id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00609405 | There are 40 students in Class 1 of the fifth grade in Dongfang Primary School, of which boys account for (5/8). What percentage of boys are girls in this class? | <gadget id="calculator">5 / 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">(3/8) / (5/8)</gadget>
<output>3/5 = around 0.6</output>
<result>3/5 = around 0.6</result> | 3/5 | calc |
math_qa__4bMNXy4Zaienwm9n | A metallic sheet is of rectangular shape with dimensions 48 m x 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 7 m, the volume of the box (in m3) is:
Pick.
A) 4830 B) 5236 C) 6420 D) 8960 E) 7960 | <gadget id="calculator">7 * 2</gadget>
<output>14</output>
<gadget id="calculator">48 - 14</gadget>
<output>34</output>
<gadget id="calculator">36 - 14</gadget>
<output>22</output>
<gadget id="calculator">34 * 22 * 7</gadget>
<output>5_236</output>
<result>B</result> | B | calc |
ape210k__00056051 | (1-(1/2))*(1-(1/4))*(1-(1/6))*(1-(1/8))*(1-(1/3))* (1-(1/5))*(1-(1/7))*(1-(1/9))=how much. | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 - (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 - (1/4)</gadget>
<output>3/4 = around 0.75</output>
<gadget id="ca... | 1/9 | calc |
ape210k__00523348 | A cuboid swimming pool is 50m long and 25m wide. When all the water inlet pipes are opened, 5m**2 of water can be injected per minute. If the water depth is to reach 1.5m, how many hours must be filled? | <result>6.25</result> | 6.25 | calc |
ape210k__00489847 | Chunlei Primary School planted trees this spring, among which 25 pine trees and 15 cypress trees were planted, and a total of 38 trees survived. Find the survival rate. | <gadget id="calculator">25 + 15</gadget>
<output>40</output>
<gadget id="calculator">38 / 40</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 0.95</resu... | 19/20 | calc |
ape210k__00536052 | A piece of cuboid wood has a volume of 0.36m**3 and a cross section of 40dm**2. What is the length of this piece of wood in m? | <gadget id="calculator">0.36 / 0.4</gadget>
<output>0.9</output>
<result>0.9</result> | 0.9 | calc |
ape210k__00216154 | The price of a piece of clothing is increased by 10% due to the peak sales season. After a period of time, the price has to be reduced by 10% because of the old style. The current price is 99 yuan. What is the original price? | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(1/10) * (1/10)</gadget>
<output>1/100 = around 0.01</output>
<gadget id="calculator">(1/10) - (1/10) - (1/100)</gadget>
<output>-1/100 = around -0.01</output>
<gadget id="calculator">1 + (-1/100)</gadget>
<output>99... | 100 | calc |
aqua_rat__ZWrTpV2m7wf6NRDI | A, B and C enter into a partnership. They invest Rs. 60,000, Rs. 80,000 and Rs. 1,20,000 respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3 years?
Choose the correct choice from the foll... | Sol. A : B : C = (60000 * 36) : (80000 * 12 + 40000 * 24) : (120000 * 24 + 40000 * 12) =216 : 192 : 336 = 9: 8: 14 Answer 9: 8: 14
<result>D</result> | D | calc |
aqua_rat__0lYfMfobXqDow6yx | A and B finish the job in 15 days.while A,B and C can finish it in 6 days . C alone will finish the job in Choose the correct choice.
A) 10 days B) 30 days C) 60 days D) 70 days E) 50 days | Explanation: 6 = (15 * x)/(15 + x) 90+6x=15x 9x=90 X=10 10 daysnswer: Option 10 days
<result>A</result> | A | calc |
ape210k__01110345 | In a men's basketball match, the Chinese team beat the Lebanese team 110:71. Yao Ming scored 33 points and Zhu Fangyu scored 25 points. What percentage of the total score did Yao Ming get more than Zhu Fangyu? | <gadget id="calculator">33 - 25</gadget>
<output>8</output>
<gadget id="calculator">8 / 110</gadget>
<output>4/55 = around 0.072727</output>
<result>4/55 = around 0.072727</result> | 4/55 | calc |
ape210k__00514692 | The school botanical garden is a rectangular piece of land with an area of 448 square meters and a known length of 28 meters. What is the ratio of width to length in meters? | <gadget id="calculator">448 / 28</gadget>
<output>16</output>
<gadget id="calculator">28 - 16</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
ape210k__00099546 | Pack 60 apples into several plastic bags, and the number of apples in each bag is different. May I ask: How many plastic bags should be used at most? | <result>10</result> | 10 | calc |
ape210k__00123343 | If the area of a rectangle is 16 square centimeters and the length is 8 centimeters, what is its perimeter in centimeters? | <gadget id="calculator">16 / 8</gadget>
<output>2</output>
<gadget id="calculator">8 + 2</gadget>
<output>10</output>
<gadget id="calculator">10 * 2</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
ape210k__00574931 | A wood processing factory needs to process a cuboid block of wood with a length of 15 cm, a width of 6 cm, and a height of 4 cm into the largest cone. What is the volume of this cone? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">4 / 2</gadget>
<output>2</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">(1/3) * 3.14 * 4 * 15</gadget>
<output>62.8</output>
<result>62.8</result> | 62.8 | calc |
ape210k__00494690 | Xinhua Bookstore shipped 940 children's books, sold 18 packs, and left 220 books. How many books per pack? | <gadget id="calculator">940 - 220</gadget>
<output>720</output>
<gadget id="calculator">720 / 18</gadget>
<output>40</output>
<result>40</result> | 40 | calc |
ape210k__00457867 | What is the area of a square surrounded by a rope 7.6 meters long? | <gadget id="calculator">7.6 / 4</gadget>
<output>1.9</output>
<gadget id="calculator">1.9 * 1.9</gadget>
<output>3.61</output>
<result>3.61</result> | 3.61 | calc |
ape210k__00076038 | If the base of a parallelogram is 6.5 meters and the height is 4 meters, what is the area in square meters of the triangle with the same base and height? | <gadget id="calculator">4 / 2</gadget>
<output>2</output>
<gadget id="calculator">6.5 * 2</gadget>
<output>13</output>
<result>13</result> | 13 | calc |
aqua_rat__VO4lqePSVVilaK5R | Which of the following values of A satisfies the inequality?
