id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00493448 | Known a series of numbers: 5, 4, 3, 7, 1, 2, 5, 4, 3, 7, 1, 2, 5, 4, 3, 7, 1, 2, 5, 4, ... can be deduced from this What is the 2010th number? | <result>2</result> | 2 | calc |
ape210k__00510771 | The distance between A and B is 600 kilometers. A high-speed train travels from A to B. After 2.6 hours, it is still 80 kilometers away from B. How many kilometers does this train travel per hour? | <gadget id="calculator">600 - 80</gadget>
<output>520</output>
<gadget id="calculator">520 / 2.6</gadget>
<output>200</output>
<result>200</result> | 200 | calc |
ape210k__00500816 | Teacher Li is going to use 200 yuan to buy prizes for the students. He spent 112.5 yuan on the stationery box, and the rest of the money is used to buy notebooks. Each notebook is 2.5 yuan. How many more notebooks can he buy? | <gadget id="calculator">200 - 112.5</gadget>
<output>87.5</output>
<gadget id="calculator">87.5 / 2.5</gadget>
<output>35</output>
<result>35</result> | 35 | calc |
ape210k__00630800 | A, B, and C go from A to B at the same time. When A arrives at B 10 minutes earlier than B, and when B arrives at B 10 minutes earlier than C, it is known that A travels 3 kilometers longer than B per hour, and B travels longer than C. 2 kilometers, what is the distance between the two places? | <gadget id="calculator">6 - 5</gadget>
<output>1</output>
<gadget id="calculator">2 / 1</gadget>
<output>2</output>
<gadget id="calculator">2 * 5 * 1</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
aqua_rat__ro6oE9vMsXDX5eu8 | Two trains of equal are running on parallel lines in the same direction at 45 km/hr and 36 km/hr. The faster train passes the slower train in 36 sec. The length of each train is? Choose one.
A) 45
B) 88
C) 66
D) 55
E) 22 | Let the length of each train be x m. Then, distance covered = 2x m. Relative speed = 45 - 36=
<gadget id="calculator">45 - 36</gadget>
<output>9</output>
9 km/hr.= 9 * 5/18 = 5/2m/sec. 2x/36 = 5/2 => x = 45. 45nswer:45
<result>A</result> | A | calc |
ape210k__00191497 | If the former term of a ratio is reduced to (1/2) times and the latter term is enlarged by 4 times, how many times will the ratio be reduced | <gadget id="calculator">16 / 2</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__00452535 | Xiaoli reads a book. She reads the whole book (4/7) in the first week, and reads 72 pages in the second week. At this time, the ratio of the number of pages read to the number of pages in the book is 4:5. This book has how many pages | <gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">4 / 7</gadget>
<output>4/7 = around 0.571429</output>
<gadget id="calculator">(4/5) - (4/7)</gadget>
<output>8/35 = around 0.228571</output>
<gadget id="calculator">72 / (8/35)</gadget>
<output>315</output>
<result>315<... | 315 | calc |
ape210k__00337862 | Xiaohong is a years old this year, Xiaoli is 5 years younger than Xiaohong, how old will Xiaoli be in 10 years. | <gadget id="calculator">(-5) + 10</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
ape210k__00268126 | It takes 4 pieces of colored paper to make a paper flower, how many paper flowers can be made from 480 pieces of colored paper | <gadget id="calculator">480 / 4</gadget>
<output>120</output>
<result>120</result> | 120 | calc |
ape210k__00082509 | In class 602 yesterday, 1 person asked for leave due to something, and 2 people were sick and did not attend school. There were 57 people who attended school. Find yesterday's attendance rate. | <gadget id="calculator">1 + 2 + 57</gadget>
<output>60</output>
<gadget id="calculator">57 / 60</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</r... | 19/20 | calc |
ape210k__00445600 | Hongxing Primary School has 6 grades, each grade has 4 classes, with an average of 50 students in each class. How many students are there in the whole school? | <gadget id="calculator">6 * 4 * 50</gadget>
<output>1_200</output>
<result>1_200</result> | 1_200 | calc |
ape210k__00153936 | Divide the six scores (13/210), (1/14), (5/28), (4/21), (1/12), (1/5) into three groups so that the two scores of each group and are equal, then what is the fraction in the same group as (1/5)? | <gadget id="calculator">13 / 210</gadget>
<output>13/210 = around 0.061905</output>
<result>13/210 = around 0.061905</result> | 13/210 | calc |
aqua_rat__4Dxi7eNW1ULaybpy | What is the remainder of W=3^19 when divided by 10? Select.
A) 0 B) 1 C) 5 D) 7 E) 9 | I looked for patterns: ^2 - units digit 9 ^3 - units digit 7 ^4 - units digit 1 ^5 - units digit 3 hence, we can see that when raised to a power which is multiple of 4, the units digit is 1, and when to an even power not multiple of 4, the units digit is 9 and we can then see: ^16 - units digit 1, or ^1... | D | calc |
aqua_rat__YIj0UjcES9gBlSLG | What is the difference between the largest and the smallest number written with 7, 7, 0, 7?
Choose the correct choice from the following choices
A) 6893
B) 6993
C) 6093
D) 693
E) None | 7770 7077 ------------- 693 ANSWER:693
<result>D</result> | D | calc |
ape210k__00971909 | The fruit store shipped in 500 kg of watermelons, and sold them on the first day (3/4). How many kilograms of watermelons are left in the fruit store? | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">1 - (3/4)</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">500 * (1/4)</gadget>
<output>125</output>
<result>125</result> | 125 | calc |
aqua_rat__ZdWZG8a85bOxffKO | A man walks at a speed of 3 km/hr and runs at a speed of 7 km/hr. How much time will the man require to cover a distance of 10 1/2 km, if he completes half of the distance, i.e., (5 1/4) km on foot and the other half by running?
