id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00237757 | Students participate in the rope skipping competition, divided into groups of 4 people in each group, 6 people in each group or 8 people in each group, and there are 3 people in each group. How many students are there at least to participate in the rope skipping competition? | <gadget id="calculator">2 * 2 * 2 * 3</gadget>
<output>24</output>
<gadget id="calculator">24 + 3</gadget>
<output>27</output>
<result>27</result> | 27 | calc |
ape210k__01215865 | Plant potatoes in a rectangular field with an area of 450 square meters, plant one plant in an average of 0.15 square meters, and harvest an average of 2.9 kilograms of potatoes per plant. How many kilograms of potatoes can be harvested in this land? | <gadget id="calculator">450 / 0.15</gadget>
<output>3_000</output>
<gadget id="calculator">3_000 * 2.9</gadget>
<output>8_700</output>
<result>8_700</result> | 8_700 | calc |
ape210k__00002761 | Liu Ming and Li Xiang took the ball, Li Xiang took 60 shots, and Liu Ming took 4 times as many shots as Li Xiang. How many shots did Liu Ming take? | <gadget id="calculator">60 * 4</gadget>
<output>240</output>
<result>240</result> | 240 | calc |
aqua_rat__vqhvEz74zzOXCwKa | John and Karen begin running at opposite ends of a trail until they meet somewhere in between their starting points. They each run at their respective constant rates until John gets a cramp and stops. If Karen runs 50% faster than John, who is only able to cover 25% of the distance y before he stops, what percent longe... | John and Karen begin running at opposite ends of a trail until they meet somewhere in between their starting points. They each run at their respective constant rates until John gets a cramp and stops. If Karen runs 50% faster than John, who is only able to cover 25% of the distance y before he stops, what percent longe... | A | calc |
aqua_rat__oWFGcoWF5vKof7DX | The speed of a car increases by 2 kms after every one hour. If the distance travelling in the first one hour was 50 kms. what was the total distance traveled in 12 hours? Options: A) 252 kms B) 152 kms C) 732 kms D) 752 kms E) 152 kms | Explanation: Total distance travelled in 12 hours =(50+52+54+.....upto 12 terms) This is an A.P with first term, a=50, number of terms, n= 12,d=2. Required distance = 12/2[2 x 50+{12-1) x 2] =6(122) = 732 kms. Answer: 732 kms
<result>C</result> | C | calc |
ape210k__00535667 | There are 5 watches of the same size and shape in the pocket, the straps of 2 watches are silver and white, and the straps of 3 watches are yellow. If you touch any one of them, what is the probability that you will get a watch with a yellow strap? | <gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<result>3/5 = around 0.6</result> | 3/5 | calc |
ape210k__00151436 | In a pan, only 2 eggs can be fried at a time, and both sides must be fried, and each side should be fried for 2 minutes. How many minutes should it take to fry 5 eggs? | <gadget id="calculator">4 + 6</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
gsm8k__zbn8Z8JiesAiI0YK | Ravi can jump higher than anyone in the class. In fact, he can jump 1.5 times higher than the average jump of the three next highest jumpers. If the three next highest jumpers can jump 23 inches, 27 inches, and 28 inches, how high can Ravi jump? | The total height the next three highest can jump is 78 inches because 23 + 27 + 28 =
<gadget id="calculator">23+27+28</gadget>
<output>78</output>
78.
The average height they can jump is 26 inches because 78 / 3 =
<gadget id="calculator">78/3</gadget>
<output>26</output>
26.
Ravi can jump 39 inches high because 26 x ... | 39 | calc |
ape210k__00563136 | What is the area of a right triangle, the two sides of which are 80 decimeters and 24 decimeters respectively? | <gadget id="calculator">24 / 2</gadget>
<output>12</output>
<gadget id="calculator">80 * 12</gadget>
<output>960</output>
<result>960</result> | 960 | calc |
aqua_rat__OhWMn7Fm2bCW62BA | If the average of 365, 409, 187, 420, 451, and x is 314, then what is x?
Answers: A) 190 B) 52 C) 232 D) 114 E) 400 | x = 52 because: (365+409+187+420+451+x)/6=314 (365+409+187+420+451+x)/6*6=314*6 (365+409+187+420+451+x)=1884 (365+409+187+420+451+x)-1832=1884-1832=
<gadget id="calculator">1884-1832</gadget>
<output>52</output>
52 Therefore, the answer is 52, 52.
<result>B</result> | B | calc |
ape210k__01146687 | A square orchard has a perimeter of 40 meters. If each fruit tree covers an area of 5 square meters, how many fruit trees can be planted in this orchard? | <gadget id="calculator">40 / 4</gadget>
<output>10</output>
<gadget id="calculator">10 / 5</gadget>
<output>2</output>
<gadget id="calculator">10 * 2</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
ape210k__00330586 | Calculation: 123*32*125=how much. | <gadget id="calculator">123 * 32 * 125</gadget>
<output>492_000</output>
<result>492_000</result> | 492_000 | calc |
aqua_rat__e7pQteLEpSXBIgKr | When x is divided by y, the quotient is v with remainder r. What is x in terms of r, y, and v?
