id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
aqua_rat__JqCzeV78UQUj8RFX | A pet groomer has 7 animals to groom for the day (2 cats and 5 dogs). If she randomly selects 4 animals to groom before lunch, what is the probability she will finish all the cats before lunch?
Choose the correct choice from the following options
A) 3/7 B) 2/7 C) 12/13 D) 5/11 E) 4/7 | Combination Probability Formula: nCr = n!/[r!(n-r)!] Total possible, select 4 animals from 7 animals = 7C4 = 7!/[4!(7 - 4)!] = 35. To finish all 2 cats there must be 2 dogs, select 2 dogs from 5 = 5C2 = 10. And, select 2 cats from 2 = 2C2 = 1. 2 cats and 2 dogs = (1)(10) = 10 Probability = (number outcomes fa... | B | calc |
ape210k__00047438 | The turnover of a store last year was 6 million yuan, and the business tax was paid at 5% of the turnover. How much is the tax? | <gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">600 * (1/20)</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
ape210k__01217759 | To cut out the largest square from a rectangle with a length of 10 cm and a width of 6 cm, what shape is left? What is its area in square centimeters? | <gadget id="calculator">10 - 6</gadget>
<output>4</output>
<gadget id="calculator">6 * 4</gadget>
<output>24</output>
<result>24</result> | 24 | calc |
aqua_rat__abNevJRGC3fifbta | A and B together have $ 1210. If of A's amount is equal to of B's amount, how much amount does B have? Options:
A) $400 B) $489 C) $484 D) $365 E) %342 | (4/15)A=(2/5)B =>A=((2/5)*(15/4))B =>A=(3/2)B =>A/B=3/2 A:B=3:2 B's share=rs.(1210*(2/5))=$484 Option $484
<result>C</result> | C | calc |
ape210k__00603277 | A piece of cylindrical wood with a volume of 62.7 cubic decimeters is cut into the largest cone, what is the volume of the cut part? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 - (1/3)</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">62.7 * (2/3)</gadget>
<output>41.8</output>
<result>41.8</result> | 41.8 | calc |
aqua_rat__IALMIdXFylAuJ0RS | A container contains 40 liters of milk, From this container 4 liters of milk was taken out and replaced by water. This process was repeated further 2 times. How much milk is now contained by the container?
Choose the correct choice from the following
A) 25.5 liters B) 29.16 liters C) 30.98 liters D) 42.15 liters E) 48.... | Amount of milk left after 3 operations = 40 (1 - 4/40)^3 = 40 * 9/10 * 9/10 * 9/10=
<gadget id="calculator">40 * 9/10 * 9/10 * 9/10</gadget>
<output>729/25 = around 29.16</output>
29.16 liters Answer is 29.16 liters
<result>B</result> | B | calc |
ape210k__00538027 | The original price of a set of popular science books is 200 yuan, and it is sold at a 15% discount on the June 1st promotion. How much cheaper is it to buy this set of popular science books now? | <gadget id="calculator">85 / 100</gadget>
<output>17/20 = around 0.85</output>
<gadget id="calculator">1 - (17/20)</gadget>
<output>3/20 = around 0.15</output>
<gadget id="calculator">200 * (3/20)</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
ape210k__00496723 | A pile of coal weighs (11/3) tons, and (5/3) tons are removed on the first day, which is (1/6) tons less than on the second day. How many tons are removed in total in two days? | <gadget id="calculator">5 / 3</gadget>
<output>5/3 = around 1.666667</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(5/3) + (1/6)</gadget>
<output>11/6 = around 1.833333</output>
<gadget id="calculator">(5/3) + (11/6)</gadget>
<output>7/2 = around 3.5</... | 7/2 | calc |
aqua_rat__ptH6BZRHPiYWtXpX | Car A is 24 miles behind car B, which is traveling in the same direction along the same route as Car A.Car A is traveling at a constant speed of 58 miles per hour and Car Bis traveling at a constant speed of 50miles per hour.How many hours will it take for Car A to overtake and drive 8 miles ahead of Car B? Answers:
A)... | Relative speed of car A is 58-50=
<gadget id="calculator">58-50</gadget>
<output>8</output>
8 miles per hour, to catch up 24 miles and drive 8 miles ahead so to drive 32 miles it'll need 32/8=
<gadget id="calculator">32/8</gadget>
<output>4</output>
4 hours. Answer: 4.0.
<result>E</result> | E | calc |
ape210k__00097062 | This year (2012) the 30th Olympic Games will be held in London, England. How many days are there in this year? | <result>366</result> | 366 | calc |
ape210k__00182506 | Given a waterway of 80 kilometers, it takes 4 hours for ship A to travel downstream, and 10 hours to travel upstream. If it takes 5 hours for ship B to travel downstream, how many hours does it take for ship B to travel upstream? | <gadget id="calculator">80 / 5</gadget>
<output>16</output>
<gadget id="calculator">80 / 4</gadget>
<output>20</output>
<gadget id="calculator">80 / 10</gadget>
<output>8</output>
<gadget id="calculator">20 - 8</gadget>
<output>12</output>
<gadget id="calculator">12 / 2</gadget>
<output>6</output>
<gadget id="calc... | 20 | calc |
ape210k__00063850 | The perimeter of a rectangle is 80 cm, and the length is three times the width. What is the area of the rectangle in cm**2. | <gadget id="calculator">3 + 1</gadget>
<output>4</output>
<gadget id="calculator">80 / 2 / 4</gadget>
<output>10</output>
<gadget id="calculator">10 * 3</gadget>
<output>30</output>
<gadget id="calculator">30 * 10</gadget>
<output>300</output>
<result>300</result> | 300 | calc |
aqua_rat__ypI7U8HnkMXQeASd | There are 8 red, 7 blue and 6 green balls, 1 ball is picked up randomly thenwhat is the probability that neither blue nor green? Options.
