id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
aqua_rat__CfqN4JpQNaxTiLKe | By selling an article at Rs.500, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 25%? Answers.
A) s.600 B) s.480 C) s.300 D) s.450 E) s.550 | SP = 500 Profit = 25% s.300P = (SP)*[100/(100+P)] = 500 * [100/125] = 400 Loss 500 * 100/125=
<gadget id="calculator">500 * 100/125</gadget>
<output>400</output>
400 Loss= 25% = 25% of 400 = Rs.100 SP = s.300P - Loss = 400 - 100 = Rs.300 ANSWER:s.300
<result>C</result> | C | calc |
ape210k__00022636 | Two cars drive from two places 250 kilometers apart at the same time. After 2.5 hours, the distance is still 25 kilometers. Car A travels 48 kilometers per hour. How many kilometers per hour does car B travel? | <gadget id="calculator">250 - 25</gadget>
<output>225</output>
<gadget id="calculator">225 / 2.5</gadget>
<output>90</output>
<gadget id="calculator">90 - 48</gadget>
<output>42</output>
<result>42</result> | 42 | calc |
aqua_rat__K7IgbhRc4CPSlIOU | A family consists of two grandparents, two parents and three grandchildren. The average age of the grandparents is 65 years, that of the parents is 45 years and that of the grandchildren is 8 years. What is the average age of family? Choices
A) 6/7years B) B)31 C) C)30 D) D)33 E) E)35 | Required average = (65 x 2 + 45 x 2 + 8 x 3 )/(2 + 2 + 3) = (130 + 90 + 24)/7 =244/7 = 34 6/7years. 6/7yearsnswer is 6/7years
<result>A</result> | A | calc |
ape210k__00760875 | Zhang Li deposits 1,000 yuan in the bank for a fixed period of one year, with an annual interest rate of 3.25%. After the maturity, she will get the total amount of principal and interest. | <gadget id="calculator">3.25 / 100</gadget>
<output>0.0325</output>
<gadget id="calculator">1_000 * 0.0325 * 1</gadget>
<output>32.5</output>
<gadget id="calculator">1_000 + 32.5</gadget>
<output>1_032.5</output>
<result>1_032.5</result> | 1_032.5 | calc |
aqua_rat__1LAKSflL8K7qyF0R | If 20% of a number = 1000, then 120% of that number will be? Choose the correct choice from the following
A) 20 B) 120 C) 360 D) 6000 E) 820 | Let the number x. Then, 20% of x = 1000 x = (1000 * 100)/20=
<gadget id="calculator">(1000 * 100)/20</gadget>
<output>5_000</output>
5000 120% of x= (120/100 * 5000)=
<gadget id="calculator">(120/100 * 5000)</gadget>
<output>6_000</output>
6000. ANSWER:6000
<result>D</result> | D | calc |
math_qa__mpXYbw870e9Z4wE8 | If 36 men can do a piece of work in 25 hours, in how many hours will 12 men do it?
Choices
A) 22 B) 38 C) 60 D) 88 E) 75 | <gadget id="calculator">36 * 25</gadget>
<output>900</output>
<gadget id="calculator">900 / 12</gadget>
<output>75</output>
<result>E</result> | E | calc |
ape210k__00166249 | A monkey was playing on a tree, and suddenly saw a moon in the water, so it found a rope and was going to catch the moon. It folds the rope in half and then in half, and finally twists it into a 6-meter-long rope, which just reaches the water surface. How long is this rope originally? | <gadget id="calculator">6 * 4</gadget>
<output>24</output>
<result>24</result> | 24 | calc |
aqua_rat__seCQnnudNR1cKcql | Two vessels contains equal number of mixtures milk and water in the ratio 5:3 and 6:2. Both the mixtures are now mixed thoroughly. Find the ratio of milk to water in the new mixture so obtained? Choose the correct option:
A) 11:5 B) 9:13 C) 5:11 D) 11:3 E) 15:4 | The ratio of milk and water in the new vessel is = (5/8 + 6/8) : (3/8 + 2/8) = 11/8 : 5/8 = 11:5 11:5nswer is 11:5
<result>A</result> | A | calc |
ape210k__00234758 | (1/4) of a number is 10 less than its (1/2), what is the number? | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/2) - (1/4)</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">10 / (1/4)</gadget>
<output>40</output>
<result>40</result> | 40 | calc |
aqua_rat__A7DNp3CdEhJYO9Zd | A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for Rs.75 less, he could have gained 25%. What is the cost price? Choose the correct choice from the following answers: A) 250 B) 882 C) 772 D) 512 E) 211 | CP1 = 100 SP1 = 90 CP2 = 80 SP2 = 80 * (140/100)=
<gadget id="calculator">80 * (140/100)</gadget>
<output>112</output>
112 22 ----- 100 55 ----- ?=> Rs.250 250nswer: 250
<result>A</result> | A | calc |
ape210k__00045217 | One key can only open one lock. Now there are 4 keys and 4 locks, but I don’t know which key can open which lock. Now all 4 locks are locked, and they can be opened as many times as possible. | <gadget id="calculator">4 + 3 + 2 + 1</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__00616588 | The outer radius of a ring is 8cm, the inner radius is (3/4) of the outer radius, what is the area of the ring in cm**2. | <gadget id="calculator">8 ** 2</gadget>
<output>64</output>
<gadget id="calculator">3.14 * 64</gadget>
<output>200.96</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">8 * (3/4)</gadget>
<output>6</output>
<gadget id="calculator">6 ** 2</gadget>
<output>36</o... | 87.92 | calc |
ape210k__00466860 | There are 30 students from Class 1 of Grade 6 of Chaoyang Primary School participated in the calligraphy interest group, which is less than the number of students in Grade 5 (3/5). How many people in Grade 5 participated in the interest group of Calligraphy? | <gadget id="calculator">3 / 5</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">30 / (2/5)</gadget>
<output>75</output>
<result>75</result> | 75 | calc |
