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100B
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stringlengths 7
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math_qa__tC0heAuWrcMrCWAe | A man engaged a servant on the condition that he would pay him Rs.900 and a uniform after one year service. He served only for 9 months and received uniform and Rs.650, find the price of the uniform?
Choose the most appropriate option
A) 377 B) 197 C) 187 D) 100 E) 822 | <gadget id="calculator">9 * 900</gadget>
<output>8_100</output>
<gadget id="calculator">3 * 4</gadget>
<output>12</output>
<gadget id="calculator">12 * 650</gadget>
<output>7_800</output>
<gadget id="calculator">8_100 - 7_800</gadget>
<output>300</output>
<gadget id="calculator">12 * 1</gadget>
<output>12</output>
<gadget id="calculator">300 / 12</gadget>
<output>25</output>
<gadget id="calculator">25 * 4</gadget>
<output>100</output>
<result>D</result> | D | 100 | A man engaged a servant on the condition that he would pay him Rs.900 and a uniform after one year service. He served only for 9 months and received uniform and Rs.650, find the price of the uniform? | {
"A": "377",
"B": "197",
"C": "187",
"D": "100",
"E": "822"
} | multiply(divide(subtract(multiply(9, 900), multiply(multiply(const_3, const_4), 650)), multiply(multiply(const_3, const_4), const_1)), const_4) | multiply(n0,n1)|multiply(const_3,const_4)|multiply(n2,#1)|multiply(#1,const_1)|subtract(#0,#2)|divide(#4,#3)|multiply(#5,const_4)| | "explanation : 9 / 12 = 3 / 4 * 900 = 675 650 - - - - - - - - - - - - - 25 1 / 4 - - - - - - - - 25 1 - - - - - - - - - ? = > rs . 100 answer : d" | general |
math_qa__7s4v7YcuQZ9sUKTO | How many pieces of 85 cm length can be cut from a rod of 29.75 meters long? Pick one:
A) 55
B) 45
C) 35
D) 25
E) 15 | <gadget id="calculator">29.75 * 100</gadget>
<output>2_975</output>
<gadget id="calculator">2_975 / 85</gadget>
<output>35</output>
<result>C</result> | C | 35 | How many pieces of 85 cm length can be cut from a rod of 29.75 meters long? | {
"A": "55",
"B": "45",
"C": "35",
"D": "25",
"E": "15"
} | divide(multiply(29.75, const_100), 85) | multiply(n1,const_100)|divide(#0,n0)| | "number of pieces = 2975 / 85 = 35 the answer is c ." | physics |
math_qa__zSNapfAT5hDYNqO6 | In a office work is distribute between p persons. If 1/3 members are absent then work increased for each person is? Choose the correct choice from the following answers: A) 13.28 % B) 14 % C) 15 % D) 16 % E) 50 % | <gadget id="calculator">100 * 3</gadget>
<output>300</output>
<gadget id="calculator">3 - 1</gadget>
<output>2</output>
<gadget id="calculator">300 / 2</gadget>
<output>150</output>
<gadget id="calculator">150 - 100</gadget>
<output>50</output>
<result>E</result> | E | 50 | In a office work is distribute between p persons. If 1/3 members are absent then work increased for each person is? | {
"A": "13.28 %",
"B": "14 %",
"C": "15 %",
"D": "16 %",
"E": "50 %"
} | subtract(divide(multiply(const_100, 3), subtract(3, 1)), const_100) | multiply(n1,const_100)|subtract(n1,n0)|divide(#0,#1)|subtract(#2,const_100)| | "let total % of work is 100 % total person = p 1 / 3 person are absent of total person . so absent person is 1 / 3 p ie p / 3 . left person is , p - p / 3 = 2 p / 3 . p person do the work 100 % 1 person do the work 100 * p % 2 p / 3 person do the work ( 100 * p * 3 ) / 2 p % = 150 % work increased for each person is = ( 150 - 100 ) % = 50 % answer : e" | general |
math_qa__eESzr5DUPHaiZNUj | Find the area of a parallelogram with base 60 cm and height 16 cm? Answers
A) 960 cm 2
B) 240 cm 2
C) 480 cm 2
D) 45 cm 2
E) 250 cm 2 | <gadget id="calculator">60 * 16</gadget>
<output>960</output>
<result>A</result> | A | 960 | Find the area of a parallelogram with base 60 cm and height 16 cm? | {
"A": "960 cm 2",
"B": "240 cm 2",
"C": "480 cm 2",
"D": "45 cm 2",
"E": "250 cm 2"
} | multiply(60, 16) | multiply(n0,n1)| | "area of a parallelogram = base * height = 60 * 16 = 960 cm 2 answer : a" | geometry |
math_qa__r2kLN8U8SWmN61o3 | In front of you lies a figure made up with 20 x 10 square blocks. Will you be able to find out the number of unique squares and rectangles that are being formed inside this figure by combining two or more distinct squares? Choose the most appropriate option:
A) 11647
B) 11550
C) 12654
D) 26537
E) 32651 | <gadget id="calculator">20 + 1</gadget>
<output>21</output>
<gadget id="calculator">20 * 21</gadget>
<output>420</output>
<gadget id="calculator">420 / 2</gadget>
<output>210</output>
<gadget id="calculator">10 + 1</gadget>
<output>11</output>
<gadget id="calculator">11 * 10</gadget>
<output>110</output>
<gadget id="calculator">110 / 2</gadget>
<output>55</output>
<gadget id="calculator">210 * 55</gadget>
<output>11_550</output>
<result>B</result> | B | 11,550 | In front of you lies a figure made up with 20 x 10 square blocks. Will you be able to find out the number of unique squares and rectangles that are being formed inside this figure by combining two or more distinct squares? | {
"A": "11647",
"B": "11550",
"C": "12654",
"D": "26537",
"E": "32651"
} | multiply(divide(multiply(20, add(20, const_1)), const_2), divide(multiply(add(10, const_1), 10), const_2)) | add(n0,const_1)|add(n1,const_1)|multiply(n0,#0)|multiply(n1,#1)|divide(#2,const_2)|divide(#3,const_2)|multiply(#4,#5) | b 11550 there is just one way to find it out and that is the generic computing method . the number of squares and rectangles formed = ( summation of column numbers ) = ( 1 + 2 + 3 + . . . . . . + 19 + 20 ) * ( 1 + 2 + 3 + . . . . . . + 9 + 10 ) = 210 * 55 = 11550 | geometry |
math_qa__MllY4uQAXExubOiv | The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8400. If his salary for the month of May is Rs.6500, find his salary for the month of January? Choose the correct answer: A) s . 4580 B) s . 4570 C) s . 4500 D) s . 4550 E) s . 4900 | <gadget id="calculator">8_000 * 4</gadget>
<output>32_000</output>
<gadget id="calculator">8_400 * 4</gadget>
<output>33_600</output>
<gadget id="calculator">33_600 - 6_500</gadget>
<output>27_100</output>
<gadget id="calculator">32_000 - 27_100</gadget>
<output>4_900</output>
<result>E</result> | E | 4,900 | The average salary of a person for the months of January, February, March and April is Rs.8000 and that for the months February, March, April and May is Rs.8400. If his salary for the month of May is Rs.6500, find his salary for the month of January? | {
"A": "s . 4580",
"B": "s . 4570",
"C": "s . 4500",
"D": "s . 4550",
"E": "s . 4900"
} | subtract(multiply(8000, const_4), subtract(multiply(8400, const_4), 6500)) | multiply(n0,const_4)|multiply(n1,const_4)|subtract(#1,n2)|subtract(#0,#2)| | "sum of the salaries of the person for the months of january , february , march and april = 4 * 8000 = 32000 - - - - ( 1 ) sum of the salaries of the person for the months of february , march , april and may = 4 * 8400 = 33600 - - - - ( 2 ) ( 2 ) - ( 1 ) i . e . may - jan = 1600 salary of may is rs . 6500 salary of january = rs . 4900 answer : e" | general |
math_qa__U9AGCwAPqrOrgt54 | The sides of the triangle are in the ratio 1/2:1/3:1/4 and its perimeter is 104cm. The length of the longest side is? Select the correct option: A) 32 cm B) 48 cm C) 50 cm D) 28 cm E) 30 cm | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/4) + (1/3)</gadget>
<output>7/12 = around 0.583333</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(7/12) + (1/2)</gadget>
<output>13/12 = around 1.083333</output>
<gadget id="calculator">104 / (13/12)</gadget>
<output>96</output>
<gadget id="calculator">96 * (1/2)</gadget>
<output>48</output>
<result>B</result> | B | 48 | The sides of the triangle are in the ratio 1/2:1/3:1/4 and its perimeter is 104cm. The length of the longest side is? | {
"A": "32 cm",
"B": "48 cm",
"C": "50 cm",
"D": "28 cm",
"E": "30 cm"
} | multiply(divide(104, add(add(divide(1, 4), divide(1, 3)), divide(1, 2))), divide(1, 2)) | divide(n0,n5)|divide(n0,n3)|divide(n0,n1)|add(#0,#1)|add(#3,#2)|divide(n6,#4)|multiply(#5,#2) | ratio of sides = 1 / 2 : 1 / 3 : 1 / 4 = 6 : 4 : 3 largest side = 104 * 6 / 13 = 48 cm answer is b | geometry |
math_qa__Ck2OCkZcQWGKSIRT | On a race track a maximum of 5 horses can race together at a time. There are a total of 25 horses. There is no way of timing the races. What is the minimum number W of races we need to conduct to get the top 3 fastest horses? Select: A) 5 B) 7 C) 8 D) 10 E) 11 | <gadget id="calculator">25 / 5</gadget>
<output>5</output>
<gadget id="calculator">5 + 2</gadget>
<output>7</output>
<result>B</result> | B | 7 | On a race track a maximum of 5 horses can race together at a time. There are a total of 25 horses. There is no way of timing the races. What is the minimum number W of races we need to conduct to get the top 3 fastest horses? | {
"A": "5",
"B": "7",
"C": "8",
"D": "10",
"E": "11"
} | add(divide(25, 5), const_2) | divide(n1,n0)|add(#0,const_2)| | "w = 7 is the correct answer . good solution buneul . b" | general |
math_qa__BiYYPNQKlaxNyv0c | Find the principle on a certain sum of money at 5% per annum for 3 1/5 years if the amount being Rs.870? Choose the correct choice from the following:
A) rs . 700 B) rs . 780 C) rs . 750 D) rs . 1000 E) none of these | <gadget id="calculator">3 * 5</gadget>
<output>15</output>
<gadget id="calculator">15 + 3</gadget>
<output>18</output>
<gadget id="calculator">18 / 5</gadget>
<output>18/5 = around 3.6</output>
<gadget id="calculator">(18/5) * 5</gadget>
<output>18</output>
<gadget id="calculator">18 / 100</gadget>
<output>9/50 = around 0.18</output>
<gadget id="calculator">(9/50) + 1</gadget>
<output>59/50 = around 1.18</output>
<gadget id="calculator">870 / (59/50)</gadget>
<output>43_500/59 = around 737.288136</output>
<result>C</result> | C | 750 | Find the principle on a certain sum of money at 5% per annum for 3 1/5 years if the amount being Rs.870? | {
"A": "rs . 700",
"B": "rs . 780",
"C": "rs . 750",
"D": "rs . 1000",
"E": "none of these"
} | divide(870, add(divide(multiply(divide(add(multiply(3, 5), 3), 5), 5), const_100), const_1)) | multiply(n1,n3)|add(n1,#0)|divide(#1,n3)|multiply(n0,#2)|divide(#3,const_100)|add(#4,const_1)|divide(n4,#5)| | "explanation : 870 = p [ 1 + ( 5 * 16 / 5 ) / 100 ] p = 750 answer : option c" | general |
math_qa__AkedsZzagtwGUixx | The bankers discount of a certain sum of money is Rs. 576 and the true discount on the same sum for the same time is Rs. 480. The sum due is: Choose the correct option.
A) 2880 B) 2870 C) 2860 D) 2850 E) 2840 | <gadget id="calculator">480 * 576</gadget>
<output>276_480</output>
<gadget id="calculator">576 - 480</gadget>
<output>96</output>
<gadget id="calculator">276_480 / 96</gadget>
<output>2_880</output>
<result>A</result> | A | 2,880 | The bankers discount of a certain sum of money is Rs. 576 and the true discount on the same sum for the same time is Rs. 480. The sum due is: | {
"A": "2880",
"B": "2870",
"C": "2860",
"D": "2850",
"E": "2840"
} | divide(multiply(480, 576), subtract(576, 480)) | multiply(n0,n1)|subtract(n0,n1)|divide(#0,#1)| | "sum = ( b . d * t . d ) / ( b . d - t . d ) ( 576 * 480 ) / 576 - 480 ; 2880 answer : a" | gain |
math_qa__UIAYNXPOPKv1htEc | A pair of articles was bought for $50 at a discount of 30%. What must be the marked price of each of the article? Choose the correct choice from the following options
A) $ 25 B) $ 17.50 C) $ 29.65 D) $ 35.95 E) $ 45.62 | <gadget id="calculator">100 - 30</gadget>
<output>70</output>
<gadget id="calculator">50 / 2</gadget>
<output>25</output>
<gadget id="calculator">70 * 25</gadget>
<output>1_750</output>
<gadget id="calculator">1_750 / 100</gadget>
<output>35/2 = around 17.5</output>
<result>B</result> | B | 17.5 | A pair of articles was bought for $50 at a discount of 30%. What must be the marked price of each of the article? | {
"A": "$ 25",
"B": "$ 17.50",
"C": "$ 29.65",
"D": "$ 35.95",
"E": "$ 45.62"
} | divide(multiply(subtract(const_100, 30), divide(50, const_2)), const_100) | divide(n0,const_2)|subtract(const_100,n1)|multiply(#0,#1)|divide(#2,const_100)| | "s . p . of each of the article = 50 / 2 = $ 25 let m . p = $ x 70 % of x = 25 x = 25 * . 7 = $ 17.50 answer is b" | gain |
math_qa__ftgoQ2gSKo0OOp8J | Express a speed of 46 kmph in meters per second? Choose the correct answer
A) 10.78 mps B) 12.78 mps C) 97.78 mps D) 17.78 mps E) 18.78 mps | <gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">(5/18) * 46</gadget>
<output>115/9 = around 12.777778</output>
<result>B</result> | B | 12.78 | Express a speed of 46 kmph in meters per second? | {
"A": "10.78 mps",
"B": "12.78 mps",
"C": "97.78 mps",
"D": "17.78 mps",
"E": "18.78 mps"
} | multiply(const_0_2778, 46) | multiply(n0,const_0_2778)| | "46 * 5 / 18 = 12.78 mps answer : b" | physics |
math_qa__SZKD1OSeZzLDV2zK | Simplify
80−[5−(6+2(7−8−5¯¯¯¯¯¯¯¯¯¯¯))]
Choose the correct option: A) 23 B) 25 C) 89 D) 30 E) 32 | <gadget id="calculator">8 - 5</gadget>
<output>3</output>
<gadget id="calculator">6 - 5</gadget>
<output>1</output>
<gadget id="calculator">7 - 2</gadget>
<output>5</output>
<gadget id="calculator">1 + 5</gadget>
<output>6</output>
<gadget id="calculator">3 + 6</gadget>
<output>9</output>
<gadget id="calculator">80 + 9</gadget>
<output>89</output>
<result>C</result> | C | 89 | Simplify
80−[5−(6+2(7−8−5¯¯¯¯¯¯¯¯¯¯¯))] | {
"A": "23",
"B": "25",
"C": "89",
"D": "30",
"E": "32"
} | add(80, add(subtract(8, 5), add(subtract(6, 5), subtract(7, 2)))) | subtract(n2,n1)|subtract(n4,n3)|subtract(n5,n1)|add(#0,#1)|add(#3,#2)|add(n0,#4) | explanation : = 80 â ˆ ’ [ 5 â ˆ ’ ( 6 + 2 ( 7 â ˆ ’ 8 + 5 ) ) ] ( please check due to overline , sign has been changed ) = 80 â ˆ ’ [ 5 â ˆ ’ ( 6 + 2 ã — 4 ) ) ] = 80 â ˆ ’ [ â ˆ ’ 9 ] = 80 + 9 = 89 option c | general |
math_qa__CIEvu4Q4uv8ZxVRL | A farmer has an apple orchard consisting of Fuji and Gala apple trees. Due to high winds this year 10% of his trees cross pollinated. The number of his trees that are pure Fuji plus the cross-pollinated ones totals 204, while 3/4 of all his trees are pure Fuji. How many of his trees are pure Gala?
