id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00815685 | The average score of Xiaolan, Xiaoming, and Xiaoqiang in the mid-term exam is 94 points. It is known that Xiaolan scored 96 points and Xiaoming scored 88 points. What is the score of Xiaoqiang. | <gadget id="calculator">94 * 3</gadget>
<output>282</output>
<gadget id="calculator">282 - 96 - 88</gadget>
<output>98</output>
<result>98</result> | 98 | calc |
ape210k__00222167 | There are two beautiful monkey kings, and the age of the elder brother (5/9) is exactly (2/3) the age of the younger brother, so what is the minimum sum of the ages of the two monkeys? | <gadget id="calculator">5 + 6</gadget>
<output>11</output>
<result>11</result> | 11 | calc |
ape210k__00933719 | There are 24 boys, 4% less than girls. How many girls are there? | <gadget id="calculator">4 / 100</gadget>
<output>1/25 = around 0.04</output>
<gadget id="calculator">1 - (1/25)</gadget>
<output>24/25 = around 0.96</output>
<gadget id="calculator">24 / (24/25)</gadget>
<output>25</output>
<result>25</result> | 25 | calc |
ape210k__01159021 | Mobile phone call charges have been continuously reduced. A certain mobile phone call charge used to be 0.44 yuan per minute, but now it is 0.22 yuan per minute. How much is the reduction? | <gadget id="calculator">0.44 - 0.22</gadget>
<output>0.22</output>
<gadget id="calculator">0.22 / 0.44</gadget>
<output>0.5</output>
<result>0.5</result> | 0.5 | calc |
aqua_rat__GCBjzKXv0c28REa5 | Of all the players in a professional baseball league, 1/2 are foreign-born, including 1/3 of the pitchers. If 3/4 of the players are pitchers, what percentage of the players who are not pitchers are foreign-born? Choose the correct choice from the following answers: A) 100% B) 75% C) 66 2/3% D) 50% E) 25% | Assume that the total number of players is 100. 1/2 are foreign born, so 50 are foreign born. 75 players are pitchers out of which 1/3 are foreign born. 25 players are foreign born and pitchers. The other 25 who are foreign born are thus not pitchers. Thus out of 25 non pitchers, 25 are foreign born. 100%nswer: 100... | A | calc |
ape210k__00105349 | Increase the concentration of 100 grams of sugar water containing 10% sugar to 20%, how many grams of water should be evaporated | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/10) / (1/5)</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">100 * (1/2)</gadget>
<output>50</output>
<gadget id="calc... | 50 | calc |
aqua_rat__gxR4yPgbl1IwVKAD | The area of sector of a circle whose radius is 12 metro and whose angle at the center is 42° is?
Choose the most appropriate option.
A) 26.4 m2 B) 39.6 m2 C) 52.8 m2 D) 79.2 m2 E) None of these | Explanation: 42/360 * 22/7 * 12 * 12=
<gadget id="calculator">42/360 * 22/7 * 12 * 12</gadget>
<output>264/5 = around 52.8</output>
52.8 m2 ANSWER IS 52.8 m2
<result>C</result> | C | calc |
ape210k__00736769 | The school bought 5 volleyballs and 8 footballs for a total of 378 yuan. The price of each football is twice the price of volleyballs. How much is each volleyball? | <gadget id="calculator">8 * 2</gadget>
<output>16</output>
<gadget id="calculator">5 + 16</gadget>
<output>21</output>
<gadget id="calculator">378 / 21</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
ape210k__00594505 | Wang Yuchen used a 2-meter-long rope to measure the circumference of the trunk of a tree. After the rope went around the trunk for two weeks, it was 0.116 meters longer. What is the diameter of the cross-section of the trunk of this tree in meters? | <gadget id="calculator">2 - 0.116</gadget>
<output>1.884</output>
<gadget id="calculator">1.884 / 2 / 3.14</gadget>
<output>0.3</output>
<result>0.3</result> | 0.3 | calc |
aqua_rat__Ujz4SUavGhwx4Dh5 | 4y - 4x = xy and x ≠ 0. If x and y are integers, which of the following could equal y? Choose the correct choice from the following choices.
A) 2 B) 1 C) 0 D) 5 E) 6 | Plug in the answer choices in the equation from the question stem. A) y = 2 >>> 4-x = 4x >>> No value of x will satisfy this, not even 0. POE B) y = 1 >>> 2 - x = 2x >>> Same, POE C) y = 0 >>> -x = 0 >>> x can not equal 0 D) y = -1 >>> 8 - 4=
<ga... | A | calc |
aqua_rat__1ruALMenVJ6suIp3 | A car covers a distance of 630 km in 6 hours. Find its speed?
Choose the correct choice.
A) 105 B) 7778 C) 266 D) 288 E) 121 | 624/6 = 105 kmph 105nswer:105
<result>A</result> | A | calc |
aqua_rat__f8DWacMNoZAC7w6d | On a test, students receive 6 points for each correct answer and are penalized by losing 3 points for each incorrect answer. There are 6 questions on the test and each question has 4 answer options, A, B, C, and D. It is known that 5 of the questions have option B as the correct answer and one question has option C as ... | For the minimum possible score, let us take the worst case scenario Suppose, he gets all of the last 3 qs wrong whose correct answer options are B and one of the first 3 qs wrong whose correct option is C In that case, he will get only 2 out of the first 3 qs right. Therefore, minimum possible score=(6*2)-(4*3)= ... | C | calc |
math_qa__WQZFdivIAoo3zXOH | A envelop weight 8.5 gm,if 800 of these envelop are sent with an advertisement mail. How much wieght?