Choose the correct choice from the following choices
A) y + r +v B) yv + r C) x/y+r D) y/v+r E) rv + y | (x/y) = v + r solve for x x=(v*y)+r Ans yv + r.
<result>B</result> | B | calc |
aqua_rat__hEJfxVvPGJVmJmjK | The average of first five multiples of 3 is
Choices:
A) 3 B) 6 C) 9 D) 12 E) 15 | Solution Average = 3(1+2+3+4+5) / 5 = 45 / 5.=
<gadget id="calculator">45 / 5.</gadget>
<output>9</output>
9. Answer 9
<result>C</result> | C | calc |
ape210k__01130365 | How many tiles are needed to decorate a wall with a length of 5 meters and a width of 4 meters with tiles with a side length of 0.8 decimeters? | <gadget id="calculator">0.8 / 10</gadget>
<output>0.08</output>
<gadget id="calculator">0.08 * 0.08</gadget>
<output>0.0064</output>
<gadget id="calculator">4 / 0.0064</gadget>
<output>625</output>
<gadget id="calculator">5 * 625</gadget>
<output>3_125</output>
<result>3_125</result> | 3_125 | calc |
ape210k__00639911 | A certain mobile phone is now priced at 1320 yuan, which is 180 yuan lower than the original price. How much is the current price lower than the original price? | <gadget id="calculator">1_320 + 180</gadget>
<output>1_500</output>
<gadget id="calculator">180 / 1_500</gadget>
<output>3/25 = around 0.12</output>
<result>3/25 = around 0.12</result> | 3/25 | calc |
aqua_rat__FxqIHUOCCllHfMme | The average marks of 30 students in a class is 60. But a student mark is wrongly noted as 90 instead of 15 then find the correct average marks? Choose the correct answer:
A) 55.65
B) 57.5
C) 62.5
D) 45.25
E) 50 | correct avg marks = 60+(15-90)/30 avg = 60-2.5=
<gadget id="calculator">60-2.5</gadget>
<output>57.5</output>
57.5 Answer is 57.5
<result>B</result> | B | calc |
ape210k__00549756 | Xiao Ming bought a "Four Sages" fighting top. After counter-offering, he paid 7 yuan, which was 3 yuan cheaper than the original price. How many percent was the actual price of the fighting top cheaper than the original price? | <gadget id="calculator">7 + 3</gadget>
<output>10</output>
<gadget id="calculator">3 / 10</gadget>
<output>3/10 = around 0.3</output>
<result>3/10 = around 0.3</result> | 3/10 | calc |
ape210k__00531523 | The engineering team repaired a road, originally planned to repair 60 meters per day, and completed it in 30 days, but actually completed the task 5 days ahead of schedule, how many meters was repaired on average per day? | <gadget id="calculator">60 * 30</gadget>
<output>1_800</output>
<gadget id="calculator">30 - 5</gadget>
<output>25</output>
<gadget id="calculator">1_800 / 25</gadget>
<output>72</output>
<result>72</result> | 72 | calc |
ape210k__00169962 | A sprinkler truck travels 70 meters per minute, the width of sprinkling water is 9 meters, and the sprinkler truck travels for 5 minutes, how much ground can it sprinkle water on? | <gadget id="calculator">70 * 5 * 9</gadget>
<output>3_150</output>
<result>3_150</result> | 3_150 | calc |
aqua_rat__69LwoUyPDA0zTXtR | If the price of a computer were reduced by 12 percent, which of the following could not be the final price of the computer? (Assume initial price to be integer in cents) Answers:
A) $844.10 B) $895.40 C) $1,053.80 D) $1,135.20 E) $1,262.80 | Let X be the initial price of computer without discount then price (final) after discount should be=X(1-12/100)------->X(22/25)=A(say) means X=A*(25/22)..... so initial price to be integer(As per stem) final price must be multiple of 22 if we check options all were divisible by 22 except option (A)..which is... | A | calc |
aqua_rat__mv7yoV2iiQFigGGW | Two men started from the same place walk at the rate of 5kmph and 5.5kmph respectively. What time will they take to be 8.5 km apart, if they walk in the same direction? Choose the correct choice.
A) 10hours B) 12hours C) 17hours D) 15hours E) 20hours | To be 0.5km apart they take 1 hour To be 8.5km apart they take = 1/0.5 * 8.5=
<gadget id="calculator">1/0.5 * 8.5</gadget>
<output>17</output>
17 hours Answer is 17hours
<result>C</result> | C | calc |
aqua_rat__dD3HcxfQDTGDT9zN | A pharmaceutical company uses 900 gm in place of 1 kg to sell the drug. Find the actual % profit or loss, when the company sells the product on 10% gain on cost price?
