id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__01111613 | Xiaoli is 8 years old this year, and her mother is 35 years old this year. Next year's mother's age is how many times Xiaoli's? | <gadget id="calculator">35 + 1</gadget>
<output>36</output>
<gadget id="calculator">8 + 1</gadget>
<output>9</output>
<gadget id="calculator">36 / 9</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
ape210k__00250759 | If the perimeter of a square is 20 meters, what is the length of its sides? | <gadget id="calculator">20 / 4</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
ape210k__00985185 | Each kilogram of Crystal Fuji apples is 16 yuan, and my mother buys 10 kilograms of Red Fuji apples for 100 yuan, and gets back 20 yuan. How many times is the price per kilogram of Crystal Fuji apples higher than that of Red Fuji apples? | <gadget id="calculator">100 - 20</gadget>
<output>80</output>
<gadget id="calculator">80 / 10</gadget>
<output>8</output>
<gadget id="calculator">16 / 8</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
aqua_rat__iB4UW4K2LjHkkYtq | A dealer purchases 15 articles for Rs. 25 and sells 12 articles for Rs. 33. Find the profit percentage? Select the correct option
A) 65% B) 50% C) 59% D) 40% E) 53% | L.C.M of 15 and 12 = 60 CP of 60 articles = Rs. 100 (25 * 4) SP of 60 articles = Rs. 165 (33 * 5) Profit percentage = (165 - 100)/100 * 100=
<gadget id="calculator">(165 - 100)/100 * 100</gadget>
<output>65</output>
65% 65%nswer: 65%
<result>A</result> | A | calc |
ape210k__00043555 | A piece of triangular land, the lengths of the three sides are 18, 27, and 39 respectively. Trees should be planted on all three sides of it, including three vertices. It is required that every two adjacent trees are equally spaced. How many trees can be planted at least? Tree. | <gadget id="calculator">18 + 27 + 39</gadget>
<output>84</output>
<gadget id="calculator">84 / 3</gadget>
<output>28</output>
<result>28</result> | 28 | calc |
ape210k__00032487 | If the height of a cuboid is reduced by 3 cm, exactly a cube is obtained, and the surface area of this cube is reduced by 60 cm2 compared with the original cuboid. Find the surface area of the original cuboid. | <gadget id="calculator">60 / 4 / 3</gadget>
<output>5</output>
<gadget id="calculator">5 * 5 * 2</gadget>
<output>50</output>
<gadget id="calculator">5 + 3</gadget>
<output>8</output>
<gadget id="calculator">5 * 8 * 4</gadget>
<output>160</output>
<gadget id="calculator">50 + 160</gadget>
<output>210</output>
<res... | 210 | calc |
ape210k__00438785 | Girls plant 20 trees, and boys plant more trees than girls (1/4). How many more trees do boys plant than girls? | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">20 * (1/4)</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
aqua_rat__7WPZWfcsv96CeXDe | The sum of three integers A, B and C is 60. A is one third of the sum of B and C and B is one fifth of the sum of A and C. What is C? Choose the correct choice from the following options
A) 40
B) 45
C) 35
D) 50
E) 55 | A is one third of the sum of B and C.. or A=1/3(B+C)... But A+B+C=60 so 1/3(B+C)+B+C=60 4(B+C)/3= 60 B+C =60*3/4=
<gadget id="calculator">60*3/4</gadget>
<output>45</output>
45 A=60-45=
<gadget id="calculator">60-45</gadget>
<output>15</output>
15 2)B is one fifth of the sum of A and C or B=1/5(A+C)..... | C | calc |
ape210k__00014853 | A column of numbers is (1/2), (3/5), (8/13), (21/34), ..., what is the seventh number from left to right? | <gadget id="calculator">1 + 2 + 2 + 1 + 2 + 2 + 1 + 2 + 1 + 2 + 2 + 1 + 2 + 34 + 1 + 2 + 2 + 1 + 2 + 2 + 1 + 2 + 1 + 2 + 2 + 1 + 2 + 34 + 34 + 1 + 2 + 2 + 1 + 2 + 2 + 1 + 2 + 1 + 2 + 2 + 1 + 2 + 34 + 1 + 2 + 2 + 1 + 2 + 2 + 1 + 2 + 1 + 2 + 2 + 1 + 2 + 34 + 34 + 1 + 2 + 2 + 1 + 2 + 2 + 1 + 2 + 1 + 2 + 2 + 1 + 2 + 34 + 3... | 377/610 | calc |
ape210k__01088511 | The fruit shop brought in 140 kilograms of apples in the morning, and 45 kilograms more than twice as much in the morning in the afternoon. How many kilograms more apples are shipped in the afternoon than in the morning? | <gadget id="calculator">140 * 2</gadget>
<output>280</output>
<gadget id="calculator">280 + 45</gadget>
<output>325</output>
<gadget id="calculator">325 - 140</gadget>
<output>185</output>
<result>185</result> | 185 | calc |
ape210k__00499761 | What is the result of 1.25-1.25/1.25 | <gadget id="calculator">1.25 / 1.25</gadget>
<output>1</output>
<gadget id="calculator">1.25 - 1</gadget>
<output>0.25</output>
<result>0.25</result> | 0.25 | calc |
aqua_rat__Ba7y52OXrqVfY2ZC | By using the numbers 0, 1, 3, 5 and 6 only once, how many five digit numbers can be made that are divisible by 15? Choose the correct choice from the following choices.