ape210k__00342677 | Xiaoxia and Xiaoyue put together a puzzle each, and they started to put together at the same time. Xiaoxia put together a piece every 2 minutes on average, and finished the last piece at 16:24. Xiaoyue put together a piece every 3 minutes, and finished the last piece at 17:36. One piece, the first piece you started to ... | <result>14</result> | 14 | calc |
aqua_rat__dCp1224n2TjxPs1M | A small pool filled only with water will require an additional 300 gallons of water in order to be filled to 75% of its capacity. If pumping in these additional 300 gallons of water will increase the amount of water in the pool by 30%, what is the total capacity of the pool in gallons? Select: A) 1000 B) 1250 C) 1733.... | 300 gallons of water increases capacity by 30% that means 30% is 300 gallons, so 100% would be = 300*100/30=
<gadget id="calculator">300*100/30</gadget>
<output>1_000</output>
1000 gallons Now 1000 +300 gallons is 75% capacity of tank. so 100% capacity would be= 1300 *100/75= 1733.33 1733.33 is the answer
<res... | C | calc |
ape210k__00742443 | Move the decimal point two places to the left and one place to the right to get 23.45. | <gadget id="calculator">23.45 / 10</gadget>
<output>2.345</output>
<gadget id="calculator">2.345 * 100</gadget>
<output>234.5</output>
<result>234.5</result> | 234.5 | calc |
aqua_rat__6Lh7bMkRUTvWTgFA | When the number 209y913 is exactly divisible by 11, then the smallest whole number that can replace y?
Options.
A) 0 B) 1 C) 2 D) 5 E) 9 | The given number =209y913 Sum of the odd places =3+9+9+2=
<gadget id="calculator">3+9+9+2</gadget>
<output>23</output>
23 Sum of the even places= 1+y+0 (Sum of the odd places)- (Sum of even places) = Number (exactly divisible by 11) 23-(1+y) = divisible by 11 22 � y = divisible by 11. Y must be 0, to make ... | A | calc |
ape210k__00008885 | 188 sixth-grade students went to the movies, and 12 did not. what is the absence rate | <gadget id="calculator">188 + 12</gadget>
<output>200</output>
<gadget id="calculator">12 / 200</gadget>
<output>3/50 = around 0.06</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(3/50) * 1</gadget>
<output>3/50 = around 0.06</output>
<result>3/50 = around 0.06</resul... | 3/50 | calc |
aqua_rat__52kukkKCzyRkFqxa | Write 870,000,000,000 in scientific notation. Select
A) 8.7 * 10^11 B) 800.900 * 10^11 C) 8.900 * 10^11 D) 80.9000* 10^11 E) 08.900 * 10^11 | a * 10 n , where a is a real number such that 1 * |a| < 10 and n is an integer. 870,000,000,000 = 8.7* 100,000,000,000 = 8.7 * 10 11** correct answer 8.7 * 10^11
<result>A</result> | A | calc |
aqua_rat__maEneMvzOick8PhZ | A boy can reach a certain place in 45 hours. If he reduces his speed by 1/30th, he goes 3 km less in that time. Find his speed. Answers: A) 2 km/hr. B) 6 km/hr C) 8 km/hr D) 14 km/hr E) None of these | Explanation : Solution: Let the speed be x km/hr. then, 45x - (45 * 29x/30) = 3 => 3/2X =3 X=2 2 km/hr.
<result>A</result> | A | calc |
ape210k__00623867 | A ring has an outer diameter of 5 decimeters and a width of 1 decimeter. What is the area of the ring? | <gadget id="calculator">5 / 2</gadget>
<output>5/2 = around 2.5</output>
<gadget id="calculator">(5/2) ** 2</gadget>
<output>25/4 = around 6.25</output>
<gadget id="calculator">3.14 * (25/4)</gadget>
<output>19.625</output>
<gadget id="calculator">(5/2) - 1</gadget>
<output>3/2 = around 1.5</output>
<gadget id="cal... | 12.56 | calc |
ape210k__00045446 | In a proportional formula, the two outer terms are the smallest prime number and the smallest composite number, one inner term is 3.2, and the other inner term is what. | <gadget id="calculator">4 / 3.2</gadget>
<output>1.25</output>
<gadget id="calculator">2 * 1.25</gadget>
<output>2.5</output>
<result>2.5</result> | 2.5 | calc |
aqua_rat__SPnFteD0PcgakSaU | The average of first five multiples of 8 is : Answers
A) 3 B) 9 C) 12 D) 15 E) 24 | Solution Average = 8(1+2+3+4+5)/5 =120/5=
<gadget id="calculator">120/5</gadget>
<output>24</output>
24 Answer 24
<result>E</result> | E | calc |
ape210k__00326395 | If it takes 2 minutes to saw a piece of wood into two pieces, how many minutes will it take to saw it into 8 pieces? | <gadget id="calculator">2 - 1</gadget>
<output>1</output>
<gadget id="calculator">2 / 1</gadget>
<output>2</output>
<gadget id="calculator">8 - 1</gadget>
<output>7</output>
<gadget id="calculator">2 * 7</gadget>
<output>14</output>
<result>14</result> | 14 | calc |
math_qa__O4naMevkTrVh7yi2 | If 1/2 of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 6 strokes ? Choices
A) 63 / 64 B) 7 / 8 C) 1 / 4 D) 1 / 8 E) 1 / 16 | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) / 2</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/2) + (1/4)</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(1/4) / 2</gadget>
<output>1/8 = around 0.125</output>
<gad... | A | calc |
ape210k__00047782 | The fraction equal to (7/8) is. How many | <gadget id="calculator">7 / 8</gadget>
<output>7/8 = around 0.875</output>
<result>7/8 = around 0.875</result> | 7/8 | calc |
ape210k__01016613 | Using four pieces of paper with 1, 3, 0, 7 written on it, how many different four-digit numbers can be produced. | <gadget id="calculator">3 * 3 * 2 * 1</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
math_qa__0IZrJ6TV68jeznMH | 150 ml of 30% sulphuric acid was added to approximate 400 ml of 12% sulphuric acid solution. Find the approximate concentration W of the acid in the mixture?