Pick one:
A) 20
B) 25
C) 30
D) 35
E) 40 | Selling price of 900gm = 100+10=
<gadget id="calculator">100+10</gadget>
<output>110</output>
$110 Profit= 110-90=
<gadget id="calculator">110-90</gadget>
<output>20</output>
$20 % of profit= 20*100/80=
<gadget id="calculator">20*100/80</gadget>
<output>25</output>
25 % Answer is 25
<result>B</result> | B | calc |
aqua_rat__wbF1bAAUZqJBxSjo | The speed of a train is 70 kmph. What is the distance covered by it in 10 minutes? Choose the correct choice:
A) 10.66 kmph B) 11.66 kmph C) 21.66 kmph D) 12.66 kmph E) 11.96 kmph | 70 * 10/60 = 11.66 kmph ANSWER:11.66 kmph
<result>B</result> | B | calc |
ape210k__01017943 | There are 3 identical drawers in a cabinet, each of which contains 3 Chinese books, 4 math books, and 2 English books. Xiao Ming opens the cabinet and opens a drawer arbitrarily. What is the probability that he will take the math book? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<result>1/3 = around 0.333333</result> | 1/3 | calc |
ape210k__00482177 | The garment factory has to process 1,500 sets of garments, and processed 40% of this batch of garments in the first 3 days. According to this calculation, how many days will it take to process this batch of garments? | <gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">3 / (2/5)</gadget>
<output>15/2 = around 7.5</output>
<gadget id="calculator">(15/2) - 3</gadget>
<output>9/2 = around 4.5</output>
<result>9/2 = around 4.5</result> | 9/2 | calc |
aqua_rat__VOJa0FuUPk8EDhTZ | If X+Y = 2X-2Z, X+2Y = 4Z and X+Y+Z = 21, what is the value of Y/Z?
Choose the correct choice from the following:
A) -4.5.
B) 0.667.
C) 1.7.
D) 3.
E) 2.5. | X+Y = 2X-2Z Y= X-2Z---------- 1 X+2Y = 4Z -X+4Z= 2Y--------- 2 Adding equation 1 from equation 2 2Z = 3Y Y/Z = 0.667 0.667. is the answer
<result>B</result> | B | calc |
ape210k__00137642 | A number, it contains factors 1, 3, 5, 15, what is this number | <gadget id="calculator">3 * 5</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
ape210k__00941393 | The shopping mall held a store celebration event, and a refrigerator was 600 yuan cheaper after a 20% discount. How much is the original price of this refrigerator? | <gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">1 - (4/5)</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">600 / (1/5)</gadget>
<output>3_000</output>
<result>3_000</result> | 3_000 | calc |
ape210k__00533808 | A cylinder with a base radius of 6 cm and a height of 10 cm is cut and assembled into an approximate cuboid. By how many square centimeters does the surface area of the cuboid increase compared to the cylinder? | <gadget id="calculator">10 * 6 * 2</gadget>
<output>120</output>
<result>120</result> | 120 | calc |
ape210k__00202790 | Xiao Zhang is on the train, with his back facing the direction of the train, a high-speed passenger car comes across from Xiao Zhang, and it takes 9 seconds for the high-speed passenger car to pass by Xiao Zhang from the front to the rear. If the speed of the high-speed bus is 120 km/h, and the speed of the train that ... | <gadget id="calculator">50 / 3</gadget>
<output>50/3 = around 16.666667</output>
<gadget id="calculator">(50/3) * 9</gadget>
<output>150</output>
<result>150</result> | 150 | calc |
ape210k__00344583 | A certain unit donated 240,000 yuan to the disaster area for the first time, and 50,000 yuan more than three times the first time, how much did the unit donate in total? | <gadget id="calculator">24 * 3</gadget>
<output>72</output>
<gadget id="calculator">72 + 5</gadget>
<output>77</output>
<gadget id="calculator">24 + 77</gadget>
<output>101</output>
<result>101</result> | 101 | calc |
aqua_rat__BabC5ui9eDCKgGja | If A,B is 20%,30% smaller than C then how much percentage is B greater than A? Choose the correct choice from the following choices.
