id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00946875 | There is a rectangular vegetable field, which is 120 meters long and 6 times as long as it is wide. If a fence is built around this vegetable field, how many meters is the minimum required for the fence? | <gadget id="calculator">120 / 6</gadget>
<output>20</output>
<gadget id="calculator">120 + 20</gadget>
<output>140</output>
<gadget id="calculator">140 * 2</gadget>
<output>280</output>
<result>280</result> | 280 | calc |
ape210k__01185875 | A fraction is equal to (3/17) after being divided. It is known that the numerator of the original fraction is 42 smaller than the denominator. What is the original fraction? | <gadget id="calculator">17 - 3</gadget>
<output>14</output>
<gadget id="calculator">42 / 14</gadget>
<output>3</output>
<gadget id="calculator">17 * 3</gadget>
<output>51</output>
<gadget id="calculator">42 / 14 / 51</gadget>
<output>1/17 = around 0.058824</output>
<gadget id="calculator">3 * (1/17)</gadget>
<outpu... | 3/17 | calc |
aqua_rat__jdbqetb2wquJ4Rpn | A vessel of capacity 2 litre has 40% of alcohol and another vessel of capacity 6 litre had 60% alcohol. The total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water. What is the new concentration of Mixture?
Choose the correct choice from the... | 40% of 2 litres = 0.8 litres 60% of 6 litres = 3.6 litres Therefore, total quantity of alcohol is 4.4 litres. This mixture is in a 10 litre vessel. Hence, the concentration of alcohol in this 10 litre vessel is 44% 44%.
<result>B</result> | B | calc |
ape210k__00821715 | Use "*" to define a new operation: for any real number a, b, there is a*b=b**2+1, for example, 7*4=4**2+1=17, then 5*3; when m When it is a real number, m*(m*2)=how many. | <gadget id="calculator">5 ** 2</gadget>
<output>25</output>
<gadget id="calculator">25 + 1</gadget>
<output>26</output>
<result>26</result> | 26 | calc |
ape210k__00597898 | 34□ is both a multiple of 3 and a multiple of 5, what should be in □ | <result>5</result> | 5 | calc |
ape210k__00502912 | There are 4 children, one of them is one year older than the other, the product of the ages of the four is 360, how old is the oldest one? | <result>6</result> | 6 | calc |
ape210k__00536829 | 5 trucks transport 150 tons of cement 6 times, how many tons does one truck transport on average? | <gadget id="calculator">150 / 6 / 5</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
ape210k__00772507 | An engineering team completed 32% of the total length of the road in the first week, and 43% of the total length in the second week. It is known that a total of 1,800 meters were built in two weeks. How long is this road in meters? | <gadget id="calculator">32 / 100</gadget>
<output>8/25 = around 0.32</output>
<gadget id="calculator">43 / 100</gadget>
<output>43/100 = around 0.43</output>
<gadget id="calculator">(8/25) + (43/100)</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">1_800 / (3/4)</gadget>
<output>2_400</output>
<r... | 2_400 | calc |
aqua_rat__3Iw9eeZiJhhCw5yJ | In a two-digit number, if unit digit exceeds its ten's digit by 2 and the product of the given number and the sum of its digits is equal to 144, then what is the number? Answers.
A) 21 B) 22 C) 23 D) 24 E) 25 | Let the 10's digit be x.Then the units digit will be x+2. the number is 11x+2. The sum of the digits will be 2x+2 (11x+2)(2x+2)=144 Solving the quadratic eqn we get x=2;so the number is 24. ANSWER:24
<result>D</result> | D | calc |
aqua_rat__KlAy4cHSZVos5xIx | As a bicycle salesperson, David earns a fixed salary of $25 per week plus $6 per bicycle for the first 6 bicycles he sells, $12 per bicycle for the next 6 bicycles he sells, and $18 per bicycle for every bicycle sold after first 12. This week, he earned more than twice as much as he did last week. If he sold x bicycles... | II. y>x --> since this week, David earned more than he did last week and the total salary is in direct relationship with the # of bicycle sold, then y (# of bicycle sold this week) must be more than x (# of bicycle sold last week); III. y>1 --> if David sold 3 bicycles this week then this week he earned 2... | E | calc |
aqua_rat__Vr20Q2duy9Iiab9g | A project scheduled to be carried out over a single fiscal year has a budget of $12,000, divided into 12 equal monthly allocations. At the end of the fourth month of that fiscal year, the total amount actually spent on the project was $4,540. By how much was the project over its budget? Select: A) $380 B) $540 C) $1... | Difficulty level: 600 Each month's budget = 12000/12=
<gadget id="calculator">12000/12</gadget>
<output>1_000</output>
1000 $540udget for 4 months= 4*1000=
<gadget id="calculator">4*1000</gadget>
<output>4_000</output>
4000 Actual amount spent= 4540 Amount spent over the budget = 4540 - 4000=
<gadget id="cal... | B | calc |
ape210k__00332866 | □/□=□…5 has the smallest divisor, what is the correct number | <gadget id="calculator">5 + 1</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__01201273 | The sum of the minuend, the subtrahend and the difference is 14, the difference is 2, what is the subtrahend. | <gadget id="calculator">14 / 2</gadget>