Choose the correct choice from the following:
A) 1 / 2 B) 1 / 3 C) 1 / 4 D) 1 / 6 E) 1 / 5 | <gadget id="calculator">150 * 30</gadget>
<output>4_500</output>
<gadget id="calculator">4_500 / 100</gadget>
<output>45</output>
<gadget id="calculator">400 * 12</gadget>
<output>4_800</output>
<gadget id="calculator">4_800 / 100</gadget>
<output>48</output>
<gadget id="calculator">45 + 48</gadget>
<output>93</out... | D | calc |
ape210k__00531497 | The paper mill completed 75% of the annual plan in the first seven months of last year, and produced 1,600 tons in the last five months, which just completed the task. If it is to exceed 10% of the annual plan, how many tons will it need to produce? | <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">1_600 / (1/4)</gadget>
<output>6_400</output>
<gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="ca... | 640 | calc |
math_qa__8BhVcL1UOaUKZdMM | An outlet pipe can empty 3/4 of a cistern in 12 minutes. In 4 minutes, what part of the cistern will be emptied? Choices.
A) 1 / 2 B) 1 / 3 C) 1 / 4 D) 1 / 5 E) 1 / 6 | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">4 * (3/4)</gadget>
<output>3</output>
<gadget id="calculator">3 / 12</gadget>
<output>1/4 = around 0.25</output>
<result>C</result> | C | calc |
aqua_rat__a61tIrY06Z4Tox66 | At a certain supplier, a machine of type A costs $22,000 and a machine of type B costs $50,000. Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time. If the finance charges are equal to 40 percent of the remainder of the c... | Total Cost of 2 Machines of Type $7,920 = 20% of (Cost of 2 machine $7,920) + remainder + 40 % remainder = 20% of 44000 + (44000 - 20% of 44000) + 40% of (44000 - 20% of 44000) = 58080 Total Cost of 1 Machine of Type B = 20% of (Cost of 1 machine B) + remainder + 40 % remainder = 20% of 50000 + (50000 - 20%... | A | calc |
ape210k__01107573 | There are 283 girls in the school, and there are 36 more boys than girls. How many students are there in the school? | <gadget id="calculator">283 + 36 + 283</gadget>
<output>602</output>
<result>602</result> | 602 | calc |
aqua_rat__NGBxWGTK1xKZGjez | What is the probability of flipping a fair coin three times and the coin landing on heads on all three flips? Choose the correct option:
A) 3/8 B) 5/8 C) 7/8 D) 1/8 E) 1/4 | Probability = (Favorable combination)/(Total combination) Favorable combination = (HHH) ==> 1 Total combination = 8 (2^3) Probability = (1)/(8) (1/8)
<result>D</result> | D | calc |
aqua_rat__l3TgFX32TpdemQfR | A jar contains 9 marbles consisting of an equal number of red, green, and blue marbles. Three marbles are removed from the jar and discarded. What is the probability that only two colors will remain in the jar after the Three marbles have been removed?
Pick
A) 1/49 B) 1/16 C) 1/28 D) 1/3 E) 1/2 | Jar contains {3-red, 3-green, 3-blue} marbles. We are asked to find the probability that after removing 3 marbles only 2 colours remain in the jar, i.e., the probability of removing EITHER red, OR green, OR blue. Sample space = 9C3 = 84. Probability of choosing 3 red = 3C3/9C3 = 1/84. Probability of choosing 3 gr... | C | calc |
ape210k__00020562 | In a pile of steel pipes, there are 10 steel pipes in the top layer and 26 steel pipes in the bottom layer, and there is always one more steel pipe in the lower layer than the upper layer. How many steel pipes are there in this pile? | <gadget id="calculator">26 + 10</gadget>
<output>36</output>
<gadget id="calculator">26 - 10</gadget>
<output>16</output>
<gadget id="calculator">16 + 1</gadget>
<output>17</output>
<gadget id="calculator">17 / 2</gadget>
<output>17/2 = around 8.5</output>
<gadget id="calculator">36 * (17/2)</gadget>
<output>306</o... | 306 | calc |
ape210k__00401991 | The side length of a square is 9 cm, and its perimeter is equal to the perimeter of another rectangle. If the length of the rectangle is 10 cm, what is the area of the rectangle in square centimeters? | <gadget id="calculator">9 * 4</gadget>
<output>36</output>
<gadget id="calculator">36 / 2</gadget>
<output>18</output>
<gadget id="calculator">18 - 10</gadget>
<output>8</output>
<gadget id="calculator">10 * 8</gadget>
<output>80</output>
<result>80</result> | 80 | calc |