Choose the most appropriate option.
A) 22 B) 36 C) 55 D) 77 E) 88 | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(1/10) + (3/4)</gadget>
<output>17/20 = around 0.85</output>
<gadget id="calculator">204 / (17/20)</gadget>
<output>240</output>
<gadget id="calculator">240 - 204</gadget>
<output>36</output>
<result>B</result> | B | 36 | A farmer has an apple orchard consisting of Fuji and Gala apple trees. Due to high winds this year 10% of his trees cross pollinated. The number of his trees that are pure Fuji plus the cross-pollinated ones totals 204, while 3/4 of all his trees are pure Fuji. How many of his trees are pure Gala? | {
"A": "22",
"B": "36",
"C": "55",
"D": "77",
"E": "88"
} | subtract(divide(204, add(divide(10, const_100), divide(3, 4))), 204) | divide(n0,const_100)|divide(n2,n3)|add(#0,#1)|divide(n1,#2)|subtract(#3,n1)| | "let f = pure fuji , g = pure gala and c - cross pollinated . c = 10 % of x where x is total trees . c = . 1 x also 3 x / 4 = f and c + f = 204 = > . 1 x + 3 / 4 x = 204 = > x = 240 240 - 204 = pure gala = 36 . answer b" | general |
math_qa__JdAEw8WnusPk8pZa | 42 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work ? Options:
A) 28 B) 77 C) 36 D) 25 E) 13 | <gadget id="calculator">18 * 42</gadget>
<output>756</output>
<gadget id="calculator">756 / 27</gadget>
<output>28</output>
<result>A</result> | A | 28 | 42 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work ? | {
"A": "28",
"B": "77",
"C": "36",
"D": "25",
"E": "13"
} | divide(multiply(18, 42), 27) | multiply(n0,n1)|divide(#0,n2)| | "explanation : less men , means more days { indirect proportion } let the number of days be x then , 27 : 42 : : 18 : x [ please pay attention , we have written 27 : 42 rather than 42 : 27 , in indirect proportion , if you get it then chain rule is clear to you : ) ] { \ color { blue } x = \ frac { 42 \ times 18 } { 27 } } x = 28 so 28 days will be required to get work done by 27 men . answer : a" | physics |
math_qa__Yd9aJLhgOgy7Y23z | Find the area of a parallelogram with base 32 cm and height 18 cm? Choose the correct choice from the following options:
A) 576 cm 2 B) 384 cm 2 C) 672 cm 2 D) 267 cm 2 E) 286 cm 2 | <gadget id="calculator">32 * 18</gadget>
<output>576</output>
<result>A</result> | A | 576 | Find the area of a parallelogram with base 32 cm and height 18 cm? | {
"A": "576 cm 2",
"B": "384 cm 2",
"C": "672 cm 2",
"D": "267 cm 2",
"E": "286 cm 2"
} | multiply(32, 18) | multiply(n0,n1)| | "area of a parallelogram = base * height = 32 * 18 = 576 cm 2 answer : a" | geometry |
math_qa__I9XhyuzzNFIrZTck | The number 91 is equal to the sum of the cubes of two integers. What is the product of those integers? Options.
A) 8 B) 12 C) 21 D) 27 E) 39 | <gadget id="calculator">91 / 2</gadget>
<output>91/2 = around 45.5</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(91/2) ** (1/3)</gadget>
<output>2**(2/3)*91**(1/3)/2 = around 3.570018</output>
<gadget id="calculator">floor(2**(2/3)*91**(1/3)/2)</gadget>
<output>3</output>
<gadget id="calculator">3 ** 3</gadget>
<output>27</output>
<gadget id="calculator">91 - 27</gadget>
<output>64</output>
<gadget id="calculator">64 ** (1/3)</gadget>
<output>4</output>
<gadget id="calculator">3 * 4</gadget>
<output>12</output>
<result>B</result> | B | 12 | The number 91 is equal to the sum of the cubes of two integers. What is the product of those integers? | {
"A": "8",
"B": "12",
"C": "21",
"D": "27",
"E": "39"
} | multiply(floor(power(divide(91, const_2), divide(const_1, const_3))), power(subtract(91, power(floor(power(divide(91, const_2), divide(const_1, const_3))), const_3)), divide(const_1, const_3))) | divide(n0,const_2)|divide(const_1,const_3)|power(#0,#1)|floor(#2)|power(#3,const_3)|subtract(n0,#4)|power(#5,#1)|multiply(#3,#6)| | "3 ^ 3 + 4 ^ 3 = 91 therefore number is 3 * 4 = 12 b" | general |
math_qa__YEQ8JRRzdqHewdNJ | A student multiplied a number by 3/5 instead of 5/3. What is the percentage error in the calculation? Pick one.
A) 54 B) 48 C) 65 D) 25 E) 64 | <gadget id="calculator">5 / 3</gadget>
<output>5/3 = around 1.666667</output>
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">(5/3) - (3/5)</gadget>
<output>16/15 = around 1.066667</output>
<gadget id="calculator">(16/15) / (5/3)</gadget>
<output>16/25 = around 0.64</output>
<gadget id="calculator">(16/25) * 100</gadget>
<output>64</output>
<result>E</result> | E | 64 | A student multiplied a number by 3/5 instead of 5/3. What is the percentage error in the calculation? | {
"A": "54",
"B": "48",
"C": "65",
"D": "25",
"E": "64"
} | multiply(divide(subtract(divide(5, 3), divide(3, 5)), divide(5, 3)), const_100) | divide(n1,n0)|divide(n0,n1)|subtract(#0,#1)|divide(#2,#0)|multiply(#3,const_100) | let the number be x . then , error = 5 / 3 x - 3 / 5 x = 16 / 15 x . error % = ( 16 x / 15 * 3 / 5 x * 100 ) % = 64 % answer e ) 64 % | general |
math_qa__XC5IyCFKRajQioUo | Angelina walked 250 meters from her home to the grocery at a constant speed. She then walked 360 meters to the gym at double the speed. She spent 70 seconds less on her way from the grocery to the gym than on her way from home to the grocery. What was Angelina's speed, in meters per second, from the grocery to the gym? Select:
A) 2
B) 3
C) 4
D) 6
E) 12 | <gadget id="calculator">360 / 2</gadget>
<output>180</output>
<gadget id="calculator">250 - 180</gadget>
<output>70</output>
<gadget id="calculator">70 / 70</gadget>
<output>1</output>
<gadget id="calculator">1 * 2</gadget>
<output>2</output>
<result>A</result> | A | 2 | Angelina walked 250 meters from her home to the grocery at a constant speed. She then walked 360 meters to the gym at double the speed. She spent 70 seconds less on her way from the grocery to the gym than on her way from home to the grocery. What was Angelina's speed, in meters per second, from the grocery to the gym? | {
"A": "2",
"B": "3",
"C": "4",
"D": "6",
"E": "12"
} | multiply(divide(subtract(250, divide(360, const_2)), 70), const_2) | divide(n1,const_2)|subtract(n0,#0)|divide(#1,n2)|multiply(#2,const_2)| | "let the speed be x . . . so time taken from home to grocery = 250 / x . . the speed to gym = 2 x . . so time taken = 360 / 2 x = 180 / x . . its given 250 / x - 180 / x = 70 . . 70 / x = 70 . . x = 1 m / secs . . so grocery to gym = 2 * 1 = 2 m / s . . . answer : a" | physics |
math_qa__V2z4ZQGeGII1C2Ob | Logx16=0.8 then what is the value of x ? Answers:
A) 32
B) 34
C) 35
D) 36
E) 37 | <gadget id="calculator">0.8 * 4</gadget>
<output>3.2</output>
<gadget id="calculator">3.2 + 0.8</gadget>
<output>4</output>
<gadget id="calculator">4 * 16</gadget>
<output>64</output>
<gadget id="calculator">64 / 2</gadget>
<output>32</output>
<result>A</result> | A | 32 | Logx16=0.8 then what is the value of x ? | {
"A": "32",
"B": "34",
"C": "35",
"D": "36",
"E": "37"
} | divide(multiply(add(multiply(0.8, const_4), 0.8), 16), const_2) | multiply(n1,const_4)|add(n1,#0)|multiply(n0,#1)|divide(#2,const_2) | x ^ 0.8 = 16 x = ( 2 ^ 4 ) ^ ( 10 / 8 ) x = 2 ^ 5 x = 32 answer : a | general |
math_qa__EUOtb24oWSeyMt7S | A 16% stock yielding 8% is quoted at? Choices: A) 165 B) 170 C) 175 D) 180 E) 200 | <gadget id="calculator">100 / 8</gadget>
<output>25/2 = around 12.5</output>
<gadget id="calculator">(25/2) * 16</gadget>
<output>200</output>
<result>E</result> | E | 200 | A 16% stock yielding 8% is quoted at? | {
"A": "165",
"B": "170",
"C": "175",
"D": "180",
"E": "200"
} | multiply(divide(const_100, 8), 16) | divide(const_100,n1)|multiply(n0,#0)| | "assume that face value = rs . 100 as it is not given to earn rs . 8 , money invested = rs . 100 to earn rs . 16 , money invested = 100 × 16 / 8 = rs . 175 ie , market value of the stock = rs . 200 answer is e ." | gain |
math_qa__k0iMs4h8MN0N1BIC | At an elementary school, 70% of the faculty members are women and 40% of the faculty members are married. If 1⁄3 of the men are single, what fraction of the men are married? Choose the correct choice: A) 1 / 2 B) 1 / 3 C) 2 / 3 D) 3 / 5 E) 2 / 7 | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 - (1/3)</gadget>
<output>2/3 = around 0.666667</output>
<result>C</result> | C | 0.666667 | At an elementary school, 70% of the faculty members are women and 40% of the faculty members are married. If 1⁄3 of the men are single, what fraction of the men are married? | {
"A": "1 / 2",
"B": "1 / 3",
"C": "2 / 3",
"D": "3 / 5",
"E": "2 / 7"
} | subtract(const_1, divide(1, 3)) | divide(n2,n3)|subtract(const_1,#0)| | "- - - - - - - - - - - - - - - - - - - - m - - - - - - w - - - - - - - - total marrried - - - - - - - - - - 20 - - - - - 20 - - - - - - - - - 40 not married - - - - - 10 - - - - - 50 - - - - - - - - - 60 total - - - - - - - - - - - - - 30 - - - - - 70 - - - - - - - - 100 need married man / total man , so 20 / 30 = 2 / 3 c" | gain |
math_qa__3wuQQmuxKL0wh97E | Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.12 of money? Select: A) 1200 B) 1992 C) 9921 D) 2798 E) 2789 | <gadget id="calculator">10 * 2</gadget>
<output>20</output>
<gadget id="calculator">12 / 20</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">(3/5) * 100</gadget>
<output>60</output>
<gadget id="calculator">60 * 20</gadget>
<output>1_200</output>
<result>A</result> | A | 1,200 | Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.12 of money? | {
"A": "1200",
"B": "1992",
"C": "9921",
"D": "2798",
"E": "2789"
} | multiply(multiply(divide(12, multiply(10, 2)), const_100), multiply(10, 2)) | multiply(n0,n1)|divide(n2,#0)|multiply(#1,const_100)|multiply(#2,#0)| | "p = 12 ( 100 / 10 ) 2 = > p = 1200 answer : a" | general |
math_qa__So3ofGTJNFCpPjjO | A man whose bowling average is 12.4, takes 3 wickets for 26 runs and there by decreases his average by 0.4. the number of wickets taken by him before his last match is? Choose the correct choice.
A) 23 B) 24 C) 25 D) 26 E) 27 | <gadget id="calculator">floor(12.4)</gadget>
<output>12</output>
<gadget id="calculator">12 * 3</gadget>
<output>36</output>
<gadget id="calculator">36 - 26</gadget>
<output>10</output>
<gadget id="calculator">12.4 - 12</gadget>
<output>0.4</output>
<gadget id="calculator">10 / 0.4</gadget>
<output>25</output>
<result>C</result> | C | 25 | A man whose bowling average is 12.4, takes 3 wickets for 26 runs and there by decreases his average by 0.4. the number of wickets taken by him before his last match is? | {
"A": "23",
"B": "24",
"C": "25",
"D": "26",
"E": "27"
} | divide(subtract(multiply(floor(12.4), 3), 26), subtract(12.4, floor(12.4))) | floor(n0)|multiply(n1,#0)|subtract(n0,#0)|subtract(#1,n2)|divide(#3,#2)| | "12.4 * x + 26 = ( 3 + x ) 12 solve equation x = 25 answer : c" | general |
math_qa__MBtMZpxh2vAUJ231 | A 40-liter solution of alcohol and water is 5 percent alcohol. If 3.5 liters of alcohol and 6.5 liters of water are added to this solution, what percent of the solution produced is alcohol?