A) 10% B) 11% C) 12 3/4% D) 12 1/2 % E) 13% | A = 80 % B = 70 % C = 100 % A-B/A × 100 = 10/80 × 100 = 12 1/2 % greater than A 12 1/2 %)
<result>D</result> | D | calc |
mawps__2bDpKNiUpXdpscj2 | Rose had 12 Press. Kay bestowed him some more. Now Rose has 129 Press. How many did Kay bestow him? | <gadget id="calculator">129 - 12</gadget>
<output>117</output>
<result>117</result> | 117 | calc |
ape210k__00500889 | On Saturday, 5 students went to visit the museum. They paid a total of 30 yuan for the tickets, and each of them spent 3 yuan for the bus. How much did each person spend on average? | <gadget id="calculator">5 * 3</gadget>
<output>15</output>
<gadget id="calculator">15 + 30</gadget>
<output>45</output>
<gadget id="calculator">45 / 5</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
ape210k__00451430 | 1-(3/8)=how much. | <gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">1 - (3/8)</gadget>
<output>5/8 = around 0.625</output>
<result>5/8 = around 0.625</result> | 5/8 | calc |
ape210k__01190537 | A tunnel is 360 meters long. It took a certain train 8 seconds from the front of the train to enter the tunnel and 20 seconds from the entrance of the train to the exit of the whole train. How long is this train? | <gadget id="calculator">20 - 8</gadget>
<output>12</output>
<gadget id="calculator">360 / 12</gadget>
<output>30</output>
<gadget id="calculator">30 * 8</gadget>
<output>240</output>
<result>240</result> | 240 | calc |
aqua_rat__FbumYhlChZu5gcQ7 | An error 10% in excess is made while measuring the side of a square. Now What is the percentage of error in the calculated area of the square? Pick.
A) 6.64% B) 16.64% C) 15.64% D) 21% E) 10.64% | Percentage error in calculated area =(10+10+(10×10)/100)%=21% ANSWER:21%
<result>D</result> | D | calc |
gsm8k__UIORFa8l5AOjyUPE | Nathan plays amateur baseball. He played for 3 hours for two weeks, every day. His friend Tobias played for 5 hours every day, but only for one week. How many hours did Nathan and Tobias play in total? | Two weeks are 14 days, so Nathan played for 3 * 14 =
<gadget id="calculator">14*3</gadget>
<output>42</output>
42 hours.
Tobias played for 7 days, so he played a total of 5 * 7 =
<gadget id="calculator">5*7</gadget>
<output>35</output>
35 hours.
Nathan and Tobias played together for 42 + 35 =
<gadget id="calculator"... | 77 | calc |
aqua_rat__lK2ggPnabIQDkY1A | Two persons start running simultaneously around a circular track of length 300 m from the same point at speeds of 15 km/hr and 25 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions? Options: A) 28 sec B) 37 sec C) 17 sec D) 23 sec E) 27 sec | 27 sec Time taken to meet for the first time anywhere on the track = length of the track / relative speed = 300 / (15 + 25)5/18 = 300* 18 / 40 * 5 = 27 seconds.
<result>E</result> | E | calc |
ape210k__00062534 | Fold a square piece of paper in half continuously 4 times, how much does each small piece take up in this square piece of paper after folding | <gadget id="calculator">2 * 2 * 2 * 2</gadget>
<output>16</output>
<gadget id="calculator">1 / 16</gadget>
<output>1/16 = around 0.0625</output>
<result>1/16 = around 0.0625</result> | 1/16 | calc |
ape210k__01121135 | The oil yield of rapeseed is 42%. An oil mill extracts 2100 kilograms of rapeseed oil, how many kilograms of rapeseed are used? | <gadget id="calculator">42 / 100</gadget>
<output>21/50 = around 0.42</output>
<gadget id="calculator">2_100 / (21/50)</gadget>
<output>5_000</output>
<result>5_000</result> | 5_000 | calc |
ape210k__00952883 | Cars A and B drive oppositely from two places at the same time, the distance between the two places is 375 kilometers, and they meet after 5 hours. Car A travels 40 kilometers per hour, how many kilometers per hour does Car B travel? | <gadget id="calculator">375 / 5</gadget>
<output>75</output>
<gadget id="calculator">75 - 40</gadget>
<output>35</output>
<result>35</result> | 35 | calc |
ape210k__01212795 | In a division with a remainder, the remainder is 2, when both the dividend and the divisor are enlarged by 100 times, what is the remainder? | <gadget id="calculator">2 * 100</gadget>
<output>200</output>
<result>200</result> | 200 | calc |
ape210k__01060331 | The ratio of the number of boys to the number of girls in a class is 4:5. If there are 24 boys, how many girls are there? | <gadget id="calculator">24 / 4</gadget>
<output>6</output>
<gadget id="calculator">6 * 5</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
aqua_rat__0Trona1mkLyJpQoK | A train running at the speed of 48 km/hr crosses a pole in 9 seconds. What is the length of the train? Choose the correct option
A) 286 B) 120 C) 255 D) 150 E) 287 | Speed=(48 * 5/18) m/sec = (40/3) m/sec Length of the train = (Speed x Time) = (40/3 * 9)=
<gadget id="calculator">(40/3 * 9)</gadget>
<output>120</output>
120 m. Answer:120
<result>B</result> | B | calc |
ape210k__00154605 | Add 8 to a number, multiply by 8, subtract 8, divide by 8, the result is still 8. so what is this number | <gadget id="calculator">8 * 8</gadget>
<output>64</output>
<gadget id="calculator">64 + 8</gadget>
<output>72</output>
<gadget id="calculator">72 / 8</gadget>
<output>9</output>
<gadget id="calculator">9 - 8</gadget>
<output>1</output>
<result>1</result> | 1 | calc |
ape210k__00374978 | The turnover of Hongqi Supermarket in March was 300,000 yuan, an increase of (1/5) compared with the turnover in February. How much is the turnover in February? | <gadget id="calculator">1 / 5</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">30 / (6/5)</gadget>
<output>25</output>
<result>25</result> | 25 | calc |
math_qa__f9XmhDmp8UKbpCF5 | A certain store sold pens for $0.35 each and pencils for $0.25 each. If a customer purchased both pens and pencils from the store for a total of $1.80, what total number of pens and pencils did the customer purchase?
