id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00530977 | A project can be completed by team A in 12 days, team B in 10 days, and team C in 15 days. If three teams work together for 3 days, how much of the entire project is left unfinished. | <gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 / 15</gadget>
<output>1/15 = around 0.066667</output>
<gadget id="calculator">(1/12) + (1/10) + (1/15)</gadget>
<output>1/4 = around 0.2... | 1/4 | calc |
math_qa__7gswTxX3SggXmSV6 | Two MBA admissions committees are to be formed randomly from 6 second year MBAs with 3 members each. What is the probability V that Jane will be on the same committee as Albert? Pick one
A) 12 % B) 20 % C) 33 % D) 40 % E) 50 % | <gadget id="calculator">binomial(4, 1)</gadget>
<output>4</output>
<gadget id="calculator">4 * 2</gadget>
<output>8</output>
<gadget id="calculator">binomial(6, 3)</gadget>
<output>20</output>
<gadget id="calculator">8 / 20</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">5 * 5</gadget>
<output>25... | D | calc |
aqua_rat__0Oig688twSJgWLr0 | The sum of the interior angles of a polygon is twice the sum of its exterior angles. How many sides
does the polygon have? Choose the correct answer:
A) 4 sides B) 5 sides C) 6 sides D) 7 sides E) 8 sides | Sum of Interior angles of Polygon=180(n-2) Sum of Exterior angles of Polygon=360 so 180(n-2)=2*360 by solving we get ans=6 sides ANSWER:6 sides
<result>C</result> | C | calc |
ape210k__00553296 | National personal income tax regulations: Personal income tax should be paid on the part of personal monthly income exceeding 800 yuan. Of the excess, the part within 500 yuan (including 500 yuan) is paid at 5%, and the part between 500 yuan and 1500 yuan is paid at 10%. Xiaoming last month The monthly income of Xiaomi... | <gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">500 * (1/20)</gadget>
<output>25</output>
<gadget id="calculator">1_850 - 800 - 500</gadget>
<output>550</output>
<gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">... | 80 | calc |
ape210k__01217711 | A number is 68 less than 4 times 145, what is this number? | <gadget id="calculator">145 * 4</gadget>
<output>580</output>
<gadget id="calculator">580 - 68</gadget>
<output>512</output>
<result>512</result> | 512 | calc |
aqua_rat__YaWN0KciTDutROwz | If x = -6 and y = -3, what is the value of 4(x-y)^2 - xy ? Choose the correct choice from the following options: A) 20 B) 18 C) 17 D) 22 E) 23 | x = -6 and y = -3 x-y = -6 - (-3) = -6+3 = -3 x*y = -6 * -3=
<gadget id="calculator">-6 * -3</gadget>
<output>18</output>
18 Now we apply it in the equation 4(x-y)^2 - xy=4 (-3)^2-18 ==>4*9 -18 = 36-18=
<gadget id="calculator">36-18</gadget>
<output>18</output>
18 Answer : 18
<result>B</result> | B | calc |
aqua_rat__MkiGgXzdZLO18NcN | Rs.1170 is divided so that 4 times the first share, thrice the 2nd share and twice the third share amount to the same. What is the value of the third share? Choose one.
A) 338 B) 77 C) 298 D) 540 E) 882 | A+B+C = 1170 4A = 3B = 2C = x A:B:C = 1/4:1/3:1/2 = 3:4:6 6/13 * 1170 = Rs.540 Answer: 540
<result>D</result> | D | calc |
ape210k__00996193 | There are 24 boxes of apples in the store, each weighing 15 kilograms, and the price of each kilogram of apples is 6 yuan. How much can these apples be sold for in total? | <gadget id="calculator">15 * 24 * 6</gadget>
<output>2_160</output>
<result>2_160</result> | 2_160 | calc |
ape210k__00055950 | Xiao Ming's home is 3.5 kilometers away from school. Usually he always walks to school. One day he wants to exercise. He runs fast for the first (1/3) distance at 4 times his walking speed, and jogs for the rest of the distance at his walking speed. 2 times, so that he arrives at school 35 minutes earlier than usual, w... | <gadget id="calculator">24.5 / 7</gadget>
<output>3.5</output>
<result>3.5</result> | 3.5 | calc |
ape210k__00364339 | A bacterium is so prolific that it doubles in size every day. How many days will it take to multiply to 16,000 if the first day breeds 2,000 and the second day 4,000? | <result>4</result> | 4 | calc |
ape210k__00253587 | A wire surrounds a square with a side length of 6 cm, and there are 6 cm left, what is the length of the wire in cm? | <gadget id="calculator">6 * 4</gadget>
<output>24</output>
<gadget id="calculator">24 + 6</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
aqua_rat__d5Mx6xzBSnCoIAMr | A can do a piece of work in 4 hours; B and C together can do it in 3 hours, while A and C together can do it in 2 hours. How long will B alone take to do it? Choose the correct option.
