id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
aqua_rat__ubOZftjZkKycytau | The number 523rbc is divisible by 7,8,9. Then what is the value of r*b*c Choices:
A) 504
B) 532
C) 210
D) 180
E) 280 | LCM of 7, 8 and 9 is 504, thus 523rbc must be divisible by 504. 523rbc=523000+rbc 523000 divided by 504 gives a remainder of 352. Hence, 352+rbc=k*504. k=1 rbc=152 --> r*b*c=10 k=2 rbc=656 -->r*b*c=180 As rbc is three digit number k can not be more than 2. Two answers? Well only one is listed in ans... | D | calc |
ape210k__00092358 | If the radius of the larger circle is 4 cm and the radius of the smaller circle is 2 cm, what is the area of the circle in square centimeters? | <gadget id="calculator">4 ** 2</gadget>
<output>16</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">16 - 4</gadget>
<output>12</output>
<gadget id="calculator">3.14 * 12</gadget>
<output>37.68</output>
<result>37.68</result> | 37.68 | calc |
ape210k__00072422 | The following is Xiaoli's "May 1st" travel expenses. Among the expenditure items: transportation expenses accounted for (1/3) of the total tourism expenditure, board and lodging expenses accounted for (1/5) of the total tourism expenditure, tickets accounted for (1/10) of the total tourism expenditure, transportation e... | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(1/3) + (1/5) + (1/10)</gadget>
<output>19/30 = around 0.633333</ou... | 11/30 | calc |
aqua_rat__Aa7yh2cjcZiL9yyb | The average of four consecutive odd numbers is 24. Find the largest number?
Choose the most appropriate option
A) 25 B) 29 C) 27 D) 31 E) None | Let the numbers are x, x+2, x+4, x+6, then x+(x+2)+(x+4)+(x+6)/4=24 4x+12/4=24 x+3=24 x=21 So largest number is 21 + 6=
<gadget id="calculator">21 + 6</gadget>
<output>27</output>
27 Answer 27
<result>C</result> | C | calc |
aqua_rat__8Ap3dfjcj1as2T4e | Pipe A can fill a tank in 6 hours. Due to a leak at the bottom, it takes 9 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank?
Choose the correct choice from the following options
A) 67 B) 88 C) 18 D) 26 E) 12 | Let the leak can empty the full tank in x hours 1/6 - 1/x = 1/9 => 1/x = 1/6 - 1/9 = (3 - 2)/18 = 1/18 => x = 18. Answer:18
<result>C</result> | C | calc |
ape210k__00565423 | A road roller has a cylindrical drum with a base radius of 4 dm and a length of 2 m. If it rotates 10 times in 1 minute, how much m**2 is the area of the road that is pressed in half an hour? | <gadget id="calculator">3.14 * 4_800</gadget>
<output>15_072</output>
<result>15_072</result> | 15_072 | calc |
gsm8k__7qxJ8mZ7usyKtVeI | Lyle wants to buy himself and his friends a sandwich and a pack of juice. A sandwich costs $0.30 while a pack of juice costs $0.2. If Lyle has $2.50, how many of his friends can have a sandwich and a pack of juice? | A sandwich and a pack of juice cost $0.3 + $0.2 = $
<gadget id="calculator">0.3+0.2</gadget>
<output>0.5</output>
0.50.
With Lyle's $2.50, he can buy $2.50/$0.50 =
<gadget id="calculator">2.5/0.5</gadget>
<output>5</output>
5 sets of sandwiches and juice.
Therefore, 5 - 1 =
<gadget id="calculator">5-1</gadget>
<outpu... | 4 | calc |
ape210k__01215657 | If the length of a rectangle is reduced by 5 decimeters and the width is increased by 8 decimeters, how many centimeters will the perimeter increase? | <gadget id="calculator">6 * 10</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
aqua_rat__2VVGpfRvxaZGl3mF | If a coin is tossed three times, what is the probability that on the first toss the coin lands on heads and then lands on tails the next two tosses?
Choose the correct choice from the following answers.
A) 1/8 B) 1/3 C) 1/4 D) 1/2 E) 1 | P(HTT) = 1/2*1/2*1/2=1/8 The answer is 1/8.
