id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00296416 | The air-conditioning factory completed the annual planned tasks in the first half of last year (9/16), and completed the same amount in the second half and the first half of the year. What percentage of the annual air-conditioning factories actually overfulfilled the annual planned tasks last year? | <gadget id="calculator">9 / 16</gadget>
<output>9/16 = around 0.5625</output>
<gadget id="calculator">(9/16) - 1</gadget>
<output>-7/16 = around -0.4375</output>
<gadget id="calculator">(9/16) + (-7/16)</gadget>
<output>1/8 = around 0.125</output>
<result>1/8 = around 0.125</result> | 1/8 | calc |
ape210k__00997343 | Zhang Wei bought 100 balls, 28% of which are red balls. The ratio of red balls to basketballs is 4:5. How many basketballs are there? | <gadget id="calculator">28 / 100</gadget>
<output>7/25 = around 0.28</output>
<gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(7/25) / (4/5)</gadget>
<output>7/20 = around 0.35</output>
<gadget id="calculator">100 * (7/20)</gadget>
<output>35</output>
<result>35</res... | 35 | calc |
ape210k__00902613 | In this "Drought Relief and Disaster Relief Donation Activity", 75 classes in our school donated a total of more than 64,350 yuan, and the average donation per class is how much. | <gadget id="calculator">64_350 / 75</gadget>
<output>858</output>
<result>858</result> | 858 | calc |
ape210k__00521175 | Uncle Wang passed by the clock tower when he was going to work, and just heard the time chime. When I got off work at noon, Uncle Wang happened to catch up with the bell tower to tell the time again. From the first ring to the last ring, exactly one minute passed. What time does Uncle Wang pass the clock tower after ge... | <gadget id="calculator">6 - 1</gadget>
<output>5</output>
<gadget id="calculator">30 / 5</gadget>
<output>6</output>
<gadget id="calculator">60 / 6</gadget>
<output>10</output>
<gadget id="calculator">10 + 1</gadget>
<output>11</output>
<result>11</result> | 11 | calc |
ape210k__00573443 | A pile of coal is transported away (1/4) for the first time, and 20 tons are transported away, and 20% are transported for the second time, how many tons are transported for the second time? | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">20 / (1/4)</gadget>
<output>80</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">80 * (1/5)</gadget>
<output>16</output>
<result>16</result> | 16 | calc |
ape210k__00047041 | What is the product of 2.4 minus 0.8 multiplied by (3/4)? | <gadget id="calculator">2.4 - 0.8</gadget>
<output>1.6</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">1.6 * (3/4)</gadget>
<output>1.2</output>
<result>1.2</result> | 1.2 | calc |
ape210k__00468874 | If a number has a remainder when divided by 38, what is the largest remainder? | <gadget id="calculator">38 - 1</gadget>
<output>37</output>
<result>37</result> | 37 | calc |
aqua_rat__4C5E4EI4H81me2mW | John invested part of his savings into a investment X that earned a profit of 10% and the rest of the savings into an investment W that lost 15%. If John neither made a profit nor a loss, then what fraction of his savings was invested in investment X?
Choose the most appropriate option:
A) a. 3/5 B) b.2/3 C) c.7/10 ... | X(10) --- Net(0) --- W(-15) = -15/-10 = 3/2. So, John invested 3/3+2=
<gadget id="calculator">3/3+2</gadget>
<output>3</output>
3/5 of his savings in investment X. a. 3/5ns (a. 3/5).
<result>A</result> | A | calc |
math_qa__zJcUM9qLdhRponvI | A student took 6 courses last year and received an average (arithmetic mean) grade of 100 points. The year before, the student took 5 courses and received an average grade of 40 points. To the nearest tenth of a point, what was the student’s average grade for the entire two-year period? Select
A) 79 B) 89 C) 95 D) 72.... | <gadget id="calculator">6 * 100</gadget>
<output>600</output>
<gadget id="calculator">5 * 40</gadget>
<output>200</output>
<gadget id="calculator">600 + 200</gadget>
<output>800</output>
<gadget id="calculator">6 + 5</gadget>
<output>11</output>
<gadget id="calculator">800 / 11</gadget>
<output>800/11 = around 72.7... | D | calc |
ape210k__00657257 | Lay tiles in a cuboid reservoir with a length of 8 meters, a width of 5 meters, and a depth of 2 meters. The tiles used are squares with a side length of 2 decimeters. How many tiles are needed to finish this cistern? | <gadget id="calculator">8 * 5</gadget>
<output>40</output>
<gadget id="calculator">8 * 2</gadget>
<output>16</output>
<gadget id="calculator">5 * 2</gadget>
<output>10</output>
<gadget id="calculator">16 + 10</gadget>
<output>26</output>
<gadget id="calculator">26 * 2</gadget>
<output>52</output>
<gadget id="calcu... | 2_300 | calc |
aqua_rat__CZi5V0EBMm252D38 | If the ratio of boys to girls in a class is B and the ratio of girls to boys is G; then 10(B + G) is ?
Choose the most appropriate option: A) Equal to 3 B) Less than 3 C) More than 10 D) Less than 10 E) none of these | Let number of boys = x Let number of girls = y Therefore x/y = B and y/x = G 10(B + G) = 10[(x/y) + (y/x)] = 10[(x2 + y2)/xy] > 10 ANSWER:More than 10
<result>C</result> | C | calc |
ape210k__00479350 | The fruit shop shipped 820 kilograms of fruit, sold 235 kilograms in the morning and 365 kilograms in the afternoon, how many kilograms are left? | <gadget id="calculator">820 - 235 - 365</gadget>
<output>220</output>
<result>220</result> | 220 | calc |
math_qa__ctwgxYWguzs0zc2P | Walking with 4/5 of my usual speed, I arrive at the bus stop 8 minutes later than normal. How many minutes does it take to walk to the bus stop at my usual speed? Select the correct option.