A) 8 hours B) 10 hours C) 12 hours D) 24 hours E) 25 hours | Explanation: A's 1 hour's work =1/4 (B + C)'s 1 hour's work =1/3 (A + C)'s 1 hour's work =1/2 (A + B + C)'s 1 hour's work =1/4 +1/3=7/12 B's 1 hour's work =7/12-1/2=1/12 B alone will take 12 hours to do the work. ANSWER IS 12 hours
<result>C</result> | C | calc |
ape210k__00041212 | The sum of the two numbers of A and B is 8.5. If the decimal point of A is moved to the right, it is exactly equal to 7 times of B. What is the number B. | <gadget id="calculator">10 / 7</gadget>
<output>10/7 = around 1.428571</output>
<gadget id="calculator">1 + (10/7)</gadget>
<output>17/7 = around 2.428571</output>
<gadget id="calculator">8.5 / (17/7)</gadget>
<output>3.5</output>
<gadget id="calculator">3.5 * (10/7)</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
ape210k__00180869 | A rectangle with a length of 15 cm and a perimeter of 50 cm is its width in cm. | <gadget id="calculator">50 / 2</gadget>
<output>25</output>
<gadget id="calculator">25 - 15</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__00829393 | top is 60 yuan, and the money from the little red belt can just buy 15 tops or 9 dresses. How much is each dress? | <gadget id="calculator">15 / 9</gadget>
<output>5/3 = around 1.666667</output>
<gadget id="calculator">60 * (5/3)</gadget>
<output>100</output>
<result>100</result> | 100 | calc |
ape210k__00071567 | What is the quotient of the sum of 2 36 divided by the product of 2 36? | <gadget id="calculator">36 * 36</gadget>
<output>1_296</output>
<gadget id="calculator">36 * 2</gadget>
<output>72</output>
<gadget id="calculator">1_296 / 72</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
math_qa__yLwrIvUwqko49Nxm | A man can row 8 Kmph in still water. If the velocity of the current is 2 Kmph and it takes him 2 hours to row to a place and come back. How far is the place?
Choose the correct choice from the following options: A) 5.5 B) 8.5 C) 6.5 D) 9.5 E) 7.5 | <gadget id="calculator">8 - 2</gadget>
<output>6</output>
<gadget id="calculator">8 + 2</gadget>
<output>10</output>
<gadget id="calculator">6 * 10</gadget>
<output>60</output>
<gadget id="calculator">60 * 2</gadget>
<output>120</output>
<gadget id="calculator">10 + 6</gadget>
<output>16</output>
<gadget id="calcu... | E | calc |
aqua_rat__3XkZQq4vx3t8raHU | Tom opened a shop investing Rs.30000. Jose joined him 2 months later, investing Rs.45000. They earned a profit of Rs.54000 after completion of one year. What will be Jose's share of profit? Choose the correct choice from the following answers.
A) 20000 B) 22000 C) 24000 D) 25000 E) 30000 | SoL = ~s- So Anju’s share = [5/9] x 54000 = 30000 30000
<result>E</result> | E | calc |
ape210k__00106435 | The product of two factors is (25/72), one of which is (3/5), find the other factor. How much is the column. | <gadget id="calculator">25 / 72</gadget>
<output>25/72 = around 0.347222</output>
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">(25/72) / (3/5)</gadget>
<output>125/216 = around 0.578704</output>
<result>125/216 = around 0.578704</result> | 125/216 | calc |
ape210k__00482197 | The least common multiple of three different prime numbers is 182. What is the sum of these three prime numbers? | <gadget id="calculator">2 + 13 + 7</gadget>
<output>22</output>
<result>22</result> | 22 | calc |
ape210k__00628236 | Cars A and B are traveling toward each other at the same time from two places 750 kilometers apart. Car A travels 70 kilometers per hour, and car B travels 80 kilometers per hour. How far is car A from the starting point of car B? ? | <gadget id="calculator">70 + 80</gadget>
<output>150</output>
<gadget id="calculator">750 / 150</gadget>
<output>5</output>
<gadget id="calculator">5 * 80</gadget>
<output>400</output>
<result>400</result> | 400 | calc |
aqua_rat__8jmIDmv8zAYBqTmo | A person X working alone can complete a work in 6 days. A person Y completes the same amount of work in 10 days, and a person Z when working alone can complete the same amount of work in 30 days. All three people work together for 2 days but then X and Y leave. How many more days does Z need to complete the work after ... | The fraction of work completed in two days is 2/6 + 2/10 + 2/30 = 18/30 The fraction of work remaining is 1 - 18/30 = 12/30 The number of days required for Z is 12 days. The answer is 12.