Choose the correct answer:
A) 6
B) 9
C) 10
D) 11
E) 12 | <gadget id="calculator">0.35 + 0.25</gadget>
<output>0.6</output>
<gadget id="calculator">1.8 / 0.6</gadget>
<output>3</output>
<gadget id="calculator">3 * 2</gadget>
<output>6</output>
<result>A</result> | A | calc |
ape210k__00417898 | If 3x+4=16, then 5x/2=what | <gadget id="calculator">16 - 4</gadget>
<output>12</output>
<gadget id="calculator">12 / 3 / 2</gadget>
<output>2</output>
<gadget id="calculator">5 * 2</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__00877103 | A rope is folded in half, and then folded in half again. At this time, each section is 8 meters long. What is the original length of the rope? | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) * (1/2)</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">8 / (1/4)</gadget>
<output>32</output>
<result>32</result> | 32 | calc |
ape210k__00615519 | If the circumference of the base of a cone is 6.28 decimeters and the height is 1.2 decimeters, what is the volume in cubic decimeters? | <gadget id="calculator">6.28 / 3.14 / 2</gadget>
<output>1</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 ** 2</gadget>
<output>1</output>
<gadget id="calculator">(1/3) * 3.14 * 1 * 1.2</gadget>
<output>1.256</output>
<result>1.256</result> | 1.256 | calc |
aqua_rat__rj6H5BC70cU677WJ | The mean of 50 observations was 36. It was found later that an observation 28 was wrongly taken as 23. The corrected new mean is : Choose the most appropriate option:
A) 36.0
B) 36.5
C) 36.1
D) 36.2
E) 36.8 | Explanation: Correct Sum = (36 * 50 + 28 - 23) = 1825. 36.1orrect mean = = 1805/50=
<gadget id="calculator">1805/50</gadget>
<output>361/10 = around 36.1</output>
36.1 Answer: 36.1) 36.1
<result>C</result> | C | calc |
aqua_rat__rzz7Mz4Vkmz3ftfc | The average age of father and his two sons is 32 Years. Five years ago, the average age of the two sons was 14 Years. If the difference between the ages of the two sons is four years, what is the present age of the father? Choose the correct choice from the following answers: A) 45 B) 46 C) 47 D) 60 E) 49 | The total present age of father and two sons is 3x32 = 96 yrs The total present age of sons is (12+5) X 2 = 38Years so, present age of father is 96 – 36 = 60 yrs Answer 60
<result>D</result> | D | calc |
ape210k__00988713 | What is (27/72) reduced to the simplest fraction? | <gadget id="calculator">27 / 72</gadget>
<output>3/8 = around 0.375</output>
<result>3/8 = around 0.375</result> | 3/8 | calc |
ape210k__00522473 | The ratio of the number of boys to girls in a certain elementary school is 16:13. Later, a few girls transferred to this school, and the ratio of boys to girls became 6:5. At this time, there were 880 students in total. Ask the girls who transferred how many people? | <gadget id="calculator">6 + 5</gadget>
<output>11</output>
<gadget id="calculator">6 / 11</gadget>
<output>6/11 = around 0.545455</output>
<gadget id="calculator">880 * (6/11)</gadget>
<output>480</output>
<gadget id="calculator">880 - 480</gadget>
<output>400</output>
<gadget id="calculator">13 / 16</gadget>
<outp... | 10 | calc |
gsm8k__uZgz37UytjOOdeXn | The marching band has 110 members. There are 4 times as many percussion players as there are woodwind, and twice as many woodwinds as brass. How many brass players are there? | Let x represent the number of brass players in the band.
Woodwind:2x.
Percussion:4(2x)=8x.
Total:x+2x+8x=110
11x=110
x=
<gadget id="calculator">10</gadget>
<output>10</output>
10.