A) 20 B) 24 C) 28 D) 32 E) 36 | <gadget id="calculator">5 / 4</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">(5/4) - 1</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">8 / (1/4)</gadget>
<output>32</output>
<result>D</result> | D | calc |
ape210k__00621718 | A rope is 26.2 meters long, 7.2 meters are used for the first time, and 3.8 meters are used for the second time, how many meters are left? | <gadget id="calculator">26.2 - 7.2 - 3.8</gadget>
<output>15.2</output>
<result>15.2</result> | 15.2 | calc |
ape210k__00342446 | Put together a cuboid and a cube to form a new cuboid. The surface area of the new cuboid is 80 square centimeters larger than that of the original cuboid. Find the surface area of the cube. | <gadget id="calculator">80 / 4</gadget>
<output>20</output>
<gadget id="calculator">20 * 6</gadget>
<output>120</output>
<result>120</result> | 120 | calc |
ape210k__00237135 | If a room is paved with square bricks with a side length of 3 decimeters, 432 pieces are needed. If the floor is paved with square bricks with a side length of 4 decimeters, how many pieces are needed? | <gadget id="calculator">3 * 3 * 432</gadget>
<output>3_888</output>
<gadget id="calculator">4 * 4</gadget>
<output>16</output>
<gadget id="calculator">3_888 / 16</gadget>
<output>243</output>
<result>243</result> | 243 | calc |
aqua_rat__QdbpY9MRabEbs3GR | Of the 600 residents of Clermontville, 35% watch the television show Island Survival, 40% watch Lovelost Lawyers and 50% watch Medical Emergency. If all residents watch at least one of these three shows and 18% watch exactly 2 of these shows, then how many Clermontville residents C watch all of the shows? Choose the co... | OA is D. 100= A+B+C-AB-AC-BC+ABC, which is the same as the following formula 100= A+B+C+(-AB-AC-BC+ABC+ABC+ABC)-2ABC. The term between parantheses value 18% so the equation to resolve is 100=35+40+50-18-2ABC therefore the value of ABC is 3.5% of 600,C is 21. 21 is the correct answer
<result>D</result> | D | calc |
math_qa__O5YsiGdDpytSvIVX | Two brother X and Y appeared for an exam. The probability of selection of X is 1/7 and that of B is 2/9. Find the probability that both of them are selected. Choose the correct choice from the following answers
A) 2 / 69 B) 2 / 60 C) 2 / 63 D) 2 / 29 E) 2 / 10 | <gadget id="calculator">1 / 7</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calculator">2 / 9</gadget>
<output>2/9 = around 0.222222</output>
<gadget id="calculator">(1/7) * (2/9)</gadget>
<output>2/63 = around 0.031746</output>
<result>C</result> | C | calc |
aqua_rat__Z5GHRraHHA7gfXhH | Find a a prime number from the options below. Choose the correct choice: A) 69 B) 70 C) 71 D) 72 E) 74 | Clearly, 71 is a prime number. 71
<result>C</result> | C | calc |
aqua_rat__H7yGclh5m742Ra4u | A watch was sold at a loss of 10%. If the watch was sold for $28 more, there would have been a gain of 4%. What is the cost price? Choose the correct choice from the following choices.
A) $180
B) $200
C) $220
D) $240
E) $260 | 0.9x + 20 = 1.04x 0.14x = 28 x = 200 The answer is $200.
<result>B</result> | B | calc |
aqua_rat__BnixvTRjmMZhfdZC | Rose's grade was 70th percentile of the 60 grades for her class. Of the 40 grades from another class, 16 were higher than Rose's, and the rest were lower. If no other grade was the same as Rose's grade, then Rose's grade was what percentile of the grades of the two classes of two classes combined? Pick: A) 66th B) 70... | 66th/70th/74th/82nd/85th Correct option: 66th
<result>A</result> | A | calc |
ape210k__00306175 | Zhang Hua and Wang Rong started from the east and west at the same time and walked towards each other. After 1 hour and 15 minutes, Zhang Hua walked 0.75 kilometers more than half of the distance between the east and west villages. At this time, he met Wang Rong. 3.7 kilometers per hour, find Zhang Hua's speed. | <gadget id="calculator">0.75 * 2</gadget>
<output>1.5</output>
<gadget id="calculator">1.5 / 1.25</gadget>
<output>1.2</output>
<gadget id="calculator">3.7 + 1.2</gadget>
<output>4.9</output>
<result>4.9</result> | 4.9 | calc |
ape210k__00351685 | A piece of land is plowed by a tractor, and (11/6) hectares are plowed in 45 minutes, which is equivalent to (11/21) of the total area of the land. How many hectares does this land have? | <gadget id="calculator">11 / 6</gadget>
<output>11/6 = around 1.833333</output>
<gadget id="calculator">11 / 21</gadget>
<output>11/21 = around 0.52381</output>
<gadget id="calculator">(11/6) / (11/21)</gadget>
<output>7/2 = around 3.5</output>
<result>7/2 = around 3.5</result> | 7/2 | calc |
ape210k__00529734 | The store sells 2 baskets of oranges, each weighing 24 kilograms, accounting for (3/11) of the total number of fruits shipped, and selling apples (1/4) of the total number of fruits, how many kilograms of apples are sold? | <gadget id="calculator">24 * 2</gadget>