Answers.
A) 2 1/9 B) 2 1/6 C) 2 1/2 D) 2 1/1 E) 6 1/2 | Required time = (5 1/4)/3 + (5 1/4)/7 = 2 1/2 hours.Answer:6 1/2
<result>E</result> | E | calc |
aqua_rat__CYE60z82LQlTpHqW | My grandson is about as many days as my son in weeks, and my grandson is as many months as I am in years. My grandson, my son and I together are 100 years. Can you tell my grandson age in years?
Choose the most appropriate option: A) 50 years B) 20 years C) 5 years D) 10 years E) 90 years | Let m be my age in years. If s is my son's age in years, then my son is 52s weeks old. If g is my grandson's age in years, then my grandson is 365g days old. Thus,
365g = 52s.
Since my grandson is 12g months old,
12g = m.
Since my grandson, my son and I together are 120 years,
g + s + m = 100.
The above system of 3 equ... | C | calc |
ape210k__00245785 | (8/9)*((3/4)-((7/16)-0.25)). | <gadget id="calculator">8 / 9</gadget>
<output>8/9 = around 0.888889</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">7 / 16</gadget>
<output>7/16 = around 0.4375</output>
<gadget id="calculator">(7/16) - 0.25</gadget>
<output>0.1875</output>
<gadget id="cal... | 0.5 | calc |
ape210k__00162890 | A car has transported a pile of apples (2/7) 4 times. According to this calculation, how much of this pile of apples is transported in one time | <gadget id="calculator">2 / 7</gadget>
<output>2/7 = around 0.285714</output>
<gadget id="calculator">(2/7) / 4</gadget>
<output>1/14 = around 0.071429</output>
<result>1/14 = around 0.071429</result> | 1/14 | calc |
ape210k__00155824 | A tram departs from the tram terminal at regular intervals. A and B walk in the same direction on the same street. A walks 82 meters per minute and meets an oncoming tram every 10 minutes; B walks 60 meters per minute and meets an oncoming tram every 10 minutes and 15 seconds. Get on an oncoming tram. Then the tram ter... | <gadget id="calculator">10 + 1</gadget>
<output>11</output>
<result>11</result> | 11 | calc |
ape210k__00948485 | There are 98 boys and 112 girls in the fifth grade of Hongxing Primary School. The number of students in the fourth grade is less than that in the fifth grade (2/7). How many students are there in the fourth grade? | <gadget id="calculator">98 + 112</gadget>
<output>210</output>
<gadget id="calculator">2 / 7</gadget>
<output>2/7 = around 0.285714</output>
<gadget id="calculator">1 - (2/7)</gadget>
<output>5/7 = around 0.714286</output>
<gadget id="calculator">210 * (5/7)</gadget>
<output>150</output>
<result>150</result> | 150 | calc |
ape210k__00536167 | Calculation: (-(9/4))*((-2)**3+(8/9)-((2/3))**2). | <gadget id="calculator">9 / 4</gadget>
<output>9/4 = around 2.25</output>
<gadget id="calculator">-(9/4)</gadget>
<output>-9/4 = around -2.25</output>
<gadget id="calculator">(-2) ** 3</gadget>
<output>-8</output>
<gadget id="calculator">8 / 9</gadget>
<output>8/9 = around 0.888889</output>
<gadget id="calculator">... | 17 | calc |
gsm8k__8YWjwvvYgXw3bPTl | Mike and Ted planted tomatoes. In the morning, Mike planted 50 tomato seeds while Ted planted twice as much as Mike. In the afternoon, Mike planted 60 tomato seeds while Ted planted 20 fewer tomato seeds than Mike. How many tomato seeds did they plant altogether? | Ted planted 2 x 50 =
<gadget id="calculator">2*50</gadget>
<output>100</output>
100 tomato seeds.
So, Mike and Ted planted 50 + 100 =
<gadget id="calculator">50+100</gadget>
<output>150</output>
150 tomato seeds in the morning.