A) 12 B) 18 C) 24 D) 36 E) 42 | A number to be divisible by 15 must end with 15, 30, 45,60,75 or 70. So, there are the following cases possible: 035-15 --> the first three digits can be arranged in 3=6 ways. 156-30 --> the first three digits can be arranged in 3=6 ways. 135-60 --> the first three digits can be arranged in 3=6 ways. ... | B | calc |
aqua_rat__yLHdXtlOZ8AT8sCp | If 5 men can dig a field in 20 days, how much time it will take 4 men to dig the same field? Choose the most appropriate option: A) 21 B) 22 C) 23 D) 24 E) 25 | 25 Less the number of men, more time it will take to dig the field (inversely proportion) 5 : 4 :: N : 20 N = 20 X 5 / 4 = 25
<result>E</result> | E | calc |
ape210k__00487605 | The selling price of a commodity is 2000 yuan, and its loss rate is 20%, what is the cost price of this commodity? | <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">2_000 / (4/5)</gadget>
<output>2_500</output>
<result>2_500</result> | 2_500 | calc |
aqua_rat__gnFI2L6u4EIlGYaV | The factorial expression 11!/2! is not divisible by which of the following integers?
Choose the correct choice from the following options: A) 3 B) 5 C) 6 D) 7 E) None of these | 11!/2! => 11 x 10 x 9 x 8x7x6x5x4x3 (A) 3 Can divide 3,12 or 9 (B) 5 Can divide 10 (C) 6 Can divide 12 (D) 7 can divide 7, 21, 42 Hence answer will be (None of these)
<result>E</result> | E | calc |
ape210k__00394688 | From A to B, it’s 3/8, and there are still 200 meters away from the midpoint. How many meters are there between A and B? | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">(1/2) - (3/8)</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">200 / (1/8)</gadget>
<output>1_600</output>
<result>1_600</re... | 1_600 | calc |
ape210k__00290317 | 49 students in a certain class attended today, and one student was absent. What is the attendance rate of this class today? | <gadget id="calculator">49 + 1</gadget>
<output>50</output>
<gadget id="calculator">49 / 50</gadget>
<output>49/50 = around 0.98</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(49/50) * 1</gadget>
<output>49/50 = around 0.98</output>
<result>49/50 = around 0.98</resul... | 49/50 | calc |
ape210k__01035941 | 600 yuan is deposited in the bank for 3 months, and the monthly interest rate is 1.85%. How much can the total principal and interest be withdrawn at maturity? | <gadget id="calculator">1.85 / 100</gadget>
<output>0.0185</output>
<gadget id="calculator">600 * 0.0185 * 3</gadget>
<output>33.3</output>
<gadget id="calculator">600 + 33.3</gadget>
<output>633.3</output>
<result>633.3</result> | 633.3 | calc |
ape210k__00377935 | Divide 9.56 by the number less than the number, the quotient is greater than 9.56. | <result>1</result> | 1 | calc |
ape210k__00235695 | Paint the surface of a cuboid with a length of 5, a width of 3, and a height of 1, and then cut it into 15 small cubes with an edge length of l. Then how many small cubes are there that are painted on three sides? | <gadget id="calculator">5 - 2</gadget>
<output>3</output>
<gadget id="calculator">3 - 2</gadget>
<output>1</output>
<gadget id="calculator">3 + 1</gadget>
<output>4</output>
<gadget id="calculator">4 * 2</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__00565491 | The difference between (1/4) and (1/5) is divided by a number to get 10, what is the number? | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/4) - (1/5)</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">(1/20) * 10</gadget>
<output>1/2 = around 0.5</output>
<result... | 1/2 | calc |
ape210k__00317583 | At the sports meeting, 315 students participated in the gymnastics performance. They are divided into 7 teams on average, and each team is divided into 5 groups on average. How many students are there in each group? | <gadget id="calculator">315 / 7 / 5</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
ape210k__00335086 | How many ways are there to write (1/2) as the sum of the reciprocals of three natural numbers (which can be the same)? | <gadget id="calculator">5 / 1</gadget>
<output>5</output>
<gadget id="calculator">3 / 1</gadget>
<output>3</output>
<gadget id="calculator">5 + 1 + 3 + 1 + 1</gadget>
<output>11</output>
<result>11</result> | 11 | calc |
aqua_rat__E8IQ5BZyDEjCOp9D | A perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer. How many positive integers n are there such that n is less than 50,000 and at the same time n is a perfect square and a perfect cube? Pick:
A) 3
B) 4
C) 5
D) 6
E) 7 | If n is a perfect square and a perfect cube, then n = a^6 for some integer a. The numbers are 1^6=1, 2^6=64, 3^6= 729, 4^6=4096, 5^6=15,625, 6^=46,656. The answer is 6.
<result>D</result> | D | calc |
ape210k__00249681 | 280 is 80 less than 5 times a number. Find this number. (solution by equation) | <gadget id="calculator">80 + 280</gadget>
<output>360</output>
<gadget id="calculator">360 / 5</gadget>
<output>72</output>
<result>72</result> | 72 | calc |
aqua_rat__4xrvzNU8l255Ly3r | If 12 men or 20 women can do a piece of work in 81 days, then in how many days can 9 men and 12 women together do the work?