A) 2/13 B) 3/31 C) 4/41 D) 5/31 E) 8/21 | Total number of balls = (8 + 7 + 6)=
<gadget id="calculator">(8 + 7 + 6)</gadget>
<output>21</output>
21 Let E= event that the ball drawn is neither blue nor green =e vent that the ball drawn is red. Therefore, n(E) = 8. P(E) = 8/21. 8/21
<result>E</result> | E | calc |
ape210k__00777229 | If a square glass with a side length of 4 decimeters is cut into two rectangles of equal size, what is the area of each rectangle? | <gadget id="calculator">4 / 2</gadget>
<output>2</output>
<gadget id="calculator">4 * 2</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
aqua_rat__nGkUDRd7qcw0GQNs | An article is bought for Rs.675 and sold for Rs.700, find the gain percent? Choose the correct option: A) 2% B) 3% C) 4% D) 5% E) 6% | 675 ---- 25 100 ---- ? => =4% Answer:4%
<result>C</result> | C | calc |
aqua_rat__tJNmmNlk127AS2vI | How much interest can a person get on Rs. 8800 at 17.5% p.a. simple interest for a period of two years and six months?
Select the correct option.
A) 3587.58
B) 3587.59
C) 3587.5
D) 3587.52
E) 3850 | I = (8800 * 2.5 * 17.5)/100 = (8800 * 5 * 35)/(100 * 2 * 2) = Rs. 3850.Answer: 3850
<result>E</result> | E | calc |
ape210k__01007939 | Xiaojie's grandfather welded a square frame with angle iron, then glued glass on the sides and bottom to make a fish tank without a cover. Grandpa shared a 6m-long angle iron. How many square meters of glass does this fish tank share? | <gadget id="calculator">6 / 12</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) * (1/2) * 5</gadget>
<output>5/4 = around 1.25</output>
<result>5/4 = around 1.25</result> | 5/4 | calc |
ape210k__00455357 | There are 40 red and green balls, the number of red balls is (5/8), how many are green balls? | <gadget id="calculator">5 / 8</gadget>
<output>5/8 = around 0.625</output>
<gadget id="calculator">40 * (5/8)</gadget>
<output>25</output>
<gadget id="calculator">40 - 25</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
gsm8k__1Rz9SEQoGsdcjEAR | Jonah bought 6 pineapples for $3 each. Each pineapple could be cut into 12 pineapple rings. He sold 4 pineapple rings for $5 each. How much profit did Jonah make? | Jonah spent 6 x $3 = $
<gadget id="calculator">6*3</gadget>
<output>18</output>
18.
He made a total of 6 x 12 =
<gadget id="calculator">6*12</gadget>
<output>72</output>
72 pineapple rings.
He sold 72/4 =
<gadget id="calculator">72/4</gadget>
<output>18</output>
18 sets of pineapple rings.
He made 18 x $5 = $
<gadget... | 72 | calc |
ape210k__00283291 | The ball falls freely from a high place, and the height of each bounce after hitting the ground is (2/5) of the height of the previous drop. If the ball is dropped from 25 meters, what is the height of the third bounce? | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">25 * (2/5) * (2/5) * (2/5)</gadget>
<output>8/5 = around 1.6</output>
<result>8/5 = around 1.6</result> | 8/5 | calc |
aqua_rat__2Tr99JouzMhIeKyM | √(49)2
Choose one:
A) 7
B) 14
C) 49
D) 21
E) None of these | explanation √(49)2 =? or, ? = 49 Answer 49
<result>C</result> | C | calc |
ape210k__00158783 | A, B, and C work together to process 2010 parts. If it takes 10 minutes, 12 minutes, and 25 minutes for them to process a part respectively, how many more parts will be processed by A than C when the work is completed? | <gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">1 / 25</gadget>
<output>1/25 = around 0.04</output>
<gadget id="calculator">(1/10) / (1/12) / (1/25)</gadget>
<output>30</output>
<gadget... | 540 | calc |
ape210k__00161583 | Add % after 72, the original number will be reduced by how many times | <gadget id="calculator">72 / 0.72</gadget>
<output>100</output>
<result>100</result> | 100 | calc |
math_qa__FMwGLpc9H5kIYHIC | How many integers are between 2 and 57/7, inclusive?