Pick one:
A) 6.6 kg
B) 6.8 kg
C) 6.7 kg
D) 6.9 kg
E) 7.8 kg | <gadget id="calculator">8.5 * 800</gadget>
<output>6_800</output>
<gadget id="calculator">6_800 / 1_000</gadget>
<output>34/5 = around 6.8</output>
<result>B</result> | B | calc |
aqua_rat__WSw5ZeQI2PMZejw0 | Machine A can process 6000 envelopes in 3 hours. Machines B and C working together but independently can process the same number of envelopes in 2.5 hours. If Machines A and C working together but independently process 3000 envelopes in 1 hour, then how many hours would it take Machine B to process 4200 envelopes. Choo... | You can either take the amount of work done as the same as Karishma has done or take the work done by each in the same time. I will do the latter 1. Work done in 1 hr by A is 2000 envelopes 2. Work done in 1 hr by A and C is 3000 envelopes 3. So work done in 1 hr by C is 1000 envelopes 4. Work done in 1 hr by B... | B | calc |
ape210k__00131883 | Uncle Wang raised 9 cages of rabbits, each with 4 rabbits, and sold them for a total of 864 yuan. How much did each rabbit sell on average? | <gadget id="calculator">9 * 4</gadget>
<output>36</output>
<gadget id="calculator">864 / 36</gadget>
<output>24</output>
<result>24</result> | 24 | calc |
ape210k__00174618 | What is the difference between (1/3) minus (1/4) (1/2). | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/4) * (1/2)</gadget>
<output>1/8 = around 0.125</output>
<gadget ... | 5/24 | calc |
ape210k__00329372 | A store ships 26 boxes of apples and 24 boxes of pears, each weighing 50 kilograms. How many kilograms of apples and pears are shipped in total? | <gadget id="calculator">26 + 24</gadget>
<output>50</output>
<gadget id="calculator">50 * 50</gadget>
<output>2_500</output>
<result>2_500</result> | 2_500 | calc |
ape210k__01108915 | A triangular piece of land has a base of 200 meters and a height of 28 meters. This year, a total of 700 kilograms of rapeseed will be harvested. How many kilograms of rapeseed will be harvested on average per hectare? | <gadget id="calculator">700 / 0.28</gadget>
<output>2_500</output>
<result>2_500</result> | 2_500 | calc |
math_qa__avbOwRR8GZeLpUfa | x and y are positive integers. When x is divided by 9, the remainder is 2, and when x is divided by 7, the remainder is 4. When y is divided by 11, the remainder is 3, and when y is divided by 13, the remainder is 12. What is the least possible value of y - x? Select.
A) 12 B) 13 C) 14 D) 15 E) 16 | <gadget id="calculator">11 * 2</gadget>
<output>22</output>
<gadget id="calculator">22 + 3</gadget>
<output>25</output>
<gadget id="calculator">2 + 9</gadget>
<output>11</output>
<gadget id="calculator">25 - 11</gadget>
<output>14</output>
<result>C</result> | C | calc |
ape210k__00585962 | Mom deposits 10,000 yuan in the bank for a period of three years. The annual interest rate at that time was 5.40%. How much yuan can she actually get after the maturity? (Interest tax is calculated at 20%) | <gadget id="calculator">5.4 / 100</gadget>
<output>0.054</output>
<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">10_000 * 0.054 * 3 * (4/5)</gadget>
<output>1_296</output>
<gadget id="ca... | 11_296 | calc |
aqua_rat__v3Yf0JMjrtUuPFXb | 50 boys and 100 girls are examined in a test; 50% of the boys and 40% of the girls pass. The percentage of the total who failed is ?
Choices.
A) 42.5% B) 62.1% C) 56.7% D) 39.9% E) 51.4% | Total number of students = 50+100=
<gadget id="calculator">50+100</gadget>
<output>150</output>
150 Number of students passed= (50% of 50+40% of 100) = 25+40=
<gadget id="calculator">25+40</gadget>
<output>65</output>
65 number of failures= 85*100/150 = 56.7% Answer is 56.7%
<result>C</result> | C | calc |
ape210k__00252464 | On a map with a scale of (1/1500000), the distance between A and B is measured to be 9.2 centimeters. How many kilometers is the distance between A and B? | <gadget id="calculator">1 / 1_500_000</gadget>
<output>1/1_500_000 = around 0.000001</output>
<gadget id="calculator">9.2 / (1/1_500_000) / 100_000</gadget>
<output>138</output>
<result>138</result> | 138 | calc |
aqua_rat__db1jTFSZ7XMnFGfd | Set S consists of integers {7, 8, 10, 12, 13}. If integer n is included in the set, the average (arithmetic mean) of set S will increase by 10%. What is the value of integer n?
Answers
A) 10
B) 12
C) 16
D) 22
E) 24 | The average of the numbers in set S is 10. If we increase the mean by 10%, the new mean is 11. Thus, on average, 5 numbers increase by 1. Therefore n = 11+5=