A(A – 2) = 5A – 10
Options:
A) A > 5 or A < 2
B) 2 < A < 5
C) 2 < A = 5
D) A = 5, A = -2
E) None of these | Explanation: A ( A – 2) = 5 A – 10 A( A – 2) = 5 ( A – 2) A = 5 if A – 2 > 0 A = 5, A > 2 i.e. 2 < A = 5 ANSWER: 2 < A = 5
<result>C</result> | C | calc |
ape210k__00162825 | (3/5) of a number is 60, what is the number | <gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">60 / (3/5)</gadget>
<output>100</output>
<result>100</result> | 100 | calc |
ape210k__00454731 | The three members of Xiaoming's family travel by train, each train ticket is 202 yuan, and they also take the train when they come back. How much did they spend on the train tickets for this trip? | <gadget id="calculator">202 * 3 * 2</gadget>
<output>1_212</output>
<result>1_212</result> | 1_212 | calc |
aqua_rat__SHXxZ2H5iqIW3PBF | A Ship going at the speed of 18 km/hr crosses a light house in 20 seconds. What is the length of the train? Select: A) 120 B) 150 C) 100 D) 240 E) 200 | Speed=(18x5/18)=5 m/sec. Length of the train=(Speed x Time). Length of the train=5x20m = 100 m. Answer: 100
<result>C</result> | C | calc |
ape210k__00566291 | A batch of clothing was rushed to be produced (1/4) in 10 days. In order to speed up the progress, the efficiency was increased by 50%. If this is the case, how many days will it take to complete the remaining tasks? | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 - (1/4)</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(1/4) / 10</gadget>
<output>1/40 = around 0.025</output>
<gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>
<gadget... | 20 | calc |
math_qa__VnOs0XGmS6U1nds8 | Before leaving home for the town of Madison, Pete checks a map which shows that Madison is 5 inches from his current location, Gardensquare. Pete arrives in Madison 1.5 hours later and drove at an average speed of 60 miles per hour. At what scale, in inches per mile, is the map drawn?
Choose the correct choice from the... | <gadget id="calculator">1.5 / 5</gadget>
<output>0.3</output>
<gadget id="calculator">0.3 * 60</gadget>
<output>18</output>
<gadget id="calculator">1 / 18</gadget>
<output>1/18 = around 0.055556</output>
<result>B</result> | B | calc |
aqua_rat__vh2dGsMofW6goSn1 | 3 buffaloes eat as much as 4 cows or 2 oxen. At a farm, there are 15 buffaloes, 8 oxen, and 24 cows. The fodder for these cattle is available for 48 days. If 40 more cows and 15 more buffaloes are brought in, how many days will the fodder last?
Select
A) 20
B) 24
C) 28
D) 32
E) 36 | 2 oxen = 3 buffaloes = 4 cows Also: 15 buffaloes + 8 oxen + 24 cows = 10 oxen + 8 oxen + 12 oxen = 30 oxen There is enough fodder for 1 oxen for 30*48 days. 40 cows + 15 buffaloes = 20 oxen + 10 oxen = 30 oxen The new total is equal to 60 oxen instead of 30 oxen. 30*48 / 60=
<gadget id="calculator">30*48 /... | B | calc |
ape210k__00466284 | A loom weaves 52.5 meters in the morning, and the length of the loom in the afternoon is 0.8 kilometers longer than 1.2 times that in the morning. How many meters can this loom weave in a day? | <gadget id="calculator">52.5 * 1.2</gadget>
<output>63</output>
<gadget id="calculator">63 + 0.8 + 52.5</gadget>
<output>116.3</output>
<result>116.3</result> | 116.3 | calc |
ape210k__00296778 | A cuboid steel block is completely submerged in a cuboid container with a length of 60 cm and a width of 38 cm. When the steel block is taken out, the water level in the container drops by 5 cm. If the bottom area of the cuboid steel block is 570cm**2, how many centimeters is the height of the steel block? | <gadget id="calculator">5 / 570</gadget>
<output>1/114 = around 0.008772</output>
<gadget id="calculator">60 * 38 * (1/114)</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
aqua_rat__BhFc52uOCWota9Bb | The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average of the team? Pick one: A) 23 years B) 67 years C) 15 years ... | Let the average of the whole team be x years. 11x - (26 + 29) = 9(x - 1) = 11x - 9x = 46 = 2x = 46 => x = 23 So, average age of the team is 23 years. 23 yearsnswer:23 years
<result>A</result> | A | calc |
ape210k__00006310 | The existing 12 teams are divided into 3 groups to participate in the volleyball competition. There is a competition between every two teams in the group, so how many games will the 12 teams have in total? | <gadget id="calculator">12 / 3</gadget>
<output>4</output>
<gadget id="calculator">4 - 1</gadget>
<output>3</output>
<gadget id="calculator">4 / 2</gadget>
<output>2</output>
<gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">6 * 3</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
aqua_rat__DURHQahLJqCTsUEk | Two cars cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance travelled by them if the slower car takes 1 hour more than the faster car.