math_qa__nYz64DpvNvUr70sh | A train 200 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 10 km/hr in the direction opposite to that in which the train is going? Choose the correct choice from the following answers: A) 5 B) 6 C) 10 D) 9 E) 5 | <gadget id="calculator">60 + 10</gadget>
<output>70</output>
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">70 * (5/18)</gadget>
<output>175/9 = around 19.444444</output>
<gadget id="calculator">200 / (175/9)</gadget>
<output>72/7 = around 10.285714</output>
... | C | calc |
ape210k__00160695 | 14.8*6.3-6.3*6.5+8.3*3.7=how much. | <gadget id="calculator">14.8 * 6.3</gadget>
<output>93.24</output>
<gadget id="calculator">6.3 * 6.5</gadget>
<output>40.95</output>
<gadget id="calculator">93.24 - 40.95</gadget>
<output>52.29</output>
<gadget id="calculator">8.3 * 3.7</gadget>
<output>30.71</output>
<gadget id="calculator">52.29 + 30.71</gadget>
... | 83 | calc |
ape210k__00540536 | The number A is 48, the greatest common factor of A and B is 12, and the least common multiple is 144, so what is the number B? | <gadget id="calculator">144 / 48</gadget>
<output>3</output>
<gadget id="calculator">3 * 12</gadget>
<output>36</output>
<result>36</result> | 36 | calc |
aqua_rat__1EcpupexnJEgj0aN | In what time will Rs.4000 lent at 3% per annum on simple interest earn as much interest as Rs.5000 will earn in 5 years at 4% per annum on simple interest? Answers:
A) 8 1/3 B) 8 1/9 C) 8 1/6 D) 8 1/2 E) 8 1/1 | (4000*3*R)/100 = (5000*5*4)/100 R = 8 1/3 8 1/3nswer: 8 1/3
<result>A</result> | A | calc |
math_qa__gPkucy6AYefSUlqh | A 40-liter solution of alcohol and water is 5 percent alcohol. If 4.5 liters of alcohol and 5.5 liters of water are added to this solution, what percent of the solution produced is alcohol?
Choose the correct choice from the following answers
A) 7 %
B) 10 %
C) 13 %
D) 16 %
E) 19 % | <gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">40 * (1/20)</gadget>
<output>2</output>
<gadget id="calculator">2 + 4.5</gadget>
<output>6.5</output>
<gadget id="calculator">4.5 + 5.5</gadget>
<output>10</output>
<gadget id="calculator">40 + 10</gadget>
<output>5... | C | calc |
math_qa__HluQItpKdRU8z8N7 | A person walks at a speed of 4 km/hr and runs at a speed of 8 km/hr. How many hours will the person require to cover a distance of 20 km, if the person completes half of the distance by walking and the other half by running? Pick: A) 2.75 B) 3.25 C) 3.75 D) 4.25 E) 4.75 | <gadget id="calculator">20 / 2</gadget>
<output>10</output>
<gadget id="calculator">10 / 4</gadget>
<output>5/2 = around 2.5</output>
<gadget id="calculator">10 / 8</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">(5/2) + (5/4)</gadget>
<output>15/4 = around 3.75</output>
<result>C</result> | C | calc |
ape210k__00226840 | Find the law and fill in the numbers: 1, 2, 4, 7, 11, 16, 22, how much | <gadget id="calculator">22 + 7</gadget>
<output>29</output>
<result>29</result> | 29 | calc |
aqua_rat__GdM5fCNMfwCUuWIW | Company X provides bottled water to its employees in 10 liter bottles, $2 each. At least how many 10L bottles must Company X buy monthly, so that new contract with $50 fixed monthly rate and $1 for 50L bottle each paid off? (Assume that no other costs apply) Answers: A) 28 B) 29 C) 30 D) 31 E) 32 | let the no. of 10 liter bottles be x, so the no. of 50l bottles will be x/5 (to equate the vol.) since the total cost will be equal , 2x= 50+x/5 so x= 27.77 or 28. 28nswer is (28).
<result>A</result> | A | calc |
ape210k__00652009 | 75 peach trees are planted in a circular pond, and a pear tree is planted between every two peach trees. How many pear trees are planted in total? | <gadget id="calculator">1 * 75</gadget>
<output>75</output>
<result>75</result> | 75 | calc |
ape210k__00968903 | After 75% of a barrel of oil is used up, there are still 12 kilograms in the barrel. How many kilograms of original oil is in the barrel? | <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">12 / (1/4)</gadget>
<output>48</output>
<result>48</result> | 48 | calc |
ape210k__00967337 | What is the quotient of 0.225 divided by 1.5 and half of 3.84? | <gadget id="calculator">0.225 / 1.5</gadget>
<output>0.15</output>
<gadget id="calculator">3.84 / 2</gadget>
<output>1.92</output>
<gadget id="calculator">0.15 + 1.92</gadget>
<output>2.07</output>
<result>2.07</result> | 2.07 | calc |
aqua_rat__q7x9bHIAkdufNYaP | The greater of two numbers is twice the less, and the sum of the numbers is 96. What are the numbers? Pick one.