Choose the correct choice from the following choices.
A) 10 days B) 30 days C) 20 days D) 60 days E) 40 days | D 60 days Given that 12m = 20w => 3m = 5w 9 men + 12 women = 15 women + 12 women = 27 women 20 women can do the work in 81 days. So, 27 women can do it in (20 * 81) /27=
<gadget id="calculator"> (20 * 81) /27</gadget>
<output>60</output>
60 days.
<result>D</result> | D | calc |
ape210k__00353641 | After mixing 100 grams of 10% alcohol with 60 grams of 8% alcohol, what is the concentration of the new alcohol? | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">100 * (1/10)</gadget>
<output>10</output>
<gadget id="calculator">8 / 100</gadget>
<output>2/25 = around 0.08</output>
<gadget id="calculator">60 * (2/25)</gadget>
<output>24/5 = around 4.8</output>
<gadget id="calc... | 37/400 | calc |
gsm8k__QS7EGud6TlsGVUf1 | Allie's making guacamole for a party. Each batch requires 4 avocados and serves about 6 people. If 42 people are going to be at the party including her, how many avocados does she need? | Each batch serves 6 people, and there are 42 people coming to the party, so she needs to make 42 / 6 =
<gadget id="calculator">42/6</gadget>
<output>7</output>
7 batches.
Each batch requires 4 avocados, so she will need 4 * 7 =
<gadget id="calculator">4*7</gadget>
<output>28</output>
28 avocados.
<result>28</result> | 28 | calc |
aqua_rat__sHVOpxXdrZYhPPIt | Pipe P can fill a tank in 2 hours, pipe Q in 4 hours and pipe R in 12 hours. If all the pipes are open, in how many hours will the tank be filled? Pick one: A) 2 hours B) 1.2 hours C) 3 hours D) 1.5 hours E) 2.5 hours | Explanation: Part filled by (P + Q + R) in 1 hour = (1/2 + 1/4 + 1/12) = 5/6 All the three pipes together will fill the tank = 6/5=
<gadget id="calculator">6/5</gadget>
<output>6/5 = around 1.2</output>
1.2 hours ANSWER 1.2 hours
<result>B</result> | B | calc |
ape210k__00354217 | In order to welcome the establishment of a civilized city in the province, a road was widened in the Hubin New District, and 15% of the road was repaired on the first day. On the second day, it was repaired 300 meters less than the first day, leaving 75% of the road. How long is this road in meters? | <gadget id="calculator">15 / 100</gadget>
<output>3/20 = around 0.15</output>
<gadget id="calculator">75 / 100</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">1 - (3/20) - (3/4)</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(3/20) - (1/10)</gadget>
<output>1/20 = around 0.05... | 6_000 | calc |
aqua_rat__XLHFSublA4cRR9Ew | The speed of a train is 70 kmph excluding stoppages and including stoppages it is 63 kmph. Of how many minutes does the train stop per hour? Answers:
A) 3
B) 6
C) 7
D) 9
E) 14 | Explanation: T = 7/70 * 60=
<gadget id="calculator">7/70 * 60</gadget>
<output>6</output>
6 Answer: Option 6
<result>B</result> | B | calc |
ape210k__00582048 | There are 6 bottles of Coke in a box, 3 cups can be poured from a bottle of Coke, how many cups can be poured in a box of Coke. | <gadget id="calculator">6 * 3</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
ape210k__00534844 | Kobayashi took four homework exams, with a score of 78 in Chinese, 83 in science, and 51 in English. His math score was 7 points higher than the average score of the four subjects. Ask: How many points did you get in the math exam? | <gadget id="calculator">78 / 4</gadget>
<output>39/2 = around 19.5</output>
<gadget id="calculator">83 / 4</gadget>
<output>83/4 = around 20.75</output>
<gadget id="calculator">51 / 4</gadget>
<output>51/4 = around 12.75</output>
<gadget id="calculator">(39/2) + (83/4) + (51/4) + 7</gadget>
<output>60</output>
<gad... | 80 | calc |
ape210k__00108782 | There are 24 boxes of chess in the activity room, the number of boxes of military chess is twice that of chess, and there are 12 boxes of checkers, how many boxes of checkers are less than military chess. | <gadget id="calculator">24 * 2</gadget>
<output>48</output>
<gadget id="calculator">48 - 12</gadget>
<output>36</output>
<result>36</result> | 36 | calc |
ape210k__00089875 | If a: b=(3/4), b: c=(1/2), then a is the amount of c. | <gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<result>3/8 = around 0.375</result> | 3/8 | calc |
aqua_rat__tGWaayIr4o2jbIJM | The ratio of men to women in the Snyder community choir is 4 to 3. The ratio of men to women in the Leigh community choir is 5 to 6. If the two choirs merged, the ratio of men to women in the combined choir would be 22 to 27. If Snyder has 4 more men and 6 more women than Leigh, how many women are in the Snyder choir? ... | This question has a number of patterns in it that we can take advantage of. We can also TEST THE ANSWERS (but we can actually eliminate most of the answer choices rather quickly. We're told that the ratio of the Men to Women in the Snyder choir is 4 to 3, so the number of men MUST be a multiple of 4 and the number of... | A | calc |
aqua_rat__4IdyyyamcfsLRu4l | How many seconds will a train 140 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph?