Answers.
A) 980 km B) 860 km C) 960 km D) 460 km E) 660 km | 860 km 60(x + 1) = 64x X = 15 60 * 16=
<gadget id="calculator">60 * 16</gadget>
<output>960</output>
960 km
<result>B</result> | B | calc |
math_qa__7aaqVdj94yeLoEyA | 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 of the article for making 50 per cent profit? Choose the correct choice from the following choices.
A) 960 B) 1060 C) 1,200 D) 920 E) none of these | <gadget id="calculator">832 + 448</gadget>
<output>1_280</output>
<gadget id="calculator">1_280 / 2</gadget>
<output>640</output>
<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">640 * (3/... | A | calc |
aqua_rat__GIruP8NglCQW8QVo | Three unbiased coin are tossed. What is the probability of getting atmost
one head?
Choose the correct choice from the following options:
A) 1/2
B) 1/4
C) 7/8
D) 3/5
E) 1/6 | Here n(S)= 2^3 Let E=event of getting atmost one head = n(E)= 7 P(E)=n(E)/n(S)=7/8 Answer option 7/8)
<result>C</result> | C | calc |
aqua_rat__kEmCIQVu5oxrF6vZ | A sum of Rs. 2500 amounts to Rs. 3500 in 4 years at the rate of simple interest. What is the rate of interest?
Choose the correct choice from the following answers:
A) 7%
B) 9%
C) 5%
D) 6%
E) 10% | S.I. = (3500- 2500) = Rs. 1000 Rate = (100 * 1000) / (2500* 4)=
<gadget id="calculator">(100 * 1000) / (2500* 4)</gadget>
<output>10</output>
10% Answer: 10%
<result>E</result> | E | calc |
ape210k__00007828 | The fish farm stocked 896 fish fry last year, and the number of fish fry stocked this year is 329 less than twice that of last year. How many tails are stocking this year? | <gadget id="calculator">896 * 2</gadget>
<output>1_792</output>
<gadget id="calculator">1_792 - 329</gadget>
<output>1_463</output>
<result>1_463</result> | 1_463 | calc |
aqua_rat__mtH5hqOxBkDIoRqr | John makes $60 a week from his job. He earns a raise andnow makes $80 a week. What is the % increase? Choose the correct choice from the following:
A) 15%
B) 33.33%
C) 17.8%
D) 19%
E) 21% | Increase = (20/60)*100 = (1/3)*100 = 33.33%. 33.33%
<result>B</result> | B | calc |
ape210k__00559417 | If the height of a cuboid is increased by 3cm, it becomes a cube. At this time, the surface area is increased by 60cm**2 compared to the original one. What is the volume of the original cuboid in cm**3? | <gadget id="calculator">60 / 3 / 4</gadget>
<output>5</output>
<gadget id="calculator">5 - 3</gadget>
<output>2</output>
<gadget id="calculator">5 * 5 * 2</gadget>
<output>50</output>
<result>50</result> | 50 | calc |
ape210k__00027043 | The power supply bureau originally had a bundle of wires 18.5 meters long, but the master worker used 0.81 meters for the first time, and 2.19 meters for the second time. How many meters are the wires shorter than before? | <gadget id="calculator">0.81 + 2.19</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
aqua_rat__HZoY9jSfxx5GNDen | If n = 6p, where p is a prime number greater than 2, how many different positiveevendivisors does n have, including n ? Choose the correct choice from the following answers.