<result>D</result> | D | calc |
ape210k__00340453 | After adding m to the numerator and denominator of the fraction (29/5), it becomes the simplest fraction (19/7), then what is m | <result>9</result> | 9 | calc |
aqua_rat__8PcYF1jjqwJjxPM4 | If (10^86) – 23 is written as a base 10 integer, which of the following options is the sum of the digits in that integer? Answers
A) 780 B) 775 C) 790 D) 730 E) 770 | We know that (10^86) is ending 00, so (10^86) – 23=9....9977 total number of digits in (10^86) – 23 is 86, or 84 digits of 9 and two digits 7 and 7. answer choice is 84*9+14=
<gadget id="calculator"> 84*9+14</gadget>
<output>770</output>
770 Answer is 770 770
<result>E</result> | E | calc |
aqua_rat__PeB25AnoUY5xRvtJ | 15 men take 21 days of 8 hrs. each to do a piece of work. How many days of 3 hrs. each would it take for 21 women if 3 women do as much work as 2 men? Choose the correct option
A) 60 B) 20 C) 19 D) 29 E) 39 | Let 1Man does 1unit/hr of work 15M in 21 days of 8hrs will do (15*21*8) units 3W = 2M 1W=(2/3)units/hr 21W with 3hrs a day will take (15*21*8)/(21*3*(2/3))=
<gadget id="calculator"> (15*21*8)/(21*3*(2/3))</gadget>
<output>60</output>
> 60 Days 60NSWER:60
<result>A</result> | A | calc |
ape210k__00392225 | Half of x equals 218. | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">218 / (1/2)</gadget>
<output>436</output>
<result>436</result> | 436 | calc |
aqua_rat__vbwrnq8jIIwfx3Ic | A can do a certain job in 25 days which B alone can do in 20 days. A started the work and was joined
by B after 10 days. The number of days taken in completing the wotk were ? Choose the correct choice from the following answers
A) 1423kmph B) 1523kmph C) 1623kmph D) 1723kmph E) None of these | Explanation: Work done by A in l0 days = (1/25) *10 = 2/5 Remaining work = 1 - (2/5) = 3/5 (A+B)s 1 days work = (1/25) + (1/20) = 9/100 9/100 work is done by them in 1 day hence 3/5 work will be done by them in (3/5)*(100/9) = 20/3days. Total time taken = (10 + 20/3) = 16*(2/3) days Answer: 1623kmph
<re... | C | calc |
ape210k__00101010 | An engineering team wants to build a road with a length of 4340 meters, and 1860 meters have been built in the first 6 months. According to this progress, how many months will it take to complete the task? | <gadget id="calculator">4_340 - 1_860</gadget>
<output>2_480</output>
<gadget id="calculator">1_860 / 6</gadget>
<output>310</output>
<gadget id="calculator">2_480 / 310</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
aqua_rat__FIirkFr7PiqcntA5 | Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get? Choose the correct option: A) 56% B) 57% C) 54% D) 53% E) 52% | Total number of votes polled = (1136 + 7636 + 11628)=
<gadget id="calculator">(1136 + 7636 + 11628)</gadget>
<output>20_400</output>
20400. Required percentage= (11628/20400 * 100)=
<gadget id="calculator">(11628/20400 * 100)</gadget>
<output>57</output>
57% Answer 57%)57%.
<result>B</result> | B | calc |
ape210k__00586684 | Calculation: ((1/10)+(5/6))*((3/4)-(1/6)). | <gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">(1/10) + (5/6)</gadget>
<output>14/15 = around 0.933333</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
... | 49/90 | calc |
ape210k__00565106 | A ring has an inner circumference of 6.28 decimeters and an outer diameter of 4 decimeters. What is the area of the ring in square decimeters? | <gadget id="calculator">4 / 2</gadget>
<output>2</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">6.28 / 3.14 / 2</gadget>
<output>1</output>
<gadget id="calculator">1 ** 2</gadget>
<output>1</output>
<gadget id="calculator">4 - 1</gadget>
<output>3</output>
<gadget id="c... | 9.42 | calc |
aqua_rat__nqYvlxKqUukqJWp1 | If the Average (mean ) of 3 positive temperatures is x degrees fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be
Answers.
A) 6x B) 3x C) 5x/3 D) 3x/2 E) 3x/5 | Let the 5 numbers be 1,2,3,4(since no restrictions are given). There mean is 2.5 (x). Now the sum of greatest three would be 2+3+4=
<gadget id="calculator">2+3+4</gadget>
<output>9</output>
9 so the answer has to be 3x....that is option 3x
<result>B</result> | B | calc |
ape210k__00703031 | If the radius of a circle is increased by 6 times, its area will be increased by how many times its original area | <gadget id="calculator">6 ** 2</gadget>
<output>36</output>
<result>36</result> | 36 | calc |
math_qa__LDKoZgU6BKhkxBQT | The length of a rectangular field is 7/5 its width. If the perimeter of the field is 432 meters, what is the width of the field? Pick one
A) 50 B) 60 C) 70 D) 80 E) 90 | <gadget id="calculator">7 / 5</gadget>
<output>7/5 = around 1.4</output>
<gadget id="calculator">(7/5) + (7/5)</gadget>
<output>14/5 = around 2.8</output>
<gadget id="calculator">(14/5) + 2</gadget>
<output>24/5 = around 4.8</output>
<gadget id="calculator">432 / (24/5)</gadget>
<output>90</output>
<result>E</resul... | E | calc |
ape210k__00125933 | To make a cube glass fish tank without a cover, the side length is 5 decimeters, how many square decimeters of glass should be used to make this fish tank? | <gadget id="calculator">5 * 5</gadget>
<output>25</output>
<gadget id="calculator">5 * 25</gadget>
<output>125</output>
<result>125</result> | 125 | calc |
gsm8k__y1F8QGz7Vkof4rWs | Isabella has three times as many green houses as yellow houses. She also has 40 fewer yellow houses than red houses. If she has 90 green houses, how many of her houses are not yellow? | If the number of green houses is three times the number of yellow houses, and there are 90 green houses, then there are 90/3 = 30 yellow houses.
She also has 40 fewer yellow houses than blue houses, meaning there are 30+40 =
<gadget id="calculator">30+40</gadget>
<output>70</output>
70 blue houses.
