id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
aqua_rat__gqj4XobqFqz9cqZG | It rained as much as on Wednesday as on all the other days of the week combined. If the average rainfall for the whole week was 5 cms, How much did it rain on Wednesday? Options: A) 10.9 B) 17.5 C) 10.2 D) 10.1 E) 10.6 | Explanation: Let the rainfall on wednesday = 6x. ∴ Rainfall on the remaining days = 6x Given, (6x + 6x )/7 = 5 ⇒12x = 35 ⇒6x = 17.5 Answer: 17.5
<result>B</result> | B | calc |
aqua_rat__galtkdlDRKR8c2rr | If the arithmetic mean of seventy five numbers is calculated, it is 35. If each number is increased by 5, then mean of new number is?
Select:
A) 43 B) 40 C) 87 D) 77 E) 22 | A.M. of 75 numbers = 35 Sum of 75 numbers = 75 * 35=
<gadget id="calculator">75 * 35</gadget>
<output>2_625</output>
2625 Total increase= 75 * 5=
<gadget id="calculator">75 * 5</gadget>
<output>375</output>
375 Increased sum= 2625 + 375=
<gadget id="calculator">2625 + 375</gadget>
<output>3_000</output>
3000 ... | B | calc |
ape210k__00508392 | A bicycle manufacturer planned to produce a batch of bicycles last year. As a result, it completed 54% of the annual plan in the first half of the year, and 56% of the annual plan in the second half of the year. A total of 500 bicycles were overfulfilled. How many bicycles does this factory plan to produce last year? | <gadget id="calculator">54 / 100</gadget>
<output>27/50 = around 0.54</output>
<gadget id="calculator">56 / 100</gadget>
<output>14/25 = around 0.56</output>
<gadget id="calculator">(14/25) - 1</gadget>
<output>-11/25 = around -0.44</output>
<gadget id="calculator">(27/50) + (-11/25)</gadget>
<output>1/10 = around 0... | 5_000 | calc |
math_qa__CYLc20gn9rcRKJql | 350 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. What is the distance between 2consecutive trees Options:
A) 10 B) 12 C) 14 D) 16 E) 17 | <gadget id="calculator">26 - 2</gadget>
<output>24</output>
<gadget id="calculator">24 + 1</gadget>
<output>25</output>
<gadget id="calculator">350 / 25</gadget>
<output>14</output>
<result>C</result> | C | calc |
ape210k__00562761 | Xiao Ming and Xiao Hua stand back to back, Xiao Ming walks 150 meters to the north, and Xiao Hua walks 120 meters to the south, how many meters are there between them? | <gadget id="calculator">150 + 120</gadget>
<output>270</output>
<result>270</result> | 270 | calc |
ape210k__00463741 | How many minutes have passed since the minute hand went from 12 to 6? | <gadget id="calculator">5 * 6</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
ape210k__00270213 | In the 100-meter race, when A runs to 60 meters and B runs to 45 meters, when A runs to the finish line, how many meters is B from the finish line? | <gadget id="calculator">45 * 100</gadget>
<output>4_500</output>
<gadget id="calculator">4_500 / 60</gadget>
<output>75</output>
<gadget id="calculator">100 - 75</gadget>
<output>25</output>
<result>25</result> | 25 | calc |
ape210k__00592295 | conical container with a height of 30 cm is filled with water and poured into a cylindrical container with the same bottom and height as the container. What is the distance in cm from the mouth of the container to the water surface? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">30 * (1/3)</gadget>
<output>10</output>
<gadget id="calculator">30 - 10</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
ape210k__00131158 | The school cafeteria bought 500 kilograms of rice, and after two weeks there were 136 kilograms left. How many kilograms of rice did you eat on average every day? | <gadget id="calculator">500 - 136</gadget>
<output>364</output>
<gadget id="calculator">7 * 2</gadget>
<output>14</output>
<gadget id="calculator">364 / 14</gadget>
<output>26</output>
<result>26</result> | 26 | calc |
aqua_rat__sxKKuXfyCYpq6XF3 | If a sample of data has mean of 23 and SD of 3, which of the following values is more than 2.5 SDs from the mean? Options
A) a. 16
B) b. 13.5
C) c. 17
D) d. 23.5
E) e. 26.5 | Value ismore than 2.5SDfrom the mean means that the distance between the mean and the value must be more than 2.5SD=7.5. So the value either < 23-7.5=
<gadget id="calculator"> 23-7.5</gadget>
<output>15.5</output>
15.5 or >23+7.5=30.5. Answer: b. 13.5.
<result>B</result> | B | calc |
ape210k__00334785 | When two numbers are divided, the quotient is 9 and the remainder is 20. What is the smallest dividend? | <gadget id="calculator">21 * 9</gadget>
<output>189</output>
<gadget id="calculator">189 + 20</gadget>
<output>209</output>
<result>209</result> | 209 | calc |
ape210k__00453755 | The output value of Xinyi Company in January is 1.5 million yuan, and the tax is 5% of the output value. How much is the tax payable? | <gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">150 * (1/20)</gadget>
<output>15/2 = around 7.5</output>
<result>15/2 = around 7.5</result> | 15/2 | calc |
ape210k__00416086 | The passenger car departs from A and the truck departs from B at the same time. After 6 hours, the bus exceeds the midpoint by 60 kilometers, and the truck is still 3/5 of the distance from A. It is known that the bus travels 15 more times per hour than the truck. Kilometers, how many kilometers is the distance between... | <gadget id="calculator">15 * 6</gadget>
<output>90</output>
<gadget id="calculator">90 - 60</gadget>
<output>30</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 - (3/5)</gadget>
<outpu... | 300 | calc |
ape210k__00806955 | What is the side length of a square with an area of 36 square centimeters? | <result>6</result> | 6 | calc |
aqua_rat__1WwHpWpAqQU8hqCG | In an electric circuit, two resistors with resistances x and y are connected in parallel. If R is the combined resistance of these two resistors, then the reciprocal of R is equal to the sum of the reciprocals of x and y. What is R if x is 5 Ohms and y is 6 Ohms?