Choices
A) 5 B) 7 C) 9 D) 10 E) 12 | <gadget id="calculator">57 / 7</gadget>
<output>57/7 = around 8.142857</output>
<gadget id="calculator">(57/7) - 2</gadget>
<output>43/7 = around 6.142857</output>
<gadget id="calculator">(43/7) + 1</gadget>
<output>50/7 = around 7.142857</output>
<result>B</result> | B | calc |
ape210k__00996975 | A square grassland has a circumference of 1600 meters, how many hectares does this grassland have? | <gadget id="calculator">1_600 / 4</gadget>
<output>400</output>
<gadget id="calculator">1_600 / 4 / 10_000</gadget>
<output>1/25 = around 0.04</output>
<gadget id="calculator">400 * (1/25)</gadget>
<output>16</output>
<result>16</result> | 16 | calc |
aqua_rat__aXiQPcmU41BHYgc2 | Mangala completes a piece of work in 10 days, Raju completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is
Choose the most appropriate option
A) 6 days B) 7 days C) 8 days D) 9 days E) 11 days | If A can complete a work in x days and B can complete the same work in y days, then, both of them together can complete the work in x y/ x+ y days. That is, the required No. of days = 10 × 40/50 = 8 days. 8 days
<result>C</result> | C | calc |
aqua_rat__4czVsF16mVTbx4QL | At present, the ratio between the ages of Arun and Deepak is 4 : 3. After 6 years, Arun's age will be 26 years. What is the age of Deepak at present ? Pick: A) 12 B) 15 C) 19 D) 20 E) 21 | Let the present ages of Arun and Deepak be 4x years and 3x years respectively. Then, 4x + 6 = 26 4x = 20 x = 5. Deepak's age = 3x = 15 years. Ans-15
<result>B</result> | B | calc |
ape210k__00393191 | The original price of a TV set is 4,500 yuan, and there is a 10% discount during the "October" festival. How much can you save by buying such a TV set? | <gadget id="calculator">90 / 100</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">1 - (9/10)</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">4_500 * (1/10)</gadget>
<output>450</output>
<result>450</result> | 450 | calc |
ape210k__00031338 | In the three-digit abc, it is known that a+b=9, b+c=10, then how much is abc/c=. | <result>91</result> | 91 | calc |
aqua_rat__SO44DvN2398alwZ5 | A train when moves at an average speed of 60 kmph, reaches its destination on time. When its average speed becomes 45 kmph, then it reaches its destination 30 minutes late. Find the length of journey. Choose the correct answer:
A) 70 km B) 76 km C) 85 km D) 90 km E) None of these | Explanation : Solution: Difference between timings = 30 min. = 30/60 hr = 1/2 hr. Let the length of the journey be x km. Then, x/45 - x/60 = 1/2 => 4x -3x = 180/2 => x = 90 km. Answer : 90 km
<result>D</result> | D | calc |
ape210k__00808583 | Xiaohong's weight this year is 37kg, which is 4.5kg heavier than last year. How much was Xiaohong's weight last year? (column equation solution) | <gadget id="calculator">37 - 4.5</gadget>
<output>32.5</output>
<result>32.5</result> | 32.5 | calc |
math_qa__UKupM5hdb2CdQ2Tn | If a - b = 3 and
a2+b2=29
, then find the value of ab Choose the correct choice: A) 7 B) 8.5 C) 10 D) 12 E) 14 | <gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">29 - 9</gadget>
<output>20</output>
<gadget id="calculator">20 / 2</gadget>
<output>10</output>
<result>C</result> | C | calc |
math_qa__0anXn5ZMFAe2258n | When 242 is divided by a certain divisor the remainder obtained is 11. When 698 is divided by the same divisor the remainder obtained is 18. However, when the sum of the two numbers 242 and 698 is divided by the divisor, the remainder obtained is 9. What is the value of the divisor? Answers:
A) 11
B) 17
C) 13
D) 20
E) ... | <gadget id="calculator">11 + 18</gadget>
<output>29</output>
<gadget id="calculator">29 - 9</gadget>
<output>20</output>
<result>D</result> | D | calc |
ape210k__00872991 | A commodity is 80 yuan cheaper than the original price after a 25% discount. What is the price after the discount? | <gadget id="calculator">75 / 100</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">80 / (1/4)</gadget>
<output>320</output>
<gadget id="calculator">320 - 80</gadget>
<output>240</output>
<result>240</result> | 240 | calc |
aqua_rat__AppbqUiOyivueyGS | The average salary of all the workers in a workshop is Rs. 6750. The average salary of 7 technicians is Rs. 12000 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 answers.
A) A)23
B) B)21
C) C)52
D) D)56
E) E)12 | Let the total number of workers be x. Then, 6750x = (12000 * 7) + 6000(x - 7) => 750x = 42000 = x =56. Answer:56
<result>D</result> | D | calc |
aqua_rat__i1Fj47N5IvFS5uDJ | What is difference between biggest and smallest fraction among 2/3, 3/4, 4/5 and 5/4 Choices
A) 2/5
B) 3/5
C) 7/12
D) 1/7
E) None of these | Explanation: 2/3 = .66, 3/4 = .75, 4/5 = .8 and 5/4=
<gadget id="calculator"> 5/4</gadget>
<output>5/4 = around 1.25</output>
1.25 So biggest is 5/4 and smallest is 2/3 Their difference is 5/4 - 2/3= 7/12 Option 7/12
<result>C</result> | C | calc |
ape210k__00894743 | Xiao Ming and Xiao Hua each have a bag of candy, but they don't know how many pieces are in each bag. All I know is that after Xiaoming gave Xiaohua 8 yuan, Xiaohua gave Xiaoming another 14 yuan. At this time, the number of candies in the two bags was exactly the same. Classmates, who do you think has more sugar? How m... | <gadget id="calculator">14 - 8</gadget>
<output>6</output>
<gadget id="calculator">2 * 6</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
aqua_rat__tcnnqrh09zVlN0OB | G is the set of the first n positive odd numbers, where n is a positive integer. Given that n > k, where k is also a positive integer, x is the maximum value of the sum of k distinct members of G, and y is the minimum value of the sum of k distinct members of G, what is x + y? Select
A) kn B) kn + k^2 C) kn + 2k^2 D) ... | Probably the easiest way to solve this question would be to assume some values for n and k. Say n=3, so G, the set of the first n positive odd numbers would be: G={1, 3, 5}; Say k=1, so X, the maximum value of the sum of K distinct members of G would simply be 5. Similarly, Y, the minimum value of the sum of K dist... | E | calc |