Choose the correct choice: A) 28 sec B) 29 sec C) 24 sec D) 25 sec E) 26 sec | D = 140 + 150=
<gadget id="calculator">140 + 150</gadget>
<output>290</output>
290 S= 36 * 5/18=
<gadget id="calculator">36 * 5/18</gadget>
<output>10</output>
10 mps T= 290/10=
<gadget id="calculator">290/10</gadget>
<output>29</output>
29 sec 29 sec
<result>B</result> | B | calc |
aqua_rat__K001Dmze3MhWIhnH | The ratio of three numbers is 3 : 4 : 5 and the sum of their squares is 1250.The sum of the numbers is : Choose the correct choice from the following choices:
A) 30
B) 50
C) 60
D) 90
E) 40 | Solution Let the numbers be 3x,4x and 5x.Then, 9x2+6x2+25x2 = 1250=50x2= 1250=x2 = 25=x = 5. ∴ Sum of numbers = (3x+4x+5x) = 12 x (3 +4 +5 )=
<gadget id="calculator">(3 +4 +5 )</gadget>
<output>12</output>
12 x=(12x5) = 60. Answer 60
<result>C</result> | C | calc |
ape210k__00395033 | Xiao Wang deposited 500 yuan of New Year's money in current savings. If the annual interest rate is 0.72%, how much is the total amount of principal and after-tax interest after half a year? | <gadget id="calculator">0.72 / 100</gadget>
<output>0.0072</output>
<gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">1 - (1/20)</gadget>
<output>19/20 = around 0.95</output>
<gadget id="calculator">500 * 0.0072 * 0.5 * (19/20)</gadget>
<output>1.71</output>
<gadge... | 501.71 | calc |
aqua_rat__6tYqYCSnI8JPDaBg | A mixture of 70 litres of milk and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12 1/2% water? Options:
A) 2 B) 8 C) 4 D) 5 E) None of these | Quantity of milk in the mixture = 90/100 (70) = 63 litres. After adding water, milk would form 87 1/2% of the mixture. Hence, if quantity of mixture after adding x liters of water, (87 1/2) / 100 x = 63 => x = 72 Hence 72 - 70=
<gadget id="calculator">72 - 70</gadget>
<output>2</output>
2 litres of water must... | A | calc |
ape210k__00329860 | Add 4 to the numerator of the fraction (4/5), how much should be added to the denominator to keep the size of the fraction unchanged. | <gadget id="calculator">5 * 2</gadget>
<output>10</output>
<gadget id="calculator">10 - 5</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
ape210k__00034002 | A bag of white sugar weighs 500 grams, how many bags of this kind of white sugar is exactly 1 kg. | <gadget id="calculator">1_000 / 500</gadget>
<output>2</output>
<gadget id="calculator">1 * 2</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
ape210k__00964579 | Two people, A and B, are running a race on a 100-meter long track. If they start from the starting point at the same time, they both run to the finish line at an even speed. When A runs 80 meters, B is 10 meters behind A; when A reaches the finish line How many meters away is B from the end point? | <gadget id="calculator">80 - 10</gadget>
<output>70</output>
<gadget id="calculator">70 / 80</gadget>
<output>7/8 = around 0.875</output>
<gadget id="calculator">100 * (7/8)</gadget>
<output>175/2 = around 87.5</output>
<gadget id="calculator">100 - (175/2)</gadget>
<output>25/2 = around 12.5</output>
<result>25/2 ... | 25/2 | calc |
aqua_rat__UuV8V8YbVJHWJslc | Look at this series: 53, 53, 39, 39, 25, 25, ... What number should come next? Choose the correct choice from the following answers:
A) A)12 B) B)11 C) C)27 D) D)53 E) E)86 | In this series, each number is repeated, then 14 is subtracted to arrive at the next number. Answer: 11
<result>B</result> | B | calc |
aqua_rat__0k4HMPSaglHeGPcr | Bag contain 10 back and 20 white balls, One ball is drawn at random. What is the probability that ball is white
Pick:
A) 1 B) 2/3 C) 1/3 D) 4/3 E) 5/3 | Explanation: Total cases = 10 + 20=
<gadget id="calculator">10 + 20</gadget>
<output>30</output>
30 Favourable cases= 20 So probability = 20/30 = 2/3 Answer: Option 2/3
<result>B</result> | B | calc |
ape210k__00604663 | Li Xin reads a story book, and the ratio of the number of pages she has read to the number of unread pages is 1:3. If she is reading 50 pages, and she has read exactly half of the book, how many pages does the book have? | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 + 3</gadget>
<output>4</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/2) - (1/4)</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">50 / ... | 200 | calc |
ape210k__00506708 | On a certain day, the temperature forecast in Beijing is -3°C to -5°C, what is the maximum temperature difference in this day? | <gadget id="calculator">(-3) - (-5)</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
ape210k__00339460 | In the first quarter of this year, a hotel paid 200,000 yuan in taxes at a tax rate of 5% of its turnover, and 35% of its turnover was profit. How much was the hotel’s profit in the first quarter? | <gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">20 / (1/20)</gadget>
<output>400</output>
<gadget id="calculator">35 / 100</gadget>
<output>7/20 = around 0.35</output>
<gadget id="calculator">400 * (7/20)</gadget>
<output>140</output>
<result>140</result> | 140 | calc |
ape210k__00253742 | If one acute angle in a right triangle is 40 degrees, what is the other acute angle? | <gadget id="calculator">180 - 90 - 40</gadget>
<output>50</output>
<result>50</result> | 50 | calc |