<gadget id="calculator">11+5</gadget>
<output>16</output>
16 The answer is 16.
<result>C</result> | C | calc |
aqua_rat__ao759oIed5bpLhnw | The maximum number of students among them 1001 pens and 910 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils? Choose the correct option:
A) 87 B) 91 C) 100 D) 96 E) 101 | number of pens = 1001 number of pencils = 910 Required number of students = H.C.F. of 1001 and 910 = 91 Answer is 91
<result>B</result> | B | calc |
ape210k__00608098 | Reduce the numerator of (6/9) to the original (1/3). To keep the size of the fraction unchanged, the denominator should be the same. | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<result>1/3 = around 0.333333</result> | 1/3 | calc |
ape210k__01188421 | If 9-4X=1, then 4(X-1.5)=how much. | <gadget id="calculator">2 - 1.5</gadget>
<output>0.5</output>
<gadget id="calculator">4 * 0.5</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
ape210k__00273761 | By looking up information, we know that in order to maintain life, each person needs about 2.5 liters of water per day, and how many liters of water are needed by 5 million people per day. | <gadget id="calculator">500 * 10_000</gadget>
<output>5_000_000</output>
<gadget id="calculator">5_000_000 * 2.5</gadget>
<output>12_500_000</output>
<result>12_500_000</result> | 12_500_000 | calc |
ape210k__01046699 | There is a bag of candies, the total number of which does not exceed 30. These candies can be distributed to 3, 6, or 8 children on average. How many candies are there in this bag? | <gadget id="calculator">2 * 2 * 2 * 3</gadget>
<output>24</output>
<result>24</result> | 24 | calc |
ape210k__00116988 | The circumference of a circle is 18.84 centimeters, what is its diameter in centimeters? | <gadget id="calculator">18.84 / 3.14</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
aqua_rat__p1V16R7jeQasYBBt | Sabrina is contemplating a job switch. She is thinking of leaving her job paying $85,000 per year to accept a sales job paying $45,000 per year plus 15 percent commission for each sale made. If each of her sales is for $2,000, what is the least number of sales she must make per year if she is not to lose money because ... | Lets say she sales x items so her commission will be : x * 2000*15/100 = 300x Salary difference is: 85000 - 45000=
<gadget id="calculator"> 85000 - 45000</gadget>
<output>40_000</output>
40000 So commission must at least be equal to salary difference i.e. x= 40000/300= 133 (Approx). Hence answer is 133
<resul... | B | calc |
ape210k__00198542 | Fill in an appropriate number in □ of 19□2 so that the four-digit number can be divisible by 3. How many ways are there to fill it in? | <result>4</result> | 4 | calc |
ape210k__00560674 | How many zeros are there at the end of the product of 25*24? | <result>2</result> | 2 | calc |
ape210k__00138997 | The sum of the lengths of a cuboid is 48cm, the width is 2cm, and the length is twice the width. What is its surface area? | <gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">4 * 2</gadget>
<output>8</output>
<gadget id="calculator">48 / 4</gadget>
<output>12</output>
<gadget id="calculator">12 - 4 - 2</gadget>
<output>6</output>
<gadget id="calculator">4 * 6</gadget>
<output>24</output>
<gadget id="calcu... | 88 | calc |
ape210k__00172012 | The agricultural materials company needs to transport 250 tons of fertilizers to the countryside, 60% of which are transported by ship and the rest by truck. How many tons more are shipped by ship than by truck? | <gadget id="calculator">60 / 100</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 - (3/5)</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(3/5) - (2/5)</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">250 * (1/5)</gadget>
<output>50</output>
<result>50</resul... | 50 | calc |
math_qa__tIWyvGdQU9bxzwil | If the product of 6 integers is negative, at most how many of the integers can be negative? Options
A) 2 B) 3 C) 4 D) 5 E) 6 | <gadget id="calculator">6 - 1</gadget>
<output>5</output>
<result>D</result> | D | calc |
ape210k__01082021 | A book has 60 pages. I read it on the first day (1/6). What page should I start reading on the second day? | <gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">60 * (1/6)</gadget>
<output>10</output>
<gadget id="calculator">10 + 1</gadget>
<output>11</output>
<result>11</result> | 11 | calc |
ape210k__00655177 | 10+5**2=how much. | <gadget id="calculator">5 ** 2</gadget>
<output>25</output>
<gadget id="calculator">10 + 25</gadget>
<output>35</output>
<result>35</result> | 35 | calc |
math_qa__iMZBiO4bXxTi4ZMk | At the opening of a trading day at a certain stock exchange, the price per share of stock K was $6. If the price per share of stock K was $8 at the closing of the day, what was the percent increase in the price per share of stock K for that day? Select
A) 1.4 % B) 5.9 % C) 11.1 % D) 12.5 % E) 33.33 % | <gadget id="calculator">8 / 6</gadget>
<output>4/3 = around 1.333333</output>
<gadget id="calculator">(4/3) - 1</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/3) * 100</gadget>
<output>100/3 = around 33.333333</output>
<result>E</result> | E | calc |
ape210k__00152395 | The drawing scale of a precision part is 8:1. Draw a 4cm line segment on the drawing to indicate the actual length in cm. | <gadget id="calculator">8 / 1</gadget>
<output>8</output>
<gadget id="calculator">4 / 8</gadget>
<output>1/2 = around 0.5</output>
<result>1/2 = around 0.5</result> | 1/2 | calc |
ape210k__00515137 | Wang Qiang's height is 180 cm, 12.5% taller than Zhao Fang. How many centimeters is Zhao Fang's height? | <gadget id="calculator">12.5 / 100</gadget>
<output>0.125</output>
<gadget id="calculator">1 + 0.125</gadget>
<output>1.125</output>
<gadget id="calculator">180 / 1.125</gadget>
<output>160</output>
<result>160</result> | 160 | calc |
ape210k__00046737 | If one side of a rectangle is reduced (1/5) and the other side is increased by 2 meters, a square is obtained, which is exactly equal to the area of the original rectangle, so how many square meters is the area of the original rectangle? | <gadget id="calculator">1 / 5</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">1 / (4/5)</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">(5/4) - 1</gadget>
<output>1/4 = around 0.25</output>
<gadget id... | 100 | calc |
math_qa__2xeTm7MSSGuDZM5i | The ratio between the number of passengers travelling by I and II class between the two railway stations is 1 : 50, whereas the ratio of I and II class fares between the same stations is 3 : 1. If on a particular day Rs. 1,325 were collected from the passengers travelling between these stations, then what was the amoun... | <gadget id="calculator">50 * 1</gadget>
<output>50</output>
<gadget id="calculator">10 * 100</gadget>
<output>1_000</output>
<gadget id="calculator">3 * 100</gadget>
<output>300</output>
<gadget id="calculator">1_000 + 300</gadget>
<output>1_300</output>
<gadget id="calculator">2 * 10</gadget>
<output>20</output>
... | D | calc |
aqua_rat__vzcBMqGKJVCGMTGE | Company KW is being sold, and both Company A and Company B were considering the purchase. The price of Company KW is 90% more than Company A has in assets, and this same price is also 100% more than Company B has in assets. If Companies A and B were to merge and combine their assets, the price of Company KW would be ap... | Let the price of Company A's assets be 100 Price of assets of KW is 90% more than company A's assets which is 190 Price of assets of KW is 100% more than company B's assets which means price of Company B's assets is half the price of KW = 95 A+B = 195 KW = 190 KW/(A+B)*100 = 190/195*100 = 97.43% or 97%97%
<re... | D | calc |
aqua_rat__7KWzcdw7H57jwKwn | How many words with or without meaning, can be formed by using all the letters of the word, 'DELHI' using each letter exactly once?