Choose the correct choice:
A) 8 % B) 11 % C) 14 % D) 17 % E) 20 % | <gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">40 * (1/20)</gadget>
<output>2</output>
<gadget id="calculator">2 + 3.5</gadget>
<output>5.5</output>
<gadget id="calculator">3.5 + 6.5</gadget>
<output>10</output>
<gadget id="calculator">40 + 10</gadget>
<output>50</output>
<gadget id="calculator">5.5 / 50</gadget>
<output>0.11</output>
<gadget id="calculator">0.11 * 100</gadget>
<output>11</output>
<result>B</result> | B | 11 | A 40-liter solution of alcohol and water is 5 percent alcohol. If 3.5 liters of alcohol and 6.5 liters of water are added to this solution, what percent of the solution produced is alcohol? | {
"A": "8 %",
"B": "11 %",
"C": "14 %",
"D": "17 %",
"E": "20 %"
} | multiply(divide(add(multiply(40, divide(5, const_100)), 3.5), add(40, add(3.5, 6.5))), const_100) | add(n2,n3)|divide(n1,const_100)|add(n0,#0)|multiply(n0,#1)|add(n2,#3)|divide(#4,#2)|multiply(#5,const_100)| | "the percent of alcohol in the solution is ( 0.05 ( 40 ) + 3.5 ) / 50 = 5.5 / 50 = 11 % the answer is b ." | general |
math_qa__VEV8u1efEEN5mLFg | If 12 men can reap 80 hectares in 24 days , then how many hectares can 36 men reap in 30 days? Pick one:
A) 127
B) 237
C) 300
D) 450
E) 281 | <gadget id="calculator">36 * 30</gadget>
<output>1_080</output>
<gadget id="calculator">12 * 24</gadget>
<output>288</output>
<gadget id="calculator">288 / 80</gadget>
<output>18/5 = around 3.6</output>
<gadget id="calculator">1_080 / (18/5)</gadget>
<output>300</output>
<result>C</result> | C | 300 | If 12 men can reap 80 hectares in 24 days , then how many hectares can 36 men reap in 30 days? | {
"A": "127",
"B": "237",
"C": "300",
"D": "450",
"E": "281"
} | divide(multiply(36, 30), divide(multiply(12, 24), 80)) | multiply(n3,n4)|multiply(n0,n2)|divide(#1,n1)|divide(#0,#2)| | "explanation : let the required no of hectares be x . then men - - - hectares - - - days 12 - - - - - - - - - 80 - - - - - - - - - 24 36 - - - - - - - - - x - - - - - - - - - 30 more men , more hectares ( direct proportion ) more days , more hectares ( direct proportion ) x = 36 / 12 * 30 / 24 * 80 x = 300 answer : c" | physics |
math_qa__NRmZZnihyBcHPR2V | A Martian bat flies at 60 yards per second from its nest to a dry lake. When it arrives there, it immediately continues at 45 yards per second to a nearby cave. If the distance between the lake and the cave is half the distance between the nest and the lake, what is the average speed, in yards per second, of the bat during the whole flight? Choose the correct answer: A) 36 B) 40 C) 42 D) 54 E) 65 | <gadget id="calculator">60 + 60</gadget>
<output>120</output>
<gadget id="calculator">120 + 45</gadget>
<output>165</output>
<gadget id="calculator">165 / 3</gadget>
<output>55</output>
<result>D</result> | D | 54 | A Martian bat flies at 60 yards per second from its nest to a dry lake. When it arrives there, it immediately continues at 45 yards per second to a nearby cave. If the distance between the lake and the cave is half the distance between the nest and the lake, what is the average speed, in yards per second, of the bat during the whole flight? | {
"A": "36",
"B": "40",
"C": "42",
"D": "54",
"E": "65"
} | divide(add(add(60, 60), 45), const_3) | add(n0,n0)|add(n1,#0)|divide(#1,const_3) | distance from nest to lake = d , speed = 60 , time = d / 60 distance from lake to cave = d / 2 , speed = 45 , time = d / 90 average speed = ( d + d / 2 ) / ( d / 60 + d / 90 ) = ( 3 / 2 ) / ( 1 / 36 ) = 54 answer : d | physics |
math_qa__BmxGeGA9uZ4eV3Gc | The sum of all the integers k such that –20 < k < 24 is
Choose the correct choice from the following choices: A) 0 B) - 2 C) - 25 D) - 49 E) - 37 | <gadget id="calculator">-20</gadget>
<output>-20</output>
<gadget id="calculator">(-20) + 1</gadget>
<output>-19</output>
<gadget id="calculator">(-19) + 1</gadget>
<output>-18</output>
<gadget id="calculator">(-19) + (-18)</gadget>
<output>-37</output>
<result>E</result> | E | -37 | The sum of all the integers k such that –20 < k < 24 is | {
"A": "0",
"B": "- 2",
"C": "- 25",
"D": "- 49",
"E": "- 37"
} | add(add(negate(20), const_1), add(add(negate(20), const_1), const_1)) | negate(n0)|add(#0,const_1)|add(#1,const_1)|add(#1,#2)| | "- 19 - - - - - - - - - - - - - - - - - - 0 - - - - - - - - - - - - - - - - - 23 values upto + 23 cancels outwe are left with only - 19 - 18 sum of which is - 37 . hence option d . e" | general |
math_qa__uyTotgeBGTNwFpOg | a tank is filled in 10 hours by 3 pipes a , b and c . pipe a is twice as fast as pipe b , and b is twice as fast as c . how much time will pipe b alone take to fill the tank ? Answers:
A) 56 hours
B) 28 hours
C) 35 hours
D) 66 hours
E) 47 hours | <gadget id="calculator">3 + 4</gadget>
<output>7</output>
<gadget id="calculator">2 / 7</gadget>
<output>2/7 = around 0.285714</output>
<gadget id="calculator">10 / (2/7)</gadget>
<output>35</output>
<result>C</result> | C | 35 | a tank is filled in 10 hours by 3 pipes a , b and c . pipe a is twice as fast as pipe b , and b is twice as fast as c . how much time will pipe b alone take to fill the tank ? | {
"A": "56 hours",
"B": "28 hours",
"C": "35 hours",
"D": "66 hours",
"E": "47 hours"
} | divide(10, divide(const_2, add(3, const_4))) | add(n1,const_4)|divide(const_2,#0)|divide(n0,#1) | 1 / a + 1 / b + 1 / c = 1 / 10 ( given ) also given that a = 2 b and b = 2 c = > 1 / 2 b + 1 / b + 2 / b = 1 / 10 = > ( 1 + 2 + 4 ) / 2 b = 1 / 10 = > 2 b / 7 = 10 = > b = 35 hours . answer : c | physics |
math_qa__xCSGyeizxJOgZvsP | The sum of the first 50 positive even integers is 2550. What is the sum E of even integers from 102 to 200 inclusive? Answers: A) 5100 B) 7550 C) 10100 D) 15500 E) 20100 | <gadget id="calculator">200 + 102</gadget>
<output>302</output>
<gadget id="calculator">302 / 2</gadget>
<output>151</output>
<gadget id="calculator">200 - 102</gadget>
<output>98</output>
<gadget id="calculator">98 / 2</gadget>
<output>49</output>
<gadget id="calculator">49 + 1</gadget>
<output>50</output>
<gadget id="calculator">151 * 50</gadget>
<output>7_550</output>
<result>B</result> | B | 7,550 | The sum of the first 50 positive even integers is 2550. What is the sum E of even integers from 102 to 200 inclusive? | {
"A": "5100",
"B": "7550",
"C": "10100",
"D": "15500",
"E": "20100"
} | multiply(divide(add(200, 102), const_2), add(divide(subtract(200, 102), const_2), const_1)) | add(n2,n3)|subtract(n3,n2)|divide(#1,const_2)|divide(#0,const_2)|add(#2,const_1)|multiply(#4,#3)| | "my solution is : first 50 even integers : 2 4 6 8 < . . . > integers from 102 to 200 102 104 106 108 < . . . > we notice that each integer from the second set is 100 more than the respective integer in the first set . since we have 50 even integers from 102 to 200 , then : e = 2550 + ( 100 * 50 ) = 7550 . b" | general |
math_qa__KjWIDdZ6SgHGkvdA | In a class of 28 students in an examination in maths 4 students scored 95 marks each, 3 get zero each and the average of the rest was 45. What is the average of the whole class? Select the correct option.
A) 47.3
B) 45.6
C) 44
D) 48
E) 49 | <gadget id="calculator">3 + 4</gadget>
<output>7</output>
<gadget id="calculator">28 - 7</gadget>
<output>21</output>
<gadget id="calculator">45 * 21</gadget>
<output>945</output>
<gadget id="calculator">95 * 4</gadget>
<output>380</output>
<gadget id="calculator">945 + 380</gadget>
<output>1_325</output>
<gadget id="calculator">1_325 / 28</gadget>
<output>1_325/28 = around 47.321429</output>
<result>A</result> | A | 47.3 | In a class of 28 students in an examination in maths 4 students scored 95 marks each, 3 get zero each and the average of the rest was 45. What is the average of the whole class? | {
"A": "47.3",
"B": "45.6",
"C": "44",
"D": "48",
"E": "49"
} | divide(add(multiply(45, subtract(28, add(3, 4))), multiply(95, 4)), 28) | add(n1,n3)|multiply(n1,n2)|subtract(n0,#0)|multiply(n4,#2)|add(#3,#1)|divide(#4,n0)| | "explanation : total marks obtained by a class of 25 students = 4 * 95 + 3 * 0 + 21 * 45 = 1325 average marks of whole class = 1325 / 28 = 47.3 answer : option a" | general |
math_qa__PNBgVsl1XtJM1KaD | Gopi gives Rs. 90 plus one turban as salary to his servant for one year. The servant leaves after 9 months and receives Rs. 65 and the turban. Find the price of the turban. Answers:
A) 27
B) 36
C) 29
D) 10
E) 11 | <gadget id="calculator">90 - 65</gadget>
<output>25</output>
<gadget id="calculator">12 - 9</gadget>
<output>3</output>
<gadget id="calculator">25 / 3</gadget>
<output>25/3 = around 8.333333</output>
<gadget id="calculator">(25/3) * 12</gadget>
<output>100</output>
<gadget id="calculator">100 - 90</gadget>
<output>10</output>
<result>D</result> | D | 10 | Gopi gives Rs. 90 plus one turban as salary to his servant for one year. The servant leaves after 9 months and receives Rs. 65 and the turban. Find the price of the turban. | {
"A": "27",
"B": "36",
"C": "29",
"D": "10",
"E": "11"
} | subtract(multiply(divide(subtract(90, 65), subtract(const_12, 9)), const_12), 90) | subtract(n0,n2)|subtract(const_12,n1)|divide(#0,#1)|multiply(#2,const_12)|subtract(#3,n0)| | "let the price of turban be x . thus , for one year the salary = ( 90 + x ) for 9 months he should earn 3434 ( 90 + x ) . now he gets one turban and rs . 65 . thus , 3434 ( 90 + x ) = 65 + x or 270 + 3 x = 260 + 4 x or x = 10 answer : d" | general |
math_qa__iduIqRS8CsdLYrgu | Two pipes A and B can separately fill a cistern in 60 minutes and 120 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 60 minutes. In how much time, the third pipe alone can empty the cistern? Choose the most appropriate option: A) 90 min B) 100 min C) 110 min D) 120 min E) 130 min | <gadget id="calculator">1 / 60</gadget>
<output>1/60 = around 0.016667</output>
<gadget id="calculator">1 / 120</gadget>
<output>1/120 = around 0.008333</output>
<gadget id="calculator">(1/60) + (1/120)</gadget>
<output>1/40 = around 0.025</output>
<gadget id="calculator">(1/40) - (1/60)</gadget>
<output>1/120 = around 0.008333</output>
<gadget id="calculator">1 / (1/120)</gadget>
<output>120</output>
<result>D</result> | D | 120 | Two pipes A and B can separately fill a cistern in 60 minutes and 120 minutes respectively. There is a third pipe in the bottom of the cistern to empty it. If all the three pipes are simultaneously opened, then the cistern is full in 60 minutes. In how much time, the third pipe alone can empty the cistern? | {
"A": "90 min",
"B": "100 min",
"C": "110 min",
"D": "120 min",
"E": "130 min"
} | inverse(subtract(add(inverse(60), inverse(120)), inverse(60))) | inverse(n0)|inverse(n1)|inverse(n2)|add(#0,#1)|subtract(#3,#2)|inverse(#4)| | "1 / 60 - ( 1 / 60 + 1 / 120 ) = - 1 / 120 third pipe can empty in 120 minutes answer : d" | physics |
math_qa__MlZE71DLUs9y3GGe | A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled?
Choose the correct choice from the following answers
A) 2.9 hrs
B) 8.9 hrs
C) 2.9 hrs
D) 7.2 hrs
E) 8.6 hrs | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 / 9</gadget>
<output>1/9 = around 0.111111</output>
<gadget id="calculator">(1/4) - (1/9)</gadget>
<output>5/36 = around 0.138889</output>
<gadget id="calculator">1 / (5/36)</gadget>
<output>36/5 = around 7.2</output>
<result>D</result> | D | 7.2 | A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled? | {
"A": "2.9 hrs",
"B": "8.9 hrs",
"C": "2.9 hrs",
"D": "7.2 hrs",
"E": "8.6 hrs"
} | divide(const_1, subtract(divide(const_1, 4), divide(const_1, 9))) | divide(const_1,n0)|divide(const_1,n1)|subtract(#0,#1)|divide(const_1,#2)| | "net part filled in 1 hour = ( 1 / 4 - 1 / 9 ) = 5 / 36 the cistern will be filled in 36 / 5 hrs i . e . , 7.2 hrs . answer : d" | physics |
math_qa__rJa4DDlGF3S2oMFE | Which 2 digit number has its digits reversed when you double it and take 1? Select the correct option.
A) 33 B) 34 C) 35 D) 36 E) 37 | <gadget id="calculator">10 + 2</gadget>
<output>12</output>
<gadget id="calculator">12 * 3</gadget>
<output>36</output>
<result>E</result> | E | 37 | Which 2 digit number has its digits reversed when you double it and take 1? | {
"A": "33",
"B": "34",
"C": "35",
"D": "36",
"E": "37"
} | multiply(add(const_10, 2), const_3) | add(n0,const_10)|multiply(#0,const_3) | reverse it and you get 73 which is 2 * 37 - 1 . answer : e | general |
math_qa__BYe6nTpgCcOgUtOr | By selling 8 pencils for a rupee a man loses 10%. How many for a rupee should he sell in order to gain 10%? Answers
A) 6.54 B) 9.45 C) 7.34 D) 6.67 E) 5.09 | <gadget id="calculator">100 + 10</gadget>
<output>110</output>
<gadget id="calculator">100 - 10</gadget>
<output>90</output>
<gadget id="calculator">1 / 90</gadget>
<output>1/90 = around 0.011111</output>
<gadget id="calculator">110 * (1/90)</gadget>
<output>11/9 = around 1.222222</output>
<gadget id="calculator">1 / (11/9)</gadget>
<output>9/11 = around 0.818182</output>
<gadget id="calculator">(9/11) * 8</gadget>
<output>72/11 = around 6.545455</output>
<result>A</result> | A | 6.54 | By selling 8 pencils for a rupee a man loses 10%. How many for a rupee should he sell in order to gain 10%? | {
"A": "6.54",
"B": "9.45",
"C": "7.34",
"D": "6.67",
"E": "5.09"
} | multiply(divide(const_1, multiply(add(const_100, 10), divide(const_1, subtract(const_100, 10)))), 8) | add(n2,const_100)|subtract(const_100,n1)|divide(const_1,#1)|multiply(#0,#2)|divide(const_1,#3)|multiply(n0,#4)| | "90 % - - - 8 110 % - - - ? 90 / 110 * 8 = 6.54 answer : a" | gain |
math_qa__waNA6qdGTmfsv1qF | If the sum of a number and its square is 132, what is the number? Choose one
A) 15
B) 11
C) 28
D) 91
E) none of these | <gadget id="calculator">132 ** (1/2)</gadget>
<output>2*sqrt(33) = around 11.489125</output>
<gadget id="calculator">floor(2*sqrt(33))</gadget>
<output>11</output>
<result>B</result> | B | 11 | If the sum of a number and its square is 132, what is the number? | {
"A": "15",
"B": "11",
"C": "28",
"D": "91",
"E": "none of these"
} | floor(sqrt(132)) | sqrt(n0)|floor(#0) | let the number be x . then , x + x 2 = 132 ( x + 12 ) ( x - 11 ) = 0 x = 11 answer : b | geometry |
math_qa__M4WeVvEP3VEaXvb6 | During a car trip, Maria stopped to rest after she traveled 1/2 of the total distance to her destination. she stopped again after she traveled 1/4 of the distance remaining between her first stop and her destination, and then she drove the remaining 180 miles to her detination. What was the total distance, in miles from Maria's starting point to her destination?