<output>7</output>
<gadget id="calculator">7 - 2</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
aqua_rat__x1Utn6DC21OTbsBB | Two trains are moving in opposite directions at 60 km/hr and 90 km/hr. Their lengths are 1.25 km and 1.00 km respectively. The time taken by the slower train to cross the faster train in seconds is? Answers
A) 48 B) 9 C) 7 D) 67 E) 54 | : Relative speed = 60 + 90=
<gadget id="calculator">60 + 90</gadget>
<output>150</output>
150 km/hr.= 150 * 5/18 = 125/3 m/sec. Distance covered = 1.25 + 1.0=
<gadget id="calculator">1.25 + 1.0</gadget>
<output>2.25</output>
2.25 km= 2250 m. Required time = 2250 * 3/125=
<gadget id="calculator">2250 * 3/125</g... | E | calc |
ape210k__00486013 | The central angle of a sector is 18° and the radius is 10 cm. What is the area of the sector in square centimeters? | <gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">(1/20) * 3.14 * 9</gadget>
<output>1.413</output>
<result>1.413</result> | 1.413 | calc |
aqua_rat__fMTsAmjh9iagbEFR | Tough and Tricky questions: Ratios
3/5 of a certain class left on a field trip. 2/3 of the students who stayed behind did not want to go on the field trip (all the others did want to go). When another vehicle was located, 1/2 of the students who did want to go on the field trip but had been left behind were able to joi... | let total no. of students be 30 students left on a field trip = 3/5(30) =18 thus 12 students left behind 2/3(12)=8 students did not want to go. thus 4 students want to go on the trip 1/2(4)=2 were able to join the other students on the field trip. thus total number of students that went on a field trip =18+2=... | B | calc |
ape210k__01129505 | and B start to process a batch of parts at the same time. A alone will take 20 hours, and B alone will take 30 hours. Two people work together, A rests for 4 hours, and completes the task after 15 hours, so how many hours does B rest? | <gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">15 - 4</gadget>
<output>11</output>
<gadget id="calculator">(1/20) * 11</gadget>
<output>11/20 = around 0.55</output>
<gadget id="calculator">1 - (11/20)</gadget>
<output>9/20 = around 0.45</output>
<gadget id="calcu... | 3/2 | calc |
aqua_rat__rc0c0CBSTCHV5cpI | The integer x is divisible by both 10 and 15. Which of the following must be an integer? Choose the correct option: A) x/50 B) x/30 C) x/10 D) x/40 E) x/20 | Prime factorization of 10 = 5*2 Prime factorization of 15= 5*3 LCM of 10 and 15 = 5*2*3=
<gadget id="calculator">5*2*3</gadget>
<output>30</output>
30 Therefore x/30 must be an integer Answer x/30
<result>B</result> | B | calc |
ape210k__00914511 | There are 100 copies of a new book in Xinhua Bookstore, 62 copies are sold in the morning, and 29 copies are sold in the afternoon. How many copies are left? | <gadget id="calculator">62 + 29</gadget>
<output>91</output>
<gadget id="calculator">100 - 91</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
aqua_rat__RJ5QLdfmimUQ3jCg | Two trains 140 m and 210 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is?
Choose the correct choice from the following choices.
A) 12.6 sec
B) 10.1 sec
C) 10.6 sec
D) 10.8 sec
E) 10.2 sec | Relative speed = 60 + 40=
<gadget id="calculator">60 + 40</gadget>
<output>100</output>
100 km/hr.= 100 * 5/18 = 250/9 m/sec. Distance covered in crossing each other = 140 + 210=
<gadget id="calculator">140 + 210</gadget>
<output>350</output>
350 m. Required time= 350 * 9/250=
<gadget id="calculator">350 * 9/2... | A | calc |
aqua_rat__zcm3cDMpOeYu2wp3 | In a class, except 18 all are above 50 years.15 are below 50 years of age. How many people are there Answers: A) 30 B) 33 C) 36 D) can not be determined. E) none of these. | As per given statements, 15 are below 50 years of age. except 18 all are above 50 years. means 3 are of 50 years of age. there is no information about no of students above 50 years of age. so total no can not be determined. ANSWER:can not be determined.
<result>D</result> | D | calc |
ape210k__00220825 | After multiplying a number by 8, add (1/5) and divide by 4, the result is 1, what is the number? | <gadget id="calculator">1 / 5 / 4</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">8 / 4</gadget>
<output>2</output>
<gadget id="calculator">(19/20) / 2</gadget>
<output>19/40 = around 0.475</output>
<result>19/40 =... | 19/40 | calc |
ape210k__00064935 | Use mats to form a cylindrical grain storehouse with a ground circumference of 18.84 meters. How big is this food store? | <gadget id="calculator">18.84 / 3.14 / 2</gadget>
<output>3</output>
<gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">3.14 * 9</gadget>
<output>28.26</output>
<result>28.26</result> | 28.26 | calc |
ape210k__00494427 | What is the number that is 3 times less than 32 and more than 1/3 of 96 than 487? | <gadget id="calculator">32 * 3</gadget>
<output>96</output>
<gadget id="calculator">487 - 96</gadget>
<output>391</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">96 * (1/3)</gadget>
<output>32</output>
<gadget id="calculator">391 + 32</gadget>
<output>4... | 423 | calc |
aqua_rat__nfa6fEr7zZC7aQ30 | A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man?