<result>10</result> | 10 | calc |
aqua_rat__YNo6rtIdT03UwEiR | A train passes a man standing on the platform. If the train is 125 meters long and its speed is 90 kmph, how much time it took in doing so? Pick:
A) 6 sec B) 2 sec C) 9 sec D) 5 sec E) 1 sec | 5 sec = 125 S = 90 * 5/18=
<gadget id="calculator">90 * 5/18</gadget>
<output>25</output>
25 mps T= 125/25=
<gadget id="calculator">125/25</gadget>
<output>5</output>
5 sec Answer:5 sec
<result>D</result> | D | calc |
aqua_rat__or7lWY9nxYxyNsYW | A can do a piece of work in 4 hours ;B and C together can do it in 3 hours,while A and C together can do it 2 hours.How long will B alone take to do it ? Choose the correct choice from the following choices: A) 8 hours B) 10 hours C) 12 hours D) 24 hours E) None of these | Solution A’s 1 hour’s work = 1/4; (B + C)'s 1 hour’s work=1/3; (A + C)'s 1 hour’s work = 1/2 (A+B+C)’s 1 hour’s work =(1/4 +1/3) =7/12 B’s 1 hour’s work = (7/12-1/2)=1/12 ∴ B alone will take 12 hours to do the work. Answer 12 hours
<result>C</result> | C | calc |
aqua_rat__Yd1AoCFtYGgYfJGF | Mohan purchased 14 kgs of rice at the rate of Rs.26 per kg and 8 kgs of pulses at the rate of Rs.26 per kg. Whaat is the total amount that he paid to the shopkeeper?
Choose the correct choice.
A) A)Rs.572
B) B)Rs.594
C) C)Rs.596
D) D)Rs.595
E) E)of these | Explanation: Price of 14 kgs of rice at Rs.26/kg = 14x26 = Rs.364 Price of 8 kgs of pulses at Rs.26/kg = 8x26 = Rs.208 Therefore, Total amount = Rs.364+Rs.208 = Rs.572. Rs.572nswer: Option Rs.572
<result>A</result> | A | calc |
ape210k__00398616 | The value of x in 7x=63 and □+x=51 is the same, what is the number in □. | <gadget id="calculator">63 / 7</gadget>
<output>9</output>
<gadget id="calculator">51 - 9</gadget>
<output>42</output>
<result>42</result> | 42 | calc |
aqua_rat__vDNxb7Ix5fyg66Ja | An isosceles triangle with sides 13cm,13cm and base of 10cm is inscribed in a circle with radius r.what is the value of 'r'? Pick: A) 3 B) 4 C) 5 D) 6 E) 7 | height of triangle = (13^2 - (10/2)^2)^1/2 = 12 cm area of triangle = abc/4r = (1/2)*base*height => 13*13*10/ 4r = 1/2 *10*12 => r = 169/24 = 7.04 ANSW7R:7
<result>E</result> | E | calc |
gsm8k__RikrSaCddjmxsXEa | Trisha just got a job offer for an hourly job that pays 15 dollars an hour, 40 hours per week. She has been told to estimate that 20 percent of her pay will be withheld to pay taxes, unemployment insurance, and social security. Assuming Trisha works 52 weeks in a year, what is her annual "take-home" pay? | Trisha's pay before taxes is 15 dollars an hour x 40 hours per week x 52 weeks =
<gadget id="calculator">15*40*52</gadget>
<output>31_200</output>
31,200 dollars.
The amount withheld is 20 percent, or 0.2 x 31,200 =
<gadget id="calculator">0.2*31200</gadget>
<output>6_240</output>
6,240 dollars.
Trisha's gross pay of... | 24_960 | calc |
aqua_rat__cTC7kNv7BonMy9uA | A solution of cough syrup has 15% alcohol. Another solution has 5% alcohol. How many litres of the second solution must be added to 20 litres of the first solution to make a solution of 10% alcohol? Options
A) 10 B) 5 C) 15 D) 20 E) 25 | Hence both the types should be added in the ratio of 1 : 1 to obtain the required strength. Hence 20 litres of first type should be added to the 20 litres of the second type to get the desired solution. ANSWER:20
<result>D</result> | D | calc |
ape210k__00066511 | Each of the 10 people shook hands with each other one by one, how many times in total. | <gadget id="calculator">10 - 1</gadget>
<output>9</output>
<gadget id="calculator">10 / 2</gadget>
<output>5</output>
<gadget id="calculator">9 * 5</gadget>
<output>45</output>
<result>45</result> | 45 | calc |
ape210k__00913097 | Li Hua bought a motorcycle worth 4,500 yuan. According to regulations, to buy a motorcycle to pay 10% of the vehicle purchase tax. How much did he spend on this motorcycle? | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">4_500 * (1/10)</gadget>
<output>450</output>
<gadget id="calculator">4_500 + 450</gadget>
<output>4_950</output>
<result>4_950</result> | 4_950 | calc |
aqua_rat__hPGdhMgb7F1nDEBP | A dog takes 2 leaps for every 3 leaps of a hare. If one leap of the dog is equal to 5 leaps of the hare, the ratio of the speed of the dog to that of the hare is : Choose the most appropriate option.