A) Two
B) Three
C) Four
D) Six
E) Eight | This is an interesting question because we are immediately given the option to insert any prime number we wish for p. Since this is a problem-solving question, and there can only be one correct answer, we can select any value for p, as long as it is a prime number greater than 2. We always want to work with small numbe... | E | calc |
ape210k__00275765 | A cuboid with a length of 10 cm, a width of 8 cm, and a height of 7 cm is painted red on the surface and then sawn into small cubes of 1 cubic centimeter. How many small cubes are there that have at least one surface painted with red? | <gadget id="calculator">10 * 8 * 7</gadget>
<output>560</output>
<gadget id="calculator">10 - 2</gadget>
<output>8</output>
<gadget id="calculator">8 - 2</gadget>
<output>6</output>
<gadget id="calculator">7 - 2</gadget>
<output>5</output>
<gadget id="calculator">8 * 6 * 5</gadget>
<output>240</output>
<gadget id=... | 320 | calc |
ape210k__00407861 | workshop processed garments, completed 49% of the full-month plan in the first half of the month, and completed 488 pieces in the second half of the month, exceeding 10% of the original plan. How many garments do you plan to process? | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">49 / 100</gadget>
<output>49/100 = around 0.49</output>
<gadget id="calculator">(1/10) - (49/100)</gadget>
<output>-39/100 = around -0.39</output>
<gadget id="calculator">1 + (-39/100)</gadget>
<output>61/100 = aroun... | 800 | calc |
ape210k__00572935 | A total of 52 students in the fourth grade participated in tree planting. Boys planted 3 trees each, and girls planted 2 trees. It is known that boys have 36 more trees than girls. How many boys are there? | <gadget id="calculator">104 + 36</gadget>
<output>140</output>
<gadget id="calculator">3 + 2</gadget>
<output>5</output>
<gadget id="calculator">140 / 5</gadget>
<output>28</output>
<result>28</result> | 28 | calc |
ape210k__00127831 | A total of 38 students are competing on 12 table tennis tables. How many table tennis tables are there for singles? | <gadget id="calculator">12 * 4</gadget>
<output>48</output>
<gadget id="calculator">48 - 38</gadget>
<output>10</output>
<gadget id="calculator">4 - 2</gadget>
<output>2</output>
<gadget id="calculator">10 / 2</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
ape210k__00802463 | In 1990, the per capita disposable income of urban residents in my country was 93.8% lower than that in 2011. What is the per capita disposable income of urban residents in my country in 1990 as in 2011? | <gadget id="calculator">93.8 / 100</gadget>
<output>0.938</output>
<gadget id="calculator">1 - 0.938</gadget>
<output>0.062</output>
<result>0.062</result> | 0.062 | calc |
aqua_rat__Sco2g0Mb8G1n5fI2 | If a man lost 4% by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44%? Choose the correct choice from the following answers: A) 5 B) 8 C) 9 D) 5 E) 1 | 96% ---- 12 144% ---- ? 96/144 * 12=
<gadget id="calculator"> 96/144 * 12</gadget>
<output>8</output>
8 Answer: 8
<result>B</result> | B | calc |
math_qa__B6XTd8WSedeJaac6 | The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 20 are excluded, the average mark of the remaining will be 95. Find the number of students who wrote the exam. Pick.
A) 15 B) 45 C) 35 D) 25 E) 55 | <gadget id="calculator">95 * 5</gadget>
<output>475</output>
<gadget id="calculator">5 * 20</gadget>
<output>100</output>
<gadget id="calculator">475 - 100</gadget>
<output>375</output>
<gadget id="calculator">95 - 80</gadget>
<output>15</output>
<gadget id="calculator">375 / 15</gadget>
<output>25</output>
<resul... | D | calc |
ape210k__00359833 | The commercial score of 7/13 is: how much. | <gadget id="calculator">7 / 13</gadget>
<output>7/13 = around 0.538462</output>
<result>7/13 = around 0.538462</result> | 7/13 | calc |
aqua_rat__02OAFodKdp3GioEm | There are 10000 families, having 4 children for each family. In how many families 2 daughters are probable. Choose the correct answer:
A) 625
B) 529
C) 425
D) 354
E) 725 | Probability to have 2 daughter = 1/2^4 = 1/16 so answer = 10000*1/16=
<gadget id="calculator">10000*1/16</gadget>
<output>625</output>
625 625NSWER:625
<result>A</result> | A | calc |
ape210k__00629015 | On a map with a scale of 1:15000, it is measured that the length of a rectangular building is 6 cm and the width is 4 cm. What is the actual area of the playground in square meters? | <gadget id="calculator">1 / 15_000</gadget>
<output>1/15_000 = around 0.000067</output>
<gadget id="calculator">6 / (1/15_000) / 100</gadget>
<output>900</output>
<gadget id="calculator">4 / (1/15_000) / 100</gadget>
<output>600</output>
<gadget id="calculator">900 * 600</gadget>
<output>540_000</output>
<result>54... | 540_000 | calc |
ape210k__00934839 | The weight of a panda is 80 kg, and the weight of an elephant is 4 tons. How much heavier is an elephant than a panda? | <gadget id="calculator">4 * 1_000</gadget>
<output>4_000</output>
<gadget id="calculator">4_000 - 80</gadget>
<output>3_920</output>
<result>3_920</result> | 3_920 | calc |
aqua_rat__xjGJI9NpKEFtkZ2G | On a map, 7 centimeters represents 35 kilometers. Two cities 245 kilometers apart would be separated on the map by how many centimeters? Choose the correct choice:
A) 15
B) 37
C) 49
D) 110
E) 180 | 1 centimeter represents 5 kilometers ( 35/7 ) X=245/5=
<gadget id="calculator">245/5</gadget>
<output>49</output>
49 Answer: 49
<result>C</result> | C | calc |
aqua_rat__Nl4w9UK7D0ussbkN | If the mean of weight of students in a class of weight 38, 50, 70, 88 and 110 is 71.5 kg, what is the mean of the class if student of weight 50 kg left the class i.e state whether what will happen to original mean value ? Choose the correct choice from the following options
A) increase B) decrease C) remains unchang... | Given mean of class = M1 = 71.5 kg Mean = (Sum of all weights in class)/(no. students) M2 = (38+70+88+110)/(4)=
<gadget id="calculator">(38+70+88+110)/(4)</gadget>
<output>153/2 = around 76.5</output>
76.5 kg since, M1 < M2 increasenswer=increase
<result>A</result> | A | calc |
aqua_rat__mAKfdRGtwLNtZX5C | Today Mary’s father is four times as old as Mary. Ten years ago, he was 14 times as old. How old is Mary today? Pick one.
A) 7
B) 9
C) 11
D) 13
E) 15 | 13ad's age = 4M 14*(M-10) = 4M-10 10M = 130 M = 13 The answer is 13.