ape210k__01139035 | There are 8 cuboid columns in the hall. The bases are all squares with side length 2 decimeters and height 6 meters. Now to paint these pillars, how many square meters are the total area to be painted? | <gadget id="calculator">2 / 10</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/5) * 6 * 4 * 8</gadget>
<output>192/5 = around 38.4</output>
<result>192/5 = around 38.4</result> | 192/5 | calc |
ape210k__00024345 | Dad took Xiao Ming to visit grandma by bus. They left at 8:30 am and arrived at 11:30 noon. The speed of the car is 85 kilometers per hour. How far is it from Xiao Ming's house to grandma's house? | <gadget id="calculator">3 * 85</gadget>
<output>255</output>
<result>255</result> | 255 | calc |
ape210k__00389172 | What is the multiple of the sum of any five consecutive natural numbers (except 0) | <result>5</result> | 5 | calc |
math_qa__rbDJ4jJ0MrKn7lDo | If x+y=10, x-y=18, for integers of x and y, x=? Select:
A) 14
B) 15
C) 25
D) 13
E) 42 | <gadget id="calculator">10 + 18</gadget>
<output>28</output>
<gadget id="calculator">28 / 2</gadget>
<output>14</output>
<result>A</result> | A | calc |
aqua_rat__BL7uSeTD2PEfK8UP | A man sells a horse for Rs.140 and loses something, if he had sold it for Rs.980, his gain would have been double the former loss. Find the cost price of the horse? Options:
A) 420
B) 299
C) 277
D) 860
E) 771 | CP = SP + 1CP = SP - g 140 + x = 980 - 2x 3x = 840=> x = 280 CP = 280 + 140=
<gadget id="calculator">280 + 140</gadget>
<output>420</output>
420 420nswer: 420
<result>A</result> | A | calc |
aqua_rat__DwcRJJ5ymgZV6UqZ | If after 300 grams of water were added to the 24%-solution of alcohol, the strength of the solution decreased by one-third, how much of the 24%-solution was used? Pick one: A) 180 grams B) 220 grams C) 250 grams D) 350 grams E) 600 grams | I too think 600 grams should be the answer. My reasoning is The h20 content in 300 gms of water is 1 h20 content in 24% solution is 0.76 Resulting new solution's concentration decreases by one third means. Now it becomes 16% solution which means h20 content is 0.84 Let amount of solution be X Then the equat... | E | calc |
ape210k__00391039 | cuboid biscuit box with a length of 17 cm, a width of 15 cm, and a height of 20 cm, if a circle of label paper is pasted on its side, how many square centimeters does this label paper need at least? | <gadget id="calculator">17 * 20</gadget>
<output>340</output>
<gadget id="calculator">15 * 20</gadget>
<output>300</output>
<gadget id="calculator">340 + 300</gadget>
<output>640</output>
<gadget id="calculator">640 * 2</gadget>
<output>1_280</output>
<result>1_280</result> | 1_280 | calc |
ape210k__00631093 | A tree is planted every 4 meters along the road. When Xiao Ming ran from the first tree to the 125th tree, did he run 500 meters? Why? | <result>500</result> | 500 | calc |
aqua_rat__QlCr9FCDSe2uyDG8 | A father said to his son, "I was as old as you are at present at the time of your birth." If the father's age is 38 years now, the son's age five years back was: Select the correct option
A) 11 years B) 14 years C) 77 years D) 88 years E) 99 years | Let the son's present age be x years. Then, (38 - x) = x 2x = 38 => x = 19 Son's age 5 years back = (19 - 5)=
<gadget id="calculator">(19 - 5)</gadget>
<output>14</output>
14 years. Answer:14 years
<result>B</result> | B | calc |
ape210k__00293934 | (4/25)*101-(4/25)((4/5)-(1/7))*35. | <gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(4/5) * 35</gadget>
<output>28</output>
<gadget id="calculator">1 / 7</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calculator">(1/7) * 35</gadget>
<output>5</output>
<gadget id="calculator">28 - 5</gadget... | 23 | calc |
aqua_rat__WqwHqSztt4dzwCYN | Helen went to the stationers and bought things worth Euro 45, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Pick one:
A) Euro 15
B) Euro 15.7
C) Euro 19.7
D) Euro 39.7
E) None | Explanation: Let the amount taxable purchases be Euro x. Then, 6% of x = 30/100 x = (30/100 x 100/6) = 5. Cost of tax free items = Euro [45 - (5 + 0.30)=
<gadget id="calculator">45 - (5 + 0.30)</gadget>
<output>39.7</output>
Euro 39.70 Answer: Option Euro 39.7
<result>D</result> | D | calc |
ape210k__00273324 | It is known that the product of two factors is 10.64, one of which is 1.9, and what is the other factor. | <gadget id="calculator">10.64 / 1.9</gadget>
<output>5.6</output>
<result>5.6</result> | 5.6 | calc |
aqua_rat__895u41TuJNCdFqmi | Three persons A, B and C divide a certain amount of money such that A's share is Rs.4 less than half of the total amount. B's share is Rs.8 more than half of what is left and finally C takes the which is Rs.14. Find the total amount they initially had with them? Choose the correct choice:
A) 16
B) 78
C) 80
D) 76
E) 23 | Let the total amount be Rs.P Let shares of A and B be Rs.X and Rs.Y respectively. Given, C's share was Rs.14. X + Y + 14 = P --- (1) From the given data, X = P/2 - 4 --- (2) Remaining amount = P - (P/2 - 4) = P/2 + 4 Y = 1/2(P/2 + 4) + 8 => P/4 + 10 --- (3) From (1), (2) and (3) P/2 - 4 + P/4 + 10 ... | C | calc |
ape210k__00045646 | (1/97)+(2/97)+(3/97)+...+(9/97)=how much. | <gadget id="calculator">1 / 97</gadget>
<output>1/97 = around 0.010309</output>
<gadget id="calculator">9 / 97</gadget>
<output>9/97 = around 0.092784</output>
<gadget id="calculator">(1/97) + (9/97)</gadget>
<output>10/97 = around 0.103093</output>
<gadget id="calculator">2 / 97</gadget>
<output>2/97 = around 0.020... | 45/97 | calc |
ape210k__00281290 | When a=2, b=6, c=10, what is the value of 3a+b/c | <gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">6 / 10</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">6 + (3/5)</gadget>
<output>33/5 = around 6.6</output>
<result>33/5 = around 6.6</result> | 33/5 | calc |
aqua_rat__U12VsLwyObs65mkU | What is the greatest positive integer x such that 5^x is a factor of 125^10?