<result>A</result> | A | calc |
math_qa__lYwzB55M6EfOrGNF | The area of a square garden is A square feet and the perimeter is p feet. If a=2p+15, what is the perimeter of the garden, in feet? Answers
A) 28 B) 36 C) 40 D) 56 E) 64 | <gadget id="calculator">15 * 2</gadget>
<output>30</output>
<gadget id="calculator">10 + 30</gadget>
<output>40</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">40 - (1/4)</gadget>
<output>159/4 = around 39.75</output>
<gadget id="calculator">(159/4) - (1/4)... | C | calc |
gsm8k__84HxNzjBLrJj72gf | Melanie does her weekly shopping at the farmer's market. She starts with an 8-ounce wheel of brie cheese. Next is a 1 pound loaf of bread. She grabs a pound of tomatoes and 2 pounds of zucchini. After that, she grabs 1 1/2 pounds of chicken breasts and treats herself to 8 ounces of fresh raspberries and 8 ounces of... | She bought 8ounces of cheese, 8-ounce raspberries, 8 ounces of blueberries for a total of 8*3 =
<gadget id="calculator">8*3</gadget>
<output>24</output>
24 ounces
16 ounces are in 1 pound and she has 24 ounces of food so she has 24/16 =
<gadget id="calculator">24/16</gadget>
<output>3/2 = around 1.5</output>
1.5 poun... | 7 | calc |
ape210k__01205043 | There are 18 sticks in a pile. Take out (1/3) of this pile of small sticks, how many sticks did you take out? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">18 * (1/3)</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__00329955 | Xiao Ming reads a book, if he reads 18 pages a day, he can finish it in 15 days. If you read this book in 10 days, how many pages will you read per day on average? | <gadget id="calculator">15 / 10</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">18 * (3/2)</gadget>
<output>27</output>
<result>27</result> | 27 | calc |
ape210k__00299964 | A rectangular parallelepiped iron sheet with a length of 60cm and a width of 40cm is cut off at the four corners to form a rectangular parallelepiped box with a side length of 5cm. What is the volume of this box? | <gadget id="calculator">5 * 2</gadget>
<output>10</output>
<gadget id="calculator">60 - 10</gadget>
<output>50</output>
<gadget id="calculator">40 - 10</gadget>
<output>30</output>
<gadget id="calculator">50 * 30 * 5</gadget>
<output>7_500</output>
<result>7_500</result> | 7_500 | calc |
ape210k__00350887 | The students performed radio exercises. There were 56 girls and 64 boys. If every 8 people stand in a row, how many rows should they stand in total? | <gadget id="calculator">56 + 64</gadget>
<output>120</output>
<gadget id="calculator">120 / 8</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
aqua_rat__qv1Cw6OeANnuzjRc | A building contractor employs 20 male, 15 female and 5 child workers. To a male worker he pays Rs.25 per day, to a female worker Rs.20 per day and a child worker Rs.8 per day. The average wage per day paid by the contractor is? Choose the correct choice from the following answers:
A) 28 B) 21 C) 29 D) 27 E) 13 | 20 15 5 25 20 8 500 + 300 + 40=
<gadget id="calculator">500 + 300 + 40</gadget>
<output>840</output>
840/40=
<gadget id="calculator">840/40</gadget>
<output>21</output>
21 Answer:21
<result>B</result> | B | calc |
ape210k__00115275 | If the radius of a circle increases by 10%, how much does the circumference increase | <result>0.1</result> | 0.1 | calc |
ape210k__00340965 | The road repair team builds a road. The ratio of the repaired part to the unrepaired part is 5:3. It is also known that the repaired part is 600 meters long. How long is this road in meters? | <gadget id="calculator">5 + 3</gadget>
<output>8</output>
<gadget id="calculator">5 / 8</gadget>
<output>5/8 = around 0.625</output>
<gadget id="calculator">600 / (5/8)</gadget>
<output>960</output>
<result>960</result> | 960 | calc |
ape210k__00292104 | There are 756 poplars and willows planted in a primary school. The ratio of the number of poplars and willows planted is 4:5. How many poplars are planted? | <gadget id="calculator">4 + 5</gadget>
<output>9</output>
<gadget id="calculator">4 / 9</gadget>
<output>4/9 = around 0.444444</output>
<gadget id="calculator">756 * (4/9)</gadget>
<output>336</output>
<result>336</result> | 336 | calc |
math_qa__WJSPeLP9Pyuw9sXS | The annual interest rate earned by an investment increased by 10 percent from last year to this year. If the annual interest rate earned by the investment this year was 11 percent, what was the annual interest rate last year?
Options: A) 1 % B) 1.1 % C) 9.1 % D) 10 % E) 10.8 % | <gadget id="calculator">11 * 100</gadget>
<output>1_100</output>
<gadget id="calculator">11 + 100</gadget>
<output>111</output>
<gadget id="calculator">1_100 / 111</gadget>
<output>1_100/111 = around 9.90991</output>
<result>D</result> | D | calc |
ape210k__00293620 | Xiao Ming and Xiao Gang bought a total of 25 exercise books. If Xiao Gang buys 5 more, then (1/2) of Xiao Ming’s exercise books is exactly equal to (1/3) of the number of Xiao Gang’s exercise books. How many books did Xiao Ming originally buy? excercise book. | <gadget id="calculator">25 + 5</gadget>
<output>30</output>
<gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">30 * (2/5)</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
math_qa__f8joRGnLtsAgBSAL | To be considered for “movie of the year,” a film must appear in at least 1/4 of the top-10-movies lists submitted by the Cinematic Academy’s 775 members. What is the smallest number of top-10 lists a film can appear on and still be considered for “movie of the year”? Pick one.
A) 191 B) 194 C) 193 D) 212 E) 213 | <gadget id="calculator">775 / 4</gadget>
<output>775/4 = around 193.75</output>
<result>B</result> | B | calc |
ape210k__00963699 | In a dance classroom, a row of stainless steel training bars is placed every 1.5 meters on average. The front wall is a multimedia screen. In order to accommodate more people, the back wall needs to be equipped with levers. All 10 levers prepared by a dance teacher are used. How many meters is the classroom? | <gadget id="calculator">1.5 * 10</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
aqua_rat__doPiY6E7rM1Pfo9x | Look at this series: 14, 28, 20, 40, 32, 64, ... What number should come next? Pick one:
A) 52
B) 56
C) 96
D) 128
E) None | Explanation: This is an alternating multiplication and subtracting series: First, multiply by 2 and then subtract 8. Answer: Option 56
<result>B</result> | B | calc |
ape210k__00414298 | The fourth grade students went to visit the science and technology exhibition. Divide 1800 people into 25 teams on average, each team is divided into 4 groups on average, how many people are there in each group? | <gadget id="calculator">1_800 / 25 / 4</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
ape210k__00620359 | The actual investment of a sewage burial project is 850,000 yuan, saving (1/18) compared with the original planned investment. How much is the original planned investment? | <gadget id="calculator">1 / 18</gadget>
<output>1/18 = around 0.055556</output>
<gadget id="calculator">1 - (1/18)</gadget>
<output>17/18 = around 0.944444</output>
<gadget id="calculator">85 / (17/18)</gadget>
<output>90</output>
<result>90</result> | 90 | calc |
aqua_rat__N9oq6dqlHjgLcacn | In how many ways can 8 Indians and, 4 American and 4 Englishmen can be seated in a row so that all person of the same nationality sit together?