Choose the most appropriate option
A) 720 B) 24 C) None of these D) 120 E) 247 | Explanation : The word 'DELHI' has 5 letters and all these letters are different. Total words (with or without meaning) formed by using all these 5 letters using each letter exactly once = Number of arrangements of 5 letters taken all at a time = 5P5 = 5! = 5 x 4 x 3 x 2 x 1 = 120. Answer : Option 120
<result... | D | calc |
ape210k__00722457 | In 8:5, if 8 is added to the former term, how much should the latter term be to keep the ratio constant? | <result>2</result> | 2 | calc |
aqua_rat__HIIHX7bphTx4aZvY | How many integers k greater than 100 and less than 600 are there such that if the hundreds and the unit digits of k are reversed, the resulting integer is k + 99?
Select the correct option.
A) 40 B) 60 C) 70 D) 80 E) 90 | Not sure if this is the shortest.. But this is how I did this There are 8 sets of integers with hundreds and units digits exchanged that satisfies k + 99. 1. 102 | 201 (satisfies k+99, where k = 102) 2. 203 | 302 (satisfies k+99, where k = 203) 3. ... 4. 405 | 504 Each set has 10 such numbers. 1. 102 | 20... | A | calc |
aqua_rat__Hj8cLk7aq9BH92xm | Will must choose a 3-character computer password, consisting of 3 distinct digits, in any order.From how many different passwords can Will choose? Choose one.
A) 390 B) 2,340 C) 4,320 D) 7,020 E) 14,040 | 10C1*9C1*8C1 = 720. =>720 * 3 ! = 4320. Option E is correct answer...but OA is 4,320.
<result>C</result> | C | calc |
ape210k__00103265 | The school originally planned to invest 240,000 yuan in the construction of the playground, but the actual investment was 180,000 yuan to achieve the goal. How much investment has actually been saved compared with the plan. | <gadget id="calculator">24 - 18</gadget>
<output>6</output>
<gadget id="calculator">6 / 24</gadget>
<output>1/4 = around 0.25</output>
<result>1/4 = around 0.25</result> | 1/4 | calc |
ape210k__00220656 | Xiao Ming is 9 years old this year, and his father's age is three times that of Xiao Ming's, which is 6 years old. How old is his father this year? | <gadget id="calculator">9 * 3</gadget>
<output>27</output>
<gadget id="calculator">27 + 6</gadget>
<output>33</output>
<result>33</result> | 33 | calc |
ape210k__00338746 | If the decimal point of a decimal is moved one place to the right, the number will increase by 45.9. What is the original number? | <gadget id="calculator">10 - 1</gadget>
<output>9</output>
<gadget id="calculator">45.9 / 9</gadget>
<output>5.1</output>
<result>5.1</result> | 5.1 | calc |
ape210k__00959149 | To produce a batch of parts, first A alone will do 3 hours to complete (1/6) of the total number, and then A and B will work together for 2 hours to complete (4/9) of the total number. It is known that B can make 70 parts per hour How many parts are there in total? | <gadget id="calculator">4 / 9</gadget>
<output>4/9 = around 0.444444</output>
<gadget id="calculator">(4/9) / 2</gadget>
<output>2/9 = around 0.222222</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(1/6) / 3</gadget>
<output>1/18 = around 0.055556</outp... | 420 | calc |
aqua_rat__3ZqVEluI1JfuJWcp | From the starting point in a boat race, one competitor started to sail north at a speed of 1.1 Km/h, the other competitor started to sail west at a speed of 1.2 Km/h. What is the distance in Km between the two competitors after 5 hours? Answers:
A) 8.1
B) 12.
C) 12.5.
D) 14.
E) 15.4. | Both competitors are sailing making angle of 90 degrees. 8.1fter 5 hrs one competitor will cover a distance of = 1.1 *5=
<gadget id="calculator">1.1 *5</gadget>
<output>5.5</output>
5.5 KM 8.1nd, other competitor will cover a distance of= 1.2*5=
<gadget id="calculator">1.2*5</gadget>
<output>6</output>
6KM dist... | A | calc |
aqua_rat__myy8qWDzlusy4JVL | A man whose speed is 6.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 2.5 kmph, find his average speed for the total journey ?
Pick one.