The number of house... | 160 | calc |
aqua_rat__aaYeQRC307PtlzA2 | A sports equipment store sold ping pong rackets for a total of $637. If the average (arithmetic mean) price of a pair of rackets is $9.8, how many pairs were sold? Choose the correct choice from the following answers: A) 50 B) 100 C) 65 D) 500 E) 980 | Average price for a pair of rackets = $9.8 Total cost = $9.8*x = $637 x = 65 pairs were sold. ANSWER:65
<result>C</result> | C | calc |
ape210k__00623305 | square steel is 1.5 meters long, and its cross section is a square with a side length of 4 cm. It is known that the mass of square steel per cubic decimeter is 7.8 kg. What is the mass of this square steel in kilograms? | <gadget id="calculator">4 / 10</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1.5 * 10</gadget>
<output>15</output>
<gadget id="calculator">(2/5) * (2/5) * 15 * 7.8</gadget>
<output>18.72</output>
<result>18.72</result> | 18.72 | calc |
aqua_rat__AfHwsuXizXD8fZzT | Express of the following as a fraction:
36% Choose the correct choice from the following: A) 14/25 B) 13/25 C) 9/25 D) 17/25 E) None of them | 36% = 36/100= 9/25. Answer is 9/25.
<result>C</result> | C | calc |
ape210k__00005254 | Calculation: 999*999+1999=how much. | <gadget id="calculator">999 * 999</gadget>
<output>998_001</output>
<gadget id="calculator">998_001 + 1_999</gadget>
<output>1_000_000</output>
<result>1_000_000</result> | 1_000_000 | calc |
ape210k__00062965 | Teacher Wang took the train from Beijing Station to Guangzhou. After 10:00, the train traveled the whole distance (5/11). How long does it take from Beijing to Guangzhou? | <gadget id="calculator">5 / 11</gadget>
<output>5/11 = around 0.454545</output>
<gadget id="calculator">(5/11) / 10</gadget>
<output>1/22 = around 0.045455</output>
<gadget id="calculator">1 / (1/22)</gadget>
<output>22</output>
<result>22</result> | 22 | calc |
aqua_rat__ew5vUsQXuETUJthx | There is a sequence ni such, in which i is a positive integer, ni+1=2ni.
If n1=1, n2=2, n3=4, n4=8, what is the scope including n51? Choose the correct choice from the following: A) 100~1,000 B) 1,000~10,000 C) 10,000~100,000 D) 100,000~1,000,000 E) 1,000,000,000,000,000~ | -> ni=2^(i-1) -> 2^10=1,024>1,000=10^3 -> n51=2^50=(2^10)^5>(10^3)^5=10^15 Thus, the answer is 1,000,000,000,000,000~.
<result>E</result> | E | calc |
ape210k__00037739 | A cuboid fish tank with a length of 12.56 decimeters, a width of 5 decimeters and a height of 4 decimeters is filled with water. If the water is poured into a cylindrical fish tank with a bottom area of 125.6 decimeters, how high can it be poured? | <gadget id="calculator">12.56 * 5 * 4</gadget>
<output>251.2</output>
<gadget id="calculator">251.2 / 125.6</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
ape210k__00100564 | Add 5 liters of pure water to 1960 ml of concentrated fruit juice to make a fruit juice drink, and distribute it to 12 students on average. How many milliliters of drinks can each person get at most? | <gadget id="calculator">5 * 1_000</gadget>
<output>5_000</output>
<gadget id="calculator">1_960 + 5_000</gadget>
<output>6_960</output>
<gadget id="calculator">6_960 / 12</gadget>
<output>580</output>
<result>580</result> | 580 | calc |
ape210k__00301937 | What is the result of dividing the quotient of (4/7) by (4/15) and multiplying by (2/3)? | <gadget id="calculator">4 / 15</gadget>
<output>4/15 = around 0.266667</output>
<gadget id="calculator">4 / 7</gadget>
<output>4/7 = around 0.571429</output>
<gadget id="calculator">(4/15) / (4/7)</gadget>
<output>7/15 = around 0.466667</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</o... | 14/45 | calc |
aqua_rat__rjE1ADaV9tM58TIT | A certain tax rate is $.82 per $100.00. What is the rate, expressed as a percent? Choose the correct choice
A) 82% B) 8.2% C) 0.82% D) 0.082% E) 0.0082% | Here in question it is asking $.82 is what percent of $ 100.Suppose $ .82 is x% of 100 means 100* (x/100) = .82 Hence x = .82 % So answer is 0.82%.
<result>C</result> | C | calc |
aqua_rat__irmIhoCJNYrl4FJh | What will be the compound interest on a sum of Rs. 28,000 after 3 years at the rate of 12% p.a.?
Choose the most appropriate option.