Choose the correct choice
A) 5 B) 9 C) 10 D) 20 E) 30 | 125^10 = (5^3)^10 = 5^30 ANSW30R:30
<result>E</result> | E | calc |
gsm8k__MYfUvjOqoJbdzpPf | Building one birdhouse requires 7 planks and 20 nails. If 1 nail costs $0.05, and one plank costs $3, what is the cost, in dollars, to build 4 birdhouses? | The cost of the planks for one birdhouse is 7 * 3 = $
<gadget id="calculator">7*3</gadget>
<output>21</output>
21.
And the nails are a cost of 20 * 0.05 = $
<gadget id="calculator">20*0.05</gadget>
<output>1</output>
1 for each birdhouse.
So to build one birdhouse one will need 21 + 1 = $
<gadget id="calculator">21+1</... | 88 | calc |
aqua_rat__EXaxykG7UIVeADTP | How many keystrokes are needed to type numbers from 1 to 100? Choose the correct answer: A) 192 B) 100 C) 90 D) 110 E) None of these | Explanatory Answer While typing numbers from 1 to 100, there are 9 single digit numbers: from 1 to 9. Each of these numbers requires one keystroke. That is 9 key strokes. There are 90 two-digit numbers: from 10 to 99. Each of these numbers requires 2 keystrokes. Therefore, 180 keystrokes to type the 2-digit... | A | calc |
aqua_rat__vjaeTgn7WuCU8eWp | For a road work, a contractor was given a deadline to complete the work in 25 days. Hence, he employed a certain number of workers to accomplish the job. But from the very first day 9 workers were absent and the remaining workers could finish the work in 40 days. What number of workers did the contractor hired in the b... | Explanation : Let the number of workers initially hired be x. Hence, x workers can complete the work in 25 days and (x-9) workers can complete the work in 40 days. Now, the number of men and the amount of work are in direct proportion and number of men and number of days in indirect proportion. x*25 = (x 9)*40 ... | C | calc |
ape210k__00007174 | Two trains leave opposite to each other from AB respectively. The slow train travels 55 kilometers per hour, and the express train travels 65 kilometers per hour. The two trains travel at the same time for 1 hour, which is exactly (3/5) of the full length. What percentage of the total length did the slow train travel a... | <gadget id="calculator">55 + 65</gadget>
<output>120</output>
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 / (3/5)</gadget>
<output>5/3 = around 1.666667</output>
<gadget id="calculator">120 * (5/3)</gadget>
<output>200</output>
<gadget id="calculator">55 / 200<... | 11/40 | calc |
gsm8k__QvLj5rOWQ4Ym12l4 | In Rodrigo's classroom in the morning there are red chairs, yellow chairs, and blue chairs. There are 4 red chairs. There are 2 times as many yellow chairs as red chairs, and there are 2 fewer blue chairs than yellow chairs. In the afternoon, Lisa borrows 3 chairs. How many chairs are left in Rodrigo's classroom? | There are 2 * 4 red chairs =
<gadget id="calculator">2*4</gadget>
<output>8</output>
8 yellow chairs.
There are 8 yellow chairs - 2 =
<gadget id="calculator">8-2</gadget>
<output>6</output>
6 blue chairs.
Total in the morning there were 4 red + 8 yellow + 6 blue =
<gadget id="calculator">4+8+6</gadget>
<output>18</o... | 15 | calc |
ape210k__00461055 | A cone has a base diameter of 8 decimeters and a height of 6 decimeters, what is its volume in cubic decimeters? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">8 / 2</gadget>
<output>4</output>
<gadget id="calculator">4 ** 2</gadget>
<output>16</output>
<gadget id="calculator">(1/3) * 3.14 * 16 * 6</gadget>
<output>100.48</output>
<result>100.48</result> | 100.48 | calc |
ape210k__00038960 | A car departs from A at 10:30 am and arrives at B at 3:30 pm, traveling a total of 325 kilometers. How many kilometers per hour does this car travel on average? | <gadget id="calculator">325 / 5</gadget>
<output>65</output>
<result>65</result> | 65 | calc |
aqua_rat__SN4NA6qQ30wPbA96 | The sum of all solutions for x in the equation x^2 – 4x + 14 = |x – 4|+ 8 is equal to: Select the correct option.