A) 64 B) 68 C) 70 D) 79 E) 80 | Let x = the less number 2x = the greater number The sum of the numbers is 96 x+2x=96 3x=96 x=32 2x=64 Option 64
<result>A</result> | A | calc |
ape210k__01213681 | Mr. Li deposits 50,000 yuan in the bank for two years, and gets back a total of 52,500 yuan of principal and interest when it matures. What is the annual interest rate of his deposit? | <gadget id="calculator">5 * 10_000</gadget>
<output>50_000</output>
<gadget id="calculator">52_500 - 50_000</gadget>
<output>2_500</output>
<gadget id="calculator">2_500 / 50_000 / 2</gadget>
<output>1/40 = around 0.025</output>
<result>1/40 = around 0.025</result> | 1/40 | calc |
math_qa__LCKNljMdJizoDzhO | A, B and C completed a piece of work, A worked for 16 days, B for 9 days and C for 4 days. Their daily wages were in the ratio of 3:4:5. Find the daily wages of C, if their total earning was Rs.1480? Choices:
A) rs . 80 B) rs . 120 C) rs . 71.15 D) rs . 51.15 E) rs . 180 | <gadget id="calculator">16 * 3</gadget>
<output>48</output>
<gadget id="calculator">9 * 4</gadget>
<output>36</output>
<gadget id="calculator">48 + 36</gadget>
<output>84</output>
<gadget id="calculator">4 * 5</gadget>
<output>20</output>
<gadget id="calculator">84 + 20</gadget>
<output>104</output>
<gadget id="ca... | C | calc |
aqua_rat__uFjYBMU3rVzuGBaG | Two kinds of Vodka are mixed in the ratio 1:2 and 2:1 and they are sold fetching the profit 25% and 20% respectively. If the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4/3 and 5/3 times respectively, then the mixture will fetch the profit of Choose the correct choice fro... | Answer: 25%.
<result>D</result> | D | calc |
aqua_rat__CJuqqfo4ge8wlVch | If each day a tree loses half its remaining leaves, what fraction of its leaves will it have lost after 7 days ?
Choose the correct choice:
A) X-1/8
B) X-1/32
C) X-1/64
D) X-1/128
E) X-1/164 | LET NO OF LEAVES IX X ..IST DAY X/2 ..2ND DAY X/4 ..3RD DAY X/8 , FOURTH DAY X/16 , 5TH DAY X/32 , 6TH DAY X/64 SO ON SO FOURTH. FINALLY ON LEAVE WILL BE LEFT ..SO ON 3RX-1/128 X-1/128AY LEAVE LOST IS X-1/128 ANSWER X-1/128
<result>D</result> | D | calc |
ape210k__00215515 | When subtracting 2368 from a number, Xiao Ming mistakenly swapped the numbers in the hundreds and tens digits to be subtracted, and the result is 6278. What is the correct result? | <gadget id="calculator">8_466 - 2_368</gadget>
<output>6_098</output>
<result>6_098</result> | 6_098 | calc |
ape210k__00299022 | 306*15-2080． | <gadget id="calculator">306 * 15</gadget>
<output>4_590</output>
<gadget id="calculator">4_590 - 2_080</gadget>
<output>2_510</output>
<result>2_510</result> | 2_510 | calc |
aqua_rat__s9Ljcj6SrzsFqEjF | There are 8 executives, including the CEO and CFO, that are asked to form a small team of 4 members. However, the CEO and CFO may not both be assigned to the team. Given this constraint, how many ways are there to form the team?
Choose the correct choice from the following choices:
A) 45 B) 55 C) 65 D) 75 E) 85 | The total number of ways to form a team of 4 is 8C4=70. We need to subtract the number of teams that have both the CEO and the CFO. The number of teams with both the CEO and CFO is 6C2=15. The number of ways to form an acceptable team is 70-15=
<gadget id="calculator"> 70-15</gadget>
<output>55</output>
55. T... | B | calc |
ape210k__00508787 | The numerator and denominator of a simplest proper fraction are both composite numbers, and their least common multiple is 72. The simplest true fraction is ((())/(())). | <gadget id="calculator">8 / 9</gadget>
<output>8/9 = around 0.888889</output>
<result>8/9 = around 0.888889</result> | 8/9 | calc |
ape210k__00092349 | The physical fitness test of a class of sixth grade students is divided into two grades: "passed" and "failed". Among them, 45 students are qualified and 5 are unqualified. What is the passing rate of this test? | <gadget id="calculator">45 + 5</gadget>
<output>50</output>
<gadget id="calculator">45 / 50</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(9/10) * 1</gadget>
<output>9/10 = around 0.9</output>
<result>9/10 = around 0.9</result> | 9/10 | calc |
ape210k__00048101 | The physical education teacher took the students to play a relay game. Xiaohui ran 300 meters, Xiaoxin ran Xiaohui's (9/10), Xiaojun ran Xiaoxin's (2/3), and the three students ran together. How much rice? | <gadget id="calculator">9 / 10</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">300 * (9/10)</gadget>
<output>270</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">300 * (9/10) * (2/3)</gadget>
<output>180</output>
<gadget id="calculato... | 750 | calc |
aqua_rat__SvsjiagSaiTHGGvd | The smallest number which when diminished by 7, is divisible by 12, 16, 18, 21 and 28 is Select the correct option.