In the afternoon, Ted planted 60 - 20 =
<gadget id="calculator">60-20</gadget>
<output>40... | 250 | calc |
ape210k__00314724 | ((5/11)+(4/13))*11+8/13. | <gadget id="calculator">5 / 11</gadget>
<output>5/11 = around 0.454545</output>
<gadget id="calculator">4 / 13</gadget>
<output>4/13 = around 0.307692</output>
<gadget id="calculator">(5/11) + (4/13)</gadget>
<output>109/143 = around 0.762238</output>
<gadget id="calculator">(109/143) * 11</gadget>
<output>109/13 = ... | 9 | calc |
ape210k__01094015 | When the clock is at 6 o'clock, what is the angle between its hour and minute hands? | <gadget id="calculator">30 * 6</gadget>
<output>180</output>
<result>180</result> | 180 | calc |
aqua_rat__KwfjervcBsMRlIMP | What approximate value should come in place of question mark (?) in the following equation
287.532 + 1894.029 – 657.48 = 643.095 + ? Choices
A) 870 B) 790 C) 880 D) 770 E) 890 | ? = 285 + 1895 – 655 – 645 or, ? = 880 Answer 880
<result>C</result> | C | calc |
ape210k__00519192 | It takes 16 hours for a car to go from city A to city B, the speed is 78 km/h, and it takes 12 hours to return. Find the speed when returning. | <gadget id="calculator">78 / 12</gadget>
<output>13/2 = around 6.5</output>
<gadget id="calculator">16 * (13/2)</gadget>
<output>104</output>
<result>104</result> | 104 | calc |
ape210k__00917147 | The area of a triangle is 10 square decimeters, the height is 5 decimeters, what is the length of the base? | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">10 * (2/5)</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
ape210k__00548329 | When a number is divided by 7, the quotient and remainder are both 5. What is the number? | <gadget id="calculator">5 * 7</gadget>
<output>35</output>
<gadget id="calculator">35 + 5</gadget>
<output>40</output>
<result>40</result> | 40 | calc |
ape210k__00768519 | The road construction team built a road of 450 meters on the first day, and the road repaired on the second day was 1.2 times that of the first day. How many meters of road were built in two days? | <gadget id="calculator">450 * 1.2</gadget>
<output>540</output>
<gadget id="calculator">450 + 540</gadget>
<output>990</output>
<result>990</result> | 990 | calc |
ape210k__00375412 | A book, Xiao Ming read (2/5), just read 40 pages, how many pages in this book? | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">40 / (2/5)</gadget>
<output>100</output>
<result>100</result> | 100 | calc |
ape210k__00140392 | Among the following questions, what is the result greater than (7/9) | <result>1</result> | 1 | calc |
ape210k__00298300 | long (9/10) meter wire, cut off (1/10) of it for the first time, and (2/5) of it for the second time, what fraction of the total length is left? | <gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 - (1/10) - (2/5)</gadget>
<output>1/2 = around 0.5</output>
<result>1/2 = around 0.5</result> | 1/2 | calc |
ape210k__00632383 | The speed of a train is 110 kilometers per hour. After the speed is increased, it is faster than before (3/11). How many kilometers per hour does the train travel after the speed is increased? | <gadget id="calculator">3 / 11</gadget>
<output>3/11 = around 0.272727</output>
<gadget id="calculator">1 + (3/11)</gadget>
<output>14/11 = around 1.272727</output>
<gadget id="calculator">110 * (14/11)</gadget>
<output>140</output>
<result>140</result> | 140 | calc |
aqua_rat__1T3OWBq4ayUPejki | If 7<x<9<y<15, then what is the greatest possible positive integer difference of x and y? Choose the correct choice from the following answers: A) 7 B) 4 C) 5 D) 6 E) 3 | Let x=7.1 and y=14.1 Greatest possible difference=14.1-7.1=
<gadget id="calculator">14.1-7.1</gadget>
<output>7</output>
7 7nswer 7
<result>A</result> | A | calc |
aqua_rat__ijEEGKNw6YGggJJp | Tom purchased 8kg of apples at the rate of 70 per kg and 9 kg of mangoes at the rate of 45 per kg. How much amount did he pay to the shopkeeper? Pick: A) A)1040 B) B)1045 C) C)965 D) D)1060 E) E)1075 | Cost of 8 kg apples= 70 × 8 = 560. Cost of 9 kg of mangoes = 45 × 9 = 405. Total cost he has to pay = 560 + 405=
<gadget id="calculator">560 + 405</gadget>
<output>965</output>
965. 965)
<result>C</result> | C | calc |
aqua_rat__b3ft5LTGBPhO8FK1 | A can do a piece of work in 20 days and B can do it in 30 days and C can do it 10 days. They started the work together and A leaves after 2 days and C leaves after 4 days from the beginning. How long will work lost?
Choose the correct choice from the following
A) 13 B) 16 C) 25 D) 14 E) 15 | 2/20 + x/30 + 4/10 = 1 x = 300/20=
<gadget id="calculator">300/20</gadget>
<output>15</output>
15 Answer: 15
<result>E</result> | E | calc |
aqua_rat__E6i9Lz7Dkwihi06g | The length of the bridge, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is? Pick one: A) 276 m B) 167 m C) 245 metrs D) 167 m E) 178 m | Speed = [45 X 5/18] m/sec = [25/2] m/sec Time = 30 sec Let the length of bridge be x metres. Then, (130 + x)/30 = 25/2 => 2(130 + x) = 750 => x = 245 m. Answer:245 metrs
<result>C</result> | C | calc |
ape210k__00195112 | According to the ratio of 1:100 to prepare medicine water, how many grams of medicine should be put in 1050 grams of water. | <gadget id="calculator">1 / 100</gadget>
<output>1/100 = around 0.01</output>
<gadget id="calculator">(1/100) * 1_050</gadget>
<output>21/2 = around 10.5</output>
<result>21/2 = around 10.5</result> | 21/2 | calc |
aqua_rat__hwDd5pzkzDAJyBvY | Joshua and Jose work at an auto repair center with 2 other workers. For a survey on health care insurance, 2 of the 6 workers will be randomly chosen to be interviewed. What is the probability that Joshua and Jose will both be chosen? Choose the correct choice from the following answers:
A) 1/15 B) 1/12 C) 1/9 D) 1/6 E... | Two Methods 1) Probability of chosing Josh first = 1/4 Probability of chosing Jose second = 1/3 total = 1/12 Probability of chosing Jose first = 1/4 Probability of chosing Josh second = 1/3 Total = 1/12 Final = 1/12 + 1/12 = 1/6 1/6
<result>D</result> | D | calc |