Choose the correct choice from the following answers:
A) 5.99 km B) 5.88 km C) 5.76 km D) 5.83 km E) 9.44 km | M = 6 S = 1.2 DS = 7.2 US = 4.8 x/7.2 + x/4.8 = 1 x = 2.88 D = 2.88 * 2=
<gadget id="calculator">2.88 * 2</gadget>
<output>5.76</output>
5.76 Answer:5.76 km
<result>C</result> | C | calc |
aqua_rat__4gWGYDnpdAl4r6vw | At a certain diner, Joe ordered 3 doughnuts and a cup of coffee and was charged $ 2.25. Stella ordered 2 doughnuts and a cup of coffee and was charged $ 1.80. What is the price of 2 doughnuts? Choose the most appropriate option
A) $ 0.55
B) $ 1.00
C) $ 1.10
D) $ 0.90
E) $ 1.80 | 3$ 0.90 + C = 2.25......(1) 2$ 0.90 + C = 1.8........(2) (1) - (2) --> $ 0.90 = 0.45 --> 2$ 0.90 = 0.9 Answer: $ 0.90
<result>D</result> | D | calc |
ape210k__00027430 | The ratio of length, width and height of a cuboid is 3:2:5, its width is known to be 4 decimeters, what is its volume in cubic decimeters. | <gadget id="calculator">3 + 2 + 5</gadget>
<output>10</output>
<gadget id="calculator">2 / 10</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">4 / (1/5)</gadget>
<output>20</output>
<gadget id="calculator">3 / 10</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">5 / 10</gadget>
<... | 240 | calc |
ape210k__00136641 | There are 16 students in Class 1 of the third grade who ordered "I Love Science", and 20 students who ordered "The King of Stories", and 7 of them ordered these two books. How many people in class one of the third grade ordered these two kinds of books? | <gadget id="calculator">20 - 7</gadget>
<output>13</output>
<gadget id="calculator">16 + 13</gadget>
<output>29</output>
<result>29</result> | 29 | calc |
ape210k__00551088 | 4 groups planted 48 trees, each group planted ((())/(())) of these numbers on average, how many trees were planted by each group on average. | <gadget id="calculator">48 / 4</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
ape210k__00611173 | The volume of a cuboid is 6400cm**3, the area of the bottom is 64cm**2, what is the height in cm. | <gadget id="calculator">6_400 / 64</gadget>
<output>100</output>
<result>100</result> | 100 | calc |
aqua_rat__gMGCzzDo5iZEtyAq | If two of the four expressions x+y, x+5y, x-y, and 5x-y are chosen at random, what is the probability T that their product will be of the form of x^2-(by)^2, where b is an integer? Choose the correct choice from the following answers:
A) 1/2 B) 1/3 C) 1/4 D) 1/5 E) T=1/6 | Only (X+y)(x-y) pair will give the form x^2-(by)^2 The probability of selecting these two pairs are 1/4 * 1/3 = 1/12, assuming x+y is picked first, then x-y, but x-y can be picked first followed by x+y. So the probability T= 1/12 * 2 = 1/6 Ans T=1/6
<result>E</result> | E | calc |
ape210k__00338371 | Dad took the train from Tianjin at 13:30 to Jinan at 15:30, and traveled a total of 360 kilometers. How many kilometers does the train travel on average per hour? | <gadget id="calculator">15.5 - 13.5</gadget>
<output>2</output>
<gadget id="calculator">360 / 2</gadget>
<output>180</output>
<result>180</result> | 180 | calc |
ape210k__00364166 | The engineering team has built a road that is 9 kilometers long, and the remaining length is 3 kilometers longer than what has been repaired. How long is this road in kilometers? | <gadget id="calculator">9 * 3</gadget>
<output>27</output>
<gadget id="calculator">27 + 3</gadget>
<output>30</output>
<gadget id="calculator">9 + 30</gadget>
<output>39</output>
<result>39</result> | 39 | calc |
ape210k__00292787 | If the purchase price of a piece of clothing is 120 yuan, and you can still earn 32 yuan if you sell it at 20% off the marked price, what is the marked price? | <gadget id="calculator">120 + 32</gadget>
<output>152</output>
<gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">152 / (4/5)</gadget>
<output>190</output>
<result>190</result> | 190 | calc |
math_qa__O2WiadPTlxBnkm4U | There are 60 supermarkets in the FGH chain. All of them are either in the US or Canada. If there are 14 more FGH supermarkets in the US than in Canada, how many FGH supermarkets are there in the US? Choose the correct choice.