<output>48</output>
<gadget id="calculator">3 / 11</gadget>
<output>3/11 = around 0.272727</output>
<gadget id="calculator">48 / (3/11)</gadget>
<output>176</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">176 * (1/4)<... | 44 | calc |
ape210k__00581745 | There is a triangular experimental field with a base of 250m and a height of 160m, with a total grain output of 4.2 tons throughout the year, how many tons of grain per hectare on average? | <gadget id="calculator">160 / 2 / 10_000</gadget>
<output>1/125 = around 0.008</output>
<gadget id="calculator">250 * (1/125)</gadget>
<output>2</output>
<gadget id="calculator">4.2 / 2</gadget>
<output>2.1</output>
<result>2.1</result> | 2.1 | calc |
aqua_rat__iWRjVLHq4WPgJK6G | If a number is 20% more than the another, how much % is the smaller number less than the first ? Select
A) 12(1/3)% B) 16(2/3)% C) 16(1/3)% D) 16(4/3)% E) none of these | Take a number 100, Then the other number is 120 % the smaller number is less than the first = [(20/(120)) x 100]% = 16(2/3)%. ANSWER:16(2/3)%
<result>B</result> | B | calc |
ape210k__00842119 | The school needs to dig a rectangular sandpit with a length of 5 meters, a width of 3 meters and a depth of 0.6 meters. How many cubic meters of yellow sand are needed to fill it? | <gadget id="calculator">5 * 3 * 0.6</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
aqua_rat__MWQrEkjKuhsA32EU | Two dice are thrown together .What is the probability that the sum of the number on the two faces is divided by 4 or 6 Pick one
A) 3/18 B) 5/18 C) 18/7 D) 18/5 E) 7/18 | Clearly n(S)=6*6=
<gadget id="calculator">6*6</gadget>
<output>36</output>
36 Let E be the event that the sum of the numbers on the two faces is divided by 4 or 6.Then E={(1,3),(1,5),(2,2),(2,4),(2,6),(3,1),(3,3),(3,5),(4,2),(4,4),(5,1),(5,3),(6,2), (6,6)} n(E)=14. Hence p(e)=n(e)/n(s)=14/36=7/18 Option: 7... | E | calc |
aqua_rat__SJi97WszpMbHnIzM | In a certain sequence , the first term is 1, and each successive term is 1 more than the reciprocal of the term that immediately precedes it. What is the fifth term of the sequence? Choose the correct choice from the following:
A) 3/5
B) 5/8
C) 8/5
D) 5/3
E) 9/2 | First term = 1 Second term = (1/1)+ 1=
<gadget id="calculator">(1/1)+ 1</gadget>
<output>2</output>
2 Third Term= (1/2)+1 = 3/2 Forth Term = [1/(3/2)]+1 = 5/3 Fifth Term = [1/(5/3)]+1 = 8/5 Answer: Option 8/5
<result>C</result> | C | calc |
ape210k__00289325 | Uncle Zhang deposits 20,000 yuan in the bank for 5 years, with an annual interest rate of 4.95%. How much is the total amount of principal and interest that he can get at maturity? | <gadget id="calculator">4.95 / 100</gadget>
<output>0.0495</output>
<gadget id="calculator">20_000 * 0.0495 * 5</gadget>
<output>4_950</output>
<gadget id="calculator">20_000 + 4_950</gadget>
<output>24_950</output>
<result>24_950</result> | 24_950 | calc |
ape210k__00301197 | The train has traveled 2964 kilometers from point A to point B, which is 12 times the remaining distance. How many kilometers is the total distance? | <gadget id="calculator">2_964 / 12</gadget>
<output>247</output>
<gadget id="calculator">247 + 2_964</gadget>
<output>3_211</output>
<result>3_211</result> | 3_211 | calc |
ape210k__00419433 | The shape of a piece of glass is triangle, its base is 12.5dm, and its height is 7.8dm. The price of glass per square meter is 68 yuan. How much does it cost to buy this piece of glass? | <gadget id="calculator">7.8 / 2 / 100</gadget>
<output>0.039</output>
<gadget id="calculator">12.5 * 0.039 * 68</gadget>
<output>33.15</output>
<result>33.15</result> | 33.15 | calc |
ape210k__00850673 | Our family originally had 25 rabbits, but we bought another 15. There are 8 cages in total. How many do you put in each cage on average? | <gadget id="calculator">25 + 15</gadget>
<output>40</output>
<gadget id="calculator">40 / 8</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
ape210k__01140269 | Xiaolin ran from the first tree to the tenth tree, and the distance between every two trees was 5 meters. How many meters did he run in total? | <gadget id="calculator">10 - 1</gadget>
<output>9</output>
<gadget id="calculator">9 * 5</gadget>
<output>45</output>
<result>45</result> | 45 | calc |
aqua_rat__597QGsc9TSLtAcuz | At a certain bowling alley, it costs $0.50 to rent bowling shoes for the day and $1.75 to bowl 1 game. If a person has $12.80 and must rent shoes, what is the greatest number of complete games that person can bowl in one day? Choose the correct choice from the following answers:
A) 7 B) 8 C) 9 D) 10 E) 11 | After renting bowling shoes the person is left with $12.80-$0.5=$12.30, which is enough for 12.3/1.7512.80- 0.5=
<gadget id="calculator">12.80- 0.5</gadget>
<output>12.3</output>
$12.30, which is enough for 12.3/1.75=7.02 -> ~7. 7nswer: 7.