A) –7
B) 8
C) 10
D) 12
E) 14 | x^2 - 4x + 6 = |x-4| RHS can be -ve or +ve x^2 - 5x + 10 = 0 x^2 - 3x + 2 = 0 x= 5,2,1 We test all 3 values in original equation, all ok. Thus, Sum = 5 + 2 +1=
<gadget id="calculator">5 + 2 +1</gadget>
<output>8</output>
8 Ans (8)
<result>B</result> | B | calc |
ape210k__00568706 | A cylindrical iron bucket without a cover is 50 cm high and 40 cm in diameter at the bottom. How much iron is needed to make this bucket? | <gadget id="calculator">3.14 * 40 * 50</gadget>
<output>6_280</output>
<gadget id="calculator">40 / 2</gadget>
<output>20</output>
<gadget id="calculator">20 ** 2</gadget>
<output>400</output>
<gadget id="calculator">3.14 * 400</gadget>
<output>1_256</output>
<gadget id="calculator">6_280 + 1_256</gadget>
<output>7... | 7_536 | calc |
ape210k__00399926 | A train departs from Tianjin at 13:30 and arrives in Jinan at 16:30 that day. This train travels an average of 120 kilometers per hour. How many kilometers is the railway from Tianjin to Jinan? | <gadget id="calculator">120 * 3</gadget>
<output>360</output>
<result>360</result> | 360 | calc |
ape210k__00718161 | A pool is 22 meters long and 15 meters wide, what is the area in square meters? | <gadget id="calculator">22 * 15</gadget>
<output>330</output>
<result>330</result> | 330 | calc |
gsm8k__hIvUKr79fMJ77rx8 | Melony makes $21 of profit every time she sells 3 shirts and four times as much profit when she sells two pairs of sandals. How much profit will she make if she sells 7 shirts and 3 pairs of sandals? | Melony makes $21 * 4 = $
<gadget id="calculator">21*4</gadget>
<output>84</output>
84 of profit for two pairs of sandals.
Melony makes $84 / 2 pairs = $
<gadget id="calculator">84/2</gadget>
<output>42</output>
42 of profit per pair of shoes.
Melony makes $21 / 3 shirts = $
<gadget id="calculator">21/3</gadget>
<output... | 175 | calc |
ape210k__00417072 | If a bag of candy is distributed to 4 classmates and 7 classmates are left with 1 yuan, what is the minimum number of pieces of this bag of candy? | <gadget id="calculator">2 * 2 * 7</gadget>
<output>28</output>
<gadget id="calculator">28 + 1</gadget>
<output>29</output>
<result>29</result> | 29 | calc |
aqua_rat__FwRX4EB80KVhSKL2 | A team scored a total of 140 points. If each player on the team scored at least 14 points, then what is the greatest possible number of players on the team? Choices
A) A)6 B) B)7 C) C)8 D) D)9 E) E)10 | 140/14=
<gadget id="calculator">140/14</gadget>
<output>10</output>
10 plus remainder. The answer is 10.
<result>E</result> | E | calc |
ape210k__00769265 | The current price of a TV is 1850 yuan, which is 220 yuan lower than the original price. How much is the original price of this TV? (solution with equation) | <gadget id="calculator">1_850 + 220</gadget>
<output>2_070</output>
<result>2_070</result> | 2_070 | calc |
ape210k__00472467 | The quotient of dividing two numbers is 1.8, the dividend is enlarged to 10 times the original number, and the divisor remains the same. What is the quotient? | <gadget id="calculator">1.8 * 10</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
ape210k__00749915 | A picture has a ratio of length to width of 3:2. It is known that the width of the picture is 80 cm. What is the length of the picture in centimeters? | <gadget id="calculator">80 / 2</gadget>
<output>40</output>
<gadget id="calculator">40 * 3</gadget>
<output>120</output>
<result>120</result> | 120 | calc |
gsm8k__02rcNi03qUOuyRE7 | Leila spent $40 which is 1/4 of her money on a sweater. She was then left with $20 after spending the rest of her money on buying pieces of jewelry. How much more did Leila spend on jewelry than on the sweater? | Since 1/4 of her money is $40, then Leila originally had $40 x 4 = $
<gadget id="calculator">40*4</gadget>
<output>160</output>
160.
$160 - $40 = $
<gadget id="calculator">160-40</gadget>
<output>120</output>
120 was left after buying a sweater.