Select.
A) 3!*8!*4!*4! Ways B) 8!*4!*4! Ways C) 3!*8!*4!*Ways D) 3!*4!*4! Ways E) 4!*4! Ways | Taking all person of same nationality as one person, then we will have only three people. These three person can be arranged themselves in 3! Ways. 8 Indians can be arranged themselves in 8! Way. 4 American can be arranged themselves in 4! Ways. 4 Englishman can be arranged themselves in 4! Ways. Hence, requi... | A | calc |
ape210k__01150925 | Uncle Wang’s 5 cows produce 255 kilograms of milk in 6 days. How many kilograms of milk does each cow produce on average per day? | <gadget id="calculator">255 / 6 / 5</gadget>
<output>17/2 = around 8.5</output>
<result>17/2 = around 8.5</result> | 17/2 | calc |
ape210k__00363373 | Qinglian community planted 250 osmanthus trees this year, and 20 did not survive. What is the survival rate of these trees? | <gadget id="calculator">250 - 20</gadget>
<output>230</output>
<gadget id="calculator">230 / 250</gadget>
<output>23/25 = around 0.92</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(23/25) * 1</gadget>
<output>23/25 = around 0.92</output>
<result>23/25 = around 0.92</... | 23/25 | calc |
ape210k__01039821 | A train travels 126 kilometers per hour. After 4 hours, there are still 196 kilometers to reach the destination. After arriving at the destination, how many kilometers has the train traveled in total? | <gadget id="calculator">126 * 4</gadget>
<output>504</output>
<gadget id="calculator">504 + 196</gadget>
<output>700</output>
<result>700</result> | 700 | calc |
ape210k__00029324 | The sum of the numerator and denominator of a simplest fraction is 50. If 5 is subtracted from both the numerator and the denominator, the fraction obtained is (2/3). What is the simplest fraction? | <gadget id="calculator">5 * 2</gadget>
<output>10</output>
<gadget id="calculator">50 - 10</gadget>
<output>40</output>
<gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">40 * (3/5)</gadget>
<output>24</output>
... | 21/29 | calc |
gsm8k__rkFl5czlQAMgs9WO | Nicki spent the last year running a lot. For the first half of the year, she ran a total of 20 miles per week. For the second half of the year, she increased the mileage to 30 miles per week. How many miles total did she run for the year? | Each half of the year consists of 52 / 2 =
<gadget id="calculator">52/2</gadget>
<output>26</output>
26 weeks.
For the first half of the year, Nicki ran a total of 20 * 26 =
<gadget id="calculator">20*26</gadget>
<output>520</output>
520 miles.
For the second half of the year, Nicki ran a total of 30 * 26 =
<gadget ... | 1_300 | calc |
ape210k__00362508 | The garment factory processed 6,000 pieces of children's clothing in April, 20% less than that in May. How many pieces were processed in May? | <gadget id="calculator">20 / 100</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">6_000 / (4/5)</gadget>
<output>7_500</output>
<result>7_500</result> | 7_500 | calc |
ape210k__00816951 | Lingling's rectangular dining room is 3.6 meters long and 3 meters wide. How many square bricks with a side length of 6 decimeters are needed to pave the floor? | <gadget id="calculator">6 / 10</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">(3/5) * (3/5)</gadget>
<output>9/25 = around 0.36</output>
<gadget id="calculator">3 / (9/25)</gadget>
<output>25/3 = around 8.333333</output>
<gadget id="calculator">3.6 * (25/3)</gadget>
<output>30</output>
<result>3... | 30 | calc |
ape210k__00669249 | If the area of a triangle is 4.8 square centimeters, what is the area of a parallelogram with the same base and height as it? | <gadget id="calculator">4.8 * 2</gadget>
<output>9.6</output>
<result>9.6</result> | 9.6 | calc |
ape210k__00613448 | There is a mid-term exam for a class in the fifth grade of elementary school. The average score of mathematics is 70 points. It is known that the number of passing students is 4 times the number of failing students. The average score of passing students is 80 points. What is the average score of failing students? | <gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">80 * (4/5)</gadget>
<output>64</output>
<gadget id="calculator">70 - 64</gadget>
<output>6</output>
<gadget id="calculator">1 - (4/5)</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">6 / (1/5)</gadget>... | 30 | calc |
ape210k__01203607 | Three children, A, B, and C, go to buy ice cream. If they use the money brought by A to buy three ice creams, the difference is 0.63 yuan; if they use the money brought by B to buy three ice creams, the difference is 0.8 yuan; If the money is used to buy three ice creams, it will be 0.27 yuan more; it is known that C h... | <gadget id="calculator">0.41 - 0.27</gadget>
<output>0.14</output>
<gadget id="calculator">0.8 - 0.14</gadget>
<output>0.66</output>
<gadget id="calculator">0.66 + 0.63</gadget>
<output>1.29</output>
<gadget id="calculator">1.29 / 3</gadget>
<output>0.43</output>
<result>0.43</result> | 0.43 | calc |
ape210k__00022168 | A classmate went to a bookstore for a work-study program in the summer. According to the contract, the bookstore would give him a set of books and 800 yuan after working for 30 days. 500 yuan, how much is this set of books worth? | <gadget id="calculator">800 / 30</gadget>
<output>80/3 = around 26.666667</output>
<gadget id="calculator">500 / 20</gadget>
<output>25</output>
<gadget id="calculator">(80/3) - 25</gadget>
<output>5/3 = around 1.666667</output>
<gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadget id=... | 100 | calc |
aqua_rat__Yg1muiAHLSyX7663 | There are three prizes to be distributed among seven students. If no students gets more than one prize, then this can be done in? Choose the correct choice from the following options.