A) 1008 B) 1015 C) 1022 D) 1032 E) 1043 | Required Number = (L.C.M of 12, 16, 18,21,28)+7 = 1008 + 7=
<gadget id="calculator">1008 + 7</gadget>
<output>1_015</output>
1015 Answer: 1015
<result>B</result> | B | calc |
aqua_rat__DiDgw1F7lZysadKF | A room is 10 meters long, 8 meters wide 6 meters in height. The longest possible rod which can be placed in the room is
Choose the correct choice from the following answers
A) 13.12 meters B) 13.92 meters C) 13.52 meters D) 13.72 meters E) 14.14 meters | Square root of 10^2+8^2+6^2...(Diognal) which is square root of 200 that lies 14<√200<15. Hence the answer should be 14.14 meters
<result>E</result> | E | calc |
aqua_rat__MQPaMqGMfaQxMntc | Sid obtained 76, 65, 82, 67 and 80 marks (out of 100) in English, Mathematics, Physics, Chemistry and Biology. What are his average marks? Options
A) A)87 B) B)99 C) C)68 D) D)82 E) E)74 | Average = (76 + 65 + 82 + 67 + 80)/5 = 370/5=
<gadget id="calculator">370/5</gadget>
<output>74</output>
74. Answer:74
<result>E</result> | E | calc |
aqua_rat__iTddokVA5xAtQ6s6 | In how many ways can a supermarket manager display 5 brands of cereals in 3 spaces on a shelf? Choose the correct choice from the following answers
A) 120
B) 30
C) 60
D) 40
E) 20 | This is asking for the number of permutations, since we don't want repetitions. The number of ways is: 5P3 = 60 Ans- 60
<result>C</result> | C | calc |
ape210k__00688201 | There are 20 stone benches beside the road around the lake in the park, and the distance between adjacent stone benches is 36 meters. Now replace the stone benches with wooden chairs, so that the distance between adjacent wooden chairs is 24 meters, how many wooden chairs should be prepared in total? | <gadget id="calculator">36 / 24</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">20 * (3/2)</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
ape210k__00392403 | There are 8 rows of peach trees in the orchard, and each row has 14 trees. After removing some, there are still 82 trees. How many trees were removed? | <gadget id="calculator">8 * 14</gadget>
<output>112</output>
<gadget id="calculator">112 - 82</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
aqua_rat__YQc9vu5O9FBN4AUc | In a race of 300 m A beats B by 15 m and C by 9 m. In a race of 450 m C will beat B by
Choices: A) 381 m B) 429 m C) 441 m D) 439 m E) 449 m | A:B=300:285 (Bcoz A beats b by 15 m) B:441 m=300:291 (Bcoz A beats 441 m by 9 m) 441 m:B=291:285 (It means 441 m beats by B 6 m in race of 291m) then 441 m beats by B in race of 450 m = (6/291)*450=9m so, 450-9=441m ANSWER:441 m
<result>C</result> | C | calc |
ape210k__00517506 | Teacher Li has 2,300 words to type for an article, and he has already typed 1,700 words. If the rest is to be completed in 4 minutes, how many words will be typed per minute on average? | <gadget id="calculator">2_300 - 1_700</gadget>
<output>600</output>
<gadget id="calculator">600 / 4</gadget>
<output>150</output>
<result>150</result> | 150 | calc |
aqua_rat__VG2dpLoRLGghOFNr | How many pairs (e, e+1) have one or more prime factors common, where e is an integer and 2 ≤ e ≤9 ? Choose the correct answer.
A) 0 B) 1 C) 2 D) 3 E) 4 | e and e+1 are consecutive integers. Two consecutive integers are co-prime, which means that they don't share ANY common factor but 1. For example 20 and 21 are consecutive integers, thus only common factor they share is 1. 0nswer: 0.
<result>A</result> | A | calc |
ape210k__00024245 | 918 is how many times 54. | <gadget id="calculator">918 / 54</gadget>
<output>17</output>
<result>17</result> | 17 | calc |
ape210k__00482249 | There is a largest cylinder in the cube, the side area of the cylinder is 2826d㎡, what is the surface area of the cube? | <gadget id="calculator">2_826 / 3.14</gadget>
<output>900</output>
<gadget id="calculator">900 * 6</gadget>
<output>5_400</output>
<result>5_400</result> | 5_400 | calc |
ape210k__00206753 | Xiao Ming has 7 yuan, bought a doll and spent 5.85 yuan, how much money is left | <gadget id="calculator">7 - 5.85</gadget>
<output>1.15</output>
<result>1.15</result> | 1.15 | calc |
ape210k__01046761 | The toy factory has produced 816 colorful glass balls, each of which is packed in a box of 8, how many boxes can be packed? | <gadget id="calculator">816 / 8</gadget>
<output>102</output>
<result>102</result> | 102 | calc |
aqua_rat__STVGHcfMFwPzvu8O | The average of the daily income of A, B and C is Rs . 60 . If B earns Rs . 20 more than C and A earns double of what C earns. What is the daily income of C ? Choose the correct choice from the following answers
A) Rs. 70 B) Rs. 60 C) Rs. 40 D) None of these E) Cannot be determined | Answer Let C's earning = Rs. y. Then, B's earning = Rs. (y + 20) and A's earning = Rs. 2y ∵ 2y + y + 20 + y= 3 x 60 ⇒ 4x = 160 ∴ x = 40 Rs. 40orrect Option: Rs. 40
<result>C</result> | C | calc |
ape210k__00508388 | In the final exam, Wang Wei scored an average of 94 in Chinese, Mathematics, and English. He scored 91 in Chinese and 95 in Mathematics. Calculate how many points he scored in English. | <gadget id="calculator">94 * 3</gadget>
<output>282</output>
<gadget id="calculator">91 + 95</gadget>
<output>186</output>
<gadget id="calculator">282 - 186</gadget>
<output>96</output>
<result>96</result> | 96 | calc |
ape210k__00019682 | Xinglong Electric Store sells DVD players of the same model at a profit of 20% of the purchase price. After selling these appliances, the profit can be 6,000 yuan. Since 10 of the DVD players have some damage on the outside, these 10 DVD players will be sold as 10% off the price, so the total profit is only 96% of the ... | <gadget id="calculator">96 / 100</gadget>
<output>24/25 = around 0.96</output>
<gadget id="calculator">1 - (24/25)</gadget>
<output>1/25 = around 0.04</output>
<gadget id="calculator">(1/25) / 10</gadget>
<output>1/250 = around 0.004</output>
<gadget id="calculator">6_000 * (1/250)</gadget>
<output>24</output>
<gad... | 250 | calc |
math_qa__Btv90ovJn9p3jeUm | Pipe A can fill a tank in 2 hours. Due to a leak at the bottom, it takes 4 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank? Select the correct option
A) 2 B) 5 C) 6 D) 4 E) 1 | <gadget id="calculator">4 * 2</gadget>
<output>8</output>
<gadget id="calculator">4 - 2</gadget>
<output>2</output>
<gadget id="calculator">8 / 2</gadget>
<output>4</output>
<result>D</result> | D | calc |
ape210k__00508781 | It took 15 minutes for a person to climb a mountain. When going down the mountain along the original road, the speed increased (1/4). How many minutes did it take to go down the mountain? | <gadget id="calculator">1 / 15</gadget>
<output>1/15 = around 0.066667</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 + (1/4)</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">(1/15) * (5/4)</gadget>
<output>1/12 = around 0.083333</outpu... | 12 | calc |
aqua_rat__qr3rZ59Vgus3wv6e | Adam's mother is 26 years older than him. Next year, however, she will be 3 times older than her son. How old is Adam's mother?