A) 20 B) 37 C) 42 D) 53 E) 64 | <gadget id="calculator">60 + 14</gadget>
<output>74</output>
<gadget id="calculator">74 / 2</gadget>
<output>37</output>
<result>B</result> | B | calc |
ape210k__01211571 | The actual distance between Beijing and Tianjin is 120 kilometers. On a map with a scale of (1/5000000), what is the distance in centimeters between the two places on the map? | <gadget id="calculator">1 / 5_000_000</gadget>
<output>1/5_000_000 = around 0</output>
<gadget id="calculator">120 * 100_000 * (1/5_000_000)</gadget>
<output>12/5 = around 2.4</output>
<result>12/5 = around 2.4</result> | 12/5 | calc |
ape210k__00514493 | There are 130 books on the upper shelf and 68 books on the lower shelf. How many books are taken from the upper shelf and placed on the lower shelf, so that the number of books on the two floors is the same? | <gadget id="calculator">130 - 68</gadget>
<output>62</output>
<gadget id="calculator">62 / 2</gadget>
<output>31</output>
<result>31</result> | 31 | calc |
ape210k__00800325 | A cone-shaped pile of sand has a circumference of 6.28 meters and a height of 0.6 meters. How long can this pile of sand pave a 5-centimeter-thick road on a 4-meter-long road? | <gadget id="calculator">6.28 / 2 / 3.14</gadget>
<output>1</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 ** 2</gadget>
<output>1</output>
<gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">4 * (1/20)... | 3.14 | calc |
ape210k__00201033 | simple fraction, its numerator is reduced by 3 times and its denominator is enlarged by 5 times can be reduced to (2/7). What is the original fraction? | <gadget id="calculator">2 / 7</gadget>
<output>2/7 = around 0.285714</output>
<gadget id="calculator">(2/7) * 5 * 3</gadget>
<output>30/7 = around 4.285714</output>
<result>30/7 = around 4.285714</result> | 30/7 | calc |
aqua_rat__xrlg4owQfQNC1Hji | What is the decimal equivalent of (1/4)^4? Choose one.
A) 0.0039 B) 0.0625 C) 0.16 D) 0.25 E) 0.5 | (1/4)^4 = 1/256 = 0.0039 0.0039nswer : 0.0039
<result>A</result> | A | calc |
ape210k__00562661 | 25*976=976*how much. | <result>25</result> | 25 | calc |
ape210k__00612931 | Use a piece of rectangular paper with a length of 24 cm and a width of 8 cm to form a cylinder. What is the lateral area of the cylinder in square centimeters? | <gadget id="calculator">24 * 8</gadget>
<output>192</output>
<result>192</result> | 192 | calc |
ape210k__00380697 | 64/how much=5...4. | <gadget id="calculator">64 - 4</gadget>
<output>60</output>
<gadget id="calculator">60 / 5</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
ape210k__00115713 | The lengths of two adjacent sides of a parallelogram are 12cm and 8cm respectively, and the height of one side is 10cm. What is the area of the parallelogram in cm**2. | <gadget id="calculator">8 * 10</gadget>
<output>80</output>
<result>80</result> | 80 | calc |
ape210k__00006499 | A cuboid has a surface area of 72m**2, a base area of 12m**2, and a width of 6m. What is the volume of this cuboid? | <gadget id="calculator">12 / 6</gadget>
<output>2</output>
<gadget id="calculator">12 * 2</gadget>
<output>24</output>
<gadget id="calculator">72 - 24</gadget>
<output>48</output>
<gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">6 * 2</gadget>
<output>12</output>
<gadget id="calcul... | 36 | calc |
ape210k__01039725 | In □□/□=10...5, when the divisor is the largest, what is the dividend. | <gadget id="calculator">10 * 9</gadget>
<output>90</output>
<gadget id="calculator">90 + 5</gadget>
<output>95</output>
<result>95</result> | 95 | calc |
ape210k__00988425 | A kind of U disk, each price has been reduced from 400 yuan to 250 yuan, how much has the price of this U disk been reduced? | <gadget id="calculator">400 - 250</gadget>
<output>150</output>
<gadget id="calculator">150 / 400</gadget>
<output>3/8 = around 0.375</output>
<result>3/8 = around 0.375</result> | 3/8 | calc |
aqua_rat__vxuoAfQ5drnPk5E9 | There are 5 burglars and once went to a bakery to rob it obviously. The first guy ate 1/2 of the total bread and 1/2 of the bread. The second guy ate 1/2 of the remaining and 1/2 of the bread. The third guy ,fourth guy and fifth guy did the same. After fifth guy there is no bread left out. How many bread are there? Cho... | (1/2 + 1/2)=
<gadget id="calculator">(1/2 + 1/2)</gadget>
<output>1</output>
1 2(1 + 1/2)= 3 2(3 + 1/2) = 7 2(7 + 1/2) = 15 2(15 + 1/2) = 31 ANSWER:31
<result>B</result> | B | calc |
math_qa__dyosqQxBUwPHb3S0 | A man can do a piece of work in 4 days, but with the help of his son he can do it in 3 days. In what time can the son do it alone ? Select the correct option:
A) 12 days
B) 6 days
C) 5 days
D) 4 days
E) none of these | <gadget id="calculator">4 * 3</gadget>
<output>12</output>
<gadget id="calculator">4 - 3</gadget>
<output>1</output>
<gadget id="calculator">12 / 1</gadget>
<output>12</output>
<result>A</result> | A | calc |
aqua_rat__KA8lbanIH8QlAQmZ | A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 14km?
Choose the correct choice from the following choices:
A) 3
B) 6
C) 8
D) 9
E) 7 | M = 4 S = 2 US = 4 - 2=
<gadget id="calculator">4 - 2</gadget>
<output>2</output>
2 D= 14 T = 14/2=
<gadget id="calculator">14/2</gadget>
<output>7</output>
7 Answer:7
<result>E</result> | E | calc |
gsm8k__wOefa6XHPjNX4R5T | The number of cards in a card game was 500. Two friends Ellis and Orion, playing together, divided the cards in the ratio of 11:9. How many more cards did Ellis get than Orion? | The total ratio representing the 500 cards is 11+9 =
<gadget id="calculator">11+9</gadget>
<output>20</output>
20.