A) 10 B) 45 C) 35 D) 20 E) None of these | Explanation : 3 prize among 7 students can be distributed in 7C3 ways = 35 ways. Answer : 35
<result>C</result> | C | calc |
ape210k__00437917 | Subtract the quotient of (6/7) divided by (6/5) from the reciprocal of (9/7). What is the difference? | <gadget id="calculator">9 / 7</gadget>
<output>9/7 = around 1.285714</output>
<gadget id="calculator">1 / (9/7)</gadget>
<output>7/9 = around 0.777778</output>
<gadget id="calculator">6 / 7</gadget>
<output>6/7 = around 0.857143</output>
<gadget id="calculator">6 / 5</gadget>
<output>6/5 = around 1.2</output>
<gadg... | 4/63 | calc |
ape210k__00519789 | A bamboo pole is inserted into the bottom of the pool, and the part above the water is 5 meters long. Put the bamboo pole upside down and insert it into the bottom of the pool, and 2 meters above the water surface is dry. Find the length of this bamboo pole. | <gadget id="calculator">5 - 2</gadget>
<output>3</output>
<gadget id="calculator">5 + 3</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__00606396 | What is the result of the following calculation that is less than (1/2) | <gadget id="calculator">11 / 14</gadget>
<output>11/14 = around 0.785714</output>
<gadget id="calculator">5 / 14</gadget>
<output>5/14 = around 0.357143</output>
<gadget id="calculator">(11/14) - (5/14)</gadget>
<output>3/7 = around 0.428571</output>
<result>3/7 = around 0.428571</result> | 3/7 | calc |
aqua_rat__Jwn4d2vY7AqoohUZ | What is the average of two tenths and five thousandths Choose the correct choice from the following options
A) 0.2022
B) 0.3325
C) 0.1025
D) 0.2012
E) 0.2114 | Explanation: two tenths = 0.2 Five thousandths = 0.005 The average is (0.2 + 0.005)/2=
<gadget id="calculator">(0.2 + 0.005)/2</gadget>
<output>0.1025</output>
0.1025 Answer: 0.1025
<result>C</result> | C | calc |
aqua_rat__J3JEi90rJBvsBPfm | If a is an integer and b = 3a + 2, which of the following CANNOT be a divisor of b? Pick.
A) 6 B) 7 C) 8 D) 9 E) 10 | Just to add some more to Bunuel's explanation, if a number is a multiple of 3, it will be in a form: n = 3*k, where k is an integer And if a number is a multiple of 6, it will be in a form : m = 6*l, where l is an integer so m = 2 * 3 * l = (2*l) * 3 = 3 * p, where p is an integer. In other words, the prime f... | A | calc |
ape210k__00270669 | Xiaolin’s living room is going to be paved with floor tiles. If you use square bricks with a side length of 40 cm, you need to use 175 pieces. If you use square bricks with a side length of 50 cm, how many pieces should you use? (Solve with ratio) | <gadget id="calculator">40 * 40 * 175</gadget>
<output>280_000</output>
<gadget id="calculator">50 * 50</gadget>
<output>2_500</output>
<gadget id="calculator">280_000 / 2_500</gadget>
<output>112</output>
<result>112</result> | 112 | calc |
aqua_rat__8urQJMGi7QFEV2Qv | What is the greatest value of n such that 15^n is a factor of 15! ?
Choose the correct choice from the following choices:
A) 1 B) 2 C) 3 D) 4 E) 5 | Another way to solve this question : We know that 18 = 2 *3^2. Hence, we need to find total number of 3s in 18! ( As out of 3 and 2 , we will have count of 3 least) No. of 3s = 18/3=
<gadget id="calculator">18/3</gadget>
<output>6</output>
6/3=
<gadget id="calculator">6/3</gadget>
<output>2</output>
2. Add th... | E | calc |
aqua_rat__FlU6CIs0Ftqbz3wS | 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.8500. If his salary for the month of May is Rs.6500, find his salary for the month of January?
Choose the correct choice from the following.
A) 299 B) 2889 C) 4500 ... | Sum of the salaries of the person for the months of January, February, March and April = 4 * 8000=
<gadget id="calculator">4 * 8000</gadget>
<output>32_000</output>
32000 ----(1) Sum of the salaries of the person for the months of February, March, April and May= 4 * 8500=
<gadget id="calculator">4 * 8500</gadget>
<... | C | calc |
ape210k__00468245 | What is the number 80 less than 170? | <gadget id="calculator">170 - 80</gadget>
<output>90</output>
<result>90</result> | 90 | calc |
ape210k__00000450 | Stand No. 5 of Kunming Tuodong Gymnasium has 980 seats, and each row has 35 seats. How many rows are there in this stand? | <gadget id="calculator">980 / 35</gadget>
<output>28</output>
<result>28</result> | 28 | calc |
aqua_rat__XDWsxLMH8Iywwf52 | A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A Select
A) Rs.300 B) Rs.56 C) Rs.100 D) Rs. 240 E) Rs.90 | Explanation: (3*8 + 2*4):(4*8 + 5*4) 8:13 8/21 * 630 =Rs. 240 ANSWER:Rs. 240
<result>D</result> | D | calc |
math_qa__fGeZUnP11FjgHCoO | The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 45. What is the difference between the two digits of that number?