Select the correct option.
A) 7/30 B) 11/30 C) 11/15 D) ... | 1/R = 1/x + 1/y 1/R = 1/5+1/6 = 11/30 R = 30/11 The answer is 30/11.
<result>D</result> | D | calc |
ape210k__01190901 | A lotus leaf grows double every day, and the pond is covered on the 12th day. Find the day when half of the pond is covered. | <gadget id="calculator">12 - 1</gadget>
<output>11</output>
<result>11</result> | 11 | calc |
ape210k__00605787 | The product of a number and 2.5 is 1.25. Find this number. | <gadget id="calculator">1.25 / 2.5</gadget>
<output>0.5</output>
<result>0.5</result> | 0.5 | calc |
ape210k__00000688 | Aunt Li kept the chickens she raised in the east and west courtyards respectively. It is known that there are 40 chickens in the east courtyard. Now sell (1/4) of the chickens in the west courtyard to the store, (1/3) to the processing factory, and then add the remaining chickens, and the sum is exactly equal to the or... | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/4) + (1/3)</gadget>
<output>7/12 = around 0.583333</output>
<gadget id="calculator">1 - (7/12)</gadget>
<output>5/12 = around 0.416667</ou... | 280 | calc |
aqua_rat__qjs0IwuXc5xxvyve | Some of the people in Town B are left-handed, some are tall, some are both, and some are neither. In Town Y, three times as many people are left-handed > as are left-handed in Town B, three times as many people are tall as are tall in Town B, three times as many people are both as are both in Town B, but no one is neit... | Yes, correct answer is indeed D. {B}={Left} + {Tall} - {Both} + {Neither}; {Y} = 3*{Left} + 3*{Tall} - 3*{Both}; Since the total number of people in Town B is four times greater than the total number of people in Town Y, then: {Left} + {Tall} - {Both} + {Neither}=4*(3*{Left} + 3*{Tall} - 3*{Both}); {Neither}=... | D | calc |
aqua_rat__8bOowni0671MfBVz | Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet? Choose the correct choice
A) 15 a.m
B) 10 a.m
C) 12 a.m
D) 02 a.m
E) 05 a.m | Suppose they meet x hours after 7 a.m. Distance covered by A in x hours = 20x km. Distance covered by B in (x - 1) hours = 25(x - 1) km. Therefore 20x + 25(x - 1) = 110 45x = 135 x = 3. So, they meet at 10 a.m. Answer:10 a.m
<result>B</result> | B | calc |
aqua_rat__RtpbKcbJ09CQ8jX4 | A mixture contains alcohol and water in the ratio 4 : 3. If 7 litres of water is added to the mixture, the ratio becomes 4: 5. Find the quantity of alcohol in the given mixture Options:
A) 15 litres B) 14 litres C) 30 litres D) 22 litres E) 8 litres | Let the quantity of alcohol and water be 4x litres and 3x litres respectively 4x/(3x+7)=4/5 20x=4(3x+7) 8x=28 x=3.5 Quantity of alcohol = (4 x 3.5) litres = 14 litres. Answer is 14 litres.
<result>B</result> | B | calc |
ape210k__01221367 | A wire encloses a square with side length 6 cm. If it is changed into a rectangle with a length of 9 cm, what is the width of this rectangle in cm? | <gadget id="calculator">4 / 2</gadget>
<output>2</output>
<gadget id="calculator">6 * 2</gadget>
<output>12</output>
<gadget id="calculator">12 - 9</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
ape210k__00906109 | The students participated in environmental protection activities. The third grade students collected a total of 58 kilograms of recyclable waste. The fourth grade collected 2 times that of the third grade. The fifth grade collected 13 kilograms less than the total of the third and fourth grades. How many kilograms did ... | <gadget id="calculator">58 * 2</gadget>
<output>116</output>
<gadget id="calculator">58 + 116</gadget>
<output>174</output>
<gadget id="calculator">174 - 13</gadget>
<output>161</output>
<result>161</result> | 161 | calc |
ape210k__00222855 | A rectangular tile with a length of 25 cm and a width of 15 cm, at least how many such tiles are needed to form a square. | <gadget id="calculator">75 / 25</gadget>
<output>3</output>
<gadget id="calculator">75 / 15</gadget>
<output>5</output>
<gadget id="calculator">3 * 5</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
ape210k__00394679 | There are 10 red balls, 6 white balls and some flower balls in a box, and each time a ball is taken out of it, and then put back, the probability of taking out a white ball is less than (1/3), and there are at least How many bouquets. | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">6 / (1/3)</gadget>
<output>18</output>
<gadget id="calculator">18 - 10 - 6</gadget>
<output>2</output>
<gadget id="calculator">2 + 1</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
ape210k__00600396 | Three ballpoint pens are 5.4 yuan, and the price of a pen is four times that of a ballpoint pen. How much is a pen? | <gadget id="calculator">5.4 / 3</gadget>
<output>1.8</output>
<gadget id="calculator">1.8 * 4</gadget>
<output>7.2</output>
<result>7.2</result> | 7.2 | calc |
ape210k__00061802 | What is the formula equal to the quotient of 3.6/0.45 | <gadget id="calculator">3.6 / 0.45</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
aqua_rat__jrTWxTh09yuVzNsG | W, X, Y, Z are integers. The expression X - Y - Z is even and the expression Y - Z - W is odd. If X is even what must be true?