The fraction of the total ratio that represents the number of cards that Ellis got is 11/20, and since there were 500 cards, Ellis got 11/20*500 =
<gadget id="calculator">11/20*500</gadget>
<output>275</... | 50 | calc |
ape210k__00818385 | The Xinhua Farm Tool Factory plans to produce a batch of farm tools. 360 pieces have been produced, and 900 pieces are left. What percentage of the annual plan is left to be completed? | <gadget id="calculator">360 + 900</gadget>
<output>1_260</output>
<gadget id="calculator">900 / 1_260</gadget>
<output>5/7 = around 0.714286</output>
<result>5/7 = around 0.714286</result> | 5/7 | calc |
ape210k__00247166 | To pave a rectangular floor with a length of 5 meters and a width of 4 meters, how many square floor tiles with a side length of 5 decimeters are required. | <gadget id="calculator">5 * 4</gadget>
<output>20</output>
<gadget id="calculator">5 / 10</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) * (1/2)</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">20 / (1/4)</gadget>
<output>80</output>
<result>80</result> | 80 | calc |
aqua_rat__YTFfiGzDtIXQLf2s | A technician makes a round-trip to and from a certain service center by the same route. If the technician completes the drive to the center and then completes 30 percent of the drive from the center, what percent of the round-trip has the technician completed?
Choose one
A) 5%
B) 10%
C) 25%
D) 40%
E) 65% | The complete round trip consists of driving to the service center and then back home again. So, once the technician drives to the service center he/she has already competed 50% of the entire trip. Since the technician completes a portion of the trip back home,the correct answer must be greater than 50% so 0.5+0.... | E | calc |
ape210k__00715389 | There is a parallelogram-shaped melon field, the bottom is 22 meters long, which is twice the height. If 5 melon seedlings are planted per square meter, how many melon seedlings can be planted in total? | <gadget id="calculator">22 / 2</gadget>
<output>11</output>
<gadget id="calculator">22 * 11 * 5</gadget>
<output>1_210</output>
<result>1_210</result> | 1_210 | calc |
ape210k__01206057 | The TV set costs 880 yuan, which is 8 times that of the electric fan. How much is the electric fan? | <gadget id="calculator">880 / 8</gadget>
<output>110</output>
<result>110</result> | 110 | calc |
aqua_rat__nErOZxcfkfyaWkui | Find the least number of complete years in which a sum of money put out at 13% compound interest will be more than double of itself? Choose the correct choice from the following
A) 5
B) 6
C) 7
D) 8
E) 9 | 6 years Answer: 6
<result>B</result> | B | calc |
ape210k__00630856 | In a mathematics competition, there were 42 winners in the sixth grade, and 5 more winners in the fifth grade than in the sixth grade (3/7). How many people in the fifth grade won the prize? | <gadget id="calculator">3 / 7</gadget>
<output>3/7 = around 0.428571</output>
<gadget id="calculator">42 * (3/7)</gadget>
<output>18</output>
<gadget id="calculator">18 + 5</gadget>
<output>23</output>
<result>23</result> | 23 | calc |
ape210k__00421547 | x/0.1=0.1, the solution of this equation is x=how much | <gadget id="calculator">1 / 0.1</gadget>
<output>10</output>
<gadget id="calculator">0.1 / 10</gadget>
<output>0.01</output>
<result>0.01</result> | 0.01 | calc |
aqua_rat__TC1AUZoAgy0xDW4B | How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 170 m in length?
Choose the correct choice from the following answers: A) 16.6 B) 16.0 C) 16.3 D) 16.8 E) 16.1 | 16.8 = 110 + 170=
<gadget id="calculator">110 + 170</gadget>
<output>280</output>
280 m S= 60 * 5/18 = 50/3 T = 280 * 3/50=
<gadget id="calculator">280 * 3/50</gadget>
<output>84/5 = around 16.8</output>
16.8 sec Answer: 16.8
<result>D</result> | D | calc |
ape210k__00758435 | Xiaoming and his father are going to visit the zoo. Dad takes out 50 yuan and gets back 0.5 yuan. Xiaoming's fare is half of his father's fare. How much is Xiaoming's fare? | <gadget id="calculator">50 - 0.5</gadget>
<output>49.5</output>
<gadget id="calculator">1 + 2</gadget>
<output>3</output>
<gadget id="calculator">49.5 / 3</gadget>
<output>16.5</output>
<result>16.5</result> | 16.5 | calc |
aqua_rat__57fI7rjgPLmXckYg | The distance between A&B is 600km. A person is traveling from A to B at 70km/hr started at 10AM and another person is traveling from B to A at 80km/hr and started at same time. Then at what time they meet together.