<result>D</result> | D | calc |
ape210k__00236056 | If two squares with a perimeter of 8 cm are put together to form a rectangle, what is the area of the rectangle in square centimetres? | <gadget id="calculator">8 / 4</gadget>
<output>2</output>
<gadget id="calculator">2 + 2</gadget>
<output>4</output>
<gadget id="calculator">4 * 2</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__00544933 | When Xiao Ming calculates (4/7)*(□+(2/3)), it becomes (4/7)*□+(2/3), how much is the difference between the calculation result and the correct answer. | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">8 / 21</gadget>
<output>8/21 = around 0.380952</output>
<gadget id="calculator">(2/3) - (8/21)</gadget>
<output>2/7 = around 0.285714</output>
<result>2/7 = around 0.285714</result> | 2/7 | calc |
ape210k__00327911 | Four classes of students in the fourth and fifth grades of Experimental Primary School participated in the "Love My Hometown, Green Hometown" activity. 45 trees are planted in each class of the fifth grade, and 35 trees are planted in each class of the fourth grade. How many trees did the two grades plant in total? | <gadget id="calculator">45 * 4</gadget>
<output>180</output>
<gadget id="calculator">35 * 4</gadget>
<output>140</output>
<gadget id="calculator">180 + 140</gadget>
<output>320</output>
<result>320</result> | 320 | calc |
aqua_rat__rIBCp0oxF6YINiVp | Anand and Deepak started a business investing Rs. 25,000 and Rs. 35,000 respectively. Out of a total profit of Rs. 13,800, Deepak's share is? Choose the most appropriate option.
A) 2777 B) 2888 C) 8050 D) 2882 E) 2781 | Ratio of their shares = 25000 : 35000 = 5:7 Deepak's share = 13800 * 7/12 = Rs. 8050. Answer: 8050
<result>C</result> | C | calc |
ape210k__00351039 | A basketball is 125 yuan, and the school needs to buy 9 basketballs. How much will it cost in total? | <gadget id="calculator">125 * 9</gadget>
<output>1_125</output>
<result>1_125</result> | 1_125 | calc |
ape210k__01170969 | Solve the equation: x+(5/7)=(3/5). | <gadget id="calculator">4 / 21</gadget>
<output>4/21 = around 0.190476</output>
<result>4/21 = around 0.190476</result> | 4/21 | calc |
ape210k__00135978 | It is known that the radius of the large circle is (5/4) the radius of the small circle. How much is the area of the large circle larger than the area of the small circle? (fill in a fraction) | <gadget id="calculator">9 / 16</gadget>
<output>9/16 = around 0.5625</output>
<result>9/16 = around 0.5625</result> | 9/16 | calc |
ape210k__00331905 | Two typists work together to type a manuscript. A typed 60 characters per minute, and B typed 65 characters per minute. Now they have typed 500 characters, and they can complete the task by typing another 16 points. How many words are there in this manuscript? | <gadget id="calculator">60 + 65</gadget>
<output>125</output>
<gadget id="calculator">125 * 16</gadget>
<output>2_000</output>
<gadget id="calculator">500 + 2_000</gadget>
<output>2_500</output>
<result>2_500</result> | 2_500 | calc |
math_qa__npZz4q82KfsSGbDA | Evaluate: 30 - |-x + 6| for x = 10 Choose one.
A) 16 B) 26 C) 36 D) 46 E) 56 | <gadget id="calculator">-10</gadget>
<output>-10</output>
<gadget id="calculator">(-10) + 6</gadget>
<output>-4</output>
<gadget id="calculator">-(-4)</gadget>
<output>4</output>
<gadget id="calculator">30 - 4</gadget>
<output>26</output>
<result>B</result> | B | calc |
ape210k__00490423 | The sum of three consecutive even numbers is 42, what is the middle even number? | <gadget id="calculator">42 / 3</gadget>
<output>14</output>
<result>14</result> | 14 | calc |
ape210k__00321688 | The top of a table is square, and the perimeter of the top is (16/5) meters. What is the side length in meters? | <gadget id="calculator">16 / 5</gadget>
<output>16/5 = around 3.2</output>
<gadget id="calculator">(16/5) / 4</gadget>
<output>4/5 = around 0.8</output>
<result>4/5 = around 0.8</result> | 4/5 | calc |
ape210k__00392797 | There is a square handkerchief with a side length of 15 centimeters. It is necessary to embroider lace around it. What is the length of the lace in centimeters? | <gadget id="calculator">15 * 4</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
ape210k__00658811 | Divide the 3 decimeter long line segment into 6 parts on average, how long is each part? | <gadget id="calculator">3 / 6</gadget>
<output>1/2 = around 0.5</output>
<result>1/2 = around 0.5</result> | 1/2 | calc |
ape210k__00290902 | Bright Chicken Farm raised 2,400 chickens this year, an increase of (1/5) compared to last year. How many chickens were raised last year? | <gadget id="calculator">1 / 5</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">2_400 / (6/5)</gadget>
<output>2_000</output>
<result>2_000</result> | 2_000 | calc |
ape210k__00343199 | Two cars, A and B, drive from A to B at the same time. When A travels 50% of the journey, B travels 54 kilometers away from A. When A arrives at B, B travels 80% of the journey. How many miles is the distance between A and B? | <gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(4/5) / 2</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">54 / (2/5)</gadget>
<output>135</output>
<result>135</result> | 135 | calc |
math_qa__UAtyRQ2jZ0UUby8C | The perimeter of an equilateral triangle is 60. If one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 50, then how long is the base of isosceles triangle? Choose the correct choice from the following.