Choose the correct choice: A) 280 B) 320 C) 360 D) 420 E) 480 | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/2) * (1/4)</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">(1/2) + (1/8)</gadget>
<output>5/8 = around 0.625</output>
<gadget id="calculator">1 - (5/8)</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">180 / (3/8)</gadget>
<output>480</output>
<result>E</result> | E | 480 | During a car trip, Maria stopped to rest after she traveled 1/2 of the total distance to her destination. she stopped again after she traveled 1/4 of the distance remaining between her first stop and her destination, and then she drove the remaining 180 miles to her detination. What was the total distance, in miles from Maria's starting point to her destination? | {
"A": "280",
"B": "320",
"C": "360",
"D": "420",
"E": "480"
} | divide(180, subtract(1, add(divide(1, 2), multiply(divide(1, 2), divide(1, 4))))) | divide(n0,n1)|divide(n0,n3)|multiply(#0,#1)|add(#0,#2)|subtract(n0,#3)|divide(n4,#4)| | "easy 480 is the answer . 3 / 4 ( x / 2 ) = 180 x = 180 * 8 / 3 = 480 . answer e" | physics |
math_qa__4SEmgLecMUulCabN | A discount electronics store normally sells all merchandise at a discount of 10 percent to 30 percent off the suggested retail price. If, during a special sale, an additional 25 percent were to be deducted from the discount price, what would be the lowest possible price of an item costing $260 before any discount? Options:
A) $ 136.50
B) $ 145.60
C) $ 163.80
D) $ 182.00
E) $ 210.00 | <gadget id="calculator">30 + 25</gadget>
<output>55</output>
<gadget id="calculator">55 / 100</gadget>
<output>11/20 = around 0.55</output>
<gadget id="calculator">260 * (11/20)</gadget>
<output>143</output>
<result>A</result> | A | 136.5 | A discount electronics store normally sells all merchandise at a discount of 10 percent to 30 percent off the suggested retail price. If, during a special sale, an additional 25 percent were to be deducted from the discount price, what would be the lowest possible price of an item costing $260 before any discount? | {
"A": "$ 136.50",
"B": "$ 145.60",
"C": "$ 163.80",
"D": "$ 182.00",
"E": "$ 210.00"
} | multiply(260, divide(add(30, 25), const_100)) | add(n1,n2)|divide(#0,const_100)|multiply(n3,#1) | since the question is essentially just about multiplication , you can do the various mathstepsin a variety of ways ( depending on whichever method you find easiest ) . we ' re told that the first discount is 10 % to 30 % , inclusive . we ' re told that the next discount is 25 % off of the discounted price . . . . we ' re told to maximize the discount ( thus , 30 % off the original price and then 20 % off of the discounted price ) . thatmathcan be written in a number of different ways ( fractions , decimals , etc . ) : 30 % off = ( 1 - . 3 ) = ( 1 - 30 / 100 ) = ( . 7 ) and the same can be done with the 20 % additional discount . . . the final price of an item that originally cost $ 260 would be . . . . . ( $ 260 ) ( . 7 ) ( . 75 ) = ( $ 260 ) ( . 525 ) = 136.5 final answer : a | gain |
math_qa__iZlVgfa1vCGYD5bh | If 4 men can paint 60 m long wall in 3 days, then 5 men can paint 50 m long wall in Choose one
A) 3 days
B) 2 days
C) 5 days
D) 6 days
E) 1 day | <gadget id="calculator">60 / 3</gadget>
<output>20</output>
<gadget id="calculator">20 / 4</gadget>
<output>5</output>
<gadget id="calculator">5 * 5</gadget>
<output>25</output>
<gadget id="calculator">50 / 25</gadget>
<output>2</output>
<result>B</result> | B | 2 | If 4 men can paint 60 m long wall in 3 days, then 5 men can paint 50 m long wall in | {
"A": "3 days",
"B": "2 days",
"C": "5 days",
"D": "6 days",
"E": "1 day"
} | divide(50, multiply(divide(divide(60, 3), 4), 5)) | divide(n1,n2)|divide(#0,n0)|multiply(n3,#1)|divide(n4,#2) | the length of wall painted by one man in one day = 60 / 4 ã — 3 = 5 m no . of days required to paint 50 m wall by 5 men = 50 / 5 ã — 5 = 2 day . b | physics |
math_qa__R9X21WcZbRLqwi30 | A shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 10% while buying and by 10% while selling. What is his percentage profit? Pick one: A) 10.22 % B) 20.22 % C) 21.22 % D) 22.22 % E) ca n ' t be calculated | <gadget id="calculator">100 + 10</gadget>
<output>110</output>
<gadget id="calculator">100 - 10</gadget>
<output>90</output>
<gadget id="calculator">110 - 90</gadget>
<output>20</output>
<gadget id="calculator">20 * 100</gadget>
<output>2_000</output>
<gadget id="calculator">2_000 / 90</gadget>
<output>200/9 = around 22.222222</output>
<result>D</result> | D | 22.22 | A shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 10% while buying and by 10% while selling. What is his percentage profit? | {
"A": "10.22 %",
"B": "20.22 %",
"C": "21.22 %",
"D": "22.22 %",
"E": "ca n ' t be calculated"
} | divide(multiply(subtract(add(const_100, 10), subtract(const_100, 10)), const_100), subtract(const_100, 10)) | add(n0,const_100)|subtract(const_100,n1)|subtract(#0,#1)|multiply(#2,const_100)|divide(#3,#1)| | "the owner buys 100 kg but actually gets 110 kg ; the owner sells 100 kg but actually gives 90 kg ; profit : ( 110 - 90 ) / 90 * 100 = ~ 22.22 % answer : d ." | gain |
math_qa__z3KG8OQuvWmxubVe | A cricketer scored 152 runs which included 12 boundaries and 2 sixes. What percent of his total score did he make by running between the wickets. Choose the correct choice from the following answers: A) 46.2 % B) 54.54 % C) 60.52 % D) 70 % E) none of these | <gadget id="calculator">12 * 4</gadget>
<output>48</output>
<gadget id="calculator">2 * 3</gadget>
<output>6</output>
<gadget id="calculator">2 * 6</gadget>
<output>12</output>
<gadget id="calculator">48 + 12</gadget>
<output>60</output>
<gadget id="calculator">152 - 60</gadget>
<output>92</output>
<gadget id="calculator">92 / 152</gadget>
<output>23/38 = around 0.605263</output>
<gadget id="calculator">(23/38) * 100</gadget>
<output>1_150/19 = around 60.526316</output>
<result>C</result> | C | 60.52 | A cricketer scored 152 runs which included 12 boundaries and 2 sixes. What percent of his total score did he make by running between the wickets. | {
"A": "46.2 %",
"B": "54.54 %",
"C": "60.52 %",
"D": "70 %",
"E": "none of these"
} | multiply(divide(subtract(152, add(multiply(12, const_4), multiply(2, multiply(2, const_3)))), 152), const_100) | multiply(n1,const_4)|multiply(n2,const_3)|multiply(n2,#1)|add(#0,#2)|subtract(n0,#3)|divide(#4,n0)|multiply(#5,const_100)| | "explanation : number of runs made by running = 152 - ( 12 x 4 + 2 x 6 ) = 152 - ( 60 ) = 92 now , we need to calculate 92 is what percent of 152 . = > 92 / 152 * 100 = 60.52 % answer : c" | general |
math_qa__EPpCEufmbFfLjTWC | A profit of Rs. 20000 is to be distributed among A, B, C in the proportion 2 : 3 : 5. What will be the difference between B’s and C’s shares
Choose the correct choice from the following answers: A) 4000 B) 3000 C) 5500 D) 4500 E) none of these | <gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">5 + 5</gadget>
<output>10</output>
<gadget id="calculator">20_000 / 10</gadget>
<output>2_000</output>
<gadget id="calculator">5 * 2_000</gadget>
<output>10_000</output>
<gadget id="calculator">3 * 2_000</gadget>
<output>6_000</output>
<gadget id="calculator">10_000 - 6_000</gadget>
<output>4_000</output>
<result>A</result> | A | 4,000 | A profit of Rs. 20000 is to be distributed among A, B, C in the proportion 2 : 3 : 5. What will be the difference between B’s and C’s shares | {
"A": "4000",
"B": "3000",
"C": "5500",
"D": "4500",
"E": "none of these"
} | subtract(multiply(5, divide(20000, add(add(2, 3), 5))), multiply(3, divide(20000, add(add(2, 3), 5)))) | add(n1,n2)|add(n3,#0)|divide(n0,#1)|multiply(n3,#2)|multiply(n2,#2)|subtract(#3,#4) | explanation : b ' s share = rs 20000 * ( 3 / 10 ) = rs 6000 c ' s share = rs 20000 * ( 5 / 10 ) = rs 10000 difference in b ' s and c ' s shares = rs 4000 answer : a | gain |
math_qa__vcss1Zz0ZwidhDPO | A sum of money deposited at C.I. amounts to Rs.6000 in 6 years and to Rs.7500 in 7 years. Find the rate percent? Select the correct option:
A) 25 % B) 20 % C) 15 % D) 10 % E) 5 % | <gadget id="calculator">7_500 - 6_000</gadget>
<output>1_500</output>
<gadget id="calculator">1_500 / 6_000</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/4) * 100</gadget>
<output>25</output>
<result>A</result> | A | 25 | A sum of money deposited at C.I. amounts to Rs.6000 in 6 years and to Rs.7500 in 7 years. Find the rate percent? | {
"A": "25 %",
"B": "20 %",
"C": "15 %",
"D": "10 %",
"E": "5 %"
} | multiply(divide(subtract(7500, 6000), 6000), const_100) | subtract(n2,n0)|divide(#0,n0)|multiply(#1,const_100)| | "6000 - - - 1500 100 - - - ? = > 25 % answer : a" | gain |
math_qa__ZpCHBF8zX9YKNoaL | A dog breeder would like to make the largest profit off of his latest litter of puppies. Puppies with more than 4 spots sell for more money. The last litter had 10 puppies; 6 had 5 spots, 3 had 4 spots, and 1 had 2 spots. What % of puppies can the dog breeder expect to sell for a greater profit? Choose the correct answer
A) 90 %
B) 65 %
C) 50 %
D) 85 %
E) 80 % | <gadget id="calculator">5 + 4</gadget>
<output>9</output>
<gadget id="calculator">9 + 2</gadget>
<output>11</output>
<gadget id="calculator">10 / 11</gadget>
<output>10/11 = around 0.909091</output>
<gadget id="calculator">(10/11) * 100</gadget>
<output>1_000/11 = around 90.909091</output>
<result>A</result> | A | 90 | A dog breeder would like to make the largest profit off of his latest litter of puppies. Puppies with more than 4 spots sell for more money. The last litter had 10 puppies; 6 had 5 spots, 3 had 4 spots, and 1 had 2 spots. What % of puppies can the dog breeder expect to sell for a greater profit? | {
"A": "90 %",
"B": "65 %",
"C": "50 %",
"D": "85 %",
"E": "80 %"
} | multiply(divide(10, add(add(5, 4), 2)), const_100) | add(n0,n3)|add(n7,#0)|divide(n1,#1)|multiply(#2,const_100) | number of dogs with profitable spots = ( 6 + 3 ) = 6 + 3 = 9 now , we need to calculate 9 is what percent of 10 . = > 9 / 10 * 100 = 90 % a | gain |
math_qa__BGGWpMIS0ApJDdTE | Paulson spends 75% of his income. His income is increased by 20% and he increased his expenditure by 10%.Find the percentage increase in his savings . Choose the correct choice from the following: A) 25 B) 35 C) 50 D) 20 E) 15 | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 + (1/5)</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 + (1/10)</gadget>
<output>11/10 = around 1.1</output>
<gadget id="calculator">75 / 100</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(11/10) * (3/4)</gadget>
<output>33/40 = around 0.825</output>
<gadget id="calculator">(6/5) - (33/40)</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">1 - (3/4)</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(3/8) - (1/4)</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">(1/8) / (1/4)</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) * 100</gadget>
<output>50</output>
<result>C</result> | C | 50 | Paulson spends 75% of his income. His income is increased by 20% and he increased his expenditure by 10%.Find the percentage increase in his savings . | {
"A": "25",
"B": "35",
"C": "50",
"D": "20",
"E": "15"
} | multiply(divide(subtract(subtract(add(const_1, divide(20, const_100)), multiply(add(const_1, divide(10, const_100)), divide(75, const_100))), subtract(const_1, divide(75, const_100))), subtract(const_1, divide(75, const_100))), const_100) | divide(n1,const_100)|divide(n2,const_100)|divide(n0,const_100)|add(#0,const_1)|add(#1,const_1)|subtract(const_1,#2)|multiply(#4,#2)|subtract(#3,#6)|subtract(#7,#5)|divide(#8,#5)|multiply(#9,const_100) | let the original income = $ 100 . then , expenditure = $ 75 and savings = $ 25 new income = $ 120 , new expenditure = $ ( ( 110 / 100 ) * 75 ) = rs . 165 / 2 new savings = $ ( 120 - ( 165 / 2 ) ) = $ 75 / 2 increase in savings = $ ( ( 75 / 2 ) - 25 ) = $ 25 / 2 increase % = ( ( 25 / 2 ) * ( 1 / 25 ) * 100 ) % = 50 % . answer c ) 50 . | general |
math_qa__810susIJmh9MfgE9 | On the average Mr.Jackson has 2 hours to plan for an long hour meeting he talk to his assistant 7 hours to prepare the paper work needed.How much hours should jackson and assistant has t plan for 30 min meeting? Choose the correct choice from the following options
A) 4.5 hr B) 4.8 hr C) 4.9 hr D) 5.5 hr E) 6.5 hr | <gadget id="calculator">7 / 2</gadget>
<output>7/2 = around 3.5</output>
<gadget id="calculator">2 / 2</gadget>
<output>1</output>
<gadget id="calculator">(7/2) + 1</gadget>
<output>9/2 = around 4.5</output>
<result>A</result> | A | 4.5 | On the average Mr.Jackson has 2 hours to plan for an long hour meeting he talk to his assistant 7 hours to prepare the paper work needed.How much hours should jackson and assistant has t plan for 30 min meeting? | {
"A": "4.5 hr",
"B": "4.8 hr",
"C": "4.9 hr",
"D": "5.5 hr",
"E": "6.5 hr"
} | add(divide(7, const_2), divide(2, const_2)) | divide(n1,const_2)|divide(n0,const_2)|add(#0,#1) | for a 1 hour talk he took total of 9 hr time 1 hr = 9 hr ( 2 + 7 ) 30 min = 1 / 2 hr = ? so 9 * 1 / 2 div by 1 4.5 hr answer : a | general |
math_qa__ZAjpea2pIU5gSdYu | There are 4 red chips and 2 blue ones. When arranged in a row, they form a certain color pattern, for example RBRRB. How many color patterns? Options:
A) 10
B) 12
C) 24
D) 50
E) 100 | <gadget id="calculator">factorial(4)</gadget>
<output>24</output>
<gadget id="calculator">factorial(2)</gadget>
<output>2</output>
<gadget id="calculator">24 * 2</gadget>
<output>48</output>
<result>D</result> | D | 50 | There are 4 red chips and 2 blue ones. When arranged in a row, they form a certain color pattern, for example RBRRB. How many color patterns? | {
"A": "10",
"B": "12",
"C": "24",
"D": "50",
"E": "100"
} | multiply(factorial(4), factorial(2)) | factorial(n0)|factorial(n1)|multiply(#0,#1) | using anagram method : 6 _ 5 _ 4 _ 3 _ 2 _ 1 r _ r _ r _ r _ b _ b so . . 6 ! / number of repeated letters ( 4 ! ) ( 2 ! ) = 5 ans : d | general |
math_qa__x092bdYRdSkU2jkj | The sum of the first 50 positive even integers is 2550. What is the sum T of even integers from 102 to 200 inclusive? Choose the correct answer:
A) 5100 B) 7550 C) 10100 D) 15500 E) 20100 | <gadget id="calculator">200 + 102</gadget>
<output>302</output>
<gadget id="calculator">302 / 2</gadget>
<output>151</output>
<gadget id="calculator">200 - 102</gadget>
<output>98</output>
<gadget id="calculator">98 / 2</gadget>
<output>49</output>
<gadget id="calculator">49 + 1</gadget>
<output>50</output>
<gadget id="calculator">151 * 50</gadget>
<output>7_550</output>
<result>B</result> | B | 7,550 | The sum of the first 50 positive even integers is 2550. What is the sum T of even integers from 102 to 200 inclusive? | {
"A": "5100",
"B": "7550",
"C": "10100",
"D": "15500",
"E": "20100"
} | multiply(divide(add(200, 102), const_2), add(divide(subtract(200, 102), const_2), const_1)) | add(n2,n3)|subtract(n3,n2)|divide(#1,const_2)|divide(#0,const_2)|add(#2,const_1)|multiply(#4,#3)| | "my solution is : first 50 even integers : 2 4 6 8 < . . . > integers from 102 to 200 102 104 106 108 < . . . > we notice that each integer from the second set is 100 more than the respective integer in the first set . since we have 50 even integers from 102 to 200 , then : t = 2550 + ( 100 * 50 ) = 7550 . b" | general |
math_qa__Dv7Wet7Jj6GM5wWa | What should be added to 4440 so that it may become a perfect square? Pick.