Choose the correct choice from the following: A) 35 years B) 36 years C) 37 years D) 38 years E) 39 years | At the present Adam is x years old. Adam's mother is y=x+26 years old. Next year Adam will be x+1 years old. Adams mother will be y+1=3 (x+1) years old. If we combine the two equations, y=x+26, and y+1=3 (x+1), then x+26+1=3x+3 2x=27-3 2x=24 x=12 This is Adam's age at the moment. Since his mot... | D | calc |
ape210k__00612976 | What is the correct result after dividing (36/108) | <gadget id="calculator">36 / 108</gadget>
<output>1/3 = around 0.333333</output>
<result>1/3 = around 0.333333</result> | 1/3 | calc |
aqua_rat__jnbj6pGt27TVerPf | y=248-398x Which of the following values of x gives the greatest value of y in the equation above? Options: A) 200 B) 100 C) 0.5 D) 0 E) -1 | Explanation: This is quite simple. Just by looking at the values they are all positive except two. If you enter any of the values instead of x you will get a negative y. By entering 0 you already get to positive=248. But the correct answer is -1 since this equals y=248-(398*(-1))=248+398. This is the greatest value. ... | E | calc |
ape210k__00536161 | A car travels from A to B at an average of 60 kilometers per hour when going there, and at an average of 70 kilometers per hour when returning. What is the average round trip speed of this car in kilometers? | <gadget id="calculator">13 / 42</gadget>
<output>13/42 = around 0.309524</output>
<gadget id="calculator">2 / (13/42)</gadget>
<output>84/13 = around 6.461538</output>
<result>84/13 = around 6.461538</result> | 84/13 | calc |
ape210k__00260020 | A 3 km road is repaired in 7 days, how much of this road is repaired every day | <gadget id="calculator">1 / 7</gadget>
<output>1/7 = around 0.142857</output>
<result>1/7 = around 0.142857</result> | 1/7 | calc |
aqua_rat__ZpGLsc0rVqqOKy2b | A certain culture of bacteria quadruples every hour. If a container with these bacteria was half full at 11:00 a.m., at what time was it one-eighth full? Choose one:
A) 10:00 a.m. B) 7:00 a.m. C) 6:00 a.m. D) 4:00 a.m. E) 2:00 a.m. | To go from one-eighth (1/8) full to half (1/2) full culture of bacteria should quadruple: 1/8*4=1/2, as it quadruples every hour then container was one-eighth full at 11:00 a.m -1 hour = 10:00 a.m. 10:00 a.m.nswer: 10:00 a.m..
<result>A</result> | A | calc |
ape210k__00536395 | cylindrical iron rod with a base area of 30 square centimeters and a length of 50 cm is cast into a conical iron rod with a length of 45 cm. What is the base area of this iron rod? | <gadget id="calculator">3 / 45</gadget>
<output>1/15 = around 0.066667</output>
<gadget id="calculator">30 * 50 * (1/15)</gadget>
<output>100</output>
<result>100</result> | 100 | calc |
aqua_rat__owxlZMLHewMw1UQC | 120 liters of a mixture contains milk and water in the ratio 4:2. If 10 liters of this mixture be replaced by 10 liters of milk, the ratio of milk to water in the new mixture would be? Choose the correct option
A) 8:6 B) 9:3 C) 9:4 D) 9:6 E) 8:2 | Quantity of milk in 120 liters if mix = 120*4/6=
<gadget id="calculator">120*4/6</gadget>
<output>80</output>
80 liters Quantity of milk in 130 liters of new mix= 80+10=
<gadget id="calculator">80+10</gadget>
<output>90</output>
90liters Quantity of water in it= 130-90=
<gadget id="calculator">130-90</gadget>
<o... | C | calc |
ape210k__01150305 | A football field is 100 meters long and 45 meters wide. Xiaoqiang ran two laps along the field. How many meters did he run? | <gadget id="calculator">100 + 45</gadget>
<output>145</output>
<gadget id="calculator">145 * 2 * 2</gadget>
<output>580</output>
<result>580</result> | 580 | calc |
ape210k__00278659 | The ratio of A and B is 3:5. The difference between B and A is 2.4. What is B? | <gadget id="calculator">5 - 3</gadget>
<output>2</output>
<gadget id="calculator">2.4 / 2</gadget>
<output>1.2</output>
<gadget id="calculator">1.2 * 5</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__00036516 | Store fruit in cold storage, store apples in 2,000 boxes, accounting for (2/5) of the total number of fruits, and store oranges (1/4) of the total, how many boxes of oranges are stored? | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">2_000 / (2/5)</gadget>
<output>5_000</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">5_000 * (1/4)</gadget>
<output>1_250</output>
<result>1_250</result> | 1_250 | calc |
ape210k__00335943 | □/7=6…2, how much should be filled in □ | <gadget id="calculator">6 * 7</gadget>
<output>42</output>
<gadget id="calculator">42 + 2</gadget>
<output>44</output>
<result>44</result> | 44 | calc |
ape210k__00446931 | A cuboid gasoline barrel has a bottom area of 15 decimeters and a height of 6 decimeters. If 1 liter of gasoline weighs 0.74 kilograms, how many kilograms of gasoline can this barrel hold? | <gadget id="calculator">15 * 6</gadget>