Choose the correct choice from the following options:
A) 4 B) 5 C) 6 D) 8 E) 9 | <gadget id="calculator">10 - 1</gadget>
<output>9</output>
<gadget id="calculator">45 / 9</gadget>
<output>5</output>
<result>B</result> | B | calc |
ape210k__00772309 | A road repair team repaired a road, 120 meters a day for the first 3 days, and 600 meters for the next 2 days, and it was just finished. How many meters does this road repair team build on average every day? | <gadget id="calculator">120 * 3</gadget>
<output>360</output>
<gadget id="calculator">360 + 600</gadget>
<output>960</output>
<gadget id="calculator">3 + 2</gadget>
<output>5</output>
<gadget id="calculator">960 / 5</gadget>
<output>192</output>
<result>192</result> | 192 | calc |
ape210k__00690151 | Uncle Li experimented with 1000 seeds and found that 50 did not germinate. What is the germination rate of the seeds? | <gadget id="calculator">1_000 - 50</gadget>
<output>950</output>
<gadget id="calculator">950 / 1_000</gadget>
<output>19/20 = around 0.95</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(19/20) * 1</gadget>
<output>19/20 = around 0.95</output>
<result>19/20 = around 0.... | 19/20 | calc |
ape210k__00182390 | There are eight numbers lined up, their average is 54, the average of the first five numbers is 46, the average of the last four numbers is 68, what is the fifth number. | <gadget id="calculator">46 * 5</gadget>
<output>230</output>
<gadget id="calculator">68 * 4</gadget>
<output>272</output>
<gadget id="calculator">230 + 272</gadget>
<output>502</output>
<gadget id="calculator">54 * 8</gadget>
<output>432</output>
<gadget id="calculator">502 - 432</gadget>
<output>70</output>
<resu... | 70 | calc |
ape210k__00648661 | For classmate Xiaomei’s birthday, she divided a birthday cake into 8 pieces on average, father and mother each ate 3 pieces, and Xiaomei ate the rest, how much did Xiaomei eat? | <gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">1 - (3/8) - (3/8)</gadget>
<output>1/4 = around 0.25</output>
<result>1/4 = around 0.25</result> | 1/4 | calc |
ape210k__00445380 | The sum of the numerator and the denominator of a fraction is 90. After dividing the fraction, it is (2/13). What is the original fraction? | <gadget id="calculator">2 / 15</gadget>
<output>2/15 = around 0.133333</output>
<gadget id="calculator">13 / 15</gadget>
<output>13/15 = around 0.866667</output>
<gadget id="calculator">90 * (13/15)</gadget>
<output>78</output>
<gadget id="calculator">(2/15) / 78</gadget>
<output>1/585 = around 0.001709</output>
<g... | 2/13 | calc |
ape210k__00437262 | A chicken farm has a batch of broilers that need to be sold. For the first time, 40% of the total number of broilers are sold, and 200 are sold for the second time. At this time, the ratio of the remaining broilers to the number of sold broilers is 2:3. How many broilers are there in total? | <gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 - (2/5) - (2/5)</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">... | 1_000 | calc |
ape210k__00846265 | The fruit shop shipped back 200kg of apples, which was 1/4 more than pears. How many kilograms of pears does the fruit shop ship back? | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 + (1/4)</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">200 / (5/4)</gadget>
<output>160</output>
<result>160</result> | 160 | calc |
aqua_rat__uswHaQhA7haMqZP7 | Last year, sales at Company Dopler were 10% greater in February than in January, 5% less in March than in Feb, 5% greater in April than in March, 10% less in May than in April, and 10% greater in June than in May. In which month were sales closest to Jan? Choose the correct choice from the following answers.
A) Feb
B)... | Jan = $100 10% greater in February than in January ---> Feb = $110 10% less in March than in Feb ---> Mar = $99 5% greater in April than in March ---> Apr = $103.95 10% less in May than in April ---> May $93.55 10% greater in June than in May --->Jun = $102.90 Answer : Mar
<result>C</result> | C | calc |
ape210k__00192559 | A deck of poker cards has 4 suits (except big and small kings), and each suit has 13 cards, from which cards are randomly drawn, at least how many cards must be drawn to ensure that 4 cards are of the same suit. | <gadget id="calculator">3 * 4</gadget>
<output>12</output>
<gadget id="calculator">12 + 1</gadget>
<output>13</output>
<result>13</result> | 13 | calc |
aqua_rat__Vam8LMjBUkczEVrO | 40% of a number is more than 20% of 650 by 190. Find the number? Pick: A) 228 B) 276 C) 800 D) 288 E) 121 | (40/100) * X – (20/100) * 650 = 190 2/5 X = 320 X = 800 Answer:800
<result>C</result> | C | calc |
gsm8k__vlQIAbnsuxGGeewY | A 1165 cm long rope is cut into 154 pieces. 150 of the pieces are equally sized and the remaining pieces are 100mm each. Find the length of each of the equal pieces in millimeters. | Each cm contains 10mm so 1165cm is 1165*10 =
<gadget id="calculator">1165*10</gadget>
<output>11_650</output>
11650mm
154-150 =
<gadget id="calculator">154-150</gadget>
<output>4</output>
4 pieces of the rope are 100mm each in length.