ape210k__00493164 | After the length of a rectangle is shortened by 4 cm, its area is reduced by 16 cm2. If the remaining part is a square, what is the area of the original rectangle? | <gadget id="calculator">16 / 4</gadget>
<output>4</output>
<gadget id="calculator">4 + 4</gadget>
<output>8</output>
<gadget id="calculator">8 * 4</gadget>
<output>32</output>
<result>32</result> | 32 | calc |
ape210k__00801349 | The width and height of a cuboid are both 5 decimeters. If the length is subtracted by 3 decimeters, the cuboid becomes a cube. What is the surface area of the cuboid in square decimeters? | <gadget id="calculator">5 + 3</gadget>
<output>8</output>
<gadget id="calculator">8 * 5</gadget>
<output>40</output>
<gadget id="calculator">5 * 5</gadget>
<output>25</output>
<gadget id="calculator">40 + 40 + 25</gadget>
<output>105</output>
<gadget id="calculator">105 * 2</gadget>
<output>210</output>
<result>21... | 210 | calc |
aqua_rat__aXqvKmpuGJpkHNos | A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
Select: A) 1:2 B) 1:9 C) 1:1 D) 1:9 E) 3:2 | T = 192/32=
<gadget id="calculator">192/32</gadget>
<output>6</output>
6 h T= 6 - 3=
<gadget id="calculator">6 - 3</gadget>
<output>3</output>
3 Time Ratio= 6:3 = 2:1 Speed Ratio = 1:2 1:2nswer: 1:2
<result>A</result> | A | calc |
ape210k__00338588 | The school launched a charity donation activity. Class 61 donated 490 yuan, which was 1/6 more than Class 62. How much did Class 62 donate? | <gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">1 + (1/6)</gadget>
<output>7/6 = around 1.166667</output>
<gadget id="calculator">490 / (7/6)</gadget>
<output>420</output>
<result>420</result> | 420 | calc |
ape210k__00779865 | Two trains depart from A and B at the same time at the same time. The speed of train A is 120 km/h, and the speed of train B is 110 km/h. After 6 hours, the distance between them is still 30 km. How many kilometers is the distance between A and B? | <gadget id="calculator">120 * 6</gadget>
<output>720</output>
<gadget id="calculator">110 * 6</gadget>
<output>660</output>
<gadget id="calculator">720 + 660 + 30</gadget>
<output>1_410</output>
<result>1_410</result> | 1_410 | calc |
ape210k__01001051 | There are 6 family houses in Fangxin Community, each family building has 5 floors, and each floor can accommodate 12 households. How many households can live in this community? | <gadget id="calculator">5 * 6 * 12</gadget>
<output>360</output>
<result>360</result> | 360 | calc |
ape210k__00100685 | Calculation: ((2/3/7+4/6/14+14/21/49)/(4/7/9+8/14/18+28/49/63))=how much. | <gadget id="calculator">2 / 3 / 7</gadget>
<output>2/21 = around 0.095238</output>
<gadget id="calculator">4 / 6 / 14</gadget>
<output>1/21 = around 0.047619</output>
<gadget id="calculator">14 / 21 / 49</gadget>
<output>2/147 = around 0.013605</output>
<gadget id="calculator">(2/21) + (1/21) + (2/147)</gadget>
<out... | 3/2 | calc |
aqua_rat__MmNfWZ9rY7xAyotW | If a and b are positive integers, and a=20b-15, the greatest common divisor of a and b CANNOT be Choose the correct choice from the following answers:
A) 1 B) 3 C) 18 D) 15 E) 5 | If b is 1, 3, 5, or 15, then GCD of a and b is 1, 3, 5, and 15 respectively. So, by POE the answer must be C. Still: if b is a multiple of 18, then a is 15 smaller than a multiple of 18, so not a multiple of 18, so both of them cannot be divisive by 18. Answer: 18.
<result>C</result> | C | calc |
ape210k__00000747 | If the sides of a triangle are equal and one base angle is 35°, what is the apex angle? | <gadget id="calculator">35 * 2</gadget>
<output>70</output>
<gadget id="calculator">180 - 70</gadget>
<output>110</output>
<result>110</result> | 110 | calc |
ape210k__00317424 | Zhao Benshan is Xiaoshenyang's master. He was 52 years old last year, which is 6/7 years older than Xiaoshenyang last year. How old was Xiaoshenyang last year? | <gadget id="calculator">6 / 7</gadget>
<output>6/7 = around 0.857143</output>
<gadget id="calculator">1 + (6/7)</gadget>
<output>13/7 = around 1.857143</output>
<gadget id="calculator">52 / (13/7)</gadget>
<output>28</output>
<result>28</result> | 28 | calc |
ape210k__01117103 | If both sides of a right triangle are 8 cm, what is the area of the triangle? | <gadget id="calculator">8 / 2</gadget>
<output>4</output>
<gadget id="calculator">8 * 4</gadget>
<output>32</output>
<result>32</result> | 32 | calc |
ape210k__00154334 | There is a pasture where pasture grows at a constant rate every day and can feed 9 cows for 12 days and 8 cows for 16 days. Now there are only 4 cows to eat, and a few more cows have been added since the 7th day, and the grass used is eaten up in 6 days, how many cows have been added. | <gadget id="calculator">12 * 9</gadget>
<output>108</output>
<gadget id="calculator">16 * 8</gadget>
<output>128</output>
<gadget id="calculator">128 - 108</gadget>
<output>20</output>
<gadget id="calculator">16 - 12</gadget>
<output>4</output>
<gadget id="calculator">20 / 4</gadget>
<output>5</output>
<gadget id=... | 10 | calc |
aqua_rat__OVyCV5CFxFblg0V4 | If p^2 – 13p + 40 = h, and p is a positive integer between 1 and 10, inclusive, what is the probability that h < 0? Choose the correct choice from the following choices:
A) 1/10 B) 1/5 C) 2/5 D) 3/5 E) 3/10 | p2 – 13p + 40 = h so (p – 8)(p – 5) = h For q to be negative, the expressions (p – 8) and (p – 5) must have opposite signs. Which integers on the number line will yield opposite signs for the expressions (p – 8) and (p – 5)? Those integers in the range 5 < p < 8 (notice 5 and 8 are not included because they w... | B | calc |
ape210k__01093737 | Among the 250 parts processed by Uncle Wang, 15 are unqualified. What is the pass rate? | <gadget id="calculator">250 - 15</gadget>
<output>235</output>
<gadget id="calculator">235 / 250</gadget>
<output>47/50 = around 0.94</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(47/50) * 1</gadget>
<output>47/50 = around 0.94</output>
<result>47/50 = around 0.94</... | 47/50 | calc |
aqua_rat__N7YYgRztwue1qX2x | If 30!/10! is written as the product of consecutive integers, the largest of which is 30, what is the smallest of the integers?