Select the correct option
A) 2PM
B) 4PM
C) 1PM
D) 3PM
E) 5PM | Let x hours be they will meet together distance covered by 1st person+distance covered by 2nd person = 600km 70x+80x = 600 x= 4 hr They will meet = 102PMM +4hr = 2PM 2PMnswer is 2PM
<result>A</result> | A | calc |
ape210k__00225712 | The father is 30 years older than the son. Five years ago, the ratio of the age of the father to the age of the son was 4:1. What is the age of the son? | <gadget id="calculator">4 - 1</gadget>
<output>3</output>
<gadget id="calculator">30 / 3</gadget>
<output>10</output>
<gadget id="calculator">10 + 5</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
ape210k__00195175 | The difference between two numbers is 32. If the minuend increases by 6 and the subtrahend decreases by 3, what is the difference between them? | <gadget id="calculator">6 + 3</gadget>
<output>9</output>
<gadget id="calculator">32 + 9</gadget>
<output>41</output>
<result>41</result> | 41 | calc |
ape210k__01022167 | To process a batch of parts, just complete (1/2) of the total number in 10 days, and complete ((())/(())) of the total number every day. | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) / 10</gadget>
<output>1/20 = around 0.05</output>
<result>1/20 = around 0.05</result> | 1/20 | calc |
aqua_rat__nvrMLs309bect9b5 | When sold at a 60% discount, a sweater nets the merchant a 35% profit on the wholesale cost at which he initially purchased the item. By what % is the sweater marked up from wholesale at its normal retail price? Choose the correct choice: A) 20% B) 40% C) 50% D) 70.38% E) 100% | we should be careful about what are we measuring % on/what is the base.. let the Marked up price =100.. Selling price= 100-60%of 100=40.. profit= 35%.. therefore the wholesale purchase cost= x.... 1.35x=40 or x=29.62... marked price was 100 so ... so answer is 70.38%.. 70.38%
<result>D</result> | D | calc |
ape210k__00066228 | If the side length of a cube is enlarged by 20%, its surface area will be enlarged by how much | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 + (1/5)</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">1 * (6/5)</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">(6/5) * (6/5) * 6</gadget>
<output>216/25 = around 8.64</output... | 11/25 | calc |
ape210k__00202840 | The radius of a circle is 4 cm, what is the circumference of a semicircle equal to the radius of this circle? | <gadget id="calculator">4 / 2</gadget>
<output>2</output>
<gadget id="calculator">2 * 3.14 * 2</gadget>
<output>12.56</output>
<gadget id="calculator">4 * 2</gadget>
<output>8</output>
<gadget id="calculator">12.56 + 8</gadget>
<output>20.56</output>
<result>20.56</result> | 20.56 | calc |
aqua_rat__ki1OlWN9Xas3lux1 | Tickets numbered from 1 to 24 are mixed and then a ticket is selected randomly. What is the probability that the selected ticket bears a number which is a multiple of 3? Choose the correct choice: A) 1/3 B) 2/5 C) 3/10 D) 3/7 E) 1/7 | Here, S = [1, 2, 3, 4, …., 19, 20, 21, 22, 23, 24] Let E = event of getting a multiple of 3 = [3, 6, 9, 12, 15, 18, 21, 24] P (E) = n (E) / n (S) = 8 / 24 = 1/3 The answer is 1/3.
<result>A</result> | A | calc |
ape210k__00258287 | What is the number that is 1.3 more than 34.72 | <gadget id="calculator">34.72 + 1.3</gadget>
<output>36.02</output>
<result>36.02</result> | 36.02 | calc |
ape210k__00336929 | A travels 9 kilometers per hour, and B travels 3 kilometers less than A per hour. The two travel from two places 20 kilometers apart at the same time, and after a few hours, the distance between the two is 80 kilometers. | <gadget id="calculator">80 - 20</gadget>
<output>60</output>
<gadget id="calculator">9 - 3</gadget>
<output>6</output>
<gadget id="calculator">6 + 9</gadget>
<output>15</output>
<gadget id="calculator">60 / 15</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
aqua_rat__kyFt5itJnV8d6yWW | X can finish a work in 18 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work? Pick.
A) 5 B) 4 C) 6 D) 7 E) 8 | Work done by X in 1 day = 1/18 Work done by Y in 1 day = 1/15 Work done by Y in 10 days = 10/15 = 2/3 Remaining work = 1 – 2/3 = 1/3 Number of days in which X can finish the remaining work = (1/3) / (1/18)=
<gadget id="calculator">(1/3) / (1/18)</gadget>
<output>6</output>
6 6
<result>C</result> | C | calc |
ape210k__00920983 | A workshop produces 2,200 parts this month, which is 10% more than last month. How many parts were produced last month? | <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">2_200 / (11/10)</gadget>
<output>2_000</output>
<result>2_000</result> | 2_000 | calc |
ape210k__00474649 | What is the area of the largest square surrounded by a wire 20 meters long? | <gadget id="calculator">20 / 4</gadget>
<output>5</output>
<gadget id="calculator">5 * 5</gadget>
<output>25</output>
<result>25</result> | 25 | calc |
aqua_rat__Z89tUlBFI7Nnitm9 | The ratio of the present age of Sandy to that of Molly is 9:2. Sixteen years from now, the ratio of the ages of Sandy to Molly will be 5:2. What was Sandy's age 6 years ago? Choose the correct choice
A) 30
B) 36
C) 42
D) 48
E) 54 | Let the present age of Sandy be 9x years and that of Molly be 2x years. (9x + 16) / (2x + 16) = 5 / 2 8x = 48 x = 6 Six years ago, Sandy's age was 9(6) - 6 = 48 The answer is 48.