aqua_rat__lImGfB1s0osgnklV | Find the sum lend at C.I. at 5 p.c per annum will amount to Rs.441 in 2 years? Pick: A) 200 B) 400 C) 378 D) 883 E) 732 | 441 = P(21/20)2 P = 400 Answer: 400
<result>B</result> | B | calc |
aqua_rat__KHRWvMhrB7IBC28h | Find the sum of prime numbers lying between 58 and 75? Choose the most appropriate option
A) 198 B) 331 C) 252 D) 272 E) None | Solution Required sum =59 + 61 + 67 + 71 + 73) = 331. Answer 331
<result>B</result> | B | calc |
ape210k__00058608 | When water freezes into ice, its volume increases (1/10), and when ice turns into water, its volume decreases. | <gadget id="calculator">1 / 10</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">(11/10) - 1</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(1/10) / (11/10)</gadget>
<output>1/11 = around 0.090909</... | 1/11 | calc |
ape210k__00700431 | Given that the area of a square is 6cm**2, what is the area of the largest circle in this square? | <gadget id="calculator">3.14 * 1.25</gadget>
<output>3.925</output>
<result>3.925</result> | 3.925 | calc |
aqua_rat__P8UWZLmU86vOV3KT | A person travels from P to Q a speed of 40 km/hr and returns by increasing his speed by 50%. What is his average speed for both the trips? Choices:
A) 37 B) 26 C) 48 D) 21 E) 92 | Speed on return trip = 150% of 40 = 60 km/hr. Average speed = (2 * 40 * 60)/(40 + 60)=
<gadget id="calculator">(2 * 40 * 60)/(40 + 60)</gadget>
<output>48</output>
48 km/hr. Answer:48
<result>C</result> | C | calc |
ape210k__00177449 | Each of the four cars travels 300 kilometers and needs a total of 240 liters of gasoline. There are 5 same cars at the same time transporting goods to a place 900 kilometers apart, at least how many liters of gasoline are needed? | <gadget id="calculator">240 / 300 / 4</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/5) * 900 * 5</gadget>
<output>900</output>
<result>900</result> | 900 | calc |
ape210k__01044151 | A group’s sales last year were 1 billion yuan, and this year it is expected to increase by 15%. What is the sales volume this year? | <gadget id="calculator">15 / 100</gadget>
<output>3/20 = around 0.15</output>
<gadget id="calculator">1 + (3/20)</gadget>
<output>23/20 = around 1.15</output>
<gadget id="calculator">10 * (23/20)</gadget>
<output>23/2 = around 11.5</output>
<result>23/2 = around 11.5</result> | 23/2 | calc |
aqua_rat__QmaANMuwmV1ptYNw | A, B and C can do a work in 8 days, 8 days and 12 days respectively. In how many days can all three of them working together, complete the work?
Choose one: A) 3 B) 2 2/8 C) 2 2/0 D) 2 2/2 E) 2 2/1 | Work done by all three of them in one day = 1/8 + 1/8 + 1/12 = 1/3 The number of days required = 3 days. 3nswer:3
<result>A</result> | A | calc |
ape210k__00438722 | If the length of a rectangle is increased by 4 centimeters and its width is increased by 1 centimeter, what is the increase in its perimeter? | <gadget id="calculator">4 + 1</gadget>
<output>5</output>
<gadget id="calculator">5 * 2</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
math_qa__ZnOF9cQWejy9BR7L | Puzzle !!! 🙂
if
111 = 09
444 = 12
777 = 15
then
888 = ??? Choose the correct choice from the following options:
A) 13
B) 17
C) 18
D) 11
E) 15 | <gadget id="calculator">15 * 1</gadget>
<output>15</output>
<result>E</result> | E | calc |
aqua_rat__NiafC9TVDFw8MlJU | At what price must an article costing Rs.85.5 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price? Answers.
A) 122.5 B) 142.5 C) 162.5 D) 182.5 E) 112.5 | CP = 85.50 SP = 85.5*(125/100)=
<gadget id="calculator">85.5*(125/100)</gadget>
<output>106.875</output>
106.875 MP*(95/100)= 106.875 MP = 112.5 Answer:112.5
<result>E</result> | E | calc |
ape210k__01032995 | 120/3*3*0=how much. | <gadget id="calculator">120 / 3</gadget>
<output>40</output>
<gadget id="calculator">40 * 3 * 0</gadget>
<output>0</output>
<result>0</result> | 0 | calc |
ape210k__01051929 | The length and width of a rectangle are both prime numbers in meters, and the circumference is 20 meters. What is the area of the rectangle? | <gadget id="calculator">7 * 3</gadget>
<output>21</output>
<result>21</result> | 21 | calc |
ape210k__00405634 | An orchard needs to plant peach trees, apple trees and pear trees, among which peach trees and pear trees account for (13/16) of the total area, and apple trees and pear trees account for (5/8) of the total area. What percentage of the total area is the area of pear trees? | <gadget id="calculator">5 / 8</gadget>
<output>5/8 = around 0.625</output>
<gadget id="calculator">13 / 16</gadget>
<output>13/16 = around 0.8125</output>
<gadget id="calculator">1 - (13/16)</gadget>
<output>3/16 = around 0.1875</output>
<gadget id="calculator">(5/8) - (3/16)</gadget>
<output>7/16 = around 0.4375</o... | 7/16 | calc |
aqua_rat__wgfDXa6C6urapMJw | If 5a= 3125, then the value of 5(a-3) is
Choose the correct choice from the following options
A) 25 B) 50 C) 250 D) 300 E) None | Sol. 5a = 3125 = 5a = 55 a = 5. 5(1-3) = 5(5-3) = 5(2) = 25. 25nswer 25
<result>A</result> | A | calc |
aqua_rat__vf1NYp7plI0JJ1kV | If the cost price is 98% of sp then what is the profit % Answers
A) 4.07% B) 4% C) 2.7% D) 2.04% E) 2.08% | Sol. sp=Rs100 : then cp=Rs 98:profit =Rs 2. Profit={(2/98)*100}%=2.04% Answer is 2.04%.