The 4 pieces have a total length of 4*100 =
<gadget id="calculator">4*100</gadget>... | 75 | calc |
ape210k__00629513 | Mom bought a pack of 2000 grams of miscellaneous grains, of which (1/7) is oatmeal, (2/5) is black rice, and the rest are ordinary rice. What percentage of the miscellaneous grains does rice account for? | <gadget id="calculator">1 / 7</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 - (1/7) - (2/5)</gadget>
<output>16/35 = around 0.457143</output>
<result>16/35 = around 0.457143</result> | 16/35 | calc |
math_qa__PE6cV8gPLFSZuq5o | Find the amount on Rs.4000 in 2 years, the rate of interest being 4% per first year and 5% for the second year? Choices:
A) 4368
B) 2678
C) 5460
D) 1976
E) 1671 | <gadget id="calculator">100 + 4</gadget>
<output>104</output>
<gadget id="calculator">4_000 * 104</gadget>
<output>416_000</output>
<gadget id="calculator">416_000 / 100</gadget>
<output>4_160</output>
<gadget id="calculator">100 + 5</gadget>
<output>105</output>
<gadget id="calculator">4_160 * 105</gadget>
<output... | A | calc |
ape210k__00618830 | When the little sloppy was calculating an addition problem, he regarded the "5" in the tens place as "3", and the result was 784. What should be the correct answer. | <gadget id="calculator">784 + 20</gadget>
<output>804</output>
<result>804</result> | 804 | calc |
aqua_rat__Z5RG0WZnSby86l4v | If -1<x<0, what is the median M of these six numbers listed below
1/x^3,1/x^2, 1/x,x, x^2,x^3 Choose the correct choice from the following choices.
A) 1/x B) x^2 C) x^2(x+1)/2 D) M=x(x^2+1)/2 E) x^2/2x | My approach: Put any value between -1 and 0. you will get the answer. lets say 0.5. so the list will be as follows: -8,-2,-0.5,-0.125 and last two numbers will be positive so need to see that. median will be between -0.5 and -0.125. So, (x^3+x)/2 (M=x(x^2+1)/2).
<result>D</result> | D | calc |
ape210k__00259765 | A pipeline installation team needs to install a 960-meter-long underground pipeline, and installed 192 meters in 4 days. How many days will it take to complete the remaining tasks? (Solve with ratio) | <gadget id="calculator">960 - 192</gadget>
<output>768</output>
<gadget id="calculator">192 / 4</gadget>
<output>48</output>
<gadget id="calculator">768 / 48</gadget>
<output>16</output>
<result>16</result> | 16 | calc |
aqua_rat__4P0HpDnSWG9POK7u | Which one of the following numbers is a solution of the equation
(x(2sq)-2)(x(2sq) + 6)(x(third3)-8) = 0?
Answers
A) 1 B) 2 C) 3 D) 4 E) 5 | One checks each of the ve given possible answers. Since 2-3third- - 8 = 0, the answer is 2. correct answer 2
<result>B</result> | B | calc |
aqua_rat__XkpOQq2erv9V4v9S | If 11 boys meet at a reunion and each boy shakes hands exactly once with each of the others, then what is the total number of handshakes
Choose the correct choice from the following answers
A) 55
B) 42
C) 43
D) 44
E) 45 | n(n-1)/2 =11*10/2=
<gadget id="calculator">11*10/2</gadget>
<output>55</output>
55 55NSWER:55
<result>A</result> | A | calc |
ape210k__00027418 | There are 15 students in the art class, and the number of people in the music class is 7 times that of the art class. How many students are there in the music class? | <gadget id="calculator">15 * 7</gadget>
<output>105</output>
<result>105</result> | 105 | calc |
math_qa__g6c7I0X8C5QuEHbV | A work which could be finished in 8 days was finished 3 days earlier after 10 more men joined. The number of men employed was? Choose the correct choice from the following choices: A) 22 B) 30 C) 88 D) 71 E) 11 | <gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">6 * 10</gadget>
<output>60</output>
<gadget id="calculator">8 - 6</gadget>
<output>2</output>
<gadget id="calculator">60 / 2</gadget>
<output>30</output>
<result>B</result> | B | calc |
ape210k__00712893 | Multiply the numerator of (5/6) by 3, how much should the denominator be increased to keep the size of the fraction constant | <gadget id="calculator">6 * 3</gadget>
<output>18</output>
<gadget id="calculator">18 - 6</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
ape210k__00684871 | Mom went to the supermarket to buy 3.5 kilograms of pears, which cost 14 yuan. How much is a kilogram of pears? (column equations to solve problems) | <gadget id="calculator">14 / 3.5</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
ape210k__01050431 | A popular science book originally had 576 characters per page and 125 pages. When it was republished, the font size was changed to 720 characters per page. How many pages are there now? (Solution by proportional method) | <gadget id="calculator">576 * 125</gadget>
<output>72_000</output>
<gadget id="calculator">72_000 / 720</gadget>
<output>100</output>
<result>100</result> | 100 | calc |
ape210k__00312112 | In the old site group, I saw Grandpa Zhang weaving straw sandals. He weaves 12 pairs a day. According to this calculation, how many pairs can we weave in the first quarter of this year? | <gadget id="calculator">31 + 29 + 31</gadget>
<output>91</output>
<gadget id="calculator">12 * 91</gadget>
<output>1_092</output>
<result>1_092</result> | 1_092 | calc |
ape210k__01126325 | Beibei’s house needs to be renovated. If the living room is paved with square bricks with an area of 40 decimeters, it will cost 145 yuan; if it is replaced with square bricks with a side length of 10 decimeters, how many bricks will be used? (solution by equation) | <gadget id="calculator">145 * 40</gadget>