Answers.
A) U
B) W
C) E
D) H
E) R | Sol: X is even so Y, Z both are even or both are odd. Now Y - Z in both cases even. So (Y - Z ) - W = odd happens only when w is odd Ans: W is odd Answer:W
<result>B</result> | B | calc |
aqua_rat__3kXxTsyhgnVS2YS9 | A vessel contains 20 liters of a mixture of milk and water in the ratio 3:2. 10 liters of the mixture are removed and replaced with an equal quantity of pure milk. If the process is repeated once more, find the ratio of milk and water in the final mixture obtained? Choose the correct choice from the following choices
A... | Milk = 3/5 * 20=
<gadget id="calculator">3/5 * 20</gadget>
<output>12</output>
12 liters, water= 8 liters If 10 liters of mixture are removed, amount of milk removed = 6 liters and amount of water removed = 4 liters. Remaining milk = 12 - 6=
<gadget id="calculator">12 - 6</gadget>
<output>6</output>
6 liters Re... | A | calc |
ape210k__00476834 | Cut a 6 decimeter long iron wire 3 times and cut it into small pieces of equal length. | <gadget id="calculator">3 + 1</gadget>
<output>4</output>
<gadget id="calculator">6 / 4</gadget>
<output>3/2 = around 1.5</output>
<result>3/2 = around 1.5</result> | 3/2 | calc |
aqua_rat__9WJIwniRvCUeXR4e | If 90 percent of 600 is 50 percent of x, then x=? Choose one
A) 100
B) 1000
C) 1080
D) 1020
E) 1200 | 0.9 * 600 = 0.5 * x x = 9/5 * 600=
<gadget id="calculator">9/5 * 600</gadget>
<output>1_080</output>
1080
<result>C</result> | C | calc |
ape210k__00013392 | After assembling six cubes with sides 2 cm long into a cuboid with the smallest possible surface area, what is the sum of the lengths of the sides of the resulting cuboid? | <gadget id="calculator">2 * 3</gadget>
<output>6</output>
<gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">6 + 4 + 2</gadget>
<output>12</output>
<gadget id="calculator">12 * 4</gadget>
<output>48</output>
<result>48</result> | 48 | calc |
aqua_rat__URAlAGvBnOb4WjKY | If a, b, and c are consecutive integers such that a < b < c and a is an even prime number, which of the following is true?
I. a × b × c < a^3
II. a + b + c > a^3
III. 5b < bc
Select the correct option: A) I only B) II only C) III only D) II and III E) I, II, and III | Given: 1) a is even prime. The only even prime number known is 2, so a must be equal to 2. 2) a,b,c are consecutive such that a<b<c. So, b must be 3 and c must be 4. So, we know that a=2, b=3 and c=4. Substituting the above values in the three equations, I. abc<a^3 24<8.="" a+b+c="" false.="" ii.="" sim... | B | calc |
math_qa__WGSCDTkeUwcYdmYl | Find the compound ratio of (4:3), (1:3) and (2:3) is
Choose the correct choice from the following.
A) 16 : 27 B) 12 : 13 C) 13 : 14 D) 14 : 15 E) 31 : 27 | <gadget id="calculator">4 / 3</gadget>
<output>4/3 = around 1.333333</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(4/3) * (1/3)</gadget>
<output>4/9 = around 0.444444</output>
<gadget id="calculator">(4/3) * (4/9)</gadget>
<output>16/27 = around 0.592... | A | calc |
ape210k__00055299 | If 65*12=780, then 0.65*1.2=how much. | <gadget id="calculator">0.65 * 1.2</gadget>
<output>0.78</output>
<result>0.78</result> | 0.78 | calc |
aqua_rat__UYcWQNUpGqbtMbPt | Rajan borrowed Rs.4000 at 5% p.a compound interest. After 2 years, he repaid Rs.2210 and after 2 more year, the balance with interest. What was the total amount that he paid as interest?
Choose the correct choice from the following answers:
A) 635.5 B) 635.59 C) 635.51 D) 635.56 E) 635.52 | Explanation: 4000 200 ---- I 200 10 ---- II --------------- 4410 2210 -------- 2000 110 ---- III 110 5.50 ---- IV ----------- 2425.50 2210 ----------- 4635.50 4000 ---------- 635.50 635.5nswer:635.5
<result>A</result> | A | calc |
gsm8k__CKWlcrh7vFqYAAGT | Wanda weighs 30 pounds more than Yola currently. Wanda also weighs 80 pounds more than Yola did 2 years ago. How much did Yola weigh 2 years ago if she currently weighs 220 pounds? | If Yola currently weighs 220 pounds, then Wanda, who weighs 30 pounds more than Yola, weighs 220+30 =
<gadget id="calculator">220+30</gadget>
<output>250</output>
250 pounds.