Pick: A) 1 B) 3 C) 7 D) 11 E) 20 | 30!/10!=30∗29∗28...........11∗10!/10! Smallest integer = 11 Answer = 11
<result>D</result> | D | calc |
ape210k__01114913 | ○/□=△…5, what is the minimum divisor □. | <gadget id="calculator">5 + 1</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__00946437 | Master Wang sawed a piece of wood into 7 sections, and it took 4 minutes at a time. How many minutes did it take in total? | <gadget id="calculator">7 - 1</gadget>
<output>6</output>
<gadget id="calculator">4 * 6</gadget>
<output>24</output>
<result>24</result> | 24 | calc |
ape210k__00027501 | A cylindrical oil tank has a bottom area of 3.12 decimeters and a depth of 5 decimeters. Fill it with oil and pour it into another cuboid oil tank whose bottom surface is 3 decimeters long and 2 decimeters wide. How many decimeters is the oil depth? | <gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">3.12 * (5/6)</gadget>
<output>2.6</output>
<result>2.6</result> | 2.6 | calc |
ape210k__01201177 | The school organized 40 students to clean the nursing home. Among them, 23 cleaned the glass, 25 cleaned the room, 11 did both, and the rest cleaned the yard. How many people cleaned the yard? | <gadget id="calculator">25 - 11</gadget>
<output>14</output>
<gadget id="calculator">23 + 14</gadget>
<output>37</output>
<gadget id="calculator">40 - 37</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
math_qa__yFXTYaTVmsC9cMT1 | Mark bought a set of 6 flower pots of different sizes at a total cost of $8.25. Each pot cost 0.3 more than the next one below it in size. What was the cost, in dollars, of the largest pot? Choose the correct choice from the following options
A) $ 1.75 B) $ 1.85 C) $ 2.00 D) $ 2.12 E) $ 2.30 | <gadget id="calculator">6 - 1</gadget>
<output>5</output>
<gadget id="calculator">5 * 6</gadget>
<output>30</output>
<gadget id="calculator">30 / 2</gadget>
<output>15</output>
<gadget id="calculator">15 * 0.3</gadget>
<output>4.5</output>
<gadget id="calculator">8.25 - 4.5</gadget>
<output>3.75</output>
<gadget i... | D | calc |
aqua_rat__4NhHofTFDRtvjzE8 | 7% of the total quantity of rice is lost in grinding when a country has to import 6 million tonnes, but when only 7 3/4% is lost, it can import 3 million tonnes. Find the quantity of rice grown in the country. Choose the most appropriate option.
A) 200 B) 300 C) 400 D) 450 E) 560 | Let x be the total grown quantity of wheat. According to the question (7%of x)+ 64 31 %of x)+3 7x 31x => 100+ 6 = 400 + 3 1200 x = — 400 million tonnes rice grown 400
<result>C</result> | C | calc |
aqua_rat__uqjUfsFVZ9eulBvP | The sum of two number is 120 and their difference is 30. Find the numbers. Choose the most appropriate option
A) 95,25 B) 55,65 C) 75,45 D) 65,55 E) 85,35 | Let the two number be x and y. x+y =120.......(1) x- Y =30.........(2) =>2X=150 =>X=75. x-y =30 =>y =45. The two numbers are 75,45 Ans : 75,45
<result>C</result> | C | calc |
gsm8k__qEobVNNoSI7YYuMk | Hannah has 5 times as many dolls as her sister. Her sister has 8 dolls. How many dolls do they have altogether? | Hanna has 5 times as many dolls as her sister, so 5 x 8 dolls =
<gadget id="calculator">5*8</gadget>
<output>40</output>
40 dolls.
Together, they have 8 dolls + 40 dolls =
<gadget id="calculator">8+40</gadget>
<output>48</output>
48 dolls.