A) 1 kmph B) 5 kmph C) 5.5 kmph D) 4 kmph E) 7 kmph | Explanation: Speed of Man = 6.5 kmph Speed of stream = 2.5 kmph Speed in DownStream = 9 kmph Speed in UpStream = 4 kmph Average Speed = (2 x 9 x 4)/13 = 5.5 kmph. Answer: 5.5 kmph
<result>C</result> | C | calc |
ape210k__01207943 | Add 21 to the latter term of 2:7, to keep the ratio constant, how much should the former term be. | <gadget id="calculator">7 + 21</gadget>
<output>28</output>
<gadget id="calculator">28 / 7</gadget>
<output>4</output>
<gadget id="calculator">2 * 4</gadget>
<output>8</output>
<gadget id="calculator">8 - 2</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__00428567 | The swimming pool fills an empty swimming pool with a length of 50 meters, a width of 2.5 meters and a depth of 1.6 meters. After 0.6 hours, the water depth reaches 0.2 meters. In this case, how many hours can it be filled? | <gadget id="calculator">50 * 2.5 * 1.6</gadget>
<output>200</output>
<gadget id="calculator">50 * 2.5 * 0.2</gadget>
<output>25</output>
<gadget id="calculator">200 / 25</gadget>
<output>8</output>
<gadget id="calculator">8 * 0.6</gadget>
<output>4.8</output>
<result>4.8</result> | 4.8 | calc |
ape210k__00989103 | The fruit shop shipped 139 boxes of fruit, sold 25 boxes in the morning, and sold 9 boxes more in the afternoon than in the morning. How many cases were sold in total today? | <gadget id="calculator">25 + 9 + 25</gadget>
<output>59</output>
<result>59</result> | 59 | calc |
ape210k__00033559 | The price of a volleyball is 52.8 yuan, and the price of a football is 1.5 times that of a volleyball. How much does it cost to buy a volleyball and a football? | <gadget id="calculator">52.8 * 1.5</gadget>
<output>79.2</output>
<gadget id="calculator">79.2 + 52.8</gadget>
<output>132</output>
<result>132</result> | 132 | calc |
ape210k__00419078 | Subtract the product of x and 2 from 30, the difference is 14, find x, the correct solution is x=how much | <gadget id="calculator">14 + 2</gadget>
<output>16</output>
<gadget id="calculator">16 / 2</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__00152195 | If (1/97)+(3/97)=(2/97)*2=(4/97); (1/97)+(3/97)+(5/97)=(3/97) *3=(9/97); (1/97)+(3/97)+(5/97)+(7/97)=(4/97)*4=(16/97), then (1 /97)+(3/97)+(5/97)+…+(49/97)=how many | <gadget id="calculator">25 / 97</gadget>
<output>25/97 = around 0.257732</output>
<gadget id="calculator">(25/97) * 25</gadget>
<output>625/97 = around 6.443299</output>
<result>625/97 = around 6.443299</result> | 625/97 | calc |
ape210k__00262939 | Jun Junjia saves 12 square meters of water in half a year. How much water is saved per month on average? what is the correct formula | <gadget id="calculator">12 / 6</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
aqua_rat__ShFIIp1fTMLwfcZJ | A grocer is storing soap boxes in cartons that measure 25 inches by 42 inches by 60 inches. If the measurement of each soap box is 7 inches by 12 inches by 5 inches, then what is the maximum number of soap boxes that can be placed in each carton? Choose the most appropriate option
A) 210 B) 150 C) 280 D) 300 E) 420 | however the process of dividing the volume of box by the volume of a soap seems flawed but it does work in this case due to the numbers Dimensions of the box =25*42*60 Dimensions of the soap = 5*12*7 placing the 7 inch side along 42 inch side we get 6 soaps in a line and in a similar way 5 along 25 and 6 along 60... | B | calc |
ape210k__00516633 | What is the reduction of 3 to its (1/100); the ((())/(())) of 5.6 is 0.056. | <result>0.03</result> | 0.03 | calc |
ape210k__00632703 | Column calculation: the ratio of a number to 46 is 3:2, what is this number? | <gadget id="calculator">46 * 3</gadget>
<output>138</output>
<gadget id="calculator">138 / 2</gadget>
<output>69</output>
<result>69</result> | 69 | calc |
ape210k__00873469 | Simple calculation: 199+1999+19999+199999. | <gadget id="calculator">199 + 1_999 + 19_999 + 199_999</gadget>
<output>222_196</output>
<result>222_196</result> | 222_196 | calc |
ape210k__00056978 | The garment factory plans to produce a batch of children's clothing. On the first day, it produced 30% of the total clothing, and on the second day it produced 9/20 of the total clothing. The second day produced 960 more pieces than the first day. How many pieces of children's clothing are there? | <gadget id="calculator">9 / 20</gadget>
<output>9/20 = around 0.45</output>
<gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">(9/20) - (3/10)</gadget>
<output>3/20 = around 0.15</output>
<gadget id="calculator">960 / (3/20)</gadget>
<output>6_400</output>
<result>6... | 6_400 | calc |
aqua_rat__I2P2jgAwd7pjZPhD | A house seller can deduct 5 percent from the total sales value. If he has sold 5 houses, and the price of two houses is between $100,000 and $250,000, one of them is $300,000 house, two houses are between $500,000 and 750,000, what is the range of his revenue?