Wanda also weighs 80 pounds more than Yola did 2 years ago, meaning Yola weighed 250-80=
<gadget id="calculator">250-80</gadget>
<output>170</ou... | 170 | calc |
ape210k__00363022 | Adding 408 to a number yields 726. What is this number? | <gadget id="calculator">726 - 408</gadget>
<output>318</output>
<result>318</result> | 318 | calc |
aqua_rat__QXkO5a85cyoUHWbI | If 1/(m – 2) = 1/(m + 2) + 1/(m – 1), which of the following is a possible value of m? Choose the most appropriate option
A) 0 B) -1 C) -2 D) 1 E) 2 | Multiply by (m-2)*(m+2)*(m-1) throughout to get: (m+2)*(m-1) = (m-2)*(m-1) + (m+2)(m-2) Of the given options, only m=0 satisfies this. 0nswer : 0
<result>A</result> | A | calc |
ape210k__00864513 | The brother and sister took a total of 200 yuan to the bookstore to buy books. When they got home, they found that the amount of money they had left was exactly the same. The elder brother said that he spent his own money (3/8), and the younger sister said that he spent his own money Count (7/12), so how much did my si... | <gadget id="calculator">8 + 12</gadget>
<output>20</output>
<gadget id="calculator">200 / 20</gadget>
<output>10</output>
<gadget id="calculator">7 / 12</gadget>
<output>7/12 = around 0.583333</output>
<gadget id="calculator">10 * 12 * (7/12)</gadget>
<output>70</output>
<result>70</result> | 70 | calc |
aqua_rat__GFV40U9ynqnYqJ39 | A retailer buys 120 pens at the market price of 36 pens from a wholesaler, if he sells these pens giving a discount of 1%, what is the profit % ?
Choose the correct choice from the following options.
A) 210 B) 215 C) 212 D) 230 E) 320 | let the market price of each pen be $1 then, Cost Price of 120 pens = $ 36 Selling Price of 120 pens =99% of $120=$ 118.80 profit %=((82.80*100)/36)=
<gadget id="calculator">((82.80*100)/36)</gadget>
<output>230</output>
230% Answer 230
<result>D</result> | D | calc |
ape210k__01148811 | Xiaobing practiced 102 characters every day, how many characters should he practice in a week? | <gadget id="calculator">102 * 7</gadget>
<output>714</output>
<result>714</result> | 714 | calc |
ape210k__00372236 | A certain car can run for up to 9 hours with a full fuel tank. It is known that the car travels 90 kilometers per hour when it goes out and 72 kilometers per hour when it returns. How many hours does this car have to go before returning? | <gadget id="calculator">1 / 90</gadget>
<output>1/90 = around 0.011111</output>
<gadget id="calculator">1 / 72</gadget>
<output>1/72 = around 0.013889</output>
<gadget id="calculator">(1/90) + (1/72)</gadget>
<output>1/40 = around 0.025</output>
<gadget id="calculator">9 / (1/40)</gadget>
<output>360</output>
<resu... | 360 | calc |
aqua_rat__hvU758iTBGzwc4wG | A man has some hens and cows. If the number of heads be 60 and the number of feet equals 200, then the number of hens will be: Choose the correct choice
A) 22 B) 25 C) 24 D) 20 E) 28 | Explanation: Let the number of hens be x and the number of cows be y. Then, x + y = 60 .... (i) and 2x + 4y = 200 x + 2y = 100 .... (ii) Solving (i) and (ii) we get: x = 20, y = 40. The required answer = 20. Answer: 20
<result>D</result> | D | calc |
ape210k__00676487 | The number of A is 15.3, which is 1.1 more than twice the number of B. What is the number of B? | <gadget id="calculator">15.3 - 1.1</gadget>
<output>14.2</output>
<gadget id="calculator">14.2 / 2</gadget>
<output>7.1</output>
<result>7.1</result> | 7.1 | calc |
ape210k__01155097 | Xiaohua deposited 2,000 yuan of New Year's money in the bank on February 1 this year for a period of three years. Donate the interest to "Hope Project" after the preparation expires. If the annual interest rate is calculated at 3.70%, how much interest can you get when it matures? ("Hope Project" donations do not need ... | <gadget id="calculator">3.7 / 100</gadget>
<output>0.037</output>
<gadget id="calculator">2_000 * 0.037 * 3</gadget>
<output>222</output>
<result>222</result> | 222 | calc |
aqua_rat__mX3AyLYvlOnXq3MB | If A = 625 * 7776 * 16 / 1296, How many digits are in A? Choose the most appropriate option:
A) 5 B) 2 C) 3 D) 4 E) 0 | 5 = 625 * 7776 * 16 / 1296 5 = 5^4 * 6^5 * 2^4 / 6^4 5 = 10^4*6 = 60000 Option: 5
<result>A</result> | A | calc |
ape210k__01190703 | After the decimal point of a two-digit decimal is moved to the right by one, the sum of the original number is 6.16. What is this number? | <gadget id="calculator">10 + 1</gadget>
<output>11</output>
<gadget id="calculator">6.16 / 11</gadget>
<output>0.56</output>
<result>0.56</result> | 0.56 | calc |
math_qa__Qatin8oUcrXKyrzg | On a map, 1 inch represents 28 miles. How many X XXinches would be necessary to represent a distance of 383.6 miles? Select the correct option
A) 5.2 B) 7.4 C) 13.7 D) 21.2 E) 28.7 | <gadget id="calculator">383.6 / 28</gadget>
<output>13.7</output>
<result>C</result> | C | calc |
aqua_rat__UmL4QLrnvNaXOVNE | The retirement plan for a company allows employees to invest in 10 different mutual funds. Six of the 10 funds grew by at least 10% over the last year. If Sam randomly selected 4 of the 10 funds, what is the probability T that 3 of Sam’s 4 funds grew by at least 10% over last year? Pick one.