A) 44 B) 45 C) 46 D) 47 E) 49 | <gadget id="calculator">10 + 10</gadget>
<output>20</output>
<gadget id="calculator">20 + 20</gadget>
<output>40</output>
<gadget id="calculator">40 + 20</gadget>
<output>60</output>
<gadget id="calculator">4 + 3</gadget>
<output>7</output>
<gadget id="calculator">60 + 7</gadget>
<output>67</output>
<gadget id="calculator">67 * 67</gadget>
<output>4_489</output>
<gadget id="calculator">4_489 - 4_440</gadget>
<output>49</output>
<result>E</result> | E | 49 | What should be added to 4440 so that it may become a perfect square? | {
"A": "44",
"B": "45",
"C": "46",
"D": "47",
"E": "49"
} | subtract(multiply(add(add(add(add(const_10, const_10), add(const_10, const_10)), add(const_10, const_10)), add(const_4, const_3)), add(add(add(add(const_10, const_10), add(const_10, const_10)), add(const_10, const_10)), add(const_4, const_3))), 4440) | add(const_10,const_10)|add(const_3,const_4)|add(#0,#0)|add(#2,#0)|add(#3,#1)|multiply(#4,#4)|subtract(#5,n0) | 67 x 67 = 4489 4489 - 4440 = 49 if added to 49 get perfect square answer = e | geometry |
math_qa__ZKOuRfTmIU9vC3MQ | A chemist mixes one liter of pure water with x liters of a 50% salt solution, and the resulting mixture is a 10% salt solution. What is the value of x? Choose the correct choice:
A) 1 / 4
B) 1 / 3
C) 1 / 2
D) 1
E) 3 | <gadget id="calculator">50 - 10</gadget>
<output>40</output>
<gadget id="calculator">10 / 40</gadget>
<output>1/4 = around 0.25</output>
<result>A</result> | A | 0.25 | A chemist mixes one liter of pure water with x liters of a 50% salt solution, and the resulting mixture is a 10% salt solution. What is the value of x? | {
"A": "1 / 4",
"B": "1 / 3",
"C": "1 / 2",
"D": "1",
"E": "3"
} | divide(10, subtract(50, 10)) | subtract(n0,n1)|divide(n1,#0) | concentration of salt in pure solution = 0 concentration of salt in salt solution = 50 % concentration of salt in the mixed solution = 10 % the pure solution and the salt solution is mixed in the ratio of - - > ( 50 - 10 ) / ( 10 - 0 ) = 4 / 1 1 / x = 4 / 1 x = 1 / 4 answer : a | gain |
math_qa__cw3UlbTIjJRvZAMy | A can contains a mixture of two liquids A and B in the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes
7 : 9. How many litres of liquid A was contained by the can initially?
Options.
A) 25
B) 21
C) 20
D) 10
E) 15 | <gadget id="calculator">9 ** (1/2)</gadget>
<output>3</output>
<gadget id="calculator">3 * 7</gadget>
<output>21</output>
<result>B</result> | B | 21 | A can contains a mixture of two liquids A and B in the ratio 7 : 5. When 9 litres of mixture are drawn off and the can is filled with B, the ratio of A and B becomes
7 : 9. How many litres of liquid A was contained by the can initially? | {
"A": "25",
"B": "21",
"C": "20",
"D": "10",
"E": "15"
} | multiply(sqrt(9), 7) | sqrt(n2)|multiply(n0,#0) | suppose the can initially contains 7 x and 5 x litres mixtures a and b respectively quantity of a in mix . left = [ 7 x – 7 / 12 * 9 ] = [ 7 x – 21 / 4 ] quantity of b in mix . left = [ 5 x – 5 / 12 * 9 ] = [ 5 x - 15 / 4 ] therefore [ 7 x - 21 / 4 ] = 7 / 9 or 28 x - 21 = 7 / 9 [ 5 x - 15 / 4 ] + 9 20 x + 21 252 x - 189 = 140 x + 147 or 112 x = 336 , x = 3 . quantity of a in the can initially = 7 * 3 = 21 answer : b | other |
math_qa__YHeQk2OAiGrMCsHl | If y is 75% greater than x, than x is what % less than y? Pick.
A) 30.6 % B) 34.4 % C) 38.7 % D) 42.9 % E) 46.5 % | <gadget id="calculator">75 + 100</gadget>
<output>175</output>
<gadget id="calculator">75 / 175</gadget>
<output>3/7 = around 0.428571</output>
<gadget id="calculator">(3/7) * 100</gadget>
<output>300/7 = around 42.857143</output>
<result>D</result> | D | 42.9 | If y is 75% greater than x, than x is what % less than y? | {
"A": "30.6 %",
"B": "34.4 %",
"C": "38.7 %",
"D": "42.9 %",
"E": "46.5 %"
} | multiply(divide(75, add(75, const_100)), const_100) | add(n0,const_100)|divide(n0,#0)|multiply(#1,const_100)| | "y = 1.75 x x = y / 1.75 = 100 y / 175 = 4 y / 7 x is 3 / 7 less which is about 42.9 % less than y . the answer is d ." | general |
math_qa__wJv1CM6frRtPHTql | A 250 m long train is running at a speed of 55 Km/hr. It crossed a platform of length 300 m in ? Choose the correct option.
A) 41.1 sec B) 20.2 sec C) 36 sec D) 50.4 sec E) none of the above | <gadget id="calculator">250 + 300</gadget>
<output>550</output>
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">55 * (5/18)</gadget>
<output>275/18 = around 15.277778</output>
<gadget id="calculator">550 / (275/18)</gadget>
<output>36</output>
<result>C</result> | C | 36 | A 250 m long train is running at a speed of 55 Km/hr. It crossed a platform of length 300 m in ? | {
"A": "41.1 sec",
"B": "20.2 sec",
"C": "36 sec",
"D": "50.4 sec",
"E": "none of the above"
} | divide(add(250, 300), multiply(55, const_0_2778)) | add(n0,n2)|multiply(n1,const_0_2778)|divide(#0,#1)| | "speed = 55 km / hr ( to convert km / hr in to m / s ) = 55 x 5 / 18 m / s distance = 250 m + 300 m ( if questions is about train crossing a post you need to consider only the length of train , ) = 550 m time = distance / speed = 550 x 18 / ( 5 x 55 ) = 36 sec ans is : c" | physics |
math_qa__CguIUJA7LBnUvOx2 | Arjun started a business with Rs. 20,000 and is joined afterwards by Anoop with Rs.40, 000. After how many months did Anoop join if the profits at the end of the year are divided equally? Choose the correct choice from the following answers:
A) 3
B) 4
C) 5
D) 6
E) 7 | <gadget id="calculator">4 * 100</gadget>
<output>400</output>
<gadget id="calculator">400 * 100</gadget>
<output>40_000</output>
<gadget id="calculator">40_000 * 12</gadget>
<output>480_000</output>
<gadget id="calculator">2 * 100</gadget>
<output>200</output>
<gadget id="calculator">200 * 100</gadget>
<output>20_000</output>
<gadget id="calculator">20_000 * 12</gadget>
<output>240_000</output>
<gadget id="calculator">480_000 - 240_000</gadget>
<output>240_000</output>
<gadget id="calculator">40 * 100</gadget>
<output>4_000</output>
<gadget id="calculator">4_000 * 10</gadget>
<output>40_000</output>
<gadget id="calculator">240_000 / 40_000</gadget>
<output>6</output>
<result>D</result> | D | 6 | Arjun started a business with Rs. 20,000 and is joined afterwards by Anoop with Rs.40, 000. After how many months did Anoop join if the profits at the end of the year are divided equally? | {
"A": "3",
"B": "4",
"C": "5",
"D": "6",
"E": "7"
} | divide(subtract(multiply(multiply(multiply(const_4, const_100), const_100), const_12), multiply(multiply(multiply(const_2, const_100), const_100), const_12)), multiply(multiply(40, const_100), const_10)) | multiply(const_100,const_4)|multiply(const_100,const_2)|multiply(n1,const_100)|multiply(#0,const_100)|multiply(#1,const_100)|multiply(#2,const_10)|multiply(#3,const_12)|multiply(#4,const_12)|subtract(#6,#7)|divide(#8,#5) | suppose anoop joined after 3 months . then , 20000 * 12 = 40000 * ( 12 – x ) = > = > x = 6 . answer : d | general |
math_qa__GQhnOeozyDlJqtUk | A cubical block of metal weighs 5 pounds. How much will another cube of the same metal weigh if its sides are twice as long? Choose the correct choice from the following answers:
A) 48
B) 40
C) 24
D) 18
E) 12 | <gadget id="calculator">2 * 4</gadget>
<output>8</output>
<gadget id="calculator">5 * 8</gadget>
<output>40</output>
<result>B</result> | B | 40 | A cubical block of metal weighs 5 pounds. How much will another cube of the same metal weigh if its sides are twice as long? | {
"A": "48",
"B": "40",
"C": "24",
"D": "18",
"E": "12"
} | multiply(5, multiply(const_2, const_4)) | multiply(const_2,const_4)|multiply(n0,#0) | for example our cube have a side 1 meter , so we have 1 cubical meter in this cube and this cubical meter weigth 5 pounds if we take cube with side 2 meters we will have 8 cubical meters in this cube 8 meters * 5 pounds = 40 pounds so answer is b and similar but more theoretical approach : if we have sides a and b than they have equal ration with their areas : a / b = a ^ 2 / b ^ 2 and they have equal ration with their volumes : a / b = a ^ 3 / b ^ 3 we have two sides 1 / 2 so their volume will be in ratio 1 / 8 weight of one cube * volume of another cube 5 * 8 = 40 so answer is b | geometry |
math_qa__UoWupadF6FwvnSJE | A box contains 3 red balls and 3 black balls. One by one, every ball is selected at random without replacement. What is the probability that the fourth ball selected is black? Select the correct option.
A) 1 / 4 B) 1 / 2 C) 1 / 2 D) 2 E) 2 / 3 | <gadget id="calculator">3 + 3</gadget>
<output>6</output>
<gadget id="calculator">6 / 3</gadget>
<output>2</output>
<result>D</result> | D | 2 | A box contains 3 red balls and 3 black balls. One by one, every ball is selected at random without replacement. What is the probability that the fourth ball selected is black? | {
"A": "1 / 4",
"B": "1 / 2",
"C": "1 / 2",
"D": "2",
"E": "2 / 3"
} | divide(add(3, 3), 3) | add(n0,n1)|divide(#0,n1)| | "my complicated version of your simple approach let the 3 black balls be bbb and 3 red balls be rrr they can be arranged in 8 slots _ _ _ _ _ _ _ _ in ( 6 ! ) / ( 3 ! x 3 ! ) if the fourth slot is black ball then the arrangement will be to fill _ _ _ b _ _ _ _ we have 5 slots and 2 black ( bb ) and 3 red ( rrr ) they can be arranged in ( 5 ! ) / ( 2 ! x 3 ! ) hence required probability = [ ( 6 ! ) / ( 3 ! x 3 ! ) ] / [ ( 5 ! ) / ( 2 ! x 3 ! ) ] = 2 d" | probability |
math_qa__GDDSacLhmeZRYDkL | 3 candidates in an election and received 1136, 5636 and 11628 votes respectively. What % of the total votes did the winning candidate gotin that election?
Choose the most appropriate option.
A) 40 % B) 55 % C) 57 % D) 63.2 % E) 62 % | <gadget id="calculator">1_136 + 5_636</gadget>
<output>6_772</output>
<gadget id="calculator">6_772 + 11_628</gadget>
<output>18_400</output>
<gadget id="calculator">11_628 / 18_400</gadget>
<output>2_907/4_600 = around 0.631957</output>
<gadget id="calculator">(2_907/4_600) * 100</gadget>
<output>2_907/46 = around 63.195652</output>
<result>D</result> | D | 63.2 | 3 candidates in an election and received 1136, 5636 and 11628 votes respectively. What % of the total votes did the winning candidate gotin that election? | {
"A": "40 %",
"B": "55 %",
"C": "57 %",
"D": "63.2 %",
"E": "62 %"
} | multiply(divide(11628, add(add(1136, 5636), 11628)), const_100) | add(n1,n2)|add(n3,#0)|divide(n3,#1)|multiply(#2,const_100)| | "total number of votes polled = ( 1136 + 5636 + 11628 ) = 18400 so , required percentage = 11628 / 18400 * 100 = 63.2 % d" | gain |
math_qa__bEkAyjxLfcyRMaOS | There are 14 teams in a soccer league and each team plays each of the other teams once. How many games will be played in total?
Options
A) 87 B) 91 C) 95 D) 99 E) 103 | <gadget id="calculator">factorial(14)</gadget>
<output>87_178_291_200</output>
<gadget id="calculator">14 - 2</gadget>
<output>12</output>
<gadget id="calculator">factorial(12)</gadget>
<output>479_001_600</output>
<gadget id="calculator">factorial(2)</gadget>
<output>2</output>
<gadget id="calculator">479_001_600 * 2</gadget>
<output>958_003_200</output>
<gadget id="calculator">87_178_291_200 / 958_003_200</gadget>
<output>91</output>
<result>B</result> | B | 91 | There are 14 teams in a soccer league and each team plays each of the other teams once. How many games will be played in total? | {
"A": "87",
"B": "91",
"C": "95",
"D": "99",
"E": "103"
} | divide(factorial(14), multiply(factorial(subtract(14, const_2)), factorial(const_2))) | factorial(n0)|factorial(const_2)|subtract(n0,const_2)|factorial(#2)|multiply(#3,#1)|divide(#0,#4)| | "14 c 2 = 91 the answer is b ." | general |
math_qa__Zt3bdbahaFXJ4lJA | Two employees A and B are paid a total of Rs. 450 per week by their employer. If A is paid 150 percent of the sum paid to B, how much is B paid per week? Choices
A) 130 B) 140 C) 150 D) 170 E) 180 | <gadget id="calculator">150 / 100</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">(3/2) + 1</gadget>
<output>5/2 = around 2.5</output>
<gadget id="calculator">450 / (5/2)</gadget>
<output>180</output>
<result>E</result> | E | 180 | Two employees A and B are paid a total of Rs. 450 per week by their employer. If A is paid 150 percent of the sum paid to B, how much is B paid per week? | {
"A": "130",
"B": "140",
"C": "150",
"D": "170",
"E": "180"
} | divide(450, add(divide(150, const_100), const_1)) | divide(n1,const_100)|add(#0,const_1)|divide(n0,#1)| | "let the amount paid to a per week = x and the amount paid to b per week = y then x + y = 450 but x = 150 % of y = 150 y / 100 = 15 y / 10 ∴ 15 y / 10 + y = 450 ⇒ y [ 15 / 10 + 1 ] = 450 ⇒ 25 y / 10 = 450 ⇒ 25 y = 4500 ⇒ y = 4500 / 25 = rs . 180 e" | general |
math_qa__Rzjas9t3INar9kLj | A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger? Pick: A) 3.6 sec B) 18 sec C) 36 sec D) 72 sec E) none | <gadget id="calculator">240 + 120</gadget>
<output>360</output>
<gadget id="calculator">45 - 9</gadget>
<output>36</output>
<gadget id="calculator">10 / 2</gadget>
<output>5</output>
<gadget id="calculator">36 / 2</gadget>
<output>18</output>
<gadget id="calculator">5 / 18</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">36 * (5/18)</gadget>
<output>10</output>
<gadget id="calculator">360 / 10</gadget>
<output>36</output>
<result>C</result> | C | 36 | A jogger running at 9 km/hr along side a railway track is 240 m ahead of the engine of a 120 m long train running at 45 km/hr in the same direction. In how much time will the train pass the jogger? | {
"A": "3.6 sec",
"B": "18 sec",
"C": "36 sec",
"D": "72 sec",
"E": "none"
} | divide(add(240, 120), multiply(subtract(45, 9), divide(divide(const_10, const_2), divide(subtract(45, 9), const_2)))) | add(n1,n2)|divide(const_10,const_2)|subtract(n3,n0)|divide(#2,const_2)|divide(#1,#3)|multiply(#4,#2)|divide(#0,#5)| | "speed of train relative to jogger = 45 - 9 = 36 km / hr . = 36 * 5 / 18 = 10 m / sec . distance to be covered = 240 + 120 = 360 m . time taken = 360 / 10 = 36 sec answer : c" | general |
math_qa__CcNyV2YNBaLDecem | 4 is what percent of 50?
Choose the correct choice from the following options.