<result>A</result> | A | calc |
ape210k__01136593 | Xiaohong goes upstairs. There are 20 steps on the first floor. Xiaohong walks a total of 80 steps. How many floors has she reached? | <gadget id="calculator">80 / 20</gadget>
<output>4</output>
<gadget id="calculator">4 + 1</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
aqua_rat__K6utWong31AezD5S | If T persons take y days to complete z similar jobs, how long does it take y persons to complete 1 such job? Choose the correct choice from the following options.
A) z
B) x
C) x/y
D) z/x
E) y/z | the Q doesn't seem to be having the any correct answer as a choice.. since we are looking for days, lets keep days in end and work out a solution.. T person can do z jobs in y days.. so T person can do 1 job in y/z days.. and 1 person can do 1 job in y^2/z days.. so y person can complete 1 job in y^2/zy=y/z..... | E | calc |
aqua_rat__QyCTTIRQKQpWCAK1 | The greatest number of four digits which is divisible by 15, 25, 40 and 75 is: Choose the correct choice: A) 9000 B) 9400 C) 9600 D) 9800 E) 9700 | Explanation: Greatest number of 4-digits is 9999. L.C.M. of 15, 25, 40 and 75 is 600. On dividing 9999 by 600, the remainder is 399. Required number (9999 - 399)=
<gadget id="calculator"> (9999 - 399)</gadget>
<output>9_600</output>
9600. ANSWER IS 9600
<result>C</result> | C | calc |
ape210k__00450420 | A road construction team repairs a road with a length of 548 kilometers, and repairs an average of 45 kilometers per day. It has been repaired for 8 days. How many meters are left to be repaired? | <gadget id="calculator">45 * 8</gadget>
<output>360</output>
<gadget id="calculator">548 - 360</gadget>
<output>188</output>
<result>188</result> | 188 | calc |
aqua_rat__jQKNjykephc1gt3v | In the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30. In the sport formulation, the ratio of flavoring to corn syrup is three times as great as in the standard formulation, and the ratio of flavoring to water is half that of the standard formulation. If ... | Standard: Fl: Corn S: Water = 1:12:30 Sport: Fl: Corn S: Water = 3:12:180 This simplifies to 1:4:60 If the large bottle has a capacity of x ounces, then 4x / 65 = 6. So, x = 195 / 2 ounces. Water = (60 / 65) * (195 / 2) = 60 * 3 / 4 = 90 ounces. Ans 90
<result>E</result> | E | calc |
ape210k__00426209 | If a cuboid has a base area of 10 square meters and a height of 0.7 meters, what is its volume in cubic meters? | <gadget id="calculator">10 * 0.7</gadget>
<output>7</output>
<result>7</result> | 7 | calc |
aqua_rat__thXqmrr9u1osSZQ3 | An alloy of copper and zinc contains copper and zinc in the ratio 9 : 6. Another alloy of copper and zinc contains copper and zinc in the ratio 6 : 9. In what ratio should the two alloys be mixed so that the resultant alloy contains equal proportions of copper and zinc? Choose the correct choice from the following:
A)... | Let Alloy_1 be x units, and let Alloy_2 be y units. So, fraction of copper in Alloy_1 = 9x/15, and fraction of zinc in Alloy_1 = 6x/15 Similarly, fraction of copper in Alloy_2 = 6y/15, and fraction of zinc in Alloy_2 = 9y/15. Mixing them, we get copper = 9x/15 +6y/15; zinc = 6x/15 + 9y/15 So, 9x+6y = 6x+9y ... | D | calc |
ape210k__00586181 | A total of 196 kilograms of bananas were collected today, with a box of 8 kilograms. If 8 boxes are packed first, and the rest are packed into 6 baskets, how many kilograms are loaded in each basket on average? | <gadget id="calculator">8 * 8</gadget>
<output>64</output>
<gadget id="calculator">196 - 64</gadget>
<output>132</output>
<gadget id="calculator">132 / 6</gadget>
<output>22</output>
<result>22</result> | 22 | calc |
gsm8k__XJzig7XndC09YxIc | Venny spent $15000 on a used car which cost 40% of the original price. What was the original price of the car? | Let x be the original price of the car.
Then 40% * x = $15000.
Thus x = $15000 / 0.4 = $
<gadget id="calculator">15000/0.4</gadget>
<output>37_500</output>
37500.