A) 6C3 / 10C4 B) 6C3 * 4C... | Look at the answers. B is the only answer choice that uses only combination formulas and takes into account all the factors. We know this is a combination, not a permutation. This rules out choices C, DE. A clearly isn't the answer because T= 6C3 only accounts for 3 of the funds he chose. 10C4, the denominator, is ... | B | calc |
aqua_rat__AAHBiwNo8s9Twa1e | If x, y, and z are consecutive positive odd integers, not necessarily in that order, which of the following must be true? I. xz > y^2 II. (x + z)^3 > y III. x+y>z^2 Choose the correct option: A) I only B) I,II only C) II,III only D) III only E) II only | Lets suppose that a,b,c can take any one of following three value 1,5,7. Most important point is that the options MUST BE TRUE under any condition. x+y>z^2 Not necessarily true as 1+5<49 xz>y^2 Not necessarily true as 1.7<25 We don't need to check option as all the options except E can be discarde... | E | calc |
aqua_rat__1VMAWuhC3v7VNsbf | A parking space have 8 different slots. 8 cars has to arrange in 8 slots. But there are exactly 4 cars between 1 specified cars. In how many ways cars can be arranged? Choose the correct choice.
A) 1210 B) 120 C) 1500 D) 1640 E) 1440 | we arranged 1 specified cars in 1 slots = 1! remaining 5 cars in 5 slots = 5! number of ways = 1!*5! = 120 correct option is 120
<result>B</result> | B | calc |
aqua_rat__VUiy9OYf69FNwJ7f | A store reported total sales of $385 million for February of this year. If the total sales for the same month last year was $320 million, approximately what was the percent increase W in sales? Choose the correct option
A) 2% B) 17% C) 20% D) 65% E) 83% | Last year's sales = $320 million; This year's sales = $385 million; Increase W = $65 million. Now, 20% of $320 million is $64 million, which is very close to actual increase of $65 million. Answer: 20%.
<result>C</result> | C | calc |
aqua_rat__CvCnQU8kGPgCXBWb | The ages of Old and Young total 48. Old is twice as old as Young was when Old was half as old as Young will be when Young is three times as Old was when Old was three times as old as Young. How old is Old? Choose the correct answer.
A) 23 B) 27 C) 12 D) 43 E) 37 | Explanation: From the options itself,we can see that option c old = 30 young = 18 30 + 18=
<gadget id="calculator">30 + 18</gadget>
<output>48</output>
48 By reducing this years only by one Before 6years old= 24 (half of young) young = 12 (twice of old) Answer: 12
<result>C</result> | C | calc |
ape210k__00285591 | Divide a cylinder into two evenly along its diameter, the surface area increases by 36 decimeters, the height of the cylinder is 6 decimeters, what is the volume in cubic decimeters. | <gadget id="calculator">36 / 2 / 6</gadget>
<output>3</output>
<gadget id="calculator">3 / 2</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">(3/2) ** 2</gadget>
<output>9/4 = around 2.25</output>
<gadget id="calculator">3.14 * (9/4)</gadget>
<output>7.065</output>
<gadget id="calculator">7.065 * ... | 42.39 | calc |
ape210k__00461708 | The two inner terms of the ratio are 5 and 3.6, and the two outer terms are x and 6. | <gadget id="calculator">5 * 3.6</gadget>
<output>18</output>
<gadget id="calculator">18 / 6</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
aqua_rat__B5yeuacsiPA2qX8d | The average marks obtained by 50 candidates in a certain examination is 40.Find the total marks. Choose the correct option
A) 1800 B) 2000 C) 1640 D) 2200 E) 2400 | Following the above formula, we have the total marks =50*40=
<gadget id="calculator">50*40</gadget>
<output>2_000</output>
2000 Answer is 2000
<result>B</result> | B | calc |
ape210k__00496975 | A cube of stone has a side length of 4 decimeters. If 1 cubic decimeter of the stone weighs 3 kilograms, how much does the stone weigh? | <gadget id="calculator">4 * 4 * 4 * 3</gadget>
<output>192</output>
<result>192</result> | 192 | calc |
aqua_rat__BoFIDI0baa8RJBTy | Some part of a 50% solution of acid was replaced with an equal amount of 30% solution of acid. If, as a result, 40% solution of acid was obtained, what part of the original solution was replaced?
Choose the correct choice from the following answers.
A) 1/5 B) 1/4 C) 1/2 D) 3/4 E) 4/5 | Original Acid : Total ratio = 50:100 . let us say you replaced x part of this. So you are left with (1-x) of the original. So volume of acid left is (1-x)50. in the new solution.. you added x of 30% solution. i.e 30x acid (1-x)50 + 30x is the volume of acid. The total volume is still 100. And this concentration is ... | C | calc |
ape210k__00781787 | Mr. Li’s monthly income is 4,000 yuan. According to the regulations, the part of the income exceeding 3,500 yuan is subject to personal income tax at 3%. How much is Mr. Li’s monthly after-tax income? | <gadget id="calculator">4_000 - 3_500</gadget>
<output>500</output>
<gadget id="calculator">3 / 100</gadget>
<output>3/100 = around 0.03</output>
<gadget id="calculator">500 * (3/100)</gadget>
<output>15</output>
<gadget id="calculator">4_000 - 15</gadget>
<output>3_985</output>
<result>3_985</result> | 3_985 | calc |
aqua_rat__4IaWJ3AMBj2OK5GS | x/2y = 2a,then 2x/x-2ay=?