A) 0.2 %
B) 8 %
C) 10 %
D) 20 %
E) 500 % | <gadget id="calculator">4 / 50</gadget>
<output>2/25 = around 0.08</output>
<gadget id="calculator">(2/25) * 100</gadget>
<output>8</output>
<result>B</result> | B | 8 | 4 is what percent of 50? | {
"A": "0.2 %",
"B": "8 %",
"C": "10 %",
"D": "20 %",
"E": "500 %"
} | multiply(divide(4, 50), const_100) | divide(n0,n1)|multiply(#0,const_100)| | "4 = x * 50 / 100 x = 8 % ans ; b" | gain |
math_qa__earbyq5HZcjb9xHh | The ratio of the radius of two circles is 2: 3, and then the ratio of their areas is? Choices:
A) 1 : 7 B) 2 : 9 C) 4 : 9 D) 3 : 7 E) 3 : 4 | <gadget id="calculator">pi * (2 ** 2)</gadget>
<output>4*pi = around 12.566371</output>
<gadget id="calculator">pi * (3 ** 2)</gadget>
<output>9*pi = around 28.274334</output>
<gadget id="calculator">(4*pi) / (9*pi)</gadget>
<output>4/9 = around 0.444444</output>
<result>C</result> | C | 0.444444 | The ratio of the radius of two circles is 2: 3, and then the ratio of their areas is? | {
"A": "1 : 7",
"B": "2 : 9",
"C": "4 : 9",
"D": "3 : 7",
"E": "3 : 4"
} | divide(circle_area(2), circle_area(3)) | circle_area(n0)|circle_area(n1)|divide(#0,#1) | r 1 : r 2 = 2 : 3 î r 1 ^ 2 : î r 2 ^ 2 r 1 ^ 2 : r 2 ^ 2 = 4 : 9 answer : c | geometry |
math_qa__hZ6nCB4ECUWj8ttj | The profit earned by selling an article for $ 832 is equal to the loss incurred when the same article is sold for $ 448. What should be the sale price for making 55% profit? Choose the correct option:
A) $ 480 B) $ 450 C) $ 992 D) $ 870 E) $ 660 | <gadget id="calculator">832 + 448</gadget>
<output>1_280</output>
<gadget id="calculator">1_280 / 2</gadget>
<output>640</output>
<gadget id="calculator">640 * 55</gadget>
<output>35_200</output>
<gadget id="calculator">35_200 / 100</gadget>
<output>352</output>
<gadget id="calculator">352 + 640</gadget>
<output>992</output>
<result>C</result> | C | 992 | The profit earned by selling an article for $ 832 is equal to the loss incurred when the same article is sold for $ 448. What should be the sale price for making 55% profit? | {
"A": "$ 480",
"B": "$ 450",
"C": "$ 992",
"D": "$ 870",
"E": "$ 660"
} | add(divide(multiply(divide(add(832, 448), const_2), 55), const_100), divide(add(832, 448), const_2)) | add(n0,n1)|divide(#0,const_2)|multiply(n2,#1)|divide(#2,const_100)|add(#3,#1)| | "c let c . p . = $ x . then , 832 - x = x - 448 2 x = 1280 = > x = 640 required s . p . = 155 % of $ 640 = 150 / 100 * 640 = $ 992 ." | gain |
math_qa__iJhzUO0EIViGVCwE | for 6 - digit integer 46 x , y 12 , when x and y are drawn at random from { 3 , 58 } , what is the probability w that the integer drawn is divisible by 8 ? * a solution will be posted in two days .
Choose the correct choice from the following choices:
A) 1 / 6 B) 1 / 3 C) 1 / 2 D) 2 / 3 E) 5 / 6 | <gadget id="calculator">58 - 46</gadget>
<output>12</output>
<gadget id="calculator">12 / 6</gadget>
<output>2</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<result>D</result> | D | 0.666667 | for 6 - digit integer 46 x , y 12 , when x and y are drawn at random from { 3 , 58 } , what is the probability w that the integer drawn is divisible by 8 ? * a solution will be posted in two days . | {
"A": "1 / 6",
"B": "1 / 3",
"C": "1 / 2",
"D": "2 / 3",
"E": "5 / 6"
} | divide(divide(subtract(58, 46), 6), 3) | subtract(n4,n1)|divide(#0,n0)|divide(#1,n3) | in general , the remainder divided by integer n is the same as the remainder that up to tens of n is divided by 8 . thus , in order for 46 , x , y 12 to be divided by 8 , y 12 should be divided by 8 . amongst 3 , 5,8 , 3 and 5 can be divided by 8 . therefore , w = two out of three can be divided and the answer is d . | general |
math_qa__Vbvertbm8Gh7Ji2R | The average of 10 numbers is calculated as 46. It is discovered later on that while calculating the average, the number 75 was incorrectly read as 25, and this incorrect number was used in the calculation. What is the correct average?
Select
A) 48 B) 51 C) 60 D) 71 E) 96 | <gadget id="calculator">46 * 10</gadget>
<output>460</output>
<gadget id="calculator">460 - 25</gadget>
<output>435</output>
<gadget id="calculator">435 + 75</gadget>
<output>510</output>
<gadget id="calculator">510 / 10</gadget>
<output>51</output>
<result>B</result> | B | 51 | The average of 10 numbers is calculated as 46. It is discovered later on that while calculating the average, the number 75 was incorrectly read as 25, and this incorrect number was used in the calculation. What is the correct average? | {
"A": "48",
"B": "51",
"C": "60",
"D": "71",
"E": "96"
} | divide(add(subtract(multiply(46, 10), 25), 75), 10) | multiply(n0,n1)|subtract(#0,n3)|add(n2,#1)|divide(#2,n0)| | "the total sum of the numbers should be increased by 50 . then the average will increase by 50 / 10 = 5 . the correct average is 51 . the answer is b ." | general |
math_qa__akjWB0dFWzKwbRcC | All the students of class are told to sit in circle shape. Here the boy at the 10 th position is exactly opposite to 40 th boy. Total number of boys in the class? Select the correct option: A) 50 B) 45 C) 60 D) 55 E) 53 | <gadget id="calculator">40 - 10</gadget>
<output>30</output>
<gadget id="calculator">30 * 2</gadget>
<output>60</output>
<result>C</result> | C | 60 | All the students of class are told to sit in circle shape. Here the boy at the 10 th position is exactly opposite to 40 th boy. Total number of boys in the class? | {
"A": "50",
"B": "45",
"C": "60",
"D": "55",
"E": "53"
} | multiply(subtract(40, 10), const_2) | subtract(n1,n0)|multiply(#0,const_2)| | "as half the circle shape consist of 40 - 10 = 30 boys , so total number of boys in full circle = 2 * 30 = 60 answer : c" | general |
math_qa__pmnWhlB3BczEehbQ | In what time will a train 120 metres long cross an electric pole, if its speed be 72 km/hr?
Choose the correct choice from the following choices
A) 7 sec B) 6 sec C) 8 sec D) 9 sec E) 5 sec | <gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">72 * (5/18)</gadget>
<output>20</output>
<gadget id="calculator">120 / 20</gadget>
<output>6</output>
<result>B</result> | B | 6 | In what time will a train 120 metres long cross an electric pole, if its speed be 72 km/hr? | {
"A": "7 sec",
"B": "6 sec",
"C": "8 sec",
"D": "9 sec",
"E": "5 sec"
} | divide(120, multiply(72, const_0_2778)) | multiply(n1,const_0_2778)|divide(n0,#0)| | "solution speed = ( 72 x 5 / 18 ) m / sec = 20 m / sec time taken = ( 120 / 20 ) sec = 6 sec . answer b" | physics |
math_qa__PIQAaMY3rXyeQKnC | A, B and C completed a piece of work, A worked for 6 days, B for 9 days and C for 4 days. Their daily wages were in the ratio of 3:4:5. Find the daily wages of C, if their total earning was Rs.1850? Select the correct option:
A) s . 125
B) s . 108
C) s . 100
D) s . 103
E) s . 102 | <gadget id="calculator">6 * 3</gadget>
<output>18</output>
<gadget id="calculator">9 * 4</gadget>
<output>36</output>
<gadget id="calculator">18 + 36</gadget>
<output>54</output>
<gadget id="calculator">4 * 5</gadget>
<output>20</output>
<gadget id="calculator">54 + 20</gadget>
<output>74</output>
<gadget id="calculator">1_850 / 74</gadget>
<output>25</output>
<gadget id="calculator">5 * 25</gadget>
<output>125</output>
<result>A</result> | A | 125 | A, B and C completed a piece of work, A worked for 6 days, B for 9 days and C for 4 days. Their daily wages were in the ratio of 3:4:5. Find the daily wages of C, if their total earning was Rs.1850? | {
"A": "s . 125",
"B": "s . 108",
"C": "s . 100",
"D": "s . 103",
"E": "s . 102"
} | multiply(5, divide(1850, add(add(multiply(6, 3), multiply(9, 4)), multiply(4, 5)))) | multiply(n0,n3)|multiply(n1,n2)|multiply(n2,n5)|add(#0,#1)|add(#3,#2)|divide(n6,#4)|multiply(n5,#5)| | "3 x 4 x 5 x 6 9 4 18 x + 36 x + 20 x = 1850 74 x = 1850 = > x = 25 5 x = 125 rs . answer : a" | physics |
math_qa__czuyxsudQFTXgI1W | A worker's daily wage is increased by 50% and the new wage is $42 per day. What was the worker's daily wage before the increase?
Pick:
A) $ 22 B) $ 24 C) $ 28 D) $ 32 E) $ 36 | <gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 + (1/2)</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">42 / (3/2)</gadget>
<output>28</output>
<result>C</result> | C | 28 | A worker's daily wage is increased by 50% and the new wage is $42 per day. What was the worker's daily wage before the increase? | {
"A": "$ 22",
"B": "$ 24",
"C": "$ 28",
"D": "$ 32",
"E": "$ 36"
} | divide(42, add(const_1, divide(50, const_100))) | divide(n0,const_100)|add(#0,const_1)|divide(n1,#1)| | "let x be the daily wage before the increase . 1.5 x = $ 42 x = $ 28 the answer is c ." | physics |
math_qa__HgXrWPXlQeFmF35p | 5 ltr of water is added with 15 ltr of a solution containing 26%of alcohol in the water. The %of alcohol in the new mixture is? Choose the correct choice from the following: A) 17.25 % B) 19 C) 19.5 % D) 21.5 % E) 22 % | <gadget id="calculator">26 / 100</gadget>
<output>13/50 = around 0.26</output>
<gadget id="calculator">(13/50) * 15</gadget>
<output>39/10 = around 3.9</output>
<gadget id="calculator">5 + 15</gadget>
<output>20</output>
<gadget id="calculator">(39/10) / 20</gadget>
<output>39/200 = around 0.195</output>
<gadget id="calculator">100 * (39/200)</gadget>
<output>39/2 = around 19.5</output>
<result>C</result> | C | 19.5 | 5 ltr of water is added with 15 ltr of a solution containing 26%of alcohol in the water. The %of alcohol in the new mixture is? | {
"A": "17.25 %",
"B": "19",
"C": "19.5 %",
"D": "21.5 %",
"E": "22 %"
} | multiply(const_100, divide(multiply(divide(26, const_100), 15), add(5, 15))) | add(n0,n1)|divide(n2,const_100)|multiply(n1,#1)|divide(#2,#0)|multiply(#3,const_100) | we have a 15 litre solution containing 26 % alcohol in water . = > quantity of alcohol in the solution = 15 ã — 26 / 100 now 5 litre of water is added to the solution . = > total quantity of the new solution = 15 + 5 = 20 percentage of alcohol in the new solution = 15 ã — 26 / 100 20 ã — 100 = 15 ã — 26 / 10020 ã — 100 = 15 ã — 1.3 / 100 = 19.5 % c | general |
math_qa__B6VwkjOgANCQBMR5 | A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Select.
A) 177 B) 166 C) 350 D) 198 E) 161 | <gadget id="calculator">300 / 18</gadget>
<output>50/3 = around 16.666667</output>
<gadget id="calculator">(50/3) * 39</gadget>
<output>650</output>
<gadget id="calculator">650 - 300</gadget>
<output>350</output>
<result>C</result> | C | 350 | A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform? | {
"A": "177",
"B": "166",
"C": "350",
"D": "198",
"E": "161"
} | subtract(multiply(divide(300, 18), 39), 300) | divide(n0,n2)|multiply(n1,#0)|subtract(#1,n0)| | "speed = [ 300 / 18 ] m / sec = 50 / 3 m / sec . let the length of the platform be x meters . then , x + 300 / 39 = 50 / 3 3 ( x + 300 ) = 1950 è x = 350 m . answer : c" | physics |
math_qa__3ceDw6UAZJFPNKfG | Anne bought doughnuts for a class breakfast party. She bought 15 chocolate doughnuts, 12 coconut doughnuts, and 14 jam-filled doughnuts. How many doughnuts did Anne buy in all?
Select
A) 41 B) 36 C) 39 D) 21 E) 11 | <gadget id="calculator">15 + 12</gadget>
<output>27</output>
<gadget id="calculator">27 + 14</gadget>
<output>41</output>
<result>A</result> | A | 41 | Anne bought doughnuts for a class breakfast party. She bought 15 chocolate doughnuts, 12 coconut doughnuts, and 14 jam-filled doughnuts. How many doughnuts did Anne buy in all? | {
"A": "41",
"B": "36",
"C": "39",
"D": "21",
"E": "11"
} | add(add(15, 12), 14) | add(n0,n1)|add(n2,#0) | add the numbers of doughnuts . 15 + 12 + 14 = 41 . answer is a . | general |
math_qa__lIFSzr82BysrOYl3 | Following an increase in prices, the price of a candy box was 10 pounds and the price of a can of soda was 6 pounds. If the price of a candy box was raised by 25%, and the price of a can of soda was raised by 50%. What was the price of a box of candy plus a can of soda before prices were raised? Choose the correct option: A) 11 . B) 12 C) 13 D) 14 E) 14.5 | <gadget id="calculator">10 * 100</gadget>
<output>1_000</output>
<gadget id="calculator">100 + 25</gadget>
<output>125</output>
<gadget id="calculator">1_000 / 125</gadget>
<output>8</output>
<gadget id="calculator">6 * 100</gadget>
<output>600</output>
<gadget id="calculator">100 + 50</gadget>
<output>150</output>
<gadget id="calculator">600 / 150</gadget>
<output>4</output>
<gadget id="calculator">8 + 4</gadget>
<output>12</output>
<result>B</result> | B | 12 | Following an increase in prices, the price of a candy box was 10 pounds and the price of a can of soda was 6 pounds. If the price of a candy box was raised by 25%, and the price of a can of soda was raised by 50%. What was the price of a box of candy plus a can of soda before prices were raised? | {
"A": "11 .",
"B": "12",
"C": "13",
"D": "14",
"E": "14.5"
} | add(divide(multiply(10, const_100), add(const_100, 25)), divide(multiply(6, const_100), add(const_100, 50))) | add(n2,const_100)|add(n3,const_100)|multiply(n0,const_100)|multiply(n1,const_100)|divide(#2,#0)|divide(#3,#1)|add(#4,#5)| | "let the candy and soda before the increase be c and s respectively so increased price of can = c ( 1 + 25 / 100 ) = 10 - - - - - - - - - - - > c = 8 increase price of soda : s ( 1 + 1 / 2 ) = 6 - - - - - - - - - - - > s = 4 hence total = 8 + 4 = 12 . . hence answer : b" | general |
math_qa__Xrj37Ja0TRWS1QwN | If a boat is rowed downstream for 500 km in 5 hours and upstream for 240 km in 6 hours, what is the speed of the boat and the river?