<result>D</result> | D | calc |
ape210k__00551775 | Class 1, grade 5, planted 50 trees, and the survival rate was 96%. How many trees did not survive? | <gadget id="calculator">96 / 100</gadget>
<output>24/25 = around 0.96</output>
<gadget id="calculator">1 - (24/25)</gadget>
<output>1/25 = around 0.04</output>
<gadget id="calculator">50 * (1/25)</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
aqua_rat__ismd8FkemikCmWFb | If a number N is chosen at random from the set of two-digit integers whose digits are both prime numbers, what is the probability E that N is divisible by 3?
Choices:
A) 1/3 B) ¼ C) 9/25 D) 5/16 E) 0 | Prime digits are: 2, 3, 5, 7 Total number of 2 digit #s with both digits prime are: 4*4=
<gadget id="calculator"> 4*4</gadget>
<output>16</output>
16 out of these numbers divisible by 3= 33, 27, 57, 72 and 75. I had to find the numbers manually using the 4 numbers above. => prob = 5/16. Ans D. Took me 3:... | D | calc |
aqua_rat__jespVmPhaIwq7Saw | The average of 1st 3 of 4 numbers is 16 and of the last 3 are 15. If the sum of the first and the last number is 13. What is the last numbers? Pick one:
A) 7
B) 6
C) 5
D) 4
E) 3 | A + B + 5 = 48 B + 5 + D = 45 A + D = 13 A – D = 3 A + D = 13 2D = 10 D = 5 Answer: 5
<result>C</result> | C | calc |
ape210k__00992603 | When Xiao Ming reads a storybook, he has already read 40% of the whole book, exactly 80 pages. How many pages are there in this storybook? | <gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">80 / (2/5)</gadget>
<output>200</output>
<result>200</result> | 200 | calc |
aqua_rat__IzdCfkwYjy1eqFjY | The number which exceeds 16% of it by 42 is?
Pick one
A) 50
B) 25
C) 52
D) 58
E) 60 | Let the number be x. Then, x - 16% of x = 42. x - 16/100 x = 42 x = (42 * 25)/21=
<gadget id="calculator">(42 * 25)/21</gadget>
<output>50</output>
50 50NSWER:50
<result>A</result> | A | calc |
aqua_rat__aAs7IXKkfx0DZxyC | Due to 10% decrease in the price of sugar and John can buy 5kg more sugar in Rs.100, then find the CP of sugar? Choose the correct choice from the following answers: A) Rs. 1(1/9) B) Rs. 2(2/9) C) Rs. 2(2/7) D) Rs. 2 E) Rs. 3(1/9) | Here r = 10 % ,x = 100 and A = 5 kg Actual price of sugar = 10*100/((100-10 )*5) = Rs. 2(2/9) Rs. 2(2/9)
<result>B</result> | B | calc |
aqua_rat__L4qRalHCSDlta5LJ | In the faculty of Reverse-Engineering, 226 second year students study numeric methods, 423 second year students study automatic control of airborne vehicles and 134 second year students study them both. How many students are there in the faculty if the second year students are approximately 70% of the total? Choices:
A... | Answer is E :736 Solution : Total number of students studying both are 423 + 226 - 134=
<gadget id="calculator">423 + 226 - 134</gadget>
<output>515</output>
515 (Subtracting the 134 since they were included in the both the other numbers already). So 70% of total is 515, so 100% is approx. 736.
<result>E</result> | E | calc |
ape210k__00008794 | A pile of conical yellow sand has a bottom area of 20m**2 and a height of 1.2m. Each cubic meter of yellow sand weighs 1.5 tons. How many tons does this pile of yellow sand weigh? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/3) * 20 * 1.5</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
aqua_rat__lob1YYUmw6LM5IUo | Exactly 3/7 of the people in the room are under the age of 21, and exactly 5/9 of the people in the room are over the age of 65. If the total number of the people in the room is greater than 50 and less than 100, how many people in the room are under the age of 21? Choose the correct choice from the following answers
A... | The total number of the people in the room must be a multiple of both 7 and 9 (in order 3/7 and 5/9 of the number to be an integer), thus the total number of the people must be a multiple of LCM of 7 and 9, which is 63. Since, the total number of the people in the room is greater than 50 and less than 100, then there... | A | calc |
ape210k__00682473 | There are 50 apple trees in the orchard, which are 40 fewer than pear trees. How many pear trees are there? | <gadget id="calculator">50 + 40</gadget>
<output>90</output>
<result>90</result> | 90 | calc |
math_qa__maOoNbP74rq44t4L | In a certain quiz that consists of 8 questions, each question after the first is worth 4 points more than the preceding question. If the 10 questions on the quiz are worth a total of 360 points, how many points is the third question worth?