A) s.10123.77 B) s.10123.21 C) s.10123.20 D) s.10123.28 E) s.11337.98 | Amount = [28000 * (1 + 12/100)3] = 28000 * 28/25 * 28/25 * 28/25 = Rs. 39337.984 C.I. = (39337.984 - 28000) = Rs. 11337.98 Answer:s.11337.98
<result>E</result> | E | calc |
aqua_rat__y3WncwTYaj0G1GJG | How many four-digit integers exist such that all their digits are even? Select: A) 80 B) 100 C) 120 D) 125 E) 500 | 0 is also an even integer so last digit can be filled in 5 ways- 0,2,4,6,8 for both second and third digit there are 5 possibilities- 5 X 5 X 5 X 5 = 625 _______________ The first digit can be any of the four: 2, 4, 6, or 8. For both second, third and four digits, there are 5 possibilities. The answer is 4∗5∗... | E | calc |
ape210k__00058151 | Pour 5 cups of water into a bucket, and the weight of the bucket is 3 kg. Pour 8 cups of water, and the weight of the bucket is 4 kg, 200 grams. How much does the bucket weigh? | <gadget id="calculator">4.2 - 3</gadget>
<output>1.2</output>
<gadget id="calculator">8 - 5</gadget>
<output>3</output>
<gadget id="calculator">1.2 / 3</gadget>
<output>0.4</output>
<gadget id="calculator">0.4 * 5</gadget>
<output>2</output>
<gadget id="calculator">3 - 2</gadget>
<output>1</output>
<result>1</resu... | 1 | calc |
ape210k__00989615 | The number of the school's track and field team is the chorus team (3/4), and the number of the dance team is the track and field team (2/5). The school dance team has 24 people. How many people are there in the school chorus? Column: how much. | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">24 / (2/5) / (3/4)</gadget>
<output>80</output>
<result>80</result> | 80 | calc |
ape210k__00040787 | Randomly check the quality of a certain brand of TV sets, spot check 50 sets, and 49 sets are qualified. What is the pass rate of this brand of TV sets? | <gadget id="calculator">49 / 50</gadget>
<output>49/50 = around 0.98</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(49/50) * 1</gadget>
<output>49/50 = around 0.98</output>
<result>49/50 = around 0.98</result> | 49/50 | calc |
ape210k__00072112 | Xiaoyue and Archie lowered the military flag in a competition. The two are of equal level. The two agree to match 7 rounds, and the first to win 4 rounds wins. There have been 3 rounds of competition, Xiaoyue has won 2 rounds, and Archie has won 1 round. May I ask: What is the probability that Xiaoyue will win in the e... | <gadget id="calculator">4 - 2</gadget>
<output>2</output>
<gadget id="calculator">7 - 3</gadget>
<output>4</output>
<gadget id="calculator">2 / 4</gadget>
<output>1/2 = around 0.5</output>
<result>1/2 = around 0.5</result> | 1/2 | calc |
ape210k__00289760 | What is the quotient of (5/6) of 18 divided by 12 times of (1/4)? | <gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">18 * (5/6)</gadget>
<output>15</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/4) * 12</gadget>
<output>3</output>
<gadget id="calculator">15 / 3</gadge... | 5 | calc |
ape210k__00163633 | Uncle Li has contracted a circular pond with a circumference of 314 meters to raise fish. It is estimated that this year the pond will produce an average of 2 kilograms of fish per square meter. How many kilograms of fish is expected to be produced in this pond this year? | <gadget id="calculator">314 / 3.14 / 2</gadget>
<output>50</output>
<gadget id="calculator">50 ** 2</gadget>
<output>2_500</output>
<gadget id="calculator">3.14 * 2_500</gadget>
<output>7_850</output>
<gadget id="calculator">7_850 * 2</gadget>
<output>15_700</output>
<result>15_700</result> | 15_700 | calc |
ape210k__00444534 | Lili and her elder sister kicked shuttlecocks. The elder sister kicked 74 shuttlecocks in total. Lili kicked 23 for the first time, and 19 for the second time. What is the minimum number of shuttlecocks Lili must kick for the third time to surpass her elder sister? | <gadget id="calculator">23 + 19</gadget>
<output>42</output>
<gadget id="calculator">74 - 42</gadget>
<output>32</output>
<gadget id="calculator">32 + 1</gadget>
<output>33</output>
<result>33</result> | 33 | calc |
aqua_rat__hY23kBJjmXOYb9Vy | An urn contains 5 red, 6 blue and 8 green balls. 4 balls are randomly selected from the urn, find the probability that the drawn ball are 1 blue and 2 red and 1 green balls ?
Answers: A) 20/323 B) 40/323 C) 60/273 D) 50/373 E) 40/373 | Sample space = no. of ways 4 balls were drawn from urn = 19C4 = 3876 No. ways 1 blue and 2 red and 1 green balls were drawn from bag = 6C1 * 5C2 * 8C1 = 480 Probability = 480 / 3876 = 40/323 Ans - 40/323
<result>B</result> | B | calc |
ape210k__00139012 | Add some water to the salt water containing 60% salt and turn it into salt water containing 30% salt. At this time, the weight of the salt water is 300 grams. How many grams of salt water are there? | <gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">60 / 100</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">(3/10) / (3/5)</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">300 * (1/2)</gadget>
<output>150</output>
<result>150</re... | 150 | calc |
ape210k__00361329 | Uncle Zhang’s salary in May is 5,500 yuan, plus a bonus of 2,100 yuan. After deducting 3,500 yuan from the sum of wages and bonuses, the remaining part that does not exceed 1,500 yuan is taxed at 3%, and the part that exceeds 1,500 yuan and does not exceed 4,500 yuan is taxed at 10. % to pay personal income tax, can yo... | <gadget id="calculator">3 / 100</gadget>
<output>3/100 = around 0.03</output>
<gadget id="calculator">1_500 * (3/100)</gadget>
<output>45</output>
<gadget id="calculator">2_100 - 3_500 - 1_500</gadget>
<output>-2_900</output>
<gadget id="calculator">5_500 + (-2_900)</gadget>
<output>2_600</output>
<gadget id="calcu... | 305 | calc |
aqua_rat__4PcqC8IQNOXeqFnL | The length of the bridge, which a train 150 metres long and travelling at 45 km/hr can cross in 30 seconds, is? Choose one.