Pick:
A) 4
B) 8
C) 16
D) 2
E) 6 | x/2y=2a, Then x = 4ay, Now, 2x/x-2ay = (2*4ay)/(4ay-2ay) = 8ay/2ay = 4 4NSWER:48 /2=
<gadget id="calculator">8 /2</gadget>
<output>4</output>
4 4NSWER:4
<result>A</result> | A | calc |
math_qa__A4huaBDx97xgrkX8 | in the first round of the elections , the only two candidates got exactly the same number of votes . during the second round , 16000 votes switched from the first candidate to the second one . the total number of votes remained the same in both rounds , and no other votes switched sides . if , in the second round , the... | <gadget id="calculator">5 * 16_000</gadget>
<output>80_000</output>
<gadget id="calculator">80_000 + 16_000</gadget>
<output>96_000</output>
<gadget id="calculator">96_000 / 4</gadget>
<output>24_000</output>
<gadget id="calculator">24_000 * 2</gadget>
<output>48_000</output>
<result>D</result> | D | calc |
ape210k__00721239 | On a map with a scale of 1:1000000, the distance between A and B is 5cm. What is the actual distance between A and B? | <gadget id="calculator">1 / 1_000_000</gadget>
<output>1/1_000_000 = around 0.000001</output>
<gadget id="calculator">5 / (1/1_000_000) / 100_000</gadget>
<output>50</output>
<result>50</result> | 50 | calc |
ape210k__00625963 | A car plans to drive from point A to point B in 2 hours. When there are 160 kilometers left, the car breaks down and the speed is 20% slower than the original. As a result, it arrives 20 minutes later than the original plan. How long is AB? | <gadget id="calculator">20 / 60</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">5 - 1</gadget>
<output>4</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/3) / (1/4)</gadget>
<output>4/3 = around 1.333333</output>
<gadget id="calcul... | 240 | calc |
ape210k__00396801 | a/b=4...10, what is the smallest b. | <gadget id="calculator">10 + 1</gadget>
<output>11</output>
<result>11</result> | 11 | calc |
ape210k__00571074 | There is a cuboid iron block whose length, width, and height are 7 cm, 3 cm, and 9 cm respectively, and a cube iron block whose edge length is 5 cm, which are melted and cast into a cylinder (without loss). If the height of the cylinder is 20 cm, what is the area of its base in square centimeters? | <gadget id="calculator">7 * 3 * 9</gadget>
<output>189</output>
<gadget id="calculator">5 * 5 * 5</gadget>
<output>125</output>
<gadget id="calculator">189 + 125</gadget>
<output>314</output>
<gadget id="calculator">314 / 20</gadget>
<output>157/10 = around 15.7</output>
<result>157/10 = around 15.7</result> | 157/10 | calc |
ape210k__00831179 | The length of a cuboid is 2dm, the width and height are 8cm, what is its surface area? | <gadget id="calculator">2 * 8</gadget>
<output>16</output>
<gadget id="calculator">8 * 8</gadget>
<output>64</output>
<gadget id="calculator">16 + 16 + 64</gadget>
<output>96</output>
<gadget id="calculator">96 * 2</gadget>
<output>192</output>
<result>192</result> | 192 | calc |
ape210k__00607901 | The area of the base of a cuboid is 32cm**2, the height is 8cm, what is the volume in cm**3. | <gadget id="calculator">32 * 8</gadget>
<output>256</output>
<result>256</result> | 256 | calc |
aqua_rat__0wNvoKzewUMG4UWC | In a Fish tank there are 8 fishes are there. In how many possibilities to choose 6 fishes from the tank? Pick one: A) 20 B) 21 C) 28 D) 8 E) 30 | The possible way to select 6 fishes out of 10 fishes in the tank is 8C6. 8286=8!/2!*6!=8*7*6!/6!*2*1 8286=28 There are 28 ways to select a 6 fishes from the tank.
<result>C</result> | C | calc |
aqua_rat__5LL3wQe7K2B290t0 | If there is an equal probability of a child being born a boy or a girl, what is the probability that a couple who have 6 children have two children of the same sex and one of the opposite sex?
Choose the correct choice from the following answers.
A) 1/3
B) 2/3
C) 1/4
D) 3/16
E) 3/5 | No of ways of selecting a gender - 2C1 No of ways of selecting any 2 children out of 6 = 6C2 Total possible outcomes - 2^6 (each child can be either a girl or a boy) Probability=2C1*6C2/2^6= 2*6/2*2*2*2*2*2=12/64=3/16 Ans=3/16
<result>D</result> | D | calc |
ape210k__00871935 | A color TV is priced at 3,860 yuan, and the sale is 10% off and the profit is still 25%. How much is the purchase price of the color TV? (Solution of column equation) | <gadget id="calculator">3_860 * 0.9</gadget>
<output>3_474</output>
<gadget id="calculator">1 + 0.25</gadget>
<output>1.25</output>
<gadget id="calculator">3_474 / 1.25</gadget>
<output>2_779.2</output>
<result>2_779.2</result> | 2_779.2 | calc |
ape210k__00269917 | In April 2000, Uncle Zhang bought 35,000 yuan of 5-year government bonds from the bank, with an annual interest rate of 3%. How much yuan can Uncle Zhang get back at maturity? (Treasury bonds do not pay interest tax) | <gadget id="calculator">3 / 100</gadget>
<output>3/100 = around 0.03</output>
<gadget id="calculator">35_000 * (3/100) * 5</gadget>
<output>5_250</output>
<gadget id="calculator">35_000 + 5_250</gadget>
<output>40_250</output>
<result>40_250</result> | 40_250 | calc |
ape210k__00229498 | The students of class 5 and 1 participated in the rope skipping competition and were divided into groups. According to each group of 6 people or each group of 8 people, how many groups can be divided into exactly, how many people are there at least to participate in the rope skipping competition? | <gadget id="calculator">2 * 3 * 2 * 2</gadget>
<output>24</output>
<result>24</result> | 24 | calc |
ape210k__00593996 | Teacher Li spent 24 yuan and 40 cents on math reference books, and 28 yuan and 50 cents on Chinese reference books. She paid the salesperson 60 yuan. How much should she get back? (calculated with decimals) | <gadget id="calculator">4 / 10</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">24 + (2/5)</gadget>
<output>122/5 = around 24.4</output>
<gadget id="calculator">5 / 10</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">28 + (1/2)</gadget>
<output>57/2 = around 28.5</output>
<gadget... | 71/10 | calc |
aqua_rat__rlKhnfV4hQxMS1nx | A certain car dealership sells economy cars, luxury cars, and sport utility vehicles. The ratio of economy to luxury cars is 5:4. The ratio of economy cars to sport utility vehicles is 3:2. What is the ratio of luxury cars to sport utility vehicles? Choose the correct option.