Choose the correct choice from the following
A) 39 B) 40 C) 44 D) 48 E) 52 | <gadget id="calculator">360 / 10</gadget>
<output>36</output>
<gadget id="calculator">8 - 4</gadget>
<output>4</output>
<gadget id="calculator">4 - 1</gadget>
<output>3</output>
<gadget id="calculator">36 + 3</gadget>
<output>39</output>
<result>A</result> | A | calc |
ape210k__00284111 | An express train and a slow train depart from A and B oppositely at the same time, and the express train meets the slow train at (5/9) of the journey. The slow train continues to drive forward at a speed of 45 kilometers per hour, and it takes 2 hours to complete the remaining distance. How many kilometers are there be... | <gadget id="calculator">5 / 9</gadget>
<output>5/9 = around 0.555556</output>
<gadget id="calculator">2 / (5/9)</gadget>
<output>18/5 = around 3.6</output>
<gadget id="calculator">45 * (18/5)</gadget>
<output>162</output>
<result>162</result> | 162 | calc |
ape210k__00852057 | The worker uncle made bookshelves, and planned to make 17 books a day, and completed the task in 12 days. It actually took 8.5 days to complete the task. How many bookshelves did the worker uncle actually make every day? | <gadget id="calculator">12 / 8.5</gadget>
<output>1.411765</output>
<gadget id="calculator">17 * 1.411765</gadget>
<output>24.000005</output>
<result>24.000005</result> | 24.000005 | calc |
aqua_rat__hvYq6bhRlm7HvCEj | A man buys s cycle for $100 and sells it at a loss of 40%. What is the selling price of the cycle? Choices:
A) $50 B) $60 C) $70 D) $80 E) $90 | S.P. = 60% of the $100 = 60/100 * 100=
<gadget id="calculator">60/100 * 100</gadget>
<output>60</output>
$60 Answer is $60
<result>B</result> | B | calc |
ape210k__00225280 | It is known that 2012 is divided by some positive integers and the remainder is 10, how many such positive integers are there? | <result>13</result> | 13 | calc |
aqua_rat__WvYIV7YEsHyo0RAC | Tom opened a shop investing Rs.500. Jose joined him 2 months later, investing Rs.350. They earned a profit of Rs.1720 after completion of one year. What will be Jose's share of profit? Choose the correct choice from the following answers:
A) 80 B) 20 C) 30 D) 41 E) 15 | SoL = ~s- So 80nju’s share = [5/9] x 1720 = 80 80
<result>A</result> | A | calc |
ape210k__00460159 | The dividend is 576, the divisor is 6, what is the quotient? | <gadget id="calculator">576 / 6</gadget>
<output>96</output>
<result>96</result> | 96 | calc |
aqua_rat__VfdA3t9lloLcIJve | One card is drawn from a pack of 52 cards. What is the probability that the card drawn is either a red card or a king? Pick
A) 2/5 B) 3/13 C) 4/19 D) 7/13 E) 6/19 | Out of 52 cards there will be 26 red cards including 2 kings and 2 more kings. Total 28 probability= 28/52 = 7/13 Answer is 7/13
<result>D</result> | D | calc |
ape210k__00209125 | There are a total of 30 cars with 4 wheels and three-wheeled motorcycles with three wheels parked in the parking lot. These cars have a total of 100 wheels, so how many three-wheeled motorcycles are there? | <gadget id="calculator">30 * 3</gadget>
<output>90</output>
<gadget id="calculator">100 - 90</gadget>
<output>10</output>
<gadget id="calculator">4 - 3</gadget>
<output>1</output>
<gadget id="calculator">10 / 1</gadget>
<output>10</output>
<gadget id="calculator">30 - 10</gadget>
<output>20</output>
<result>20</re... | 20 | calc |
ape210k__00617814 | A cylindrical glass is filled with water, the water surface is 10 cm high, and the bottom area of the glass is 20 square centimeters. After putting a cube iron block with a side length of 4 cm into this glass, it is completely submerged. At this time, the water level is as high as for how much? | <gadget id="calculator">4 / 20</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">4 * 4 * (1/5)</gadget>
<output>16/5 = around 3.2</output>
<gadget id="calculator">(16/5) + 10</gadget>
<output>66/5 = around 13.2</output>
<result>66/5 = around 13.2</result> | 66/5 | calc |
ape210k__00549626 | What is the sum of the quotient of 0.2 divided by 1.56 and the product of three 0.4? | <gadget id="calculator">1.56 / 0.2</gadget>
<output>7.8</output>
<gadget id="calculator">0.4 * 0.4 * 0.4</gadget>
<output>0.064</output>
<gadget id="calculator">7.8 + 0.064</gadget>
<output>7.864</output>
<result>7.864</result> | 7.864 | calc |
aqua_rat__7oST6wOzvwPHqiDc | A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present Options:
A) 33 B) 37 C) 39 D) 40 E) 82 | Explanation: Let the mother's present age be x years. Then, the person's present age = years. 2(2x + 40) = 5(x + 8) x = 40 Answer: 40) 40
<result>D</result> | D | calc |
ape210k__00053755 | Xiao Lin is 12 years old this year, and his father is 42 years old this year. How many years later, his father's age is three times that of Xiao Lin. | <gadget id="calculator">42 - 12</gadget>