A) 9 : 3
B) 3 : 10
C) 2 : 3
D) 6 : 3
E) 10 : 3 | 10 : 3xplanation: Dog : Hare = (2*5) leaps of hare : 3 leaps of hare = 10 : 3 Answer: 10 : 3
<result>E</result> | E | calc |
ape210k__00837723 | The price of a football is 36 yuan more than that of a basketball, and the price of a football is 1.6 times that of a basketball. How much is a football? (solution by equation) | <gadget id="calculator">1.6 - 1</gadget>
<output>0.6</output>
<gadget id="calculator">36 / 0.6</gadget>
<output>60</output>
<gadget id="calculator">60 + 36</gadget>
<output>96</output>
<result>96</result> | 96 | calc |
ape210k__00235263 | A convoy transported a batch of relief supplies to Sichuan. The original plan was to travel 60 kilometers per hour, and it took 6.5 hours to arrive. Actually, it traveled 78 kilometers per hour. According to this calculation, how many hours will it take to complete the journey? (Solve with ratio) | <gadget id="calculator">60 * 6.5</gadget>
<output>390</output>
<gadget id="calculator">390 / 78</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
ape210k__00072391 | There is a parallelogram vegetable field with a base of 27.6 meters and a height of 15 meters. What is the area in square meters? | <gadget id="calculator">27.6 * 15</gadget>
<output>414</output>
<result>414</result> | 414 | calc |
ape210k__00973695 | Xiaojun goes back and forth from home to school twice, how many meters does he walk every day? (I walk 70 meters per minute on average and need 12 minutes to get to school) | <gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">70 * 12 * 4</gadget>
<output>3_360</output>
<result>3_360</result> | 3_360 | calc |
ape210k__00230782 | Two workshops assemble TV sets. The first workshop assembles 35 units per day, and the second workshop assembles 37 units per day. According to this calculation, how many TVs can be assembled in these two workshops in 15 days. | <gadget id="calculator">35 + 37</gadget>
<output>72</output>
<gadget id="calculator">72 * 15</gadget>
<output>1_080</output>
<result>1_080</result> | 1_080 | calc |
ape210k__00027925 | It takes 8 hours for a bus to travel from Station A to Station B, and 12 hours for a truck to travel from Station B to Station A. The two cars depart from two stations at the same time, and when they meet, the bus is still 156 kilometers away from station B. How many kilometers are the distance between the two stations... | <gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">(1/8) + (1/12)</gadget>
<output>5/24 = around 0.208333</output>
<gadget id="calculator">1 / (5/24)</gadget>
<output>24/5 = around 4.8</out... | 390 | calc |
aqua_rat__bmCeW1aW3SsjmpR5 | The price of a shirt is increased by 15% and then reduced by 15%. The final price of the shirt is? Choose the correct choice from the following options:
A) $97.75
B) $90
C) $91.56
D) $95.62
E) $93.45 | Let the original price be $100 New final price = 85% of (115% of $100) = 85/100 * 115/100 * 100=
<gadget id="calculator">85/100 * 115/100 * 100</gadget>
<output>391/4 = around 97.75</output>
$97.75 $97.75nswer is $97.75
<result>A</result> | A | calc |
ape210k__00079240 | Apples are 3 yuan per kilogram, and oranges are 2.2 yuan per kilogram. Xiao Ming buys 5 kilograms of apples and 5 kilograms of oranges for 30 yuan respectively. How much yuan should he get back? | <gadget id="calculator">3 * 5</gadget>
<output>15</output>
<gadget id="calculator">2.2 * 5</gadget>
<output>11</output>
<gadget id="calculator">15 + 11</gadget>
<output>26</output>
<gadget id="calculator">30 - 26</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
ape210k__00362270 | There are 20 volleyballs in the school, the number of volleyballs is basketball (4/5), the number of basketballs is football (5/6), how many footballs are there? | <gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">20 / (4/5) / (5/6)</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
ape210k__00211624 | piece of fabric can be used to make 8 sets of jackets and trousers. If the jacket is made alone, 12 pieces can be made, and how many pairs of trousers can be made alone. | <gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">(1/8) - (1/12)</gadget>
<output>1/24 = around 0.041667</output>
<gadget id="calculator">1 / (1/24)</gadget>
<output>24</output>
<result>2... | 24 | calc |
ape210k__00253098 | There is a cup of salt water weighing 300 grams, with a salt content of 20%, how many grams of water do you need to add to reduce the salt content to 10%? | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(1/5) / (1/10)</gadget>
<output>2</output>
<gadget id="calculator">300 * 2</gadget>
<output>600</output>
<gadget id="calculator">600 - 300<... | 300 | calc |
aqua_rat__WVduF1vqryiu5akI | In flip of coin seven times in a row, what is the probability that the result will not be tails at any ? Choose the correct choice from the following choices.