<result>37_500</result> | 37_500 | calc |
ape210k__01190325 | A pair of trousers is 48 yuan, and the price of a jacket is three times the price of the trousers. How much is the price of the trousers cheaper than the jacket? | <gadget id="calculator">48 * 3</gadget>
<output>144</output>
<gadget id="calculator">144 - 48</gadget>
<output>96</output>
<result>96</result> | 96 | calc |
ape210k__00687393 | Teacher Li, Teacher Wang and their classmates go on an autumn outing. Each set of tickets and tickets is 43 yuan, and a total of 103 sets are needed. How much do you need? | <gadget id="calculator">43 * 103</gadget>
<output>4_429</output>
<result>4_429</result> | 4_429 | calc |
math_qa__LFPWpTbnDxZY16gO | A store sells chairs and tables. If the price of 2 chairs and 1 table is 60% of the price of 1 chair and 2 tables, and the price of 1 table and 1 chair is $60, what is the price, in dollars, of 1 table? (Assume that every chair has the same price and every table has the same price.) Choose the correct answer
A) 105 / 2... | <gadget id="calculator">60 * 2</gadget>
<output>120</output>
<gadget id="calculator">60 / 100</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">60 * (3/5)</gadget>
<output>36</output>
<gadget id="calculator">120 - 36</gadget>
<output>84</output>
<gadget id="calculator">(3/5) + 1</gadget>
<output>8/... | A | calc |
ape210k__00293564 | A cylinder with a height of 6 decimeters is cut in half along the diameter of the base, and its surface area is increased by 24 square decimeters. What is the volume of this cylinder in cubic decimeters? | <gadget id="calculator">24 / 2 / 6</gadget>
<output>2</output>
<gadget id="calculator">2 / 2</gadget>
<output>1</output>
<gadget id="calculator">1 ** 2</gadget>
<output>1</output>
<gadget id="calculator">3.14 * 1 * 6</gadget>
<output>18.84</output>
<result>18.84</result> | 18.84 | calc |
ape210k__00505601 | To make the quotient of □284/8 a three-digit number, what is the maximum number in □. | <result>7</result> | 7 | calc |
ape210k__00320762 | Wang Yun used a 14-meter-long rope to form a rectangle. How many different enclosing methods are there? (Length and width are integers) | <result>3</result> | 3 | calc |
ape210k__00371963 | If two cubes of different sizes are processed into the largest cone with one side of the cube as the base, the sum of the volumes of the two cones is 75.36 cubic centimeters, then how many cubic centimeters is the sum of the volumes of the two cubes? | <gadget id="calculator">12 / 3.14</gadget>
<output>3.821656</output>
<gadget id="calculator">75.36 * 3.821656</gadget>
<output>287.999996</output>
<result>287.999996</result> | 287.999996 | calc |
ape210k__00334529 | The perimeter of the rectangle is 12 meters, the known width is 2 meters, how many meters is the length? | <gadget id="calculator">12 / 2</gadget>
<output>6</output>
<gadget id="calculator">6 - 2</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
aqua_rat__bG9BW9b3Cm7iIizP | Five years ago the average of the ages of A and B was 40 years and now the average of the ages of B and C is 48 years. What will be the age of the B ten years hence?
Choices.
A) 55 years B) 44 years C) 33 years D) Data inadequate E) None of these | Let the present ages of A, B and C be a, b and c respectively. Given, [(a - 5) + (b - 5)] / 2 = 40 => a + b = 90 --- (1) (b + c)/2 = 48 => b + c = 96 --- (2) From (1) and (2), we cannot find b. Answer:Data inadequate
<result>D</result> | D | calc |
ape210k__00262804 | The box contains the same number of table tennis balls and badminton balls. Take out 10 table tennis balls and 6 badminton balls each time. After several times, the table tennis balls are gone and there are 12 badminton balls left. How many times have you taken out in total? How many table tennis balls and badminton ba... | <gadget id="calculator">10 - 6</gadget>
<output>4</output>
<gadget id="calculator">12 / 4</gadget>
<output>3</output>
<gadget id="calculator">3 * 10</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
ape210k__00450579 | The turnover of a certain hotel in October is 1.5 million yuan, and the turnover in November is 20% higher than that in October. If the business tax is paid at 5% of the turnover, how much is the total sales tax for these two months? | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 + (1/5)</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">150 * (6/5)</gadget>
<output>180</output>
<gadget id="calculator">180 + 150</gadget>
<output>330</output>
<gadget id="calculator">5 / 100</... | 33/2 | calc |
ape210k__00419146 | x=0.03, x**2=how much | <gadget id="calculator">0.03 * 0.03</gadget>
<output>0.0009</output>
<result>0.0009</result> | 0.0009 | calc |
math_qa__0iky89w6vo3TcACL | X starts a business with Rs.45000. Y joins in the business after 3 months with Rs.36000. What will be the ratio in which they should share the profit at the end of the year? Select the correct option:
A) 20 : 9
B) 2 : 1
C) 3 : 2
D) 2 : 3
E) 5 : 3 | <gadget id="calculator">45_000 * 12</gadget>
<output>540_000</output>
<gadget id="calculator">4 + 3</gadget>
<output>7</output>
<gadget id="calculator">36_000 * 7</gadget>
<output>252_000</output>
<gadget id="calculator">540_000 / 252_000</gadget>
<output>15/7 = around 2.142857</output>
<result>A</result> | A | calc |