<result>D</result> | D | calc |
ape210k__00774839 | New Century spent a total of 288 yuan to wholesale 4 boxes of apples, each weighing 24kg. What is the wholesale price of apples per kilogram? | <gadget id="calculator">288 / 4 / 24</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
ape210k__00413279 | If five identical cubes are put together to form a cuboid, and the surface area is reduced by 40 m2, what is the surface area of each original cube? | <gadget id="calculator">40 / 8</gadget>
<output>5</output>
<gadget id="calculator">5 * 6</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
aqua_rat__mSqKoDhrr1fQWyUB | A circular path of 20 m radius has marginal walk 2 m wide all round it. Find the cost of leveling the walk at 25p per m2? Choose the correct choice from the following answers.
A) Rs.49 B) Rs.40 C) Rs.44 D) Rs.42 E) Rs.66 | Rs.66xplanation: π (22^2 - 20^2) = 22/7 *(484-400)=
<gadget id="calculator">22/7 *(484-400)</gadget>
<output>264</output>
264 264 * 1/4= Rs.66 Answer: Option Rs.66
<result>E</result> | E | calc |
gsm8k__NaGyUlo43pX3fyDh | Matt has a peanut plantation that is 500 feet by 500 feet. 1 square foot of peanuts can make 50 grams of peanuts. If it takes 20 grams of peanuts to make 5 grams of peanut butter and 1 kg of peanut butter sells for $10 how much does he make from his plantation? | His plantation is 500*500=
<gadget id="calculator">500*500</gadget>
<output>250_000</output>
250,000 square feet.
That means he gets 250,000*50=
<gadget id="calculator">250000*50</gadget>
<output>12_500_000</output>
12,500,000 grams of peanuts.
So he makes 12,500,000*5/20=
<gadget id="calculator">12500000*5/20</gadget>... | 31_250 | calc |
aqua_rat__GEXOiPREUh5wS0BZ | A sports retailer ordered white and yellow tennis balls in equal number but the dispatch clerk of the tennis ball company erred and dispatched 50 extra yellow balls and making ratio of white balls to yellow balls 7/11. How many tennis balls did the retailer order originally.
Choose the correct choice from the following... | White:Yellow = x:(x+50) = 7:11 --> 11x = 7x + 350 --> x = 87.5. The total # of balls originally x + x = 87.5 + 87.5=
<gadget id="calculator">87.5 + 87.5</gadget>
<output>175</output>
175. Answer: 175.
<result>C</result> | C | calc |
ape210k__00528139 | A classroom is 12 meters long, 7 meters wide, and 4 meters high. To paint the ceiling and four walls of the classroom, the area excluding doors, windows and blackboards is 30.5 square meters, and an average of 0.3 kilograms of lime is used per square meter. How many kilograms of lime are needed in total? | <gadget id="calculator">12 * 7</gadget>
<output>84</output>
<gadget id="calculator">12 * 4</gadget>
<output>48</output>
<gadget id="calculator">7 * 4</gadget>
<output>28</output>
<gadget id="calculator">48 + 28</gadget>
<output>76</output>
<gadget id="calculator">76 * 2</gadget>
<output>152</output>
<gadget id="ca... | 61.65 | calc |
ape210k__00119304 | Wang Hua deposited 1,000 yuan of New Year's money in the bank for two years, with an annual interest rate of 4.23%. How much can he get back the principal and after-tax interest after two years? (Interest tax is paid at 5%) | <gadget id="calculator">4.23 / 100</gadget>
<output>0.0423</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">1_000 * 0.0423 * 2 * (19/20)</gadget>
<output>80.37</output>
<gadg... | 1_080.37 | calc |
ape210k__00240560 | How many digits "0" are needed to arrange the page numbers of a 400-page book? | <gadget id="calculator">20 * 3</gadget>
<output>60</output>
<gadget id="calculator">1 + 10 + 60</gadget>
<output>71</output>
<result>71</result> | 71 | calc |
aqua_rat__lFhYSJgLeRjgvJz6 | Solve the given two equations and find the inequality of X and Y. (a) x^2 = 729 and (b) Y= (729)^(1/2)
Choose one:
A) If x>y B) If x>=y C) If x<y D) If x<=y E) x=y or relationship cannot be established | Solution:- X=+27, -27 and Y= +27 Comparing we get X<=Y If x<=y
<result>D</result> | D | calc |
ape210k__00108766 | Xiao Ming helps his mother boil water and make tea for the guests. How long does it take at least for the guests to drink tea? (Boiling water for 9 minutes, washing tea cups for 3 minutes, receiving water for 2 minutes, looking for tea leaves for 2 minutes, brewing tea for 1 minute) | <gadget id="calculator">2 + 9 + 1</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
ape210k__00560809 | Xiaoqing bought a piece of clothing with a 20% discount and saved 60 yuan, so how much did she actually spend on this piece of clothing? | <gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">60 * (4/5)</gadget>
<output>48</output>
<gadget id="calculator">1 - (4/5)</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">48 / (1/5)</gadget>
<output>240</output>
<result>240</result> | 240 | calc |
ape210k__01108591 | Mom goes shopping in the mall. It costs 8.6 yuan to buy towels, which is 2.7 yuan less than buying washing powder. How much does it cost to buy washing powder? | <gadget id="calculator">8.6 + 2.7</gadget>
<output>11.3</output>
<result>11.3</result> | 11.3 | calc |
aqua_rat__YKON391n1szOk08a | In a certain office 1/3 of the workers are women ½ of the women are married and 1/3 of the married women have children if ¾ of the men are married and 2/3 of the married men have children what part of workers are without children? Choose one
A) 11/18 B) 12/18 C) 13/18 D) 10/18 E) None of them | Let the total no of workers be x No of women =x/3 No of men =x-(x/3)=2x/3 No of women having children =1/3 of ½ ofx/3=x/18 No of men having children=2/3 of ¾ of2x/3=x/3 No of workers having children = x/8 +x/3=7x/18 Workers having no children=x-7x/18=11x/18=11/18 of all wprkers 11/18nswer is 11/18.