Choose the correct answer
A) 800 B) 850 C) 875 D) 880 E) 90... | (1) 2(100)+300+2(500) = 1500 1500*0.95=
<gadget id="calculator">1500*0.95</gadget>
<output>1_425</output>
1425 (Revenue considering the minimum values with the discount) (2) 2(250)+300+2(750)= 2300 (Revenue considering the maximum values without the discount) So, the the revenue range could be = 2300 - 1425=
<g... | C | calc |
ape210k__00269552 | If you use square bricks to lay the area of a warehouse, if you use square bricks with a side length of 8 decimeters, you need 200 pieces. If you use square bricks with a side length of 10 decimeters, how many pieces do you need? (Solve with ratio) | <gadget id="calculator">8 * 8 * 200</gadget>
<output>12_800</output>
<gadget id="calculator">10 * 10</gadget>
<output>100</output>
<gadget id="calculator">12_800 / 100</gadget>
<output>128</output>
<result>128</result> | 128 | calc |
ape210k__00036669 | Xiaoliang walked 3 kilometers in 30 minutes. What fraction of the distance does he walk on average per minute? | <gadget id="calculator">1 / 30</gadget>
<output>1/30 = around 0.033333</output>
<result>1/30 = around 0.033333</result> | 1/30 | calc |
ape210k__00051830 | If one number is multiplied by two adjacent numbers, the difference between the two products obtained is 100. What is the number? | <gadget id="calculator">100 / 1</gadget>
<output>100</output>
<result>100</result> | 100 | calc |
aqua_rat__ExCisnp018VqN7al | A group of hikers is planning a trip that will take them up a mountain using one route and back down using another route. They plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up, but the time each route will take is the same. If they will go up the mountain at a rate... | On the way down, the rate is 1.5*5=
<gadget id="calculator"> 1.5*5</gadget>
<output>7.5</output>
7.5 miles per day. The distance of the route down the mountain is 2*7.5=
<gadget id="calculator"> 2*7.5</gadget>
<output>15</output>
15 miles. The answer is 15.
<result>E</result> | E | calc |
aqua_rat__KTLbePyB6W4fa4Nu | If 45% of z is 90% of y and y is 75% of x, what percent of x is z?
Select the correct option:
A) 200
B) 160
C) 100
D) 65
E) 150 | (45/100)z = (90/100)y and y = (75/100)x i.e. y = (3/4)x i.e. (45/100)z = (90/100)*(3/4)x i.e. z = (90*3)x/(45*4) i.e. z = (1.5)x = (150/100)x i.e. z is 150% of x Answer: Option 150
<result>E</result> | E | calc |
ape210k__01175509 | In the love activity, the third grade students donated a total of 350 yuan, which was 80 yuan less than the fourth grade students. How much did the third and fourth grade students donate in total? | <gadget id="calculator">350 + 80 + 350</gadget>
<output>780</output>
<result>780</result> | 780 | calc |
aqua_rat__FsmGIR3ZoiiKBTOB | Alex has $246,713 dollars in his savings account. What is the least amount of money (in whole number of dollars) that he must remove from his account if he wants to split this money evenly among his 6 children?
Choices: A) $1 B) $2 C) $3 D) $4 E) $5 | In order to divide the sum into 6 parts, the amount must be divisible by 6. Divisibility rule of 6: A number is divisible by 6 if it is divisible by both 2 and 3 Divisibility rule of 3: A number is divisible by 3 if the sum of the digits is divisible by 3 We need to make this number even in order for it to be div... | E | calc |
aqua_rat__lCLWVz7UeXqADKZu | How many consonants are present between the first and fourth vowel in the sequence of English alphabet ? Choose the correct choice from the following.
A) 12 B) 13 C) 11 D) 10 E) None of these | Explanation: Ref : A B C D E F G H I J K L M N O P Q R S T U V W X Y Z The first and fourth vowels are A and O respectively. There are 13 letters between A and O; out of which 'E' and 'I' are vowels. Thus, there are 11 consonants between A and O. ANSWER 11
<result>C</result> | C | calc |
aqua_rat__N9GKNiMVEWpr1iBg | In an exam, Amar scored 84 percent, Bhavan scored 36 percent and Chetan 44 percent. The maximum score awarded in the exam is 800. Find the average mark scored by all the three boys?
Choose the correct answer
A) 437.33
B) 457.33
C) 537.33
D) 637.33
E) 497.33 | 437.33verage mark scored by all the three boys = [84/100 (800) + 36/100 (800) + 44/100 (800)] / 3 = 437.33 437.33NSWER:437.33
<result>A</result> | A | calc |
ape210k__00266344 | Fill in appropriate numbers in □ so that the seven-digit number □7358□□ is divisible by 25 and 36 respectively. | <result>4_735_800</result> | 4_735_800 | calc |
aqua_rat__fXoL1swwznH3IzAz | Out of 15 students studying in a class, 7 are from Maharashtra, 5 are from Karnataka and 3 are from Goa. Four students are to be selected at random. What are the chances that at least one is from Karnataka? Choose the correct option.