Pick: A) 70 , 30 B) 30 , 70 C) 70 , 70 D) 30 , 30 E) 80 , 50 | <gadget id="calculator">240 / 6</gadget>
<output>40</output>
<gadget id="calculator">500 / 5</gadget>
<output>100</output>
<gadget id="calculator">40 + 100</gadget>
<output>140</output>
<gadget id="calculator">140 / 2</gadget>
<output>70</output>
<result>A</result> | A | 70 | If a boat is rowed downstream for 500 km in 5 hours and upstream for 240 km in 6 hours, what is the speed of the boat and the river? | {
"A": "70 , 30",
"B": "30 , 70",
"C": "70 , 70",
"D": "30 , 30",
"E": "80 , 50"
} | divide(add(divide(240, 6), divide(500, 5)), const_2) | divide(n2,n3)|divide(n0,n1)|add(#0,#1)|divide(#2,const_2)| | "explanation : if x : speed of boats man in still water y : speed of the river downstream speed ( ds ) = x + y upstream speed ( us ) = x â € “ y x = ( ds + us ) / 2 y = ( ds â € “ us ) / 2 in the above problem ds = 100 ; us = 40 x = ( 100 + 40 ) / 2 = 140 / 2 = 70 km / hr y = ( 100 - 40 ) / 2 = 60 / 2 = 30 km / hr answer : a" | physics |
math_qa__3MEvjRlGyVIvj6Fx | The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8215 for a computer table, then what was the cost price of the computer table? Choose one: A) 7297 B) 6625 C) 2871 D) 6725 E) 2981 | <gadget id="calculator">24 / 100</gadget>
<output>6/25 = around 0.24</output>
<gadget id="calculator">1 + (6/25)</gadget>
<output>31/25 = around 1.24</output>
<gadget id="calculator">8_215 / (31/25)</gadget>
<output>6_625</output>
<result>B</result> | B | 6,625 | The owner of a furniture shop charges his customer 24% more than the cost price. If a customer paid Rs. 8215 for a computer table, then what was the cost price of the computer table? | {
"A": "7297",
"B": "6625",
"C": "2871",
"D": "6725",
"E": "2981"
} | divide(8215, add(const_1, divide(24, const_100))) | divide(n0,const_100)|add(#0,const_1)|divide(n1,#1)| | "explanation : cp = sp * ( 100 / ( 100 + profit % ) ) = 8215 ( 100 / 124 ) = rs . 6625 . answer : b" | gain |
math_qa__kKZ2QG9SQHiYSIRa | Set D consists of all the prime numbers between 10 and 25. What is the range of set D? Choose the most appropriate option:
A) 12 B) 13 C) 16.6 D) 17 E) 23 | <gadget id="calculator">10 + 2</gadget>
<output>12</output>
<result>A</result> | A | 12 | Set D consists of all the prime numbers between 10 and 25. What is the range of set D? | {
"A": "12",
"B": "13",
"C": "16.6",
"D": "17",
"E": "23"
} | add(10, const_2) | add(n0,const_2) | answer of set d is 12 = a | general |
math_qa__Hw9t4pbbnZHjFA7T | An amount of money is to be divided between P, Q and R in the ratio of 3:7:12. If the difference between the shares of P and Q is Rs.2800, what will be the difference between Q and R's share? Options
A) 2788 B) 3500 C) 7282 D) 2782 E) 2729 | <gadget id="calculator">12 - 7</gadget>
<output>5</output>
<gadget id="calculator">7 - 3</gadget>
<output>4</output>
<gadget id="calculator">2_800 / 4</gadget>
<output>700</output>
<gadget id="calculator">5 * 700</gadget>
<output>3_500</output>
<result>B</result> | B | 3,500 | An amount of money is to be divided between P, Q and R in the ratio of 3:7:12. If the difference between the shares of P and Q is Rs.2800, what will be the difference between Q and R's share? | {
"A": "2788",
"B": "3500",
"C": "7282",
"D": "2782",
"E": "2729"
} | multiply(subtract(12, 7), divide(2800, subtract(7, 3))) | subtract(n1,n0)|subtract(n2,n1)|divide(n3,#0)|multiply(#2,#1)| | "4 - - - 2800 5 - - - ? = > 3500 answer : b" | general |
math_qa__mbSmquxnNNDv9Cit | The price of a mobile was increased by 25 percent. The new price was then decreased by 10 percent. A single increase of what percent is equivalent to these two successive changes? Select.
A) 10 % B) 15 % C) 17.5 % D) 25 % E) 12.5 % | <gadget id="calculator">100 + 25</gadget>
<output>125</output>
<gadget id="calculator">125 / 100</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">100 - 10</gadget>
<output>90</output>
<gadget id="calculator">90 / 100</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">(5/4) * (9/10)</gadget>
<output>9/8 = around 1.125</output>
<gadget id="calculator">(9/8) - 1</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">(1/8) * 100</gadget>
<output>25/2 = around 12.5</output>
<result>E</result> | E | 12.5 | The price of a mobile was increased by 25 percent. The new price was then decreased by 10 percent. A single increase of what percent is equivalent to these two successive changes? | {
"A": "10 %",
"B": "15 %",
"C": "17.5 %",
"D": "25 %",
"E": "12.5 %"
} | multiply(subtract(multiply(divide(add(const_100, 25), const_100), divide(subtract(const_100, 10), const_100)), const_1), const_100) | add(n0,const_100)|subtract(const_100,n1)|divide(#0,const_100)|divide(#1,const_100)|multiply(#2,#3)|subtract(#4,const_1)|multiply(#5,const_100)| | "consider base price - $ 100 25 % increase = 1.25 * 100 = $ 125 then a 10 % decrease on new price = 0.9 * 125 = $ 112.5 so final price of radio - $ 112.5 therefore a 12.5 % increase correct option - e" | general |
math_qa__eyF6oJmm2CAhW3Ax | Caleb spends $64.50 on 50 hamburgers for the marching band. If single burgers cost $1.00 each and double burgers cost $1.50 each, how many double burgers did he buy? Choose the correct choice from the following options.
A) 29
B) 10
C) 20
D) 40
E) 45 | <gadget id="calculator">64.5 - 50</gadget>
<output>14.5</output>
<gadget id="calculator">1.5 - 1</gadget>
<output>0.5</output>
<gadget id="calculator">14.5 / 0.5</gadget>
<output>29</output>
<result>A</result> | A | 29 | Caleb spends $64.50 on 50 hamburgers for the marching band. If single burgers cost $1.00 each and double burgers cost $1.50 each, how many double burgers did he buy? | {
"A": "29",
"B": "10",
"C": "20",
"D": "40",
"E": "45"
} | divide(subtract(64.50, 50), subtract(1.50, 1.00)) | subtract(n0,n1)|subtract(n3,n2)|divide(#0,#1)| | "solution - lets say , single hamburgersxand double hamburgersy given that , x + y = 50 and 1 x + 1.5 y = 64.50 . by solving the equations y = 29 . ans a ." | general |
math_qa__6OzlWrMXIWozVTNS | A rectangular plot measuring 40 meters by 50 meters is to be enclosed by wire fencing. If the poles of the fence are kept 5 meters apart. How many poles will be needed? Choose the correct answer:
A) 46 m B) 36 m C) 26 m D) 56 m E) 25 m | <gadget id="calculator">40 + 50</gadget>
<output>90</output>
<gadget id="calculator">90 * 2</gadget>
<output>180</output>
<gadget id="calculator">180 / 5</gadget>
<output>36</output>
<result>B</result> | B | 36 | A rectangular plot measuring 40 meters by 50 meters is to be enclosed by wire fencing. If the poles of the fence are kept 5 meters apart. How many poles will be needed? | {
"A": "46 m",
"B": "36 m",
"C": "26 m",
"D": "56 m",
"E": "25 m"
} | divide(multiply(add(40, 50), const_2), 5) | add(n0,n1)|multiply(#0,const_2)|divide(#1,n2)| | "perimeter of the plot = 2 ( 40 + 50 ) = 180 m no of poles = 180 / 5 = 36 m answer : b" | physics |
math_qa__lxFCvDQSNXzcSHgj | The no 2.52, when written as a fraction and reduced to lowest terms,the sum of the numeratr n denominator is : Pick.
A) 7 B) 141 C) 29 D) 349 E) 359 | <gadget id="calculator">2.52 * 100</gadget>
<output>252</output>
<gadget id="calculator">252 - 2</gadget>
<output>250</output>
<gadget id="calculator">100 - 1</gadget>
<output>99</output>
<gadget id="calculator">250 + 99</gadget>
<output>349</output>
<result>D</result> | D | 349 | The no 2.52, when written as a fraction and reduced to lowest terms,the sum of the numeratr n denominator is : | {
"A": "7",
"B": "141",
"C": "29",
"D": "349",
"E": "359"
} | add(subtract(multiply(2.52, const_100), const_2), subtract(const_100, const_1)) | multiply(n0,const_100)|subtract(const_100,const_1)|subtract(#0,const_2)|add(#2,#1) | the actual question has bar on decimal part . hence the number is 2.5252525252 . . . . . . so let x = 2.525252 . . then 100 x = 252.525252 100 x - x = 250 x = 250 / 99 so ans = num + den = 349 answer : d | general |
math_qa__kPEwNo0zRpJwagsX | If Sharon's weekly salary increased by 15 percent, she would earn $575per week. If instead, her weekly salary were to decreased by 12 percent, how much would she earn per week? Choose the correct option.
A) rs . 540 B) rs . 580 C) rs . 560 D) rs . 620 E) rs . 650 | <gadget id="calculator">15 / 100</gadget>
<output>3/20 = around 0.15</output>
<gadget id="calculator">1 + (3/20)</gadget>
<output>23/20 = around 1.15</output>
<gadget id="calculator">575 / (23/20)</gadget>
<output>500</output>
<gadget id="calculator">12 / 100</gadget>
<output>3/25 = around 0.12</output>
<gadget id="calculator">(3/25) * 500</gadget>
<output>60</output>
<gadget id="calculator">500 + 60</gadget>
<output>560</output>
<result>C</result> | C | 560 | If Sharon's weekly salary increased by 15 percent, she would earn $575per week. If instead, her weekly salary were to decreased by 12 percent, how much would she earn per week? | {
"A": "rs . 540",
"B": "rs . 580",
"C": "rs . 560",
"D": "rs . 620",
"E": "rs . 650"
} | add(divide(575, add(const_1, divide(15, const_100))), multiply(divide(12, const_100), divide(575, add(const_1, divide(15, const_100))))) | divide(n0,const_100)|divide(n2,const_100)|add(#0,const_1)|divide(n1,#2)|multiply(#1,#3)|add(#3,#4)| | "soln : - ( 575 / 115 ) 112 = 560 in this case long division does not take much time . ( 23 / 5 ) = 4.6 4.6 * 112 = rs . 560 answer : c" | general |
math_qa__nbYFcQdQ0BtjJise | Of the land owned by a farmer, 90 percent was cleared for planting. Of the cleared land, 20 percent was planted with potato and 70 percent of the cleared land was planted with tomato. If the remaining 630 acres of cleared land was planted with corn, how many acres did the farmer own? Choose one.
A) 7000 B) 6800 C) 8000 D) 5400 E) 7100 | <gadget id="calculator">100 - 20</gadget>
<output>80</output>
<gadget id="calculator">80 - 70</gadget>
<output>10</output>
<gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">90 / 100</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">(1/10) * (9/10)</gadget>
<output>9/100 = around 0.09</output>
<gadget id="calculator">630 / (9/100)</gadget>
<output>7_000</output>
<result>A</result> | A | 7,000 | Of the land owned by a farmer, 90 percent was cleared for planting. Of the cleared land, 20 percent was planted with potato and 70 percent of the cleared land was planted with tomato. If the remaining 630 acres of cleared land was planted with corn, how many acres did the farmer own? | {
"A": "7000",
"B": "6800",
"C": "8000",
"D": "5400",
"E": "7100"
} | divide(630, multiply(divide(subtract(subtract(const_100, 20), 70), const_100), divide(90, const_100))) | divide(n0,const_100)|subtract(const_100,n1)|subtract(#1,n2)|divide(#2,const_100)|multiply(#3,#0)|divide(n3,#4)| | 20 % od 90 % = 18 % , 70 % 0 f 90 % = 63 % so the remaining 90 - 18 - 63 = 9 % = 630 acres or 10 % of 90 % = 9 % - - > 630 / 9 * 100 = 7000 acres answer ( a ) | gain |
math_qa__qWIPNA6wyROlWKEc | A, Band C can do a piece of work in 11 days, 20 days and 55 days respectively, working alone. How soon can the work be done if A is assisted by Band C on alternate days?
Answers: A) 7 days B) 8 days C) 9 days D) 10 days E) 11 days | <gadget id="calculator">55 / 11</gadget>
<output>5</output>
<gadget id="calculator">55 / 20</gadget>
<output>11/4 = around 2.75</output>
<gadget id="calculator">5 + (11/4)</gadget>
<output>31/4 = around 7.75</output>
<gadget id="calculator">55 / 55</gadget>
<output>1</output>
<gadget id="calculator">5 + 1</gadget>
<output>6</output>
<gadget id="calculator">(31/4) + 6</gadget>
<output>55/4 = around 13.75</output>
<gadget id="calculator">(55/4) / 2</gadget>
<output>55/8 = around 6.875</output>
<gadget id="calculator">55 / (55/8)</gadget>
<output>8</output>
<result>B</result> | B | 8 | A, Band C can do a piece of work in 11 days, 20 days and 55 days respectively, working alone. How soon can the work be done if A is assisted by Band C on alternate days? | {
"A": "7 days",
"B": "8 days",
"C": "9 days",
"D": "10 days",
"E": "11 days"
} | divide(55, divide(add(add(divide(55, 11), divide(55, 20)), add(divide(55, 11), divide(55, 55))), const_2)) | divide(n2,n0)|divide(n2,n1)|divide(n2,n2)|add(#0,#1)|add(#0,#2)|add(#3,#4)|divide(#5,const_2)|divide(n2,#6)| | "( a + b ) ' s 1 day ' s work = 1 / 11 + 1 / 20 = 31 / 220 ( a + c ) ' s 1 day ' s work = 1 / 11 + 1 / 55 = 6 / 55 work done in 2 day ' s = 31 / 220 + 6 / 55 = 55 / 220 = 1 / 4 1 / 4 th work done in 2 days work done = 4 * 2 = 8 days answer : b" | physics |
math_qa__os0fyKg4ZQ82zX3Q | A man buys 56 pens at marked price of 46 pens from a whole seller. If he sells these pens giving a discount of 1% , what is the profit percent? Select the correct option:
A) 7.6 % B) 7.7 % C) 20.52 % D) 23.62 % E) 27.82 % | <gadget id="calculator">100 - 1</gadget>
<output>99</output>
<gadget id="calculator">56 * 99</gadget>
<output>5_544</output>
<gadget id="calculator">46 * 100</gadget>
<output>4_600</output>
<gadget id="calculator">5_544 - 4_600</gadget>
<output>944</output>
<gadget id="calculator">944 / 4_600</gadget>
<output>118/575 = around 0.205217</output>
<gadget id="calculator">100 * (118/575)</gadget>
<output>472/23 = around 20.521739</output>
<result>C</result> | C | 20.52 | A man buys 56 pens at marked price of 46 pens from a whole seller. If he sells these pens giving a discount of 1% , what is the profit percent? | {
"A": "7.6 %",
"B": "7.7 %",
"C": "20.52 %",
"D": "23.62 %",
"E": "27.82 %"
} | multiply(const_100, divide(subtract(multiply(56, subtract(const_100, 1)), multiply(46, const_100)), multiply(46, const_100))) | multiply(n1,const_100)|subtract(const_100,n2)|multiply(n0,#1)|subtract(#2,#0)|divide(#3,#0)|multiply(#4,const_100)| | "explanation : let marked price be re . 1 each c . p . of 56 pens = rs . 46 s . p . of 56 pens = 99 % of rs . 56 = rs . 55.44 profit % = ( profit / c . p . ) x 100 profit % = ( 9.44 ) x 100 = 20.52 % answer : c" | gain |
math_qa__AowSacu2ntb3ZHMg | A train running at the speed of 58 km/hr crosses a pole in 9 seconds. Find the length of the train? Choose one: A) 145 B) 272 C) 278 D) 277 E) 112 | <gadget id="calculator">58 * 1_000</gadget>
<output>58_000</output>
<gadget id="calculator">58_000 / 3_600</gadget>
<output>145/9 = around 16.111111</output>
<gadget id="calculator">(145/9) * 9</gadget>
<output>145</output>
<result>A</result> | A | 145 | A train running at the speed of 58 km/hr crosses a pole in 9 seconds. Find the length of the train? | {
"A": "145",
"B": "272",
"C": "278",
"D": "277",
"E": "112"
} | multiply(divide(multiply(58, const_1000), const_3600), 9) | multiply(n0,const_1000)|divide(#0,const_3600)|multiply(n1,#1)| | "speed = 58 * ( 5 / 18 ) m / sec = 145 / 9 m / sec length of train ( distance ) = speed * time ( 145 / 9 ) * 9 = 145 meter answer : a" | physics |
math_qa__i8PbfIcNK6z6WGz0 | what is the least common multiple of 812 , 3214 Options
A) 672 B) 682 C) 328 D) 964 E) 285 | <gadget id="calculator">2 * 100</gadget>
<output>200</output>
<gadget id="calculator">812 - 200</gadget>
<output>612</output>
<gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">12 * 5</gadget>
<output>60</output>
<gadget id="calculator">612 + 60</gadget>
<output>672</output>
<result>A</result> | A | 672 | what is the least common multiple of 812 , 3214 | {
"A": "672",
"B": "682",
"C": "328",
"D": "964",
"E": "285"
} | add(subtract(812, multiply(const_2, const_100)), multiply(const_12, add(const_2, const_3))) | add(const_2,const_3)|multiply(const_100,const_2)|multiply(#0,const_12)|subtract(n0,#1)|add(#2,#3) | the given numbers are 8,12 , 32,14 thus the l . c . m is 2 * 2 * 2 * 1 * 3 * 4 * 7 = 672 the answer is a | general |
math_qa__Nw8UyJxnwO2dNlr6 | A train with a length of 100 meters, is traveling at a speed of 72 km/hr. The train enters a tunnel 1.1 km long. How many minutes does it take the train to pass through the tunnel from the moment the front enters to the moment the rear emerges? Choose the correct choice from the following choices
A) 1.0 B) 1.2 C) 1.4 D) 1.6 E) 1.8 | <gadget id="calculator">100 / 1_000</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1.1 + (1/10)</gadget>
<output>1.2</output>
<gadget id="calculator">1.2 / 72</gadget>
<output>0.016667</output>
<gadget id="calculator">0.016667 * 60</gadget>
<output>1.00002</output>
<result>A</result> | A | 1 | A train with a length of 100 meters, is traveling at a speed of 72 km/hr. The train enters a tunnel 1.1 km long. How many minutes does it take the train to pass through the tunnel from the moment the front enters to the moment the rear emerges? | {
"A": "1.0",
"B": "1.2",
"C": "1.4",
"D": "1.6",
"E": "1.8"
} | multiply(divide(add(1.1, divide(100, const_1000)), 72), const_60) | divide(n0,const_1000)|add(n2,#0)|divide(#1,n1)|multiply(#2,const_60)| | "72 km / hr = 1.2 km / min the total distance is 1.2 km . 1.2 / 1.2 = 1 minute the answer is a ." | physics |
math_qa__j9x9VtkUAUUN5hWK | The area of a square garden is Q square feet and the perimeter is P feet. If Q=2P+20, what is the perimeter of the garden in feet?