ape210k__00155070 | Teacher Wang, who teaches mathematics, is going to visit a friend. Before leaving, Teacher Wang talks to this friend on the phone. The phone number of the friend’s house is 27433619. After calling, Teacher Wang finds that the phone number is exactly 4 consecutive prime numbers of the product. Question: What is the sum ... | <gadget id="calculator">67 + 71 + 73 + 79</gadget>
<output>290</output>
<result>290</result> | 290 | calc |
ape210k__00479400 | There are 43 students in a five-year class. Three of them missed the midterm exam, and their average score was 82. Later, the three students scored 99, 96, and 94 in the make-up exam. What is the average score of the class at this time? | <gadget id="calculator">43 - 3</gadget>
<output>40</output>
<gadget id="calculator">40 * 82</gadget>
<output>3_280</output>
<gadget id="calculator">3_280 + 99 + 96 + 94</gadget>
<output>3_569</output>
<gadget id="calculator">3_569 / 43</gadget>
<output>83</output>
<result>83</result> | 83 | calc |
ape210k__00251117 | If one base angle of an isosceles triangle is 70 degrees, what is its top angle? | <gadget id="calculator">70 * 2</gadget>
<output>140</output>
<gadget id="calculator">180 - 140</gadget>
<output>40</output>
<result>40</result> | 40 | calc |
ape210k__00319004 | A 3-meter-long bamboo pole is inserted into the soil. The part exposed to the ground is 2.4 meters long. How many meters is the part inserted into the soil? | <gadget id="calculator">3 - 2.4</gadget>
<output>0.6</output>
<result>0.6</result> | 0.6 | calc |
aqua_rat__iotgep74ewZuUspe | A woman named Vaisali started a business investing Rs. 30,000. Roja joined him after six months with an amount of Rs. 90,000 and Sachin joined them with Rs. 60,000 after another six months. The amount of profit earned should be distributed in what ratio among Vaisali, Roja and Sachin respectively, 3 years after A woman... | Explanation : Akash : Roja : Sachin = (30,000 x 36) : (90,000 x 30) : (60,000 x 24) = 36 : 90 : 48 = > 6 : 15 : 8 Answer : 6 : 15 : 8
<result>B</result> | B | calc |
ape210k__00803901 | The school bought 5 bookshelves, each with 6 layers, and each layer can hold 30 books. How many books can these bookshelves hold in total? | <gadget id="calculator">6 * 5 * 30</gadget>
<output>900</output>
<result>900</result> | 900 | calc |
aqua_rat__1XzYRAs3Q784HATK | The average of 26,29,n,35 and 43 lies between 25 and 35. If n is always an integer and greater than the average of the given integers then the value of n is : Choose the correct choice from the following answers:
A) 36 B) 29 C) 33 D) 28 E) 21 | Explanation: Average of 26,29,35 and 43 is 33.25 . Also the average of 26 , 29, n, 35 and 43 lies between 25 and 35 i.e, Rightarrow 125 < 26+29+n+35+43 < 175 Rightarrow 125 < 133 + n < 175 Rightarrow n < 42 Since the value of n is an integer and greater than 33.25 then 33 < n < 42 for eve... | C | calc |
ape210k__00293172 | cylinder and a cone have the same base and height, the volume of the cylinder is 0.24 cubic meters, and the volume of the cone is how many cubic decimeters. | <gadget id="calculator">0.24 / 3</gadget>
<output>0.08</output>
<result>0.08</result> | 0.08 | calc |
ape210k__00561367 | (1/3) of a number is 12 less than its (1/2), find this number. | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/2) - (1/3)</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">12 / (1/6)</gadget>
<output>72</output>
<result>72</res... | 72 | calc |
ape210k__00633367 | The product of two factors is 36, what is the product when one factor remains unchanged and the other factor is reduced by 4 times. | <gadget id="calculator">36 / 4</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
aqua_rat__UajllDKn9gfZWAKx | The probability that a man will be alive for 10more yrs is 1/3& the probability that his wife will alive for 10 more yrs is 2/5. The probability that none of them will be alive for 10 more yrs, is Choices.
A) 1/2 B) 1 C) 2/3 D) 3/4 E) 2/5 | Sol. Required probability = Pg.) x P(B) = (1— D x(1 —I) =: x 1=2/5 Ans.(2/5)
<result>E</result> | E | calc |
aqua_rat__tv0uuOxP8UJayUO5 | A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit? Answers
A) Rs. 18.20
B) Rs. 70
C) Rs. 72
D) Rs. 88.25
E) Rs. 80 | Explanation: C.P. = Rs.(100/122.5 x 392)= Rs.(1000*1225 x 392)= Rs. 320 Profit = Rs. (392 - 320) = Rs. 72. ANSWER IS Rs. 72
<result>C</result> | C | calc |
ape210k__00162122 | A, B, C, jointly repaired the fence, A and B jointly completed the construction in 5 days (1/3), B and C completed the remaining (1/4) in 2 days, and then A and C completed the construction in 5 days, the entire project The labor remuneration is 600 yuan, how much is B's share? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/3) / 5</gadget>
<output>1/15 = around 0.066667</output>
<gadget id="calculator">1 - (1/3)</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
... | 105 | calc |
aqua_rat__Xci6eo0ScXs7lJY7 | Some times small town drivers can be very rude. One taxi driver I had the occasion to travel with was particularly lacking in courtesy, and so I asked for his number.
The driver gave me a sardonical smile and said. 'Well, if you divide my number by 2, 3, 4, 5 or 6 you will find there is always 1 remaining. But if you d... | 121 The driver's number was 121.