Since she is left with $20, Leila spent $120 - $20 = $
<gadget id="calcula... | 60 | calc |
aqua_rat__KhBVGyRzpgl0rWcs | A girl scout was selling boxes of cookies. In a month, she sold both boxes of chocolate chip cookies ($1.25 each) and boxes of plain cookies ($0.75 each). Altogether, she sold 1,585 boxes for a combined value of $1,587.75. How many boxes of plain cookies did she sell? Choose the correct choice from the following answer... | Let #plain cookies sold be X then #chocolate cookies = (total cookies-X) 787quating for X (0.75)*X +(1.25)*(1585-X)=1587.75 =>x=787 787
<result>E</result> | E | calc |
ape210k__01193481 | The shopping mall buys 400 towels, and plans to sell each towel at 6 yuan. After selling (4/5), the rest will be sold at (1/2) the original price. How much do these towels cost in total? | <gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">400 * (4/5)</gadget>
<output>320</output>
<gadget id="calculator">320 * 6</gadget>
<output>1_920</output>
<gadget id="calculator">400 - 320</gadget>
<output>80</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2... | 2_160 | calc |
ape210k__00479880 | In the division formula □/4=19…□, when the remainder is the largest, what is the dividend. | <gadget id="calculator">4 * 19</gadget>
<output>76</output>
<gadget id="calculator">4 - 1</gadget>
<output>3</output>
<gadget id="calculator">76 + 3</gadget>
<output>79</output>
<result>79</result> | 79 | calc |
ape210k__01210041 | A project can be completed by A alone in 40 days and B alone in 60 days. Two people work together, and A takes a 5-day break due to work, how many days did A work when the task is completed? | <gadget id="calculator">1 / 60</gadget>
<output>1/60 = around 0.016667</output>
<gadget id="calculator">(1/60) * 5</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">1 - (1/12)</gadget>
<output>11/12 = around 0.916667</output>
<gadget id="calculator">1 / 40</gadget>
<output>1/40 = around 0.025<... | 22 | calc |
ape210k__00180599 | The area of a trapezoid is 40cm**2, the upper base is 3.5cm, the lower base is 6.5cm, what is the height | <gadget id="calculator">3.5 + 6.5</gadget>
<output>10</output>
<gadget id="calculator">2 / 10</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">40 * (1/5)</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__00465977 | car has traveled 120 kilometers from place A to place B, and there is still (1/4) left. How many kilometers are there between places A and B? | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 - (1/4)</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">120 / (3/4)</gadget>
<output>160</output>
<result>160</result> | 160 | calc |
ape210k__00872029 | Uncle Zhang’s family has some chickens. There are 400 roosters, 20% less than hens. How many hens are there? (column equation solution) | <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">400 / (4/5)</gadget>
<output>500</output>
<result>500</result> | 500 | calc |
math_qa__nPDUMQVksdvUiRRP | The speed at which a man can row a boat in still water is 15 kmph. If he rows downstream, where the speed of current is 3 kmph, what time will he take to cover 70 metres? Options:
A) 22 seconds
B) 65 seconds
C) 78 seconds
D) 12 seconds
E) 14 seconds | <gadget id="calculator">15 + 3</gadget>
<output>18</output>
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">18 * (5/18)</gadget>
<output>5</output>
<gadget id="calculator">70 / 5</gadget>
<output>14</output>
<result>E</result> | E | calc |
ape210k__01146661 | If the decimal point of a decimal is moved two places to the left, the resulting number is 4.455 smaller than the original number. What is the original number? | <gadget id="calculator">100 - 1</gadget>
<output>99</output>
<gadget id="calculator">4.455 / 99</gadget>
<output>0.045</output>
<gadget id="calculator">0.045 * 100</gadget>
<output>4.5</output>
<result>4.5</result> | 4.5 | calc |
aqua_rat__ogl89PSii8KeSx1e | If 11 ml of water is mixed with 1 ml of a chemical, a magical perfume is manufactured. The manufacturer initially wanted to have 500 ml of one box of the magical perfume. How much extra ml is to be added with the proposed box size to comply with the formula? Select:
A) 3
B) 4
C) 5
D) 7
E) 8 | The magical perfume should have 11/12 of water and 1/12 of chemical. With 500 ml, there will be a need to add 4 ml more such that the final solution is divisible by 12; that is , 42x12=504. Answer 4.
<result>B</result> | B | calc |
ape210k__00803381 | A rectangular cabbage field has a circumference of 120 meters and a ratio of length to width of 3:2. If 5 kg of cabbage is produced per square meter, how many kilograms of cabbage can this field produce in total? | <gadget id="calculator">120 / 2</gadget>
<output>60</output>
<gadget id="calculator">3 + 2</gadget>
<output>5</output>
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">60 * (3/5)</gadget>
<output>36</output>
<gadget id="calculator">60 - 36</gadget>
<output>24</output>... | 4_320 | calc |
ape210k__00441374 | There are 644 students in the experimental primary school, and the number of girls is 3/4 of the number of boys. How many girls are there in the experimental primary school? | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">1 + (3/4)</gadget>
<output>7/4 = around 1.75</output>
<gadget id="calculator">644 / (7/4)</gadget>
<output>368</output>
<gadget id="calculator">644 - 368</gadget>
<output>276</output>
<result>276</result> | 276 | calc |
ape210k__00105834 | 8.4/5/8*(5+5)*8=how much. | <gadget id="calculator">8.4 / 5 / 8</gadget>
<output>0.21</output>
<gadget id="calculator">5 + 5</gadget>
<output>10</output>
<gadget id="calculator">0.21 * 10 * 8</gadget>
<output>16.8</output>
<result>16.8</result> | 16.8 | calc |
ape210k__00444224 | How many (1/9) are added to (3/9) is equal to 1. | <result>6</result> | 6 | calc |
aqua_rat__EDOTeywJXMM5YtsF | Set #1 = {A, B, C, D, E, F}
Set #2 = {K, L, M, N, O, P}
There are these two sets of letters, and you are going to pick exactly one letter from each set. What is the probability of picking at least one vowel? Answers
A) 1/6 B) 1/3 C) 1/2 D) 2/3 E) 4/9 | So Not a vowel in Set-1 : 4/6 And not a vowel in Ser-2:5/6 Now, 4/6∗5/6=5/9 This is for not a vowel. Then for at least one vowel will be = 1−5/9=4/9 Answer will be 4/9.