<output>5_800</output>
<gadget id="calculator">10 * 10</gadget>
<output>100</output>
<gadget id="calculator">5_800 / 100</gadget>
<output>58</output>
<result>58</result> | 58 | calc |
aqua_rat__VVNxtdVvprvgzt0O | The ratio of the ages of Maala and Kala is 4 : 3. The total of their ages is 2.8 decades. The proportion of their ages after 0.8 decades will be [1 Decade = 10 years] Pick
A) 4:3 B) 12:11 C) 7:4 D) 6:5 E) 6:7 | Explanation: Let, Maala’s age = 4A and Kala’s age = 3A Then 4A + 3A = 28 A = 4 Maala’s age = 16 years and Kala’s age = 12 years Proportion of their ages after 8 is = (16 + 8) : (12 + 8) = 24 : 20 = 6 : 5 .. Answer: 6:5
<result>D</result> | D | calc |
aqua_rat__visGM8DzhJGzVcbN | A lady goes to a bank near her newly possessed home. The bank's policies are weird, but she decides to open the account anyhow with a certain amount. The policy is that at the end of each year, the total amount gets doubled and Rs. 65 is deducted from that amount. After 6 years, when the lady checks her account, the to... | E Explanation: This question is hypothetical because you cannot transact in fractions in bank account. The following is the solution: Year Amount Interest and Deduction Start 63.984375 Y1 63.984375nd 62.968750 63.984375 * 2 - 65 Y2 63.984375nd 60.937500 62.96875* 2 - 65 Y3 63.984375nd 56.875000 60.9375 * ... | E | calc |
aqua_rat__517bBhkN12djA14w | Two children want to walk together to visit their aunt, who lives exactly 7 blocks north and 5 blocks east of their current location. If they travel only along streets and do not travel diagonally, the shortest possible route connecting the two points is exactly 12 blocks. How many different 12-block routes may they ta... | If they need to walk 7 blocks north and 5 blocks east, we can express this route as NNNNNNNEEEEE. The question thus asks us how many ways we can arrange those letters. The number of arrangements of 12 things is 12! We then divide by the repetitions of N's and E's, which are 7! and 5! respectively. The number of w... | C | calc |
aqua_rat__3tb2WtV5FtMTvVlw | The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be Choose one: A) 12 years B) 20 years C) 25 years D) 28 years E) None | Solution Let the present ages of son and father be x and (60 - x) years respectively. Then, (60 - x) - 6 = 5(x - 6) = 54 - x = 5x - 30 ‹=›6x = 84 ‹=›x= 14. ∴Son's age after 6 years = (x + 6) = 20 years. Answer 20 years
<result>B</result> | B | calc |
ape210k__01197889 | If one base angle of an isosceles triangle is 70°, what is its top angle? | <gadget id="calculator">70 * 2</gadget>
<output>140</output>
<gadget id="calculator">180 - 140</gadget>
<output>40</output>
<result>40</result> | 40 | calc |
ape210k__00619524 | I typed 45 pages of a manuscript on the first day, and typed 20% more on the second day than on the first day. In two days, I typed 60% of the manuscript. How many pages does this manuscript have? | <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">45 * (6/5)</gadget>
<output>54</output>
<gadget id="calculator">45 + 54</gadget>
<output>99</output>
<gadget id="calculator">60 / 100</gadg... | 165 | calc |
ape210k__00043439 | The school bought 72 sets of desks (one desk and one chair), each desk was 100 yuan, and each chair was 35 yuan. How much did you spend in total? (two ways to answer) | <gadget id="calculator">100 * 72</gadget>
<output>7_200</output>
<gadget id="calculator">35 * 72</gadget>
<output>2_520</output>
<gadget id="calculator">7_200 + 2_520</gadget>
<output>9_720</output>
<result>9_720</result> | 9_720 | calc |
ape210k__00086221 | If the lengths of two adjacent sides of a parallelogram are 4 cm and 3 cm respectively, what is its perimeter in cm? | <gadget id="calculator">4 + 3</gadget>
<output>7</output>
<gadget id="calculator">7 * 2</gadget>
<output>14</output>
<result>14</result> | 14 | calc |
aqua_rat__ELZveCPcCeggR0zM | Excluding stoppages, the speed of a bus is 54 km/hr and including stoppages, it is 45 km/hr. For how many minutes does the bus stop per hour? Choose one
A) 118 min
B) 10 min
C) 18 min
D) 16 min
E) 15 min | Due to stoppages, it covers 9 km less. Time taken to cover 9 km = 9/54 * 60=
<gadget id="calculator">9/54 * 60</gadget>
<output>10</output>
10 min. Answer:10 min
<result>B</result> | B | calc |
ape210k__00087842 | Calculation: ((1/2)+(1/4)+(1/6)+(1/8))-((1/3)+(1/6)+(1/9)+(1/ 12))+((1/4)+(1/8)+(1/12)+(1/16))-((1/5)+(1/10)+(1/15)+( 1/20)) | <gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="c... | 169/720 | calc |
ape210k__00859755 | The bookstore has a total of 300 story books and technology books. The ratio of story books to technology books is 3:2. Later, some technology books were shipped in. At this time, the ratio of story books to technology books was 9:8. How many books? | <gadget id="calculator">3 + 2</gadget>
<output>5</output>
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">9 + 8</gadget>
<output>17</output>
<gadget id="calculator">9 / 17</gadget>
<output>9/17 = around 0.529412</output>
<gadget id="calculator">(3/5) / (9/17)</gadget... | 40 | calc |
aqua_rat__prh9qUB0BgkhrWgd | If .08216 and 68.01 are multiplied to give x as product , how many digit to the right of the decimal point does x have?
Options:
A) 8 B) 7 C) 6 D) 8 E) 9 | Product of .08216 and 68.01 is 5.5877016. Therefore number of digits to right of decimal point is 7 Answer is 7.