<output>90</output>
<gadget id="calculator">90 * 0.74</gadget>
<output>66.6</output>
<result>66.6</result> | 66.6 | calc |
aqua_rat__UDJR6DZAgnneZvjc | A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 15 minutes. How long will it take to go 5 km in stationary water? Options:
A) 40 minutes B) 1 hour C) 1 hour 15 min D) 1 hour 30 min E) 1 hour 40 min | speed (upstream) =2/1=
<gadget id="calculator">2/1</gadget>
<output>2</output>
2 kmhr speed (downstream)=1/(15/60)=
<gadget id="calculator">1/(15/60)</gadget>
<output>4</output>
4 kmhr speed in still water= 1/2 (2+4) = 3 kmhr time taken in stationary = 5/3 = 1 hrs 40 min ANSW1 hour 40 minR:1 hour 40 min
<resu... | E | calc |
aqua_rat__FnyJJ28rLf2x0AcG | If each of 4 subsidiaries of Corporation R has been granted a line of credit of $791,000 and each of the other 3 subsidiaries of Corporation R has been granted a line of credit of $112,000, what is the average (arithmetic mean) line of credit granted to a subsidiary of Corporation R? Pick one
A) $500,000 B) $448,000 ... | My take is A. (791000*4 + 112000*3)/7=
<gadget id="calculator">(791000*4 + 112000*3)/7</gadget>
<output>500_000</output>
500000
<result>A</result> | A | calc |
aqua_rat__GXgvJfnhhOd9MESG | There are four prime numbers written in ascending order of magnitude. The product of the first three is 7429 and of the last three is 12673. Find the fourth number?
A. 17 B. 29 C. 23 D. 31 Choose the correct choice:
A) 17 B) 29 C) 23 D) 31 E) 33 | (7429/12673) = 17/29 Fourth Number is 29 ANSWER:29
<result>B</result> | B | calc |
aqua_rat__pvYEvalYtMNG950E | Twenty six years ago,a father was three times as old as his son.Now the father is only twice as old as his son. Then the sum of the present ages of the son and the father is :
Select:
A) 120
B) 156
C) 108
D) 105
E) 86 | Let the present ages of the father and son be 2x and x years respectively. then,(2x-26)=3 (x-26) x=52. Required sum =(2x+x)=3x=156 years. Answer is 156
<result>B</result> | B | calc |
ape210k__00461000 | The school band recruited 42 new students, of which 25 could play the violin, 22 could play the electronic organ, and 3 could neither. How many people can do both. | <gadget id="calculator">25 + 22</gadget>
<output>47</output>
<gadget id="calculator">42 - 3</gadget>
<output>39</output>
<gadget id="calculator">47 - 39</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__00224601 | To make the quotient of "□21/9" a three-digit number, how much can only be filled in "□" | <result>9</result> | 9 | calc |
ape210k__00451545 | A passenger car and a truck depart from cities A and B at the same time and drive opposite each other. The ratio of the speed of the passenger car to the speed of the truck is 9:7. After 3 hours of departure, the two cars meet at a distance of 25 kilometers from the midpoint of the two cities. What is the length of the... | <gadget id="calculator">25 * 2</gadget>
<output>50</output>
<gadget id="calculator">9 - 7</gadget>
<output>2</output>
<gadget id="calculator">50 / 2</gadget>
<output>25</output>
<gadget id="calculator">9 + 7</gadget>
<output>16</output>
<gadget id="calculator">25 * 16</gadget>
<output>400</output>
<result>400</res... | 400 | calc |
ape210k__00227243 | Given that the average of data 1, 2, x, and 5 is 2.5, what is the median of this group of data? | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">2 / 4</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">5 / 4</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">2.5 - (1/4) - (1/2) - (5/4)</gadget>
<output>0.5</output>
<gadget id="c... | 2 | calc |
ape210k__00955051 | The canteen of County No. 1 Middle School bought 1,000 kilograms of flour and ate it for 5 days, leaving 340 kilograms. How many kilograms do you eat on average per day? | <gadget id="calculator">1_000 - 340</gadget>
<output>660</output>
<gadget id="calculator">660 / 5</gadget>
<output>132</output>
<result>132</result> | 132 | calc |
aqua_rat__Gw00vm8trZPSMeCs | If 36 men can do a piece of work in 25 hours, in how mwny hours will15 men do it? Choose one:
A) 33 B) 38 C) 60 D) 88 E) 22 | Explanation: Let the required no of hours be x. Then Less men , More hours (Indirct Proportion) \inline \fn_jvn \therefore 15:36 ::25:x \inline \fn_jvn \Leftrightarrow (15 x X)=(36 x 25) \inline \fn_jvn \Leftrightarrow \inline \fn_jvn x=\frac{36\times 25}{15}=60 Hence, 15 men can do it in 60 hours. Answer: 60... | C | calc |
ape210k__00558231 | The area of a sector is 62.8d㎡, the radius of its circle is 12dm, what is its central angle? | <result>50</result> | 50 | calc |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.