Choices
A) 32
B) 36
C) 40
D) 44
E) 48 | <gadget id="calculator">2 * 20</gadget>
<output>40</output>
<result>C</result> | C | 40 | The area of a square garden is Q square feet and the perimeter is P feet. If Q=2P+20, what is the perimeter of the garden in feet? | {
"A": "32",
"B": "36",
"C": "40",
"D": "44",
"E": "48"
} | multiply(const_2, 20) | multiply(n1,const_2) | let x be the length of one side of the square garden . x ^ 2 = 8 x + 20 x ^ 2 - 8 x - 20 = 0 ( x - 10 ) ( x + 2 ) = 0 x = 10 , - 2 p = 4 ( 10 ) = 40 the answer is c . | geometry |
math_qa__XAkjOF54RMXx3p1b | A student is ranked 13th from right and 8th from left. How many students are there in totality ? Choose the correct choice from the following
A) 18 B) 19 C) 20 D) 21 E) 22 | <gadget id="calculator">13 + 8</gadget>
<output>21</output>
<gadget id="calculator">21 - 1</gadget>
<output>20</output>
<result>C</result> | C | 20 | A student is ranked 13th from right and 8th from left. How many students are there in totality ? | {
"A": "18",
"B": "19",
"C": "20",
"D": "21",
"E": "22"
} | subtract(add(13, 8), const_1) | add(n0,n1)|subtract(#0,const_1) | from right 13 , from left 8 total = 13 + 8 - 1 = 20 answer : c | general |
math_qa__UqX7ktQJQ1WPSebg | How many gallons of milk that is 10 percent butter-fat must be added to 8 gallons of milk that is 30 percent butterfat to obtain milk that is 20 percent butterfat? Choose the correct choice from the following answers: A) 6 B) 8 C) 14 D) 16 E) 28 | <gadget id="calculator">30 - 20</gadget>
<output>10</output>
<gadget id="calculator">10 * 8</gadget>
<output>80</output>
<gadget id="calculator">80 / 10</gadget>
<output>8</output>
<result>B</result> | B | 8 | How many gallons of milk that is 10 percent butter-fat must be added to 8 gallons of milk that is 30 percent butterfat to obtain milk that is 20 percent butterfat? | {
"A": "6",
"B": "8",
"C": "14",
"D": "16",
"E": "28"
} | divide(multiply(subtract(30, 20), 8), 10) | subtract(n2,n3)|multiply(n1,#0)|divide(#1,n0)| | "equate the fat : 0.1 x + 0.30 * 8 = 0.2 ( x + 8 ) - - > x = 8 . answer : b ." | general |
math_qa__yzBD8Doc8zF6VVha | In traveling from a dormitory to a certain city, a student went 1/5 of the way by foot, 2/3 of the way by bus, and the remaining 14 kilometers by car. What is the distance, in kilometers, from the dormitory to the city? Choose the correct option:
A) 30 B) 45 C) 60 D) 90 E) 105 | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(1/5) + (2/3)</gadget>
<output>13/15 = around 0.866667</output>
<gadget id="calculator">1 - (13/15)</gadget>
<output>2/15 = around 0.133333</output>
<gadget id="calculator">1 / (2/15)</gadget>
<output>15/2 = around 7.5</output>
<gadget id="calculator">14 * (15/2)</gadget>
<output>105</output>
<result>E</result> | E | 105 | In traveling from a dormitory to a certain city, a student went 1/5 of the way by foot, 2/3 of the way by bus, and the remaining 14 kilometers by car. What is the distance, in kilometers, from the dormitory to the city? | {
"A": "30",
"B": "45",
"C": "60",
"D": "90",
"E": "105"
} | multiply(14, inverse(subtract(1, add(divide(1, 5), divide(2, 3))))) | divide(n0,n1)|divide(n2,n3)|add(#0,#1)|subtract(n0,#2)|inverse(#3)|multiply(n4,#4)| | "whole trip = distance by foot + distance by bus + distance by car x = 1 / 5 x + 2 / 3 x + 14 x - 13 / 15 x = 14 2 / 15 x = 14 = > so x = ( 15 / 2 ) * 14 = 105 km answer e" | physics |
math_qa__KPTCk3k3aA5PFG6E | A certain protective additive increases from 30 days to 60 days the time between required maintenance checks on an industrial vehicle. By what percent is the time between maintenance checks increased by using the additive?
Options: A) 25 % B) 33 1 / 3 % C) 100 % D) 66 2 / 3 % E) 75 % | <gadget id="calculator">60 - 30</gadget>
<output>30</output>
<gadget id="calculator">30 / 30</gadget>
<output>1</output>
<gadget id="calculator">1 * 100</gadget>
<output>100</output>
<result>C</result> | C | 100 | A certain protective additive increases from 30 days to 60 days the time between required maintenance checks on an industrial vehicle. By what percent is the time between maintenance checks increased by using the additive? | {
"A": "25 %",
"B": "33 1 / 3 %",
"C": "100 %",
"D": "66 2 / 3 %",
"E": "75 %"
} | multiply(divide(subtract(60, 30), 30), const_100) | subtract(n1,n0)|divide(#0,n0)|multiply(#1,const_100)| | "general formula for percent increase or decrease , ( percent change ) : percent = change / original ∗ 100 so , the time between maintenance checks increased by ( 60 − 30 ) / 30 ∗ 100 = 100 answer : c" | general |
math_qa__Wm8YaB7rLpkpcPSU | The present worth of Rs.1404 due in two equal half-yearly instalments at 8% per annum. Simple interest is: Select:
A) 1320 B) 1300 C) 1325 D) 120 E) none of these | <gadget id="calculator">1_404 / 2</gadget>
<output>702</output>
<gadget id="calculator">100 + 8</gadget>
<output>108</output>
<gadget id="calculator">108 / 100</gadget>
<output>27/25 = around 1.08</output>
<gadget id="calculator">702 / (27/25)</gadget>
<output>650</output>
<gadget id="calculator">8 / 2</gadget>
<output>4</output>
<gadget id="calculator">100 + 4</gadget>
<output>104</output>
<gadget id="calculator">104 / 100</gadget>
<output>26/25 = around 1.04</output>
<gadget id="calculator">702 / (26/25)</gadget>
<output>675</output>
<gadget id="calculator">650 + 675</gadget>
<output>1_325</output>
<result>C</result> | C | 1,325 | The present worth of Rs.1404 due in two equal half-yearly instalments at 8% per annum. Simple interest is: | {
"A": "1320",
"B": "1300",
"C": "1325",
"D": "120",
"E": "none of these"
} | add(divide(divide(1404, const_2), divide(add(const_100, 8), const_100)), divide(divide(1404, const_2), divide(add(const_100, divide(8, const_2)), const_100))) | add(n1,const_100)|divide(n0,const_2)|divide(n1,const_2)|add(#2,const_100)|divide(#0,const_100)|divide(#1,#4)|divide(#3,const_100)|divide(#1,#6)|add(#5,#7)| | "explanation : required sum = pw of rs . 702 due 6 months hence + pw of rs . 702 due 1 year hence = rs . [ 100 × 702 / 100 + ( 8 × 12 ) + 100 × 702 / 100 + ( 8 × 1 ) ] = rs . 1325 answer : c" | gain |
math_qa__9Kt64HrFvF6q9vwh | John bought a shirt on sale for 25% off the original price and another 25 % off the discounted price. If the final price was $19, what was the price before the first discount? Choose one
A) $ 45.10 B) $ 34.31 C) $ 28.44 D) $ 67.54 E) $ 33.77 | <gadget id="calculator">100 * 100</gadget>
<output>10_000</output>
<gadget id="calculator">10_000 * 19</gadget>
<output>190_000</output>
<gadget id="calculator">100 - 25</gadget>
<output>75</output>
<gadget id="calculator">75 * 100</gadget>
<output>7_500</output>
<gadget id="calculator">75 * 25</gadget>
<output>1_875</output>
<gadget id="calculator">7_500 - 1_875</gadget>
<output>5_625</output>
<gadget id="calculator">190_000 / 5_625</gadget>
<output>304/9 = around 33.777778</output>
<result>E</result> | E | 33.77 | John bought a shirt on sale for 25% off the original price and another 25 % off the discounted price. If the final price was $19, what was the price before the first discount? | {
"A": "$ 45.10",
"B": "$ 34.31",
"C": "$ 28.44",
"D": "$ 67.54",
"E": "$ 33.77"
} | divide(multiply(multiply(const_100, const_100), 19), subtract(multiply(subtract(const_100, 25), const_100), multiply(subtract(const_100, 25), 25))) | multiply(const_100,const_100)|subtract(const_100,n0)|multiply(n2,#0)|multiply(#1,const_100)|multiply(n0,#1)|subtract(#3,#4)|divide(#2,#5)| | "let x be the price before the first discount . the price after the first discount is x - 25 % x ( price after first discount ) a second discount of 25 % of the discounted price after which the final price is 19 ( x - 25 % x ) - 25 % ( x - 25 % x ) = 19 solve for x x = $ 33.77 correct answer e" | gain |
math_qa__mhgyjmXbkadXBq7w | A cab driver 5 days income was $600, $250, $450, $400 , $800. Then his average income is? Answers: A) $ 460 B) $ 480 C) $ 500 D) $ 520 E) $ 540 | <gadget id="calculator">600 + 250</gadget>
<output>850</output>
<gadget id="calculator">850 + 450</gadget>
<output>1_300</output>
<gadget id="calculator">1_300 + 400</gadget>
<output>1_700</output>
<gadget id="calculator">1_700 + 800</gadget>
<output>2_500</output>
<gadget id="calculator">2_500 / 5</gadget>
<output>500</output>
<result>C</result> | C | 500 | A cab driver 5 days income was $600, $250, $450, $400 , $800. Then his average income is? | {
"A": "$ 460",
"B": "$ 480",
"C": "$ 500",
"D": "$ 520",
"E": "$ 540"
} | divide(add(add(add(add(600, 250), 450), 400), 800), 5) | add(n1,n2)|add(n3,#0)|add(n4,#1)|add(n5,#2)|divide(#3,n0)| | "avg = sum of observations / number of observations avg income = ( 600 + 250 + 450 + 400 + 800 ) / 5 = 500 answer is c" | general |
math_qa__Ko0DAYa32ET3eIrV | Two trains of equal are running on parallel lines in the same direction at 52 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is? Choose the correct choice from the following options.
A) 50 m
B) 72 m
C) 80 m
D) 82 m
E) 84 m | <gadget id="calculator">52 - 36</gadget>
<output>16</output>
<gadget id="calculator">16 * 1_000</gadget>
<output>16_000</output>
<gadget id="calculator">16_000 / 3_600</gadget>
<output>40/9 = around 4.444444</output>
<gadget id="calculator">36 * (40/9)</gadget>
<output>160</output>
<gadget id="calculator">160 / 2</gadget>
<output>80</output>
<result>C</result> | C | 80 | Two trains of equal are running on parallel lines in the same direction at 52 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is? | {
"A": "50 m",
"B": "72 m",
"C": "80 m",
"D": "82 m",
"E": "84 m"
} | divide(multiply(36, divide(multiply(subtract(52, 36), const_1000), const_3600)), const_2) | subtract(n0,n1)|multiply(#0,const_1000)|divide(#1,const_3600)|multiply(n2,#2)|divide(#3,const_2)| | "let the length of each train be x m . then , distance covered = 2 x m . relative speed = 52 - 36 = 16 km / hr . = 16 * 5 / 18 = 40 / 9 m / sec . 2 x / 36 = 40 / 9 = > x = 80 . answer : c" | general |
math_qa__GgmVD41OtRPvg3ND | A volume of 11780 l water is in a container of sphere. How many hemisphere of volume 4l each will be required to transfer all the water into the small hemispheres? Choose the correct option
A) 2812
B) 8231
C) 2734
D) 4222
E) 2945 | <gadget id="calculator">11_780 / 4</gadget>
<output>2_945</output>
<result>E</result> | E | 2,945 | A volume of 11780 l water is in a container of sphere. How many hemisphere of volume 4l each will be required to transfer all the water into the small hemispheres? | {
"A": "2812",
"B": "8231",
"C": "2734",
"D": "4222",
"E": "2945"
} | divide(11780, 4) | divide(n0,n1)| | "a volume of 4 l can be kept in 1 hemisphere therefore , a volume of 11780 l can be kept in ( 11780 / 4 ) hemispheres ans . 2945 answer : e" | geometry |
math_qa__cfq580Xz44wwStg0 | When magnified 1,000 times by an electron microscope, the image of a certain circular piece of tissue has a diameter of 0.2 centimeter. The actual diameter of the tissue, in centimeters, is Select the correct option.
A) 0.005 B) 0.002 C) 0.001 D) 0.0005 E) 0.0002 | <gadget id="calculator">0.2 / 1_000</gadget>
<output>0.0002</output>
<result>E</result> | E | 0.0002 | When magnified 1,000 times by an electron microscope, the image of a certain circular piece of tissue has a diameter of 0.2 centimeter. The actual diameter of the tissue, in centimeters, is | {
"A": "0.005",
"B": "0.002",
"C": "0.001",
"D": "0.0005",
"E": "0.0002"
} | divide(0.2, 1,000) | divide(n1,n0)| | "it is very easy if x is the diameter , then the magnified length is 1000 x . ince 1000 x = 0.2 then x = 0.2 / 1000 = 0.0002 . the answer is e" | geometry |
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