<result>B</result> | B | calc |
ape210k__01160305 | Uncle Wang brought 498 yuan to buy a notebook. He bought 28 copies and left 50 yuan. How much is the price of each notebook? | <gadget id="calculator">498 - 50</gadget>
<output>448</output>
<gadget id="calculator">448 / 28</gadget>
<output>16</output>
<result>16</result> | 16 | calc |
aqua_rat__HMalPF1n9tqobpXc | The average age of 50 students in a class is 14 years. If the age of teacher is also included, the average becomes 15 years, find the age of the teacher. Pick one:
A) 30 B) 65 C) 60 D) 55 E) 56 | Explanation: If teacher's age is 14 years, there is no change in the average. But teacher has contributed 1 year to all the students along with maintaining his age at 15. Age of teacher = Average age of all + Total increase in age = 15 + (1 x 50 ) = 65 years Answer:65
<result>B</result> | B | calc |
ape210k__00559859 | Two trains, A and B, depart from two stations at the same time. The speed of A train is 78 km/h, and the speed of B train is 96 km/h. When they meet, A travels 72 km less than B train. How many kilometers apart? | <gadget id="calculator">96 - 78</gadget>
<output>18</output>
<gadget id="calculator">72 / 18</gadget>
<output>4</output>
<gadget id="calculator">96 + 78</gadget>
<output>174</output>
<gadget id="calculator">4 * 174</gadget>
<output>696</output>
<result>696</result> | 696 | calc |
aqua_rat__OeS8bVBc61UMaRxZ | A pool which was 2/3 full to begin with, was filled at a constant rate for 5/3 hours until it was until it was 6/7 full. At this rate, how much time would it take to completely fill this pool if it was empty to begin with? Choose the correct choice: A) 8 hrs 45 mins. B) 9 hrs. C) 9 hrs 30 mins. D) 11 hrs 40 mins. E) 15... | The pool was 2/3 full initially. In 5/3 hrs, it was filled to 6/7 of its capacity. Therefore, in 5/3 hrs, 6/7 - 2/3 was the amount of volume filled. So, 5/3 hrs = 6/7 - 2/3 = 4/21 Therefore, for filling the vessel from empty to full, you would require 5/3 * 21/4 = 35/4 = 8 Hrs 45 Mins. Hence 8 hrs 45 mins.
<r... | A | calc |
ape210k__00597888 | There is a fraction whose numerator is 13 smaller than the denominator. If 18 is added to the numerator and 21 to the denominator, the value of the fraction remains the same. What is the original fraction? | <gadget id="calculator">78 + 13</gadget>
<output>91</output>
<gadget id="calculator">78 / 91</gadget>
<output>6/7 = around 0.857143</output>
<result>6/7 = around 0.857143</result> | 6/7 | calc |
ape210k__00497528 | The fruit store packs apples, 32 in a box, 27 boxes have been packed, and there are 896 unpacked, how many boxes of apples can be packed in the fruit store? | <gadget id="calculator">896 / 32</gadget>
<output>28</output>
<gadget id="calculator">28 + 27</gadget>
<output>55</output>
<result>55</result> | 55 | calc |
ape210k__00086075 | In the third grade, 84 students went to work in the orchard. The 4 students were divided into groups, and each group picked 58 kg of apples. How many kilograms of apples were picked in total? | <gadget id="calculator">84 / 4</gadget>
<output>21</output>
<gadget id="calculator">21 * 58</gadget>
<output>1_218</output>
<result>1_218</result> | 1_218 | calc |
ape210k__00350081 | Teacher Cheng gave the students homework books. If it is only assigned to Group A, each student will get 30 copies; if only assigned to Group B, each student will get 15 copies; if only assigned to Group C, each student will get 10 copies; if only assigned to Group D, each student will get 15 copies Each person can get... | <gadget id="calculator">1 / 30</gadget>
<output>1/30 = around 0.033333</output>
<gadget id="calculator">1 / 15</gadget>
<output>1/15 = around 0.066667</output>
<gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadg... | 4 | calc |
ape210k__00401713 | Three trucks transport 72 tons of goods at one time. According to this calculation, if we add four more trucks, how many tons can we transport at one time? | <gadget id="calculator">72 / 3</gadget>
<output>24</output>
<gadget id="calculator">3 + 4</gadget>
<output>7</output>
<gadget id="calculator">24 * 7</gadget>
<output>168</output>
<result>168</result> | 168 | calc |
ape210k__00381718 | 3 tons of iron nails are put into 100 wooden boxes, and there are 500 kilograms left. How many wooden boxes are needed? | <gadget id="calculator">3 * 1_000</gadget>
<output>3_000</output>
<gadget id="calculator">3_000 - 500</gadget>
<output>2_500</output>
<gadget id="calculator">2_500 / 100</gadget>
<output>25</output>
<gadget id="calculator">500 / 25</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
aqua_rat__SPl9zaUr7sDQci4y | In an office, totally there are 6400 employees and 65% of the total employees are males. 25% of the males in the office are at-least 50 years old. Find the number of males aged below 50 years? Choose the correct choice from the following choices
A) 2882 B) 8277 C) 3120 D) 2777 E) 9112 | Number of male employees = 6400 * 65/100=
<gadget id="calculator">6400 * 65/100</gadget>
<output>4_160</output>
4160 Required number of male employees who are less than 50 years old= 4160 * (100 - 25)% = 4160 * 75/100=
<gadget id="calculator">4160 * 75/100</gadget>
<output>3_120</output>
3120. Answer: 3120
<res... | C | calc |
ape210k__00008621 | There are 4 students agreeing to go online, but now there are only 3 computers, so two students have to use the same computer, how many different ways are there in total? | <gadget id="calculator">6 * 6</gadget>
<output>36</output>
<result>36</result> | 36 | calc |
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