<resul... | A | calc |
ape210k__01195127 | A 32-meter long iron wire is folded in half three times, what is the length of each section? | <gadget id="calculator">2 ** 3</gadget>
<output>8</output>
<gadget id="calculator">32 / 8</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
ape210k__00974145 | There are 8 groups that learn from Lei Feng to do good deeds for the community, with an average of 6 people in each group, and a total of 96 good deeds. How many good deeds do each person have on average? | <gadget id="calculator">6 * 8</gadget>
<output>48</output>
<gadget id="calculator">96 / 48</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
ape210k__00204545 | Both Xiao Ming and Xiao Jing donated to the Hope Project, 75% of Xiao Ming’s donation is the same as Xiao Jing’s (3/8), Xiao Ming’s donation is Xiao Jing’s | <gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">(3/8) / 0.75</gadget>
<output>0.5</output>
<result>0.5</result> | 0.5 | calc |
aqua_rat__ObvumSsM1DYugn7R | What percent is 36 paisa's of 12 rupees? Choose one.
A) 3 % B) 4 % C) 5 % D) 6 % E) 7 % | 12 Rupees = 1200paisa's 36/1200 × 100 = 3/12 12/3 = 3 % 3 %
<result>A</result> | A | calc |
ape210k__01039965 | Use 2600 kg of wheat to grind 2184 kg of flour. What is the flour extraction rate of wheat? | <gadget id="calculator">2_184 / 2_600</gadget>
<output>21/25 = around 0.84</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(21/25) * 1</gadget>
<output>21/25 = around 0.84</output>
<result>21/25 = around 0.84</result> | 21/25 | calc |
math_qa__QtS6AA66S1ISehpJ | The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 16000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is: Choose the correct choice from the following.
A) 22 B) 21 C) 35 D) 37 E) 29 | <gadget id="calculator">16_000 - 8_000</gadget>
<output>8_000</output>
<gadget id="calculator">7 * 8_000</gadget>
<output>56_000</output>
<gadget id="calculator">8_000 - 6_000</gadget>
<output>2_000</output>
<gadget id="calculator">56_000 / 2_000</gadget>
<output>28</output>
<gadget id="calculator">7 + 28</gadget>
... | C | calc |
ape210k__01105313 | A children's TV series is broadcast for 252 minutes in total and divided into 8 episodes. How long is each episode? | <gadget id="calculator">252 / 8</gadget>
<output>63/2 = around 31.5</output>
<result>63/2 = around 31.5</result> | 63/2 | calc |
ape210k__00518708 | Distribute 24 apples to 6 students on average, how many apples each student gets. | <gadget id="calculator">24 / 6</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
ape210k__00344204 | cone with a height of 5 cm is vertically cut into two equal parts along its height, and the area of the cross-section is known to be 0.2 square decimeters, then, what is the diameter of the base of the cone in cm? | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">0.2 * 100 * (2/5)</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__00497669 | The grocery store brought a batch of green vegetables. There are 60 baskets of tomatoes, 3/4 of the baskets of beans, and 1/5 of the baskets of beans. How many baskets of cucumbers are shipped? | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(1/5) / (3/4)</gadget>
<output>4/15 = around 0.266667</output>
<gadget id="calculator">60 * (4/15)</gadget>
<output>16</output>
<result>16</resul... | 16 | calc |
mawps__aot99LQ0o4Iz2GM2 | Garland had some apricot. Mathilde took 50 from him. Now Garland has 94 apricot. How many apricot Garland had incipiently? | <gadget id="calculator">94 + 50</gadget>
<output>144</output>
<result>144</result> | 144 | calc |
aqua_rat__wQavmwhnkqgRr6cJ | A 4-letter code word consists of letters O, U, AND P. If the code includes all the three letters, how many such codes are possible? Choose the correct choice.
A) 72 B) 48 C) 4 D) 84 E) 36 | Note that the correct answer to this question is 36, not 72. O-OUP can be arranged in 4!/2!=12 ways; U-OUP can be arranged in 4!/2!=12 ways; P-OUP can be arranged in 4!/2!=12 ways; Total: 12+12+12=
<gadget id="calculator"> 12+12+12</gadget>
<output>36</output>
36. Answer: 36
<result>E</result> | E | calc |
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