<output>30</output>
<gadget id="calculator">3 - 1</gadget>
<output>2</output>
<gadget id="calculator">30 / 2</gadget>
<output>15</output>
<gadget id="calculator">15 - 12</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
ape210k__00524841 | A cylinder with a height of 5 cm, if its height increases by 3 cm, then its surface area increases by 18.84 cm**2. What is the volume of the original cylinder? | <gadget id="calculator">18.84 / 3 / 3.14 / 2</gadget>
<output>1</output>
<gadget id="calculator">1 ** 2</gadget>
<output>1</output>
<gadget id="calculator">3.14 * 1 * 5</gadget>
<output>15.7</output>
<result>15.7</result> | 15.7 | calc |
aqua_rat__s8WX11SbJDpID771 | If a and b are prime numbers, which of the following CANNOT be the sum of a and b? Options
A) 5 B) 9 C) 23 D) 16 E) 13 | All answer choices but C are odd. In order odd number to be the sum of two prime numbers one must be even, so 2, and another odd. Now, 23=2+21. Since 21 is not a prime then 23 cannot be written as the sum of two prime numbers. Answer: 23
<result>C</result> | C | calc |
gsm8k__xw0kNgCghV442qs8 | Jasmine and her older sister Alexa went to the store to buy shoes. Alexa's shoes are twice as big as Jasmine's shoes. If Jasmine's shoe size is 7, what's the combined shoe size for both of them? | If Alexa's shoes are twice those of Jasmine, then her shoe size is 7 * 2 =
<gadget id="calculator">7*2</gadget>
<output>14</output>
14.
The total shoe size is 14 + 7=
<gadget id="calculator">14+7</gadget>
<output>21</output>
21.
<result>21</result> | 21 | calc |
ape210k__00676919 | Li Xiang and Zhou Ming used a 13m long rope to wrap around a big tree 10 times, leaving 0.44m left. What is the approximate diameter of the cross-sectional area of the trunk of this big tree? | <gadget id="calculator">13 - 0.44</gadget>
<output>12.56</output>
<gadget id="calculator">12.56 / 10 / 3.14</gadget>
<output>0.4</output>
<result>0.4</result> | 0.4 | calc |
ape210k__01098891 | The volume of a cube is 120 cubic decimeters, its width is 3dm, its height is 5dm, what is its length? | <gadget id="calculator">3 * 5</gadget>
<output>15</output>
<gadget id="calculator">120 / 15</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__00002295 | The water surface area of West Lake used to be 5.6 square kilometers, but it increased to 6.5 square kilometers after treatment. How many hectares has the water surface area of West Lake increased? | <gadget id="calculator">6.5 - 5.6</gadget>
<output>0.9</output>
<gadget id="calculator">0.9 * 100</gadget>
<output>90</output>
<result>90</result> | 90 | calc |
ape210k__01064291 | There are 60 bicycles in the garage, 25% more than motorcycles. How many motorcycles are there? | <gadget id="calculator">25 / 100</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">60 / (5/4)</gadget>
<output>48</output>
<result>48</result> | 48 | calc |
ape210k__00404015 | Pour 900L of water into a cuboid tank with a bottom area of 150dm**2 and a height of 10dm. What is the depth of the water? | <gadget id="calculator">900 / 150</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__00317795 | The area of a rectangle is 96 square decimeters, and its width is 8 decimeters. What is the length of this rectangle? | <gadget id="calculator">96 / 8</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
ape210k__00041688 | There is a cuboid container whose length, width, and height are 30 cm, 20 cm, and 25 cm (measured from the inside). After it is filled with water, it is poured into a cube glass tank. The water surface is 6 cm high. The bottom area of the cube glass tank is How many square centimeters is it. | <gadget id="calculator">25 / 6</gadget>
<output>25/6 = around 4.166667</output>
<gadget id="calculator">30 * 20 * (25/6)</gadget>
<output>2_500</output>
<result>2_500</result> | 2_500 | calc |
aqua_rat__xokIrLqG3gbSImzP | The perimeter of a square is 52 m. Find the area of the square. Choose the most appropriate option:
A) 161 m².
B) 164 m².
C) 166 m².
D) 169 m².
E) 273 m². | Perimeter of square = 52 m But perimeter of square = 4 × side Therefore, 4 × side = 52 m Therefore, side= 52/4=
<gadget id="calculator">52/4</gadget>
<output>13</output>
13m Now, the area of the square= (side × side) Therefore, area of the square = 13 × 13 m² = 169 m². ANSWER : OPTION 169 m².
<result>D</re... | D | calc |
aqua_rat__pUUGoJagzYTRDiuI | On increasing the price of T.V. sets by 70%, their sale decreases by 20%. What is the effect on the revenue receipts of the shop ? Options: A) 4 B) 5 C) 36 D) 2 E) 7 | Explanation: Let the price be = Rs.100, and number of units sold = 100 Then, sale value = Rs.(100 × 100) = Rs.10000 New sale value = Rs.(170 × 80) = Rs.13600 Increase% = 3600/10000 × 100 = 36% Answer: 36
<result>C</result> | C | calc |
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