A) 5 B) 10 C) 15 D) 20 E) 25 | <gadget id="calculator">60 / 3</gadget>
<output>20</output>
<gadget id="calculator">50 - 20</gadget>
<output>30</output>
<gadget id="calculator">30 - 20</gadget>
<output>10</output>
<result>B</result> | B | calc |
aqua_rat__hXpXrc09oQ7GiLoY | Solution X is 10 percent alcohol by volume, and solution Y is 30 percent alcohol by volume. How many milliliters of solution Y must be added to 150 milliliters of solution X to create a solution that is 25 percent alcohol by volume?
Pick one.
A) 250/3 B) 500/3 C) 400 D) 450 E) 600 | we know that X is 10% , Y is 30% and W.Avg = 25% . what does this mean with respect to W.Avg technique ? W.Avg is 1 portion away from Y and 3 portion away from X so for every 1 portion of X we will have to add 3 portions of Y. If X = 150 then Y = 450 ANSWER:450
<result>D</result> | D | calc |
ape210k__01162431 | Congcong’s family has 5 photo albums, each of which has 32 pages, and each page can contain 6 photos. How many photos can these 5 photo albums hold at most? | <gadget id="calculator">32 * 6 * 5</gadget>
<output>960</output>
<result>960</result> | 960 | calc |
aqua_rat__ul5RYsgG2Qbnkaj8 | Two numbers are in the ratio of 1 : 2. If 6 be added to both, their ratio changes to 3 : 5. The greater number is Choose the correct choice: A) 20 B) 24 C) 28 D) 32 E) 36 | Let the ratio be X : Y, Given X/Y = 1/2 , (X + 6)/(Y + 6) = 3/5 => X = 12 And Y = 24 ANSWER:24
<result>B</result> | B | calc |
ape210k__00773183 | Guanghui Primary School used 117 tons of water in August, and saved (1/9) in September compared to August. How many tons of water was used in September? | <gadget id="calculator">1 / 9</gadget>
<output>1/9 = around 0.111111</output>
<gadget id="calculator">1 - (1/9)</gadget>
<output>8/9 = around 0.888889</output>
<gadget id="calculator">117 * (8/9)</gadget>
<output>104</output>
<result>104</result> | 104 | calc |
ape210k__00415744 | A road construction team is paving a section of Jiangsha Highway, working 3.5 hours in the morning, paving 165 meters, and working 4.5 hours in the afternoon, paving 208 meters. How many meters does the road construction team pave on average per hour? | <gadget id="calculator">165 + 208</gadget>
<output>373</output>
<gadget id="calculator">3.5 + 4.5</gadget>
<output>8</output>
<gadget id="calculator">373 / 8</gadget>
<output>373/8 = around 46.625</output>
<result>373/8 = around 46.625</result> | 373/8 | calc |
aqua_rat__Mxcx0EkyneQfiyoh | A boat can move upstream at 32 kmph and downstream at 30 kmph, then the speed of the current is? Choices:
A) 5 B) 9 C) 1 D) 9 E) 5 | US = 32 DS = 30 M = (32 - 30)/2=
<gadget id="calculator">(32 - 30)/2</gadget>
<output>1</output>
1 Answer: 1
<result>C</result> | C | calc |
ape210k__00154537 | If (1/3)<(2/(()))<(7/8), how many different integers can be filled in the brackets. | <gadget id="calculator">3 / 1</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
aqua_rat__POMZWOApBZFoS1Dc | The ratio between the speeds of two trains is 7 : 8. If the second train runs 400 km in 4 hours, then the speed of the first train is:
A.
B.
C.
D.
Answer: Option D
Explanation: Choose the correct choice from the following
A) 70 km/hr B) 75 km/hr C) 87.5 km/hr D) 84 km/hr E) 75.6 km/hr | Let the speed of two trains be 7x and 8x km/hr. Then, 8x = 400/4=
<gadget id="calculator">400/4</gadget>
<output>100</output>
100 x= 100/8=
<gadget id="calculator">100/8</gadget>
<output>25/2 = around 12.5</output>
12.5 8 Speed of first train= (7 x 12.5) km/hr = 87.5 km/hr. answer :87.5 km/hr
<result>C</resul... | C | calc |
math_qa__tu6Yk8nU5Sh07jMl | In a theater, the first row has 14 seats and each row has 2 more seats than previous row. If the last row has 56 seats, what is the total number of seats in the theater?