<result>48</result> | 48 | calc |
ape210k__00439137 | If the length of a rectangle is 2 decimeters and the width is 2 decimeters, what is its perimeter? | <gadget id="calculator">2 + 2</gadget>
<output>4</output>
<gadget id="calculator">4 * 2</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
aqua_rat__DKVn5X1CZphucLMT | A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 20%? Choose the correct choice from the following answers
A) 600 B) 2877 C) 208 D) 1882 E) 191 | Explanation: Cost price = Rs.500 profit = 20% of 500 = Rs.100 Selling price = Cost price + Profit = 500 + 100=
<gadget id="calculator">500 + 100</gadget>
<output>600</output>
600 600nswer:600
<result>A</result> | A | calc |
ape210k__00424482 | The fruit shop shipped 5 tons of apples, pears (1/2) more than apples, and bananas (1/2) more than pears, how many tons of bananas were shipped? | <gadget id="calculator">1 / 2</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">5 * (3/2) * (3/2)</gadget>
<output>45/4 = around 11.25</output>
<result>45/4 = around 11.25</result> | 45/4 | calc |
math_qa__tcBq38QwX1opM9lm | At a certain food stand, the price of each apple is 40¢ and the price of each orange is 60¢. Mary selects a total of 10 apples and oranges from the food stand, and the average (arithmetic mean) price of the 10 pieces of fruit is 52¢. How many oranges must Mary put back so that the average price of the pieces of fruit t... | <gadget id="calculator">60 * 10</gadget>
<output>600</output>
<gadget id="calculator">52 * 10</gadget>
<output>520</output>
<gadget id="calculator">600 - 520</gadget>
<output>80</output>
<gadget id="calculator">60 - 40</gadget>
<output>20</output>
<gadget id="calculator">80 / 20</gadget>
<output>4</output>
<gadget... | E | calc |
gsm8k__ks1b7FKULNSGWZBu | Tom bought 10 packages of miniature racing cars. Each package contains five cars. He gave each of his two nephews 1/5 of the cars. How many miniature racing cars are left with Tom? | Tom had 10 x 5 =
<gadget id="calculator">10*5</gadget>
<output>50</output>
50 miniature racing cars.
Tom gave 50 x 1/5 =
<gadget id="calculator">50*1/5</gadget>
<output>10</output>
10 miniature racing cars to each of his two nephews.
So, he gave a total of 10 x 2 =
<gadget id="calculator">10*2</gadget>
<output>20</o... | 30 | calc |
ape210k__00418332 | A road is 47.1 meters long. Xiao Ming rolls an iron hoop on the road. The diameter of the iron ring is 30 cm. When rolling from one end of the road to the other, how many turns does the hoop have to make? | <gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">3.14 * (3/10)</gadget>
<output>0.942</output>
<gadget id="calculator">47.1 / 0.942</gadget>
<output>50</output>
<result>50</result> | 50 | calc |
ape210k__00598437 | The volume of a cone is 20dm**3, the height is 12dm, what is the area of the base dm**2. | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">20 / (1/3) / 12</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
ape210k__01051923 | The volume of a cone is 9 cubic centimeters, the height is 3 centimeters, what is the area of the base in square centimetres? | <gadget id="calculator">3 / 3</gadget>
<output>1</output>
<gadget id="calculator">9 * 1</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
ape210k__00807205 | Solve the equation: 5x-2x=3.6. | <gadget id="calculator">5 - 2</gadget>
<output>3</output>
<gadget id="calculator">3.6 / 3</gadget>
<output>1.2</output>
<result>1.2</result> | 1.2 | calc |
aqua_rat__t3Gtxwc6j1kM5SLU | A person took some amount with some interest for 2 years, but increase the interest for 1%, he paid Rs.120/- extra, then how much amount he took?
Answers
A) Rs.5500/- B) Rs.6000/- C) Rs.4000/- D) Rs.7000/- E) None of these | Explanation: 2 years = Rs.120/- year = 120/2 Rate of Interest = 1% 100/1% × 120/2 = Rs.6000/- P = Rs.6000/- Answer: Option Rs.6000/-
<result>B</result> | B | calc |
ape210k__00017707 | If you subtract 9 from the numerator of (12/16), what should the denominator be divided by to keep the size of the fraction constant? | <gadget id="calculator">12 - 9</gadget>
<output>3</output>
<gadget id="calculator">12 / 3</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
aqua_rat__BBxKImJc1taZqivL | If (2x + 1) times (x + 4) is an odd integer, then x must be: Choose the correct choice from the following:
A) an odd integer B) an even integer C) a prime number D) a composite number E) a negative integer | Solution: (2x + 1) times (x + 4) means (2x + 1)(x + 4) (2x + 1)(x + 4) = 2x^2+9x+4 For 2x^2+9x+4 to be odd, 9x+4 must be odd since 2x^2 is always even. So 9x must be odd, hence x must be odd. Therefore x is an odd integer. an odd integernswer: an odd integer
<result>A</result> | A | calc |
ape210k__00124161 | The least common multiple of two numbers is 240, the greatest common divisor is 8, and 5 is a factor of the smaller number, but not a larger factor, then what is the sum of these two numbers. | <gadget id="calculator">2 * 2 * 2 * 5</gadget>
<output>40</output>
<gadget id="calculator">2 * 2 * 2 * 2 * 3</gadget>
<output>48</output>
<gadget id="calculator">40 + 48</gadget>
<output>88</output>
<result>88</result> | 88 | calc |
aqua_rat__JUnN000Rji4Qr9JY | The ratio between the length and the breadth of a rectangular park is 3:2. If a man cycling along theboundary of the park at the speed of 12 km/hr completes one round in 8 min, then the area of the park is? Answers: A) 163600 m B) 178600 m C) 153600 m D) 163600 m E) 173600 m | Perimeter = Distance covered in 8 min. = 12000 x 8 m = 1600 m. 60 Let length = 3x metres and breadth = 2x metres. Then, 2(3x + 2x) = 1600 or x = 160. Length = 480 m and Breadth = 320 m. Area = (480 x 320) m2 = 153600 m 153600 m
<result>C</result> | C | calc |
ape210k__00514558 | There are 210 seats on the upper floor of the opera house, which is 518 seats less than the downstairs. How many people can this opera house accommodate? | <gadget id="calculator">210 + 518</gadget>
<output>728</output>
<gadget id="calculator">210 + 728</gadget>
<output>938</output>
<result>938</result> | 938 | calc |
ape210k__00448123 | Build a cylindrical pool with a bottom diameter of 16 meters and a depth of 2.5 meters. Put cement on the bottom and sides of the pool. If 20 kilograms of cement is needed per square meter, how many kilograms of cement is needed to plaster the pool? | <gadget id="calculator">325.56 * 20</gadget>
<output>6_511.2</output>
<result>6_511.2</result> | 6_511.2 | calc |
aqua_rat__MvpzCGHL9kEDVwmm | Two trains are moving in the same direction at 108 kmph and 36 kmph. The faster train crosses the slower train in 17 seconds. Find the length of the faster train in meters. Options.