A) 76 m
B) 178 m
C) 225 m
D) 187 m
E) 176 m | Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (150 + x)/30 = 25/2 => 2(150 + x)= 750 => x = 225 m. Answer: 225 m
<result>C</result> | C | calc |
ape210k__00420474 | The road repair team built 2,400 meters of road this year, which is 1/5 less than last year. How many meters was built last year? | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">2_400 / (4/5)</gadget>
<output>3_000</output>
<result>3_000</result> | 3_000 | calc |
ape210k__00178267 | The sum of the ages of the father and daughter this year is 44 years old. After 10 years, the age of the father is three times that of the daughter. How old is the daughter this year? | <gadget id="calculator">10 * 2</gadget>
<output>20</output>
<gadget id="calculator">44 + 20</gadget>
<output>64</output>
<gadget id="calculator">3 + 1</gadget>
<output>4</output>
<gadget id="calculator">64 / 4</gadget>
<output>16</output>
<gadget id="calculator">16 - 10</gadget>
<output>6</output>
<result>6</resul... | 6 | calc |
aqua_rat__ienEvZyHWN8qQ4ej | If 40% of a certain number is 160, then what is 90% of that number? Choose the correct choice from the following answers.
A) 270
B) 380
C) 260
D) 360
E) 290 | Explanation: 40% = 40*4=
<gadget id="calculator">40*4</gadget>
<output>160</output>
160 90%= 90*4=
<gadget id="calculator">90*4</gadget>
<output>360</output>
360 Answer: Option 360
<result>D</result> | D | calc |
ape210k__00564461 | The floor of the school conference is 200 decimeters long and 96 decimeters wide. How many square meters of carpets are needed to lay carpets on the ground? | <gadget id="calculator">96 / 100</gadget>
<output>24/25 = around 0.96</output>
<gadget id="calculator">200 * (24/25)</gadget>
<output>192</output>
<result>192</result> | 192 | calc |
ape210k__00333565 | A rectangular lawn is 5 meters long and 4 meters wide. What is the perimeter of this rectangular lawn? | <gadget id="calculator">5 + 4</gadget>
<output>9</output>
<gadget id="calculator">9 * 2</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
ape210k__00198485 | One rope is as long as the other (4/5), and the other is longer than the other by how much. | <gadget id="calculator">5 - 4</gadget>
<output>1</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<result>1/4 = around 0.25</result> | 1/4 | calc |
ape210k__00337709 | Xiaoming’s house used 80 degrees of electricity in October, which is 20 degrees less than the previous month. How much is the electricity saved compared with the previous month? | <gadget id="calculator">80 + 20</gadget>
<output>100</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<result>1/5 = around 0.2</result> | 1/5 | calc |
aqua_rat__HeuVdDHOxV6hUfG7 | In a certain game, a player begins with a bag containing tiles numbered 1 through 9, each of which has an equal probability of being selected. The player draws one tile. If the tile is even, the player stops. If not, the player draws another tile without replacing the first. If this second tile is even, the player stop... | player begins with containing tiles 1 to 10 and have equal probability of selecting means Proabability of selecting one number =1/10. here 5 even numbers and 5 odd numbers are there. Next , player draws one title , if number is even player stops or otherwise title is odd without replacement player draws second ti... | D | calc |
ape210k__00162297 | There are 2 yellow balls, 2 red balls and 2 basketballs in a sealed bag. If you draw a ball from the bag at random, what is the probability of getting a red ball? | <gadget id="calculator">2 + 2 + 2</gadget>
<output>6</output>
<gadget id="calculator">2 / 6</gadget>
<output>1/3 = around 0.333333</output>
<result>1/3 = around 0.333333</result> | 1/3 | calc |
ape210k__00430697 | classroom is 10 meters long, 6 meters wide, and 4 meters high. It is necessary to paint the ceiling and surrounding walls of the auditorium. Excluding the door and window area of 20 square meters, an average of 0.5 kilograms of paint is used per square meter. How many kilograms of paint are needed in total? | <gadget id="calculator">10 * 6</gadget>
<output>60</output>
<gadget id="calculator">10 * 4</gadget>
<output>40</output>
<gadget id="calculator">6 * 4</gadget>
<output>24</output>
<gadget id="calculator">40 + 24</gadget>
<output>64</output>
<gadget id="calculator">64 * 2</gadget>
<output>128</output>
<gadget id="ca... | 84 | calc |
gsm8k__eDnWNgDwZvkwEhZR | Mandy is 3 years old. Her brother is 4 times as old as she is. Her sister is 5 years younger than her brother. What is the age difference between Mandy and her sister? | Mandy's brother's age is 3 years x 4 =
<gadget id="calculator">3*4</gadget>
<output>12</output>
12 years old.
Her sister's age is 12 years - 5 years =
<gadget id="calculator">12-5</gadget>
<output>7</output>
7 years old.
The age difference between Mandy and her sister is 7 years - 3 years =
<gadget id="calculator">7... | 4 | calc |
ape210k__00358890 | Xiao Ming reads a 160-page story book. He reads 1/8 of the whole book on the first day and 15% of the whole book on the second day. How many pages are left? | <gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">15 / 100</gadget>
<output>3/20 = around 0.15</output>
<gadget id="calculator">(1/8) + (3/20)</gadget>
<output>11/40 = around 0.275</output>
<gadget id="calculator">1 - (11/40)</gadget>
<output>29/40 = around 0.725</out... | 116 | calc |
ape210k__00342053 | Fill in the number in "□" of "3□7□" so that it becomes the largest four-digit number that is divisible by 2, 3, and 5 at the same time. What is the four-digit number? | <result>3_870</result> | 3_870 | calc |
ape210k__00073826 | There are 60 willows in the campus, the number of poplars is (2/3) of willows, and (4/5) of pagoda trees. How many pagoda trees are there on campus? | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(2/3) / (4/5)</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">60 * (5/6)</gadget>
<output>50</output>
<result>50</res... | 50 | calc |
ape210k__00063328 | How many are there in 344 8． | <gadget id="calculator">344 / 8</gadget>
<output>43</output>
<result>43</result> | 43 | calc |
ape210k__00913831 | Two engineering teams, A and B, work together to repair a section of road. Team A repairs 105 meters a day, and team B repairs 95 meters a day. The repairs are completed in 11 days. How many meters is this road? | <gadget id="calculator">105 + 95</gadget>
<output>200</output>
<gadget id="calculator">200 * 11</gadget>
<output>2_200</output>
<result>2_200</result> | 2_200 | calc |
ape210k__00541932 | A conical pile of wheat is 1.5 meters high and the circumference of the base is 18.84 meters. If each cubic meter of wheat weighs 750 kilograms, how many kilograms does the pile of wheat weigh? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">18.84 / 3.14 / 2</gadget>
<output>3</output>
<gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">(1/3) * 3.14 * 9 * 1.5 * 750</gadget>
<output>10_597.5</output>
<result>10_597.5</resu... | 10_597.5 | calc |
aqua_rat__DFxyI0YidKo0qKC4 | 100 is increased by 50%. Find the final number.