A) 12⁄13
B) 11⁄13
C) 10⁄15
D) 1⁄15
E) None of these | Total possible ways of selecting 4 students out of 15 students = 15C4 = 15×14×13×12 /1×2×3×4=1365 The no. of ways of selecting 4 students in which no student belongs to Karnataka = 10C4 ∴ Hence no. of ways of selecting at least one student from Karnataka = 15C4 – 10C4 = 1155 ∴ Probability = 1155⁄1365 = 77⁄91 = 11... | B | calc |
ape210k__00317053 | Xiaoyue bought 3 catties of fruit candy, 1 catty of peanut candy and 2 catties of milk candy in the mall. It is known that fruit candy is 8 yuan per catty, peanut candy is 7 yuan per catty, and milk candy is 10 yuan per catty. Question: How much is the candy Xiaoyue bought on average per catty? | <gadget id="calculator">8 * 3</gadget>
<output>24</output>
<gadget id="calculator">7 * 1</gadget>
<output>7</output>
<gadget id="calculator">10 * 2</gadget>
<output>20</output>
<gadget id="calculator">24 + 7 + 20</gadget>
<output>51</output>
<gadget id="calculator">3 + 1 + 2</gadget>
<output>6</output>
<gadget id=... | 17/2 | calc |
math_qa__lnDHSedmNPEK8D2F | The amount of principal Rs.8000 at compound interest at the ratio of 5% p.a. for 1 year is Pick one: A) s . 9621 B) s . 6921 C) s . 8400 D) s . 6261 E) s . 6361 | <gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">1 + (1/20)</gadget>
<output>21/20 = around 1.05</output>
<gadget id="calculator">(21/20) ** 1</gadget>
<output>21/20 = around 1.05</output>
<gadget id="calculator">8_000 * (21/20)</gadget>
<output>8_400</output>
<re... | C | calc |
ape210k__00237785 | Add operation symbols or parentheses to the four numbers in 2.2.4.8, so that the result is 24. How many different addition methods are there at most? | <result>6</result> | 6 | calc |
aqua_rat__e18DUXkQOnL7OTNB | On the first day of her vacation, Louisa traveled 160 miles. On the second day, traveling at the same average speed, she traveled 280 miles. If the 160-mile trip took 3 hours less than the 280-mile trip, what was the average speed, in miles per hour? Select:
A) 40 B) 45 C) 46 D) 48 E) 50 | (time)*(rate) = (distance)-->(rate) = (distance)/(time)--> given:(rate) = 160/t =280/(t+3)-->4/t = 7/(t+3)-->4t+12=7t ---->3t= 12 . t= 4 ---->(rate ) = 160/4=
<gadget id="calculator">160/4</gadget>
<output>40</output>
40 40nswer: 40
<result>A</result> | A | calc |
aqua_rat__3SZA5wimt3ia5WkB | A sum was put at simple interest at a certain rate for 4 years Had it been put at 2% higher rate, it would have fetched 56 more. Find the sum. Choose the correct choice from the following answers
A) 500 B) 600 C) 700 D) 800 E) None of these | Difference in S.I. = P×T/100(R1−R2) ⇒ 56 = P×4×2/100(∵ R1 - R2 = 2) ⇒ P = 56×100/4×2=700 Answer 700
<result>C</result> | C | calc |
aqua_rat__uusQeRZQ9Ba7jJ8K | In the Mundane Goblet competition, 6 teams compete in a “round robin” format: that is, each team plays every other team exactly once. A team gets 3 points for a win, 1 point for a tie (a draw), and 0 points for a loss. What is the difference between the maximum total points and the minimum total points that can be gain... | No O15 yet: my method: max points: 15 B C D E F 15 12 9 6 3 0 = 45POINTS min points 15 B C D E F 5 5 5 5 5 5 = 30 45-30=
<gadget id="calculator">45-30</gadget>
<output>15</output>
15 points====> (15)15NS
<result>A</result> | A | calc |
aqua_rat__vPVaJ2neP3Y9vJBC | The angle of elevation of the sun, when the length of the shadow of a tree 3 times the height of the tree, is: Choose the correct choice from the following answers.
A) 30º B) 45º C) 60º D) 90º E) 80º | shadow of the tree is √3 times the height of the tree. shadow of a tree will be = √3x. tan θ = AB/AC = x/√3x. tan θ =1/√3. tan θ = tan 1/√3. tan θ = tan30°. θ = 30° 30ºNSWER : 30º
<result>A</result> | A | calc |
aqua_rat__noYxvuy89kzPMmC0 | A fruit vendor purchased 20 dozens of bananas at Rs. 15 per dozen. But one-fourth of the bananas were rotten and had to be thrown away. He sold two-third of the remaining bananas at Rs. 22.50 per dozen. At what price per dozen should he sell the remaining bananas to make neither a profit nor a loss? Choose the correct... | CP of 20 dozen of bananas = 15 * 20 = Rs. 300 Number of bananas which are rotten = 1/4 * 20=
<gadget id="calculator">1/4 * 20</gadget>
<output>5</output>
5 dozen. SP of two-third of remaining bananas= (2/3 * 15) * 22.5 = Rs. 225 SP of remaining 5 dozens of bananas to make no profit and no loss =(300 - 225) = Rs.... | B | calc |
aqua_rat__ZcIhbOTCl1iztcyh | From the sale of sleeping bags, a retailer made a gross profit of 13% of the wholesale cost. If each sleeping bag was sold for $28, what was the wholesale cost per bag? Pick one:
A) 3.0 B) 3.36 C) 24.78 D) 25.0 E) 31.36 | Cost price * 1.13 = Selling price --> Cost price * 1.13 = $28 --> Cost price = $24.78. Answer: 24.78.
<result>C</result> | C | calc |
ape210k__00617142 | The original price of a commodity is 900 yuan, and now it is sold at a 35% discount. What is the price? | <gadget id="calculator">65 / 100</gadget>
<output>13/20 = around 0.65</output>
<gadget id="calculator">900 * (13/20)</gadget>
<output>585</output>
<result>585</result> | 585 | calc |
aqua_rat__35Lx0fQnTDOo0IvE | An accurate clock shows 8 o'clock in the morning. Through how may degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?
Choose one
A) 180° B) 154° C) 160° D) 170° E) 150° | We know that angle traced by hour hand in 12 hrs = 360° From 8 to 2, there are 6 hours. 180°ngle traced by the hour hand in 6 hours = 6×36012=180° 180°nswer is 180°.