A) 270 m B) 340 m C) 310 m D) 350 m E) 327 m | Relative speed = (108 - 36) * 5/18 = 4 * 5=
<gadget id="calculator">4 * 5</gadget>
<output>20</output>
20 mps. Distance covered in 17 sec= 17 * 20=
<gadget id="calculator">17 * 20</gadget>
<output>340</output>
340 m. The length of the faster train= 340 m. Answer:340 m
<result>B</result> | B | calc |
aqua_rat__1ArGWglNVF7KBJns | The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 41 kg, then the weight of B is:
Choose the correct choice from the following options
A) 27 kg B) 20 kg C) 26 kg D) 31 kg E) 35 kg | let d sum of a, b, c is 3*45=
<gadget id="calculator">3*45</gadget>
<output>135</output>
135 and sum of a and b s 2*40=
<gadget id="calculator">2*40</gadget>
<output>80</output>
80 sum of b and c is 2*41=
<gadget id="calculator">2*41</gadget>
<output>82</output>
82 hence 80+82-135=
<gadget id="calculator">80+... | A | calc |
aqua_rat__dLumGIHAwRAoISKK | A train of length L is traveling at a constant velocity and passes a pole in t seconds. If the same train travelling at the same velocity passes a platform in 6t seconds, then what is the length of the platform? Choose the correct choice from the following.
A) L B) 3L C) 5L D) 7L E) 9L | The train passes a pole in t seconds, so velocity v = L/t (L+P)/v = 6t (L+P) / (L/t) = 6t P = 5L The answer is 5L.
<result>C</result> | C | calc |
ape210k__00615786 | Team A, B, and C built a road together. Captain A said: "We have completed half of the entire task." Captain B said: "We have repaired 120 meters." Captain C said: "We have undertaken 30% of the entire project. "Please calculate how long this road is? | <gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">1 - (1/2) - (3/10)</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">120 / (1/5)</gadget>
<output>600</output>
<result>600... | 600 | calc |
gsm8k__mrPzP2xCGHht2pUk | James has 5 dozen boxes of matches. Each box contains 20 matches. How many matches does James have? | He has 5*12=
<gadget id="calculator">5*12</gadget>
<output>60</output>
60 boxes of matches.
That means he has 60*20=
<gadget id="calculator">60*20</gadget>
<output>1_200</output>
1200 matches.
<result>1_200</result> | 1_200 | calc |
ape210k__00191174 | There is a barrel of oil in the cafeteria, half of it is eaten on the first day, more than 1 kg, half of the remaining oil is eaten on the second day, more than 2 kg, and half of the remaining oil is eaten on the third day, and the remaining half of the oil is more than 3 kg, and finally there is still left in the barr... | <gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">5 * 2</gadget>
<output>10</output>
<gadget id="calculator">10 + 2</gadget>
<output>12</output>
<gadget id="calculator">12 * 2</gadget>
<output>24</output>
<gadget id="calculator">24 + 1</gadget>
<output>25</output>
<gadget id="calcul... | 50 | calc |
aqua_rat__c6t9xraLewlY5Vse | Last year a certain bond yielded 5 percent of its face value in interest. If that interest was approximately 4 percent of the bonds selling price of $8,500, what is the bonds face value? Choose the correct choice from the following answers
A) $6,000 B) $6,800 C) $7,425 D) $7,500 E) $9,375 | Interest = 0.05*face value = 0.04*8,500 --> face value = 0.04*8,500/0.05 = 6,800. Answer: $6,800.
<result>B</result> | B | calc |
aqua_rat__NChYUBq3TSwrCMZg | The number of new words that can be formed by rearranging the letters of the word 'KEYBOARD' is ? Select the correct option:
A) 34118 B) 40319 C) 20119 D) 40139 E) 38132 | Number of words which can be formed = 8! - 1 = 40320 - 1=
<gadget id="calculator">40320 - 1</gadget>
<output>40_319</output>
40319 Answer:40319
<result>B</result> | B | calc |
ape210k__00426302 | When two cubes with side lengths of 5 cm are put together to form a cuboid, the surface area is reduced by how many square centimeters from the sum of the surface areas of the original two cubes. | <gadget id="calculator">5 * 5 * 2</gadget>
<output>50</output>
<result>50</result> | 50 | calc |
aqua_rat__ZFfC0Y6RvmQi623y | Let n~ be defined for all positive integers n as the remainder when (n - 1)! is divided by n.