Answers: A) 100 B) 110 C) 150 D) 155 E) 160 | Final number = Initial number + 50%(original number) = 100 + 50%(100) = 100 + 50=
<gadget id="calculator">100 + 50</gadget>
<output>150</output>
150. Answer 150
<result>C</result> | C | calc |
ape210k__00055827 | The school purchased 85 sets of tables and chairs. 57 yuan per table, 23 yuan per chair. How much did the school purchase these desks and chairs? | <gadget id="calculator">57 + 23</gadget>
<output>80</output>
<gadget id="calculator">80 * 85</gadget>
<output>6_800</output>
<result>6_800</result> | 6_800 | calc |
math_qa__XaJV5pKGzBcXrFyg | Milk contains 5% water. What content of pure milk should be added to 10 liters of milk to reduce this to 2%? Select the correct option: A) 10 liters B) 15 liters C) 20 liters D) 18 liters E) 22 liters | <gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">(1/20) * 10</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">2 / 100</gadget>
<output>1/50 = around 0.02</output>
<gadget id="calculator">(1/2) / (1/50)</gadget>
<output>25</output>
<gadget id="cal... | B | calc |
ape210k__00150602 | Xiaohong knotted 10 ropes to form a long rope. How many knots are there on this long rope? | <gadget id="calculator">10 - 1</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
ape210k__00111793 | What is the number composed of 30 1s and 3 thousandths? | <gadget id="calculator">3 / 1_000</gadget>
<output>3/1_000 = around 0.003</output>
<gadget id="calculator">30 + (3/1_000)</gadget>
<output>30_003/1_000 = around 30.003</output>
<result>30_003/1_000 = around 30.003</result> | 30_003/1_000 | calc |
aqua_rat__vyKKwLHZfvysaqTa | An meeting has 6 employees; there are 5 female employees and 1 male employee. In how many ways can a 3-person committee be created if the committee must include the male employee?
Choose the correct choice from the following answers
A) 10 B) 12 C) 15 D) 24 E) 30 | An meeting has 6 employees;for male 1C1 = 1 ........ 10 foe female = 5C2 = 10.........B total = 10*1=
<gadget id="calculator">10*1</gadget>
<output>10</output>
10 - answer=10
<result>A</result> | A | calc |
ape210k__00344651 | The number ratio of the two track and field sports teams of the school is 4:3. If 5 players are transferred from the first team to the second team, the numbers of the two teams are equal. How many people were there in the first team? | <gadget id="calculator">4 + 3</gadget>
<output>7</output>
<gadget id="calculator">4 / 7</gadget>
<output>4/7 = around 0.571429</output>
<gadget id="calculator">3 / 7</gadget>
<output>3/7 = around 0.428571</output>
<gadget id="calculator">(4/7) - (3/7)</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calc... | 40 | calc |
ape210k__00635219 | Iron block A weighs (5/6) tons, which is equivalent to (5/12) that of block B. The weight of C iron block is (1/2) of B iron block, how many tons of C iron block? | <gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">5 / 12</gadget>
<output>5/12 = around 0.416667</output>
<gadget id="calculator">(5/6) / (5/12)</gadget>
<output>2</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calcul... | 1 | calc |
ape210k__01136461 | Li Ming reads a book. He reads (1/5) of the whole book on the first day, and reads 39 pages on the second day. At this time, he reads exactly half of the book. How many pages does this book have? | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/2) - (1/5)</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">39 / (3/10)</gadget>
<output>130</output>
<result>130</result> | 130 | calc |
aqua_rat__E6HBiTKEHSfls0lV | A man sells two articles for Rs.3300 each and he gains 21% on the first and loses 21% on the next. Find his total gain or loss? Choose the correct choice.
A) 9%loss B) 2%loss C) 7%loss D) 8%loss E) 4%loss | 4%lossxplanation: (21*21)/100 = 4%loss Answer:4%loss
<result>E</result> | E | calc |
aqua_rat__dlNHY8bRVlAW7Cc8 | The price of a T.V. set worth Rs. 20000 is to be paid in 20 installments of Rs. 1000 each. If the rate of interest be 6% per annum, and the first installment be paid at the time of purchase, then the value of the last installment covering the interest as well will be? Choose the most appropriate option:
A) A)19009
B) B... | Explanation: Money paid in cash = Rs. 1000 Balance payment = (20000 - 1000) = Rs. 19000 Answer: Option 19000
<result>D</result> | D | calc |
math_qa__K8xDqlQJA6vI1ikw | A rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. If the area of the field is 60 sq. feet, how many feet of fencing will be required? Choose the correct choice from the following choices.