Choose one: A) 770 B) 780 C) 790 D) 800 E) 810 | <gadget id="calculator">14 + 56</gadget>
<output>70</output>
<gadget id="calculator">70 / 2</gadget>
<output>35</output>
<gadget id="calculator">56 - 14</gadget>
<output>42</output>
<gadget id="calculator">42 + 2</gadget>
<output>44</output>
<gadget id="calculator">44 / 2</gadget>
<output>22</output>
<gadget id="c... | A | calc |
ape210k__00070693 | There are 35 sixth-grade students in Yonghong primary school who participated in extracurricular activities in the biology group, and those who participated in the microcomputer group were from the biology group (4/5) and from the art group (7/8). How many people are there in the art group? | <gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">7 / 8</gadget>
<output>7/8 = around 0.875</output>
<gadget id="calculator">(4/5) / (7/8)</gadget>
<output>32/35 = around 0.914286</output>
<gadget id="calculator">35 * (32/35)</gadget>
<output>32</output>
<result>32</re... | 32 | calc |
aqua_rat__s2yUTroWQGWvYNYx | A crate of mangoes contains one bruised mango for every thirty mango in the crate. If three out of every four bruised mango are considerably unsaleble and there are 15 unsaleable mangoes in the crate then how msny mango are there in the crate? Select:
A) 100 mangoes B) 110 mangoes C) 120 mangoes D) 150 mangoes E) 1... | 150 mangoes ANSWER:150 mangoes
<result>D</result> | D | calc |
ape210k__00597293 | If you deposit 50,000 yuan a year in the bank on a regular basis, what is the total amount of interest and principal after maturity? (Fixed for one year, the annual interest rate is 3.5%.) | <gadget id="calculator">5 * 10_000</gadget>
<output>50_000</output>
<gadget id="calculator">3.5 / 100</gadget>
<output>0.035</output>
<gadget id="calculator">50_000 * 0.035 * 1</gadget>
<output>1_750</output>
<gadget id="calculator">50_000 + 1_750</gadget>
<output>51_750</output>
<result>51_750</result> | 51_750 | calc |
ape210k__00775329 | The number of absentees in a workshop in the morning is 1/7 of the number of attendances, and one person asks for leave to go home in the afternoon, so the number of attendances is 6 times the number of absentees. How many people are there in this workshop? | <gadget id="calculator">6 + 1</gadget>
<output>7</output>
<gadget id="calculator">7 - 6</gadget>
<output>1</output>
<gadget id="calculator">7 / 1</gadget>
<output>7</output>
<gadget id="calculator">7 * 7</gadget>
<output>49</output>
<gadget id="calculator">7 + 49</gadget>
<output>56</output>
<result>56</result> | 56 | calc |
ape210k__00024444 | Take (1/4) tablet of a kind of tablet each time, 3 times a day, and there are 24 tablets in a box, how many days can you take this box of medicine in total? | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/4) * 3</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">24 / (3/4)</gadget>
<output>32</output>
<result>32</result> | 32 | calc |
ape210k__00552914 | 35/how much=((())/28)=(15/(()))=(5/(()))=1.25. | <result>28</result> | 28 | calc |
aqua_rat__Z4xztOEwcdj79U4n | The area of a triangle is with base 3m and height 4m? Choose the correct choice from the following choices:
A) 4 m2 B) 6 m2 C) 18 m2 D) 19 m2 E) 12 m2 | 1/2 * 3 * 4=
<gadget id="calculator">1/2 * 3 * 4</gadget>
<output>6</output>
6 m2 Answer: 6 m2
<result>B</result> | B | calc |
aqua_rat__TRZFdd8M4APki97c | A certain sum is invested at simple interest at 15% p.a. for two years instead of investing at 10% p.a. for the same time period. Therefore the interest received is more by Rs. 840. Find the sum? Choose the correct answer
A) s. 8400 B) s. 9000 C) s. 14000 D) s. 17000 E) s. 27000 | Let the sum be Rs. x. (x * 15 * 2)/100 - (x * 10 * 2)/100 = 840 => 30x/100 - 20x/100 =840 => 10x/100 = 840 => x = 8400. s. 8400NSWER:s. 8400
<result>A</result> | A | calc |
ape210k__00480674 | Three percent of a number is 0.27, what is this number? | <gadget id="calculator">3 / 100</gadget>
<output>3/100 = around 0.03</output>
<gadget id="calculator">0.27 / (3/100)</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
ape210k__00496059 | There are 52 yellow flowers, and the number of yellow flowers is 80% of that of safflowers. How many safflowers are there? | <gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">52 / (4/5)</gadget>
<output>65</output>
<result>65</result> | 65 | calc |
ape210k__01199319 | There are 100 geese in the farm, which is the number of ducks (1/4), and the number of ducks is the number of chickens (4/9), how many chickens are kept. | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">4 / 9</gadget>
<output>4/9 = around 0.444444</output>
<gadget id="calculator">100 / (1/4) / (4/9)</gadget>
<output>900</output>
<result>900</result> | 900 | calc |
aqua_rat__KV7IRHgSYuQxlAmP | A group of medical interns at Bohemus Medical School want to go on dates. There are 6 girls and 6 guys. Assuming girls go on dates with guys, how many possible ways can these 12 medical interns date each other? Choose the correct answer: A) A)320 B) B)420 C) C)520 D) D)620 E) E)720 | 1st girl can go with 6 guys 2nd girl can go with remaining 5 3rd girl can go with remaining 4 and so on so the total ways are 6!= 720 720 should be the answer
<result>E</result> | E | calc |
aqua_rat__xEPGtB3EnORVawPt | A, B and C invested Rs.6300, Rs.4200 and Rs.10500 respectively, in a partnership business. Find the share of A in profit of Rs.12300 after a year? Choose the most appropriate option.