What is the value of 34~ ?
Choose the most appropriate option
A) 6 B) 1 C) 2 D) 0 E) 31 | n~ = (n-1)! so 34~ = (34-1)=
<gadget id="calculator">(34-1)</gadget>
<output>33</output>
33! when 33!/34 we have 16*2 inside 33! hence 34 gets cancelled and we get remainder as 0 0
<result>D</result> | D | calc |
ape210k__01053789 | There are only 4 masters and 16 apprentices in a certain factory, how much do the number of masters account for the total number of people in the factory? | <gadget id="calculator">4 + 16</gadget>
<output>20</output>
<gadget id="calculator">4 / 20</gadget>
<output>1/5 = around 0.2</output>
<result>1/5 = around 0.2</result> | 1/5 | calc |
ape210k__00179105 | In a rectangle with a length of 8 cm and a width of 5 cm, what is the perimeter of the remaining figure after cutting off the largest square? | <gadget id="calculator">8 - 5</gadget>
<output>3</output>
<gadget id="calculator">3 + 5</gadget>
<output>8</output>
<gadget id="calculator">8 * 2</gadget>
<output>16</output>
<result>16</result> | 16 | calc |
aqua_rat__UXnxBhOhMDB4HuFb | In September, John sold 2323 more soap than in February. In November, he sold 5 percent more than in September. John's November sales were what percent greater than his February sales?
Choose the correct option
A) 10/3%
B) 65%
C) 214/3 %
D) 75%
E) 514/3% | Let february sale= x september sale= x+2/3x= 5x/3 November sale= 5x+3 + 5*5/100*3x 21/12=
<gadget id="calculator"> 21/12</gadget>
<output>7/4 = around 1.75</output>
1.75 x Hence November sale is 75% > February sale 75% is the answer
<result>D</result> | D | calc |
ape210k__00316249 | The transport company has to send 450 pieces of ammunition to the front line, of which artillery shells account for (5/9) and the rest are grenades. Due to the enemy's ambush, the artillery shells were lost (2/5), and the grenades were only left (3/8). How many ammunition were left when they were delivered? | <gadget id="calculator">5 / 9</gadget>
<output>5/9 = around 0.555556</output>
<gadget id="calculator">450 * (5/9)</gadget>
<output>250</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">250 * (2/5)</gadget>
<output>100</output>
<gadget id="calculator">250 - 100... | 225 | calc |
ape210k__00013919 | A, B, and C bought 10 loaves of bread and shared them equally. A paid for 6 loaves, B paid for 4 loaves, and C did not bring any money. After eating, do the math, and C should take out 3 yuan. How much should A get back? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">3 / (1/3)</gadget>
<output>9</output>
<gadget id="calculator">6 / 10</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">9 * (3/5)</gadget>
<output>27/5 = around 5.4</output>
<gadget id="calculator">... | 12/5 | calc |
ape210k__00702775 | □The quotient of 79/52 is two digits, how many numbers can be filled in □. | <result>5</result> | 5 | calc |
ape210k__00106544 | A newly dug canal has a trapezoidal cross-section. The mouth of the canal is 2.8m wide, the bottom of the canal is 1.2m wide, and the canal is 2.5m deep. What is its cross-sectional area? | <gadget id="calculator">1.2 + 2.8</gadget>
<output>4</output>
<gadget id="calculator">2.5 / 2</gadget>
<output>1.25</output>
<gadget id="calculator">4 * 1.25</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
ape210k__00123758 | Two people, A and B, set off from A and B at the same time. If they are traveling in the same direction, A will catch up with B in 26 minutes; if they are traveling in the opposite direction, they will meet in 6 minutes. It is known that B travels 50 meters per minute, what is the distance between A and B in meters? | <gadget id="calculator">26 + 6</gadget>
<output>32</output>
<gadget id="calculator">50 * 32</gadget>
<output>1_600</output>
<gadget id="calculator">26 - 6</gadget>
<output>20</output>
<gadget id="calculator">1_600 / 20</gadget>
<output>80</output>
<gadget id="calculator">80 + 50</gadget>
<output>130</output>
<gadg... | 780 | calc |
ape210k__00000126 | The price of a stock rises by 10%, then rises by 15%, and then falls by 20%, how much does the stock's price increase compared to the original | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 + (1/10)</gadget>
<output>11/10 = around 1.1</output>
<gadget id="calculator">15 / 100</gadget>
<output>3/20 = around 0.15</output>
<gadget id="calculator">1 + (3/20)</gadget>
<output>23/20 = around 1.15</output>
... | 3/250 | calc |
aqua_rat__nvqAV98CgDZdRzXB | The area of a square is 4096 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square?
Answers: A) 5:15 B) 5:17 C) 5:12 D) 5:13 E) 5:16 | Let the length and the breadth of the rectangle be l cm and b cm respectively. Let the side of the square be a cm. a2 = 4096 = 212 a = (212)1/2 = 26 = 64 L = 2a and b = a - 24 b : l = a - 24 : 2a = 40 : 128 = 5:16 Answer: 5:16
<result>E</result> | E | calc |
aqua_rat__Ow4wZMLc81okUDcK | If a sum of Rs.17,100 is divided between, A and B in the ratio 4:5, how much amount would A get ? Select: A) 9500 B) 6700 C) 7600 D) 7900 E) 9700 | 9500 = 17100 × 4 / 9 = Rs.7600 B = 17100 × 5 /9 = Rs.9500 Option 9500
<result>A</result> | A | calc |
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