<result>E</result> | E | calc |
ape210k__00050538 | The perimeter of a right triangle is 24 cm, and the ratio of the lengths of the three sides is 5:4:3. What is the area of this right triangle in square centimeters? | <gadget id="calculator">5 + 4 + 3</gadget>
<output>12</output>
<gadget id="calculator">3 / 12</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">24 * (1/4)</gadget>
<output>6</output>
<gadget id="calculator">4 / 12</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">24 * (1/3)</... | 24 | calc |
aqua_rat__MLCr7FLFL3cNq048 | If 853,845 bars of chocolate need to be placed in little boxes and each box can contain at most 9 bars of chocolate. How many bars of chocolate will be in the last unfilled box? Choose one
A) 1 B) 3 C) 5 D) 6 E) 7 | The number of bars of chocolate that can be placed in the little boxes of 9 bars is the first number that is divisible by 9 that occurs before 853,845. In order to divide the sum in 9 parts, the amount must be divisible by 9 Divisibility rule of 9: The sum of the digits must be divisible by 9 Sum of digits of 853... | D | calc |
ape210k__00553063 | There are seven numbers, the average number is 49, the average number of the first 4 numbers is 28, and the average number of the last 4 numbers is 68.25, then what is the fourth number? | <gadget id="calculator">28 * 4</gadget>
<output>112</output>
<gadget id="calculator">68.25 * 4</gadget>
<output>273</output>
<gadget id="calculator">49 * 7</gadget>
<output>343</output>
<gadget id="calculator">273 - 343</gadget>
<output>-70</output>
<gadget id="calculator">112 + (-70)</gadget>
<output>42</output>
... | 42 | calc |
aqua_rat__SodbFKzBAY6EKtNP | A bullet train 130 m long is running with a speed of 50 kmph. In what time will it pass a man who is running at 10 kmph in the direction opposite to that in which the bullet train is going?
Choose one: A) 23 sec B) 13 sec C) 12 sec D) 11 sec E) 16 sec | B 13 sec Speed of the bullet train relative to man = (50 + 10)=
<gadget id="calculator">(50 + 10)</gadget>
<output>60</output>
60*5/18 m/sec= 30/3 m/sec. Time taken by the bullet train to cross the man = Time taken by it to cover 130 m at (30/3) m / sec = (130*3/30)=
<gadget id="calculator">(130*3/30)</gadget... | B | calc |
ape210k__00292352 | The oil yield of a soybean is 24%-32%. If 96 kilograms of oil are to be squeezed out, how many kilograms of this soybean are needed at least. | <gadget id="calculator">32 / 100</gadget>
<output>8/25 = around 0.32</output>
<gadget id="calculator">96 / (8/25)</gadget>
<output>300</output>
<result>300</result> | 300 | calc |
ape210k__00075470 | The school bought 5 basketballs and 12 footballs and paid a total of 362.50 yuan. It is known that the price of each football is 22.5 yuan, how much is the price of each basketball? | <gadget id="calculator">12 * 22.5</gadget>
<output>270</output>
<gadget id="calculator">362.5 - 270</gadget>
<output>92.5</output>
<gadget id="calculator">92.5 / 5</gadget>
<output>18.5</output>
<result>18.5</result> | 18.5 | calc |
aqua_rat__KvovweZaXMUMGVJH | A man bought a horse and a carriage for Rs. 3000. He sold the horse at a gain of 20% and the carriage at a loss of 10%, thereby gaining 2% on the whole. Find the cost of the horse. Choose the correct choice
A) 2200 B) 1800 C) 1200 D) 1000 E) 1500 | Let the C.P of the horse be Rs. X, Then, C.P of the carriage = Rs.(3000- x). 20% of x - 10% of ( 3000-x ) =2% of 3000 = 60, x/5 - ( 3000-x )/10 = 60, 3x - 3000 = 600, 3x =3600, x = 1200. Hence, C.P of the horse = Rs. 1200 ANSWER:1200
<result>C</result> | C | calc |
aqua_rat__v6ssMxUkGMiAeKHd | In a new Engineering Hostels containing 100 rooms. Ankit Garg was hired to paint the numbers 1 to 100 on the doors.
How many times will Ankit have to paint the number eight ? Pick.
A) 10 times B) 15 times C) 30 times D) 20 times E) 35 times | 20 times 20 times 8,18,28,38,48,58,68,78,98,80,81,82,83,84,85,86,87,88,88(2),89
<result>D</result> | D | calc |
aqua_rat__faRQbe40dXB0A6SA | If x is 11 percent greater than 80, then x =
Select the correct option: A) 88.8 B) 91.0 C) 88.0 D) 70.9 E) 71.2 | 11% of 80 = (80*0.11)=
<gadget id="calculator">(80*0.11)</gadget>
<output>8.8</output>
8.8 11% greater than 80= 80 + 8.8=
<gadget id="calculator">80 + 8.8</gadget>
<output>88.8</output>
88.8 88.8nswer is clearly 88.8.
<result>A</result> | A | calc |
ape210k__00628779 | The store bought (3/4) kilograms of chestnuts, sold (1/4) on the opening day, and left ((())/(())). | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 - (1/4)</gadget>
<output>3/4 = around 0.75</output>
<result>3/4 = around 0.75</result> | 3/4 | calc |
ape210k__00359614 | What is the quotient of the difference between (3/4) and its reciprocal (5/12)? | <gadget id="calculator">5 / 12</gadget>
<output>5/12 = around 0.416667</output>
<gadget id="calculator">4 / 3</gadget>
<output>4/3 = around 1.333333</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(4/3) - (3/4)</gadget>
<output>7/12 = around 0.583333</output... | 5/7 | calc |
ape210k__00139980 | A pile of coal, originally planned to burn 4 tons per day, can last for 75 days. Due to the improvement of the stove, it can burn 3 tons per day. How many days can this pile of coal be burned? | <gadget id="calculator">4 / 3</gadget>
<output>4/3 = around 1.333333</output>
<gadget id="calculator">75 * (4/3)</gadget>
<output>100</output>
<result>100</result> | 100 | calc |
ape210k__01113285 | After reducing 42 by 10 times, and then expanding it by 10 times, what is the result? | <gadget id="calculator">42 / 10</gadget>
<output>21/5 = around 4.2</output>
<gadget id="calculator">(21/5) * 10</gadget>
<output>42</output>
<result>42</result> | 42 | calc |
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