<result>A</result> | A | calc |
ape210k__00326423 | Five students transported a total of 600 bricks. According to this calculation, how many students are needed to transport 1,800 bricks? | <gadget id="calculator">600 / 5</gadget>
<output>120</output>
<gadget id="calculator">1_800 / 120</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
ape210k__00888603 | There are two granaries, take out (1/4) from warehouse A, and take out (1/5) from warehouse B, the remaining grain, warehouse A is three times that of warehouse B, the original grain of warehouse A is 480 tons , How many tons of grain did Yi warehouse have? | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 - (1/4)</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">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="ca... | 150 | calc |
ape210k__01100385 | If the side length of a square is 6 cm, if the side length is increased by 2 cm, the perimeter will increase by how many cm. | <gadget id="calculator">2 * 4</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
aqua_rat__Cx0IZ0ihjC7h31Pl | A thief is noticed by a policeman from a distance of 200 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 5 minutes? Pick one: A) 120 m B) 200 m C) 170 m D) 100 m E) 250 m | Relative speed of the thief and policeman = 11 - 10=
<gadget id="calculator">11 - 10</gadget>
<output>1</output>
1 km/hr. Distance covered in 5 minutes= 1/60 * 5 = 1/12 km = 80 m. Distance between the thief and policeman = 200 - 80=
<gadget id="calculator">200 - 80</gadget>
<output>120</output>
120 m 120 m
<res... | A | calc |
ape210k__00535625 | There are 18 members of a school football team taking a group photo. Please take photos in a photo studio. The price for printing three 6-inch photos is 45 yuan, and each additional photo is 3 yuan. If each person gets a photo, how much does each person need to pay? money. | <gadget id="calculator">18 - 3</gadget>
<output>15</output>
<gadget id="calculator">3 * 15</gadget>
<output>45</output>
<gadget id="calculator">45 + 45</gadget>
<output>90</output>
<gadget id="calculator">90 / 18</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
ape210k__00092847 | There is a cuboid whose base is square and whose height is twice the side length of the square at the base. It is also known that the surface area of the cuboid is 360 square centimeters. What is the height of the cuboid in centimeters? | <gadget id="calculator">2 * 6</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
aqua_rat__mwpFqr1vZnjyf6WM | The avg. age of a group of 24 students is 20 years.If 4 more students join the group,the avg age increases by 1 year.The avg age of the new student is? Select: A) 22 years B) 23 years C) 24 years D) 25 years E) 27 years | Total age of 12 students=24*20=
<gadget id="calculator">24*20</gadget>
<output>480</output>
480 If total age of 4 students=x Then, (480+x)/(24+4) =(20+1), x=108 So average age of new students=108/4=
<gadget id="calculator">108/4</gadget>
<output>27</output>
27 years ANSW27 yearsR:27 years
<result>E</result> | E | calc |
ape210k__01058351 | After a cube is cut into two identical cuboids, the surface area increases by 24 square centimeters. What is the surface area of the original cube? | <gadget id="calculator">24 / 2</gadget>
<output>12</output>
<gadget id="calculator">12 * 6</gadget>
<output>72</output>
<result>72</result> | 72 | calc |
aqua_rat__Qo8VyMS5GNIG2Q5G | A car travels at a speed of 10 miles per hour. How far will it travel in 5 hours? Select the correct option: A) 50 miles B) 62 miles C) 325 miles D) 70 miles E) 20 miles | During each hour, the car travels 65 miles. For 5 hours it will travel 10 + 10 + 10 + 10 + 10 = 5 *10=
<gadget id="calculator">5 *10</gadget>
<output>50</output>
50 miles correct answer 50 miles
<result>A</result> | A | calc |
ape210k__01065899 | 70% of a number is 28 more than its 35%, what is the number? | <gadget id="calculator">35 / 100</gadget>
<output>7/20 = around 0.35</output>
<gadget id="calculator">28 / (7/20)</gadget>
<output>80</output>
<result>80</result> | 80 | calc |
math_qa__umpdUAVDBLuepGmr | A football player scores 3 goals in his fifth match thus increasing his average goals score by 0.2. The total number of goals in his 5 matches would be
Choose the correct choice from the following.
A) 4 B) 6 C) 8 D) 11 E) 12 | <gadget id="calculator">4 * 3</gadget>
<output>12</output>
<gadget id="calculator">4 * 5</gadget>
<output>20</output>
<gadget id="calculator">20 * 0.2</gadget>
<output>4</output>
<gadget id="calculator">12 - 4</gadget>
<output>8</output>
<gadget id="calculator">8 + 3</gadget>
<output>11</output>
<result>D</result> | D | calc |
ape210k__00120224 | The page numbers of a book range from 1 to 82, and there are 82 pages in total. When the page numbers of the pages of this book are added up, one page number is added by mistake, and the resulting sum is 3440. So what is the page number that has been added once? | <gadget id="calculator">1 + 82</gadget>
<output>83</output>
<gadget id="calculator">82 / 2</gadget>
<output>41</output>
<gadget id="calculator">83 * 41</gadget>
<output>3_403</output>
<gadget id="calculator">3_440 - 3_403</gadget>
<output>37</output>
<result>37</result> | 37 | calc |
ape210k__00076296 | Blood accounts for 1/13 of a person's body weight. The blood in Xiaoming's body is about 4 kilograms. How many kilograms does he weigh? | <gadget id="calculator">1 / 13</gadget>
<output>1/13 = around 0.076923</output>
<gadget id="calculator">4 / (1/13)</gadget>
<output>52</output>
<result>52</result> | 52 | calc |
ape210k__00317906 | A rectangular piece of colored paper is 8 decimeters long and half as wide as it is long. What is the area of the paper? | <gadget id="calculator">8 / 2</gadget>
<output>4</output>
<gadget id="calculator">8 * 4</gadget>
<output>32</output>
<result>32</result> | 32 | calc |
ape210k__01026599 | Teacher Wang spent 378 yuan to buy 3 basketballs, 152 yuan to buy 2 pairs of badminton rackets, and paid 550 yuan to the salesperson. How much should I get back? | <gadget id="calculator">550 - 378 - 152</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
ape210k__00872293 | The volume of a cuboid is 43.2 cubic centimeters, the area of the base is 12 square centimeters, and what is the height in centimeters. | <gadget id="calculator">43.2 / 12</gadget>
<output>3.6</output>
<result>3.6</result> | 3.6 | calc |
math_qa__uRR3u2Dy94z7tzMn | Two airplanes take off from one airfield at noon. One flies due east at 204 miles per hour while the other flies directly northeast at 283 miles per hour. Approximately how many miles apart are the airplanes at 2 p.m.? Choose the correct choice from the following answers.