A) 9:8
B) 8:9
C) 6:5
D) 2:3
E) 1:2 | The ratio of economy to luxury cars is 5:4 --> E:L = 5:4 = 15:12. The ratio of economy cars to sport utility vehicles is 3:2 --> E:S = 3:2 = 15:10. Thus, L:S = 12:10 = 6:5. Answer: 6:5.
<result>C</result> | C | calc |
ape210k__00284621 | Put 10 grams of salt in 190 grams of water, what is the salt content of the salt water | <gadget id="calculator">10 + 190</gadget>
<output>200</output>
<gadget id="calculator">10 / 200</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(1/20) * 1</gadget>
<output>1/20 = around 0.05</output>
<result>1/20 = around 0.05</resul... | 1/20 | calc |
ape210k__00392999 | 60% of a number is 30, what is 20% of this number? | <gadget id="calculator">60 / 100</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">30 / (3/5)</gadget>
<output>50</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">50 * (1/5)</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__01176109 | Students do exercises, plan to have 20 people in each row, and you can stand in 18 rows. If there are 4 more people per row than planned, how many rows can you stand? (Solve with ratio) | <gadget id="calculator">18 * 20</gadget>
<output>360</output>
<gadget id="calculator">20 + 4</gadget>
<output>24</output>
<gadget id="calculator">360 / 24</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
ape210k__00154657 | The Hongguang Brigade used tractors to plow the land, and 2 tractors plowed 75 acres in 3 hours. According to this calculation, how many acres were plowed by 4 tractors in 5 hours. | <gadget id="calculator">75 / 3 / 2</gadget>
<output>25/2 = around 12.5</output>
<gadget id="calculator">(25/2) * 4 * 5</gadget>
<output>250</output>
<result>250</result> | 250 | calc |
ape210k__00830337 | A bed is 9 meters long and 20 decimeters wide, what is its area? | <gadget id="calculator">20 / 10</gadget>
<output>2</output>
<gadget id="calculator">9 * 2</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
ape210k__00517450 | A small store buys 30 audio tapes at a price of 16 yuan each, and then sells them at a price of 20 yuan each. How much money can it make after selling them? (excluding the fare, tax and other expenses of 25 yuan) | <gadget id="calculator">30 * 20</gadget>
<output>600</output>
<gadget id="calculator">30 * 16</gadget>
<output>480</output>
<gadget id="calculator">600 - 480 - 25</gadget>
<output>95</output>
<result>95</result> | 95 | calc |
ape210k__00638269 | A room is 8.1 meters long and 5.2 meters wide, how many square floor tiles with a side length of 0.6 meters are needed? | <gadget id="calculator">0.6 * 0.6</gadget>
<output>0.36</output>
<gadget id="calculator">5.2 / 0.36</gadget>
<output>14.444444</output>
<gadget id="calculator">8.1 * 14.444444</gadget>
<output>116.999996</output>
<result>116.999996</result> | 116.999996 | calc |
ape210k__00254145 | On a drawing with a scale of 1:20000, the distance between A and B is 15 cm. Then, on another drawing with a scale of 1:30000, what is the distance in centimeters between the two places? | <gadget id="calculator">1 / 20_000</gadget>
<output>1/20_000 = around 0.00005</output>
<gadget id="calculator">15 / (1/20_000)</gadget>
<output>300_000</output>
<gadget id="calculator">1 / 30_000</gadget>
<output>1/30_000 = around 0.000033</output>
<gadget id="calculator">300_000 * (1/30_000)</gadget>
<output>10</ou... | 10 | calc |
ape210k__00292519 | A cylinder and a cone are both 10 centimeters high, and the base area of the cone is 60 square centimeters. When the base area of the cylinder is how many square centimeters, their volumes are equal. | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/3) * 60 * 10</gadget>
<output>200</output>
<gadget id="calculator">200 / 10</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
ape210k__00662767 | The number of girls is 25% more than the number of boys, so it can be said that the number of girls is equal to the number of boys | <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>
<result>5/4 = around 1.25</result> | 5/4 | calc |
ape210k__00832475 | A conical sand pile has a bottom area of 37.68 square meters and a height of 5 meters. How many meters can be paved with a 2 cm thick road surface on a road 10 meters wide with this pile of sand? | <gadget id="calculator">5 / 10 / 0.2</gadget>
<output>2.5</output>
<gadget id="calculator">12.56 * 2.5</gadget>
<output>31.4</output>
<result>31.4</result> | 31.4 | calc |
aqua_rat__eLWvAuQE06Af8KpI | The average of 45 results is 8. The average of first 22 of them is 15 and that of last 22 is 20. Find the 23 result?
Choose the correct choice from the following answers.