<result>A</result> | A | calc |
ape210k__00884205 | A car travels at a speed of 60 km/h, and the distance between A and B is 180 km. How long does it take to drive from A to B? | <gadget id="calculator">180 / 60</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
aqua_rat__V0YdwgkT82TwnO7M | Worker A takes 12 hours to do a job. Worker B takes 15 hours to do the same job. How long it take both A & B, working together but independently, to do the same job? Select.
A) 40 days B) 40/9 days C) 39/9 days D) 30/9 days E) 20/3 days | A's one hour work = 1/12. B's one hour work = 1/15. (A+B)'s one hour work = 1/12+1/15 = 9/60 = 3/20. Both A & B can finish the work in 20/3 days 20/3 days
<result>E</result> | E | calc |
ape210k__00326757 | During the festival, colorful flags should be placed on the 120-meter-long tower, with one side every 5 meters. Both ends must be inserted, how many sides should be inserted in total. | <gadget id="calculator">120 / 5</gadget>
<output>24</output>
<gadget id="calculator">24 + 1</gadget>
<output>25</output>
<result>25</result> | 25 | calc |
ape210k__01180949 | It is known that the sum of the radii of the two circles is 6 cm, and the circumference of the larger circle is 25.12 cm. What is the area of the smaller circle? | <gadget id="calculator">25.12 / 3.14 / 2</gadget>
<output>4</output>
<gadget id="calculator">6 - 4</gadget>
<output>2</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">3.14 * 4</gadget>
<output>12.56</output>
<result>12.56</result> | 12.56 | calc |
aqua_rat__2LTA1ewcrQrXHf1a | A completes a work in 10 days and B complete the same work in 12 days. If both of them work together, then the number of days required to complete the work will be
Choose the correct choice from the following answers:
A) 6.8 days
B) 9 days
C) 10 days
D) 12 days
E) 13 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 Therefore, here, the required number of days = 10 × 12/ 22 = 6.8 days. 6.8 days
<result>A</result> | A | calc |
ape210k__00416000 | A rectangular table top is 1.5 meters long and 1.8 meters wide, what is its area? | <gadget id="calculator">1.5 * 1.8</gadget>
<output>2.7</output>
<result>2.7</result> | 2.7 | calc |
aqua_rat__9bwI9IwlgJYKc9wB | There are 30 girls in hostel whose average age is decreased by 2 months, when one girl 18 yrs is replaced by a new boy.Find the age of new girl. Choose the correct choice from the following:
A) 1 year
B) 1 year 2 months
C) 2 years 5 months
D) 5 years
E) None | Total decrease =30 * 2=
<gadget id="calculator">30 * 2</gadget>
<output>60</output>
60 month= 5 years 5 years
<result>D</result> | D | calc |
ape210k__00610258 | A piece of rectangular cardboard with a length of 50 cm and a width of 40 cm, cut off its four corners into a square with a side length of 10 cm, and then make a box without a lid. What is its volume in liters? | <gadget id="calculator">10 * 2</gadget>
<output>20</output>
<gadget id="calculator">50 - 20</gadget>
<output>30</output>
<gadget id="calculator">40 - 20</gadget>
<output>20</output>
<gadget id="calculator">10 / 1_000</gadget>
<output>1/100 = around 0.01</output>
<gadget id="calculator">30 * 20 * (1/100)</gadget>
<o... | 6 | calc |
ape210k__00944839 | Sanxin Primary School planted 90 trees, of which (2/5) were planted by the sixth grade, and (1/3) were planted by the fifth grade. How many trees did the two grades plant in total? (Comprehensive formula must be listed) | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(2/5) + (1/3)</gadget>
<output>11/15 = around 0.733333</output>
<gadget id="calculator">90 * (11/15)</gadget>
<output>66</output>
<result>66<... | 66 | calc |
math_qa__JUy8BnRwucCjlsXR | A volunteer organization is recruiting new members. In the fall they manage to increase their number by 7%. By the spring however membership falls by 19%. What is the total change in percentage from fall to spring? Choose the correct choice from the following answers:
A) 16.16 % B) 15.55 % C) 14.44 % D) 13.33 % E) ... | <gadget id="calculator">7 / 100</gadget>
<output>7/100 = around 0.07</output>
<gadget id="calculator">1 + (7/100)</gadget>
<output>107/100 = around 1.07</output>
<gadget id="calculator">19 / 100</gadget>
<output>19/100 = around 0.19</output>
<gadget id="calculator">1 - (19/100)</gadget>
<output>81/100 = around 0.81<... | D | calc |
ape210k__00356595 | It is known that a 60-watt lamp consumes (3/5) kWh per hour. There is a 50-watt lamp in a reception room, and there are no other electrical appliances. The power consumption of the reception room in December is 60 How many hours have you used the light in the reception room? | <gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">(3/5) / 60</gadget>
<output>1/100 = around 0.01</output>
<gadget id="calculator">(1/100) * 50</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">60 / (1/2)</gadget>
<output>120</output>
<result>120</resu... | 120 | calc |
aqua_rat__NbfbKwJWga4qS30a | If a, b, c are consecutive positive integers and a<b<c, which of the following must be true?
I. c-a=2
II. -abc is positive integer
III. (a+b+c)/3 is an integer Choose the correct choice from the following options:
A) I & III only B) II C) I and II D) II and III E) I, II and III | If a, b, c are consequitive positive integers and a<b<c, which of the following must be true? 1. c-a=2 2. abc is an even integer 3. (a+b+c) /3 is an integer 1. a=a b=a+1 c=a+2 c-a=a+2-a=2. Correct 2. -abc is positive integer. positive * negative = negative False. 3. (a+b+c) /3 is an inte... | A | calc |
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