A) 34 B) 40 C) 68 D) 88 E) 26 | <gadget id="calculator">60 / 20</gadget>
<output>3</output>
<gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">6 + 20</gadget>
<output>26</output>
<result>E</result> | E | calc |
ape210k__00568420 | A typist typed a manuscript. On the first day, he typed 15 pages, and on the second day, he typed 13 pages. The number of pages typed in these two days accounted for 40% of the manuscript. How many pages does this manuscript have? | <gadget id="calculator">15 + 13</gadget>
<output>28</output>
<gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">28 / (2/5)</gadget>
<output>70</output>
<result>70</result> | 70 | calc |
aqua_rat__cCAfRD2ScFPkAHI2 | If 45% of a class averages 95% on a test, 50% of the class averages 78% on the test, and the remainder of the class averages 60% on the test, what is the overall class average? (Round final answer to the nearest percent). Pick: A) 83% B) 84% C) 85% D) 86% E) 87% | This question is a Weighted Average question with a series of dependent variables. The remaining portion of the class represents 100% - 45% - 50% = 5% of the class 85%onverting the portions of the class population to decimal weights, we find: 85%lass Average 100 - 45 - 50=
<gadget id="calculator"> 100 - 45 ... | C | calc |
aqua_rat__zniVuqltyqUp15Rl | A student travels from his house to school at 12 km/hr and reaches school 2 hours late. The next day he travels 20 km/hr and reaches school 1 hour early. What is the distance between his house and the school? Pick one: A) 90 B) 100 C) 110 D) 120 E) 130 | Let x be the distance from his house to the school. x/12 = x/20 + 3 5x = 3x + 180 2x = 180 x = 90 km The answer is 90.
<result>A</result> | A | calc |
ape210k__01116025 | If the side length of a cube is (4/5) meters, what is the surface area in square meters? | <gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(4/5) * (4/5) * 6</gadget>
<output>96/25 = around 3.84</output>
<result>96/25 = around 3.84</result> | 96/25 | calc |
ape210k__00478117 | Master Wang and Master Zhang processed a total of 720 parts in 8 hours. How many parts do they process per hour on average? | <gadget id="calculator">720 / 8 / 2</gadget>
<output>45</output>
<result>45</result> | 45 | calc |
aqua_rat__sxDGgiIXXqsKOV0W | A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 66 km downstream? Answers:
A) 30/83 hours
B) 33/13 hours
C) 31/13 hours
D) 30/13 hours
E) 30/14 hours | Speed downstream = 20 + 6=
<gadget id="calculator">20 + 6</gadget>
<output>26</output>
26 kmph. Time required to cover 66 km downstream= d/s = 66/26 = 33/13 hours. Answer:33/13 hours
<result>B</result> | B | calc |
aqua_rat__bTW12ZO2Bun59TPo | The cost of10 kgs. of sugar is Rs.300. What is the cost of .200kgs. of sugar?
Choose one
A) Rs.3 B) Rs.50 C) Rs.5 D) Rs.6 E) Rs.60 | Explanation: The cost of .200 kgs. of sugar = 300x .200/10 = Rs.6 Answer: Option Rs.6
<result>D</result> | D | calc |
aqua_rat__yI7Us5KHUola4nig | What is the sum of all the numbers between 300 and 1000 which are divisible by 179? Choose the correct option: A) 2517 B) 2527 C) 2607 D) 2506 E) 2606 | 358/179 ….. 895/179 179(2 + 3 + 4 + 5) => 2506 ANSWER:2506
<result>D</result> | D | calc |
ape210k__00240182 | The distance between AB and AB is 405 kilometers. A car travels from A to B for 90 kilometers in 2 hours. At this speed, how many hours will it take to reach B? | <gadget id="calculator">405 - 90</gadget>
<output>315</output>
<gadget id="calculator">90 / 2</gadget>
<output>45</output>
<gadget id="calculator">315 / 45</gadget>
<output>7</output>
<result>7</result> | 7 | calc |
ape210k__00174145 | If the reciprocal of a number is half of (3/5), what is the number. | <gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(3/5) * (1/2)</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">1 / (3/10)</gadget>
<output>10/3 = around 3.333333</output>
<res... | 10/3 | calc |
ape210k__00629629 | The original number of senior high school students in Huaxing Middle School was junior high school students (7/12). This semester, 30 students were transferred to high school. Now the ratio of the number of senior high school students to the number of junior high school students is 4:9. How many junior high school stud... | <gadget id="calculator">7 / 12</gadget>
<output>7/12 = around 0.583333</output>
<gadget id="calculator">4 / 9</gadget>
<output>4/9 = around 0.444444</output>
<gadget id="calculator">(7/12) - (4/9)</gadget>
<output>5/36 = around 0.138889</output>
<gadget id="calculator">30 / (5/36)</gadget>
<output>216</output>
<res... | 216 | calc |
ape210k__01131405 | There are 123 students in the fifth grade of Jingyuan No. 3 Primary School, and 63 girls. How many percent of the boys are girls? | <gadget id="calculator">123 - 63</gadget>
<output>60</output>
<gadget id="calculator">60 / 63</gadget>
<output>20/21 = around 0.952381</output>
<result>20/21 = around 0.952381</result> | 20/21 | calc |
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