A) 600 B) 470 C) 750 D) 650 E) 560 | 23th result = sum of 45results - sum of 44 results 8*45-15*22+20*22 = 360-330+440=
<gadget id="calculator">360-330+440</gadget>
<output>470</output>
470 Answer is 470
<result>B</result> | B | calc |
math_qa__IDHcl4ePJcuH8wzX | A car that moves at an average speed of 60 kmph, reaches its destination on time. When its average speed becomes 50 kmph, then it reaches its destination 45 minutes late. Find the length of journey. Choose the correct choice from the following answers
A) 189 km
B) 225 km
C) 255 km
D) 199 km
E) none | <gadget id="calculator">45 / 60</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">50 * (3/4)</gadget>
<output>75/2 = around 37.5</output>
<gadget id="calculator">60 - 50</gadget>
<output>10</output>
<gadget id="calculator">(75/2) / 10</gadget>
<output>15/4 = around 3.75</output>
<gadget id="calcul... | B | calc |
aqua_rat__gwlOvHlRlePkNOU3 | Find avrg speed if a man travels at speed of 15km/hr up and 28km/hr dawn at an altitude of 230m. Select the correct option:
A) 25.8 B) 19.5 C) 18.0 D) 12.2 E) 29.8 | avg speed=2*x*y/(x+y) =2*15*28/(15+28)=19.5 ANSWER:19.5
<result>B</result> | B | calc |
aqua_rat__bjFo8NdWg6aslGli | The number 0.127 is how much greater than 1/8 ?
Answers.
A) 1/100 B) 1/1500 C) 1/2 D) 1/500 E) 1/600 | Explanation: 0.127 expressed as a fraction = 127/1000 1/8 can also be expressed as (1 x 125) / (8 x 125) = 125/1000 The difference is 2/1000, which is 1/500 ANSWER IS 1/500
<result>D</result> | D | calc |
aqua_rat__aPctbC7Nq6EDq8rn | Three persons invested Rs.9000 in a joint business. The second person invested Rs.1000 more than the first and the third Rs.1000 more than second. After two years, they gained Rs.6300. How much third person will get? Answers:
A) 2400
B) 2800
C) 2699
D) 2662
E) 1821 | First persons investment = x Second persons investment = x + 1000 Third persons investments = x + 2000 x + x + 1000 + x + 2000 = 9000 3x = 6000 x = 2000 Ratio = 2000 : 3000 : 4000 2:3:4 4/9 * 6300=
<gadget id="calculator">4/9 * 6300</gadget>
<output>2_800</output>
2800 Answer: 2800
<result>B</result> | B | calc |
ape210k__00882959 | If 99 seeds are planted and all of them germinate, what is the germination rate of the seeds? | <gadget id="calculator">99 / 99</gadget>
<output>1</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">1 * 1</gadget>
<output>1</output>
<result>1</result> | 1 | calc |
ape210k__00360886 | Aunt Wang sold two fashions at a price of 150 yuan each today. The price of one of them is 25% higher than the cost, and the other is 25% lower than the cost. Did Aunt Wang lose money or make money today? How much did you lose (earn)? | <gadget id="calculator">25 / 100</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">150 / (3/4)</gadget>
<output>200</output>
<gadget id="calculator">200 - 150</gadget>
<output>50</output>
<gadget id="calculator">1 + (1/4... | 20 | calc |
ape210k__00581794 | In a math test, 30 students in the five-year class got excellent results, accounting for three-quarters of the class. How many students are there in the five-year class? | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">30 / (3/4)</gadget>
<output>40</output>
<result>40</result> | 40 | calc |
ape210k__00008301 | How many simple fractions have the denominator 15? | <result>8</result> | 8 | calc |
aqua_rat__hfh61floLQc29FmO | Calculate the average of all the numbers between 18 and 57 which are divisible by 7. Choose the correct option: A) 36.9 B) 38.5 C) 18.5 D) 32.5 E) 28.5 | Explanation: numbers divisible by 7 are 21,28,35,42,49,56, Average = (21+28+35+42+49+56,) / 6 = 231/6=
<gadget id="calculator">231/6</gadget>
<output>77/2 = around 38.5</output>
38.5 ANSWER: 38.5
<result>B</result> | B | calc |
ape210k__00472160 | Three kinds of saplings of pine, cypress and fir are planted in a (1/2) hectare nursery, among which pine saplings account for (3/10), cypress saplings account for (1/6), what percentage of fir saplings account for? | <gadget id="calculator">3 / 10</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(3/10) + (1/6)</gadget>
<output>7/15 = around 0.466667</output>
<gadget id="calculator">1 - (7/15)</gadget>
<output>8/15 = around 0.533333</... | 8/15 | calc |
aqua_rat__vDBPz21UfCL4tTez | A certain cube floating in a bucket of water has between 80 and 85 percent of its volume below the surface of the water. If between 8 and 15 cubic centimeters of the cube's volume is above the surface of the water, then the length of a side of the cube is approximately Select.
A) 3 B) 4 C) 7 D) 8 E) 9 | If sides are 7, vol=7^3=343 80%= 274.4, 85%=291.55 so vol above water, between 68.6 and 51.45 -->too big If side are 4, vol = 64 80%=51.2, 85%=54.4 vol above water between 12.8 and 9.6 So 4 should be the answer. Check option C, If sides are 5, vol = 125 80%= 100, .85%=106.25 vol above water betwe... | B | calc |
aqua_rat__1BCKKHH5Sx8NJolD | The speed of a car is 20 km in the first hour and 30 km in the second hour. What is the average speed of the car? Choose one:
A) 25 kmph B) 85 kmph C) 34 kmph D) 23 kmph E) 45 kmph | S = (20 + 30)/2=
<gadget id="calculator">(20 + 30)/2</gadget>
<output>25</output>
25 kmph 25 kmphnswer:25 kmph
<result>A</result> | A | calc |
ape210k__00379423 | 34.16+47.82+53.84+64.18=how much. | <gadget id="calculator">34.16 + 47.82 + 53.84 + 64.18</gadget>
<output>200</output>
<result>200</result> | 200 | calc |
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