A) 166 B) 408 C) 400 D) 483 E) 566 | <gadget id="calculator">283 * 2</gadget>
<output>566</output>
<gadget id="calculator">566 ** 2</gadget>
<output>320_356</output>
<gadget id="calculator">204 * 2</gadget>
<output>408</output>
<gadget id="calculator">408 ** 2</gadget>
<output>166_464</output>
<gadget id="calculator">320_356 - 166_464</gadget>
<output... | B | calc |
math_qa__X8ykkOYWWBEn6uea | 10 men do a work in 10days. How many men are needed to finish the work in 5days? Choose the correct choice from the following choices
A) 50 B) 20 C) 30 D) 10 E) 15 | <gadget id="calculator">10 * 10</gadget>
<output>100</output>
<gadget id="calculator">100 / 5</gadget>
<output>20</output>
<result>B</result> | B | calc |
math_qa__5LYZXh1jrq4AlVvM | The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/50 of the area of the field. What is the length of the field? Choices: A) 73 B) 32 C) 34 D) 43 E) 80 | <gadget id="calculator">8 ** 2</gadget>
<output>64</output>
<gadget id="calculator">64 * 50</gadget>
<output>3_200</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">3_200 / (1/2)</gadget>
<output>6_400</output>
<gadget id="calculator">6_400 ** (1/2)</gadget>
<... | E | calc |
ape210k__00114957 | The store shipped 11 boxes of apples and 11 boxes of oranges. Each box of apples weighed 28 kilograms, and each box of oranges weighed 21 kilograms. How many kilograms more apples were shipped than oranges? | <gadget id="calculator">11 * 28</gadget>
<output>308</output>
<gadget id="calculator">11 * 21</gadget>
<output>231</output>
<gadget id="calculator">308 - 231</gadget>
<output>77</output>
<result>77</result> | 77 | calc |
aqua_rat__iqeeVMeO7tOfy8x3 | A class consists of 100 students, 25 of them are girls and 75 boys; 20 of them are rich and remaining poor; 10 of them are fair complexioned. The probability of selecting a fair complexioned rich girl is
Select:
A) 1/200 B) 1/59 C) 1/56 D) 1/54 E) 1/53 | The probability of selecting girl is: 25/100 = 1/4 The probability of selecting rich is: 20/100 = 1/5 The probability of selecting fair complexioned is: 10/100 = 1/10 Three are independent;probability of rich and fair complexioned girl is: (1/4) ×(1/5) × (1/10) = 1/200 1/200nswer: 1/200
<result>A</result> | A | calc |
ape210k__01080397 | The area of a parallelogram is 12 square decimeters, the base is 4 decimeters, and the height is decimeters. | <gadget id="calculator">12 / 4</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
ape210k__00719851 | A 2-cent coin weighs about 1 gram, and how many 2-cent coins weigh about 10 grams. | <gadget id="calculator">10 / 1</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
gsm8k__W3MPu8tm8tRuTSkf | Every week, Lucas makes 4 pieces of chocolate candy for each of his students on Monday. He made 40 pieces of chocolate candy last Monday. This upcoming Monday, 3 of Lucas' students will not be coming to class. How many pieces of chocolate candy will Lucas make for his class on Monday? | Since Lucas makes 4 pieces of chocolate per student, he has 40 / 4 =
<gadget id="calculator">40/4</gadget>
<output>10</output>
10 students.
This upcoming Monday, there will be 10 - 3 =
<gadget id="calculator">10-3</gadget>
<output>7</output>
7 students.
Lucas will make 4 * 7 =
<gadget id="calculator">4*7</gadget>
<o... | 28 | calc |
aqua_rat__MHGmH1cUL6H6dYUK | A small pool filled only with water will require an additional 300 gallons of water in order to be filled to 80% 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) 1300... | Since pumping in additional 300 gallons of water will increase the amount of water in the pool by 30%, then initially the pool is filled with 1,000 gallons of water. So, we have that 1,000 + 300 = 0.8*{total} --> {total} = 1,625. Answer: 1625.
<result>E</result> | E | calc |
ape210k__00058998 | 4 students have a table tennis match, every 2 people have a game, each person has to play. how many games | <gadget id="calculator">4 - 1</gadget>
<output>3</output>
<gadget id="calculator">4 / 2</gadget>
<output>2</output>
<gadget id="calculator">3 * 2</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__01177125 | A store buys a batch of electrical appliances. The purchase price of each appliance is 240 yuan, and the selling price is 268 yuan. After the sale, the total profit is 560 yuan. How many appliances are there in this batch? | <gadget id="calculator">268 - 240</gadget>
<output>28</output>
<gadget id="calculator">560 / 28</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
ape210k__01166133 | The teacher wants to put 780 books on 2 bookshelves on average, and each bookshelf has 3 floors. How many books are placed on each floor on average? | <gadget id="calculator">780 / 2 / 3</gadget>
<output>130</output>
<result>130</result> | 130 | calc |
ape210k__00266507 | There are three circles with an area of 30 square centimeters each, the overlapping areas of any pair are 5 square centimeters, 6 square centimeters, and 8 square centimeters, and the overlapping area of the three circles is 3 square centimeters. How many square centimeters do the three circles cover? | <gadget id="calculator">30 * 3</gadget>
<output>90</output>
<gadget id="calculator">90 - 5 - 6 - 8</gadget>
<output>71</output>
<gadget id="calculator">71 + 3</gadget>
<output>74</output>
<result>74</result> | 74 | calc |
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