A) 3630
B) 3690
C) 2887
D) 9977
E) 2212 | 6300:4200:10500 3:2:5 3/10 * 12300=
<gadget id="calculator">3/10 * 12300</gadget>
<output>3_690</output>
3690.Answer: 3690
<result>B</result> | B | calc |
ape210k__01114935 | 15 small goldfishes are placed in a rectangular parallelepiped container whose bottom is 12cm long and 10cm wide, and the water level rises by 1cm. What is the average volume of each of these small goldfishes? | <gadget id="calculator">12 * 10 * 1</gadget>
<output>120</output>
<gadget id="calculator">120 / 15</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
aqua_rat__1UQ5X0Z4g06SYpGb | Rectangular tile each of size 60cm by 56cm must be laid horizontally on a rectangular floor of size 560cm by 240cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. N... | Area of tile = 60*56=
<gadget id="calculator">60*56</gadget>
<output>3_360</output>
3360 Area of floor= 560*240=
<gadget id="calculator">560*240</gadget>
<output>134_400</output>
134400 No of tiles= 134400/3360=
<gadget id="calculator">134400/3360</gadget>
<output>40</output>
40 So, the no of tile= 40 ANSWER... | D | calc |
ape210k__00262200 | If the numerator of the fraction ((a)/(b)) is tripled and the denominator is doubled, how many times will the resulting fraction be larger than ((a)/(b)) | <gadget id="calculator">3 * 2</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
math_qa__IXce4a3XeiKVRvDA | If each participant of a chess tournament plays exactly one game with each of the remaining participants, then 231 games will be played during the tournament. What is the number of participants?
Choose the correct choice from the following
A) 16 B) 18 C) 20 D) 22 E) 24 | <gadget id="calculator">231 * 2</gadget>
<output>462</output>
<gadget id="calculator">462 * 4</gadget>
<output>1_848</output>
<gadget id="calculator">1_848 + 1</gadget>
<output>1_849</output>
<gadget id="calculator">1_849 ** (1/2)</gadget>
<output>43</output>
<gadget id="calculator">43 + 1</gadget>
<output>44</outp... | D | calc |
aqua_rat__AFFkCJRqqRHkA6Pg | The digit sum of the year 2007 is 2 + 0 + 0 + 7 = 9, which is a square number. How many years during the twenty-first century have a square digital sum? Choose the correct choice: A) 13 B) 14 C) 15 D) 16 E) 17 | The twenty-first century runs from the year 2001 to 2100 inclusive, so with the exception of the year 2100, for which the digital sum is three anyway, the first two digits of all the other years are fixed as 20. Hence for the sum of all the digits to be square the sum of the last two digits number be two less tha... | D | calc |
aqua_rat__ygkeYBV7iWFiaY1I | If x = 3^9 and x^x = 3^k, what is k? Choose the correct choice from the following choices:
A) 3^11
B) 3^13
C) 3^25
D) 3^27
E) 3^81 | Solution: We know that x=3^9 which implies x^x = (3^9)^(3^9) = 3^(9 * 3^9) [because (x^y)^z = x^(y*z))] so 3^(3^2 * 3^9) = 3^(3^(2+9)) [because x^a * x^b = x^(a+b)] therefore x^x = 3^(3^11) Given that x^x=3^k so 3^(3^11) = 3^k Since the base is same the exponent will also be same therefore k = 3^11 3^... | A | calc |
ape210k__00667867 | The actual production value of a factory is 120% of the plan, how much is the actual overproduction | <gadget id="calculator">120 / 100</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">(6/5) - 1</gadget>
<output>1/5 = around 0.2</output>
<result>1/5 = around 0.2</result> | 1/5 | calc |
ape210k__00280173 | If a person travels 15 kilometers per hour from point A to point B, he can arrive 24 minutes early, but if he travels 12 kilometers per hour, he will arrive 15 minutes late. How much time was originally stipulated? | <gadget id="calculator">15 * 0.4</gadget>
<output>6</output>
<gadget id="calculator">12 * 0.25</gadget>
<output>3</output>
<gadget id="calculator">6 + 3</gadget>
<output>9</output>
<gadget id="calculator">15 - 12</gadget>
<output>3</output>
<gadget id="calculator">9 / 3</gadget>
<output>3</output>
<result>3</resul... | 3 | calc |
ape210k__00226306 | Class 4 and Class 3 line up to do exercises. If there are 6 teams, there are 6 people in each team. If there are 4 teams, how many people are in each team? | <gadget id="calculator">6 / 4</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">6 * (3/2)</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
ape210k__00850481 | Processing a batch of parts can be completed in 15 days by cooperation between A and B. Now A will do it for 10 days first, and then B will do it for 12 days. The rest (1/4) of this batch of parts has not been completed. It is known that A is more than B every day. If 5 parts are processed less, find the number of this... | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 / 15</gadget>
<output>1/15 = around 0.066667</output>
<gadget id="calculator">(1/15) * 10</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">1 - (1/4) - (2/3)</gadget>
<output>1/12 = around 0.0833... | 300 | calc |
aqua_rat__RttHjJ9187oqkVP2 | What least value must be assigned to * so that th number 197*5462 is divisible by 9? Choose the correct answer: A) 2 B) 4 C) 6 D) 1 E) 3 | Let the missing digit be x Sum of digits = (1+9+7+x+5+4+6+2)=34+x For 34+x to be divisible by 9 , x must be replaced by 2 The digit in place of x must be 2. 2NSWER 2 2(1+9+7+ +5+4+6+2)=
<gadget id="calculator">(1+9+7+ +5+4+6+2)</gadget>
<output>34</output>
34+x For 34+x to be divisible by 9 , x must be repla... | A | calc |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.