A) 1/128 B) 29/128 C) 35/128 D) 1/16 E) 1/4 | In a flip of a coin seven times in a row, tails at no time means heads all the time Heads = at least 7 heads Atleast 7 heads in 7 flip. The total outcome of flip is = 2^7 = 128 For any Coins problem write the ask in the shown format. HHHHHHH Once you have written in the above mentioned format the answer is ... | A | calc |
ape210k__00671003 | A project can be completed by team A alone in 12 days, team B alone in 6 days, how many days will the two teams work together to complete. | <gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">(1/12) + (1/8)</gadget>
<output>5/24 = around 0.208333</output>
<gadget id="calculator">1 / (5/24)</gadget>
<output>24/5 = around 4.8</out... | 24/5 | calc |
ape210k__00205374 | A road is 2.4 kilometers long. (1/2) kilometers were repaired on the first day, and the rest (1/2) was repaired on the second day. How many kilometers are left | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">2.4 - (1/2)</gadget>
<output>1.9</output>
<gadget id="calculator">1.9 * (1/2)</gadget>
<output>0.95</output>
<gadget id="calculator">2.4 - (1/2) - 0.95</gadget>
<output>0.95</output>
<result>0.95</result> | 0.95 | calc |
ape210k__00883071 | In an experimental field, (7/20) is planted with corn and (9/20) is planted with peanuts. The rest are soybeans. What percentage of the experimental field is the part of soybeans? | <gadget id="calculator">7 / 20</gadget>
<output>7/20 = around 0.35</output>
<gadget id="calculator">9 / 20</gadget>
<output>9/20 = around 0.45</output>
<gadget id="calculator">1 - (7/20) - (9/20)</gadget>
<output>1/5 = around 0.2</output>
<result>1/5 = around 0.2</result> | 1/5 | calc |
ape210k__01080387 | There are 20 people who have contracted a bus. When it was time to leave, it was found that there were 4 more people, so each person paid 3 yuan less than the scheduled price. How much did it cost to contract this bus? | <gadget id="calculator">3 * 20</gadget>
<output>60</output>
<gadget id="calculator">3 * 4</gadget>
<output>12</output>
<gadget id="calculator">60 + 12</gadget>
<output>72</output>
<gadget id="calculator">4 - 20</gadget>
<output>-16</output>
<gadget id="calculator">20 + (-16)</gadget>
<output>4</output>
<gadget id=... | 360 | calc |
aqua_rat__YNyaifg7WmLdGxNK | In a certain pet shop, the ratio of dogs to cats to bunnies in stock is 3 : 7 : 12. If the shop carries 375 dogs and bunnies total in stock, how many dogs are there? Choose the correct choice.
A) 42
B) 66
C) 75
D) 112
E) 154 | Let us assume the number of dogs, cats and bunnies to be 3x, 7x and 12x Total dogs and bunnies = 15x. And we are given that 15x = 375. Hence x = 25. Dogs = 3x = 3*25=
<gadget id="calculator">3*25</gadget>
<output>75</output>
75 (Option 75)
<result>C</result> | C | calc |
aqua_rat__VhpCJn6CHLDXXKMk | Twelve people are planning to share equally the cost of a rental van. If one person withdraws from the arrangement and the others share equally the cost of the rental van, then the share of each of the remaining people will increase by...? Options: A) 1/12 B) 1/8 C) 1/11 D) 12/11 E) 10/11 | Let P = total cost of the rental van. The original share per person is P/12. The new share per person is P/11. P/11 = P/12 * 12/11 = (1 + 1/11)*original share The answer is 1/11.
<result>C</result> | C | calc |
ape210k__00230110 | If you fold the 8 decimeter long rope in half twice, what is its length? | <gadget id="calculator">8 / 4</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
ape210k__00407664 | A book has 204 pages, and I read 29 pages mischievously. The rest will take 5 days to read. How many pages do you read on average per day? | <gadget id="calculator">204 - 29</gadget>
<output>175</output>
<gadget id="calculator">175 / 5</gadget>
<output>35</output>
<result>35</result> | 35 | calc |
ape210k__00095807 | A chicken farm sold 12,300 chickens in April, and 200 chickens were sold in May, twice as much as in April. How many chickens were sold in total in two months? | <gadget id="calculator">12_300 * 2</gadget>
<output>24_600</output>
<gadget id="calculator">24_600 - 200</gadget>
<output>24_400</output>
<gadget id="calculator">24_400 + 12_300</gadget>
<output>36_700</output>
<result>36_700</result> | 36_700 | calc |
ape210k__00030644 | A village needs to harvest 3.6 hectares of wheat, and a total of 2.4 hectares were harvested in the first 3 days. According to this calculation, how many days are left to harvest? | <gadget id="calculator">2.4 / 3</gadget>
<output>0.8</output>
<gadget id="calculator">3.6 / 0.8</gadget>
<output>4.5</output>
<gadget id="calculator">4.5 - 3</gadget>
<output>1.5</output>
<result>1.5</result> | 1.5 | calc |
aqua_rat__q5RvOAfFd640Pqe2 | How many hours are there in 1200 minutes? Choose one
A) 10 B) 20 C) 85 D) 86 E) 88 | We know that there are 60 minutes in 1 hour.Divide the number of minutes by the number of minutes in 1 hour. We get, divide 1200 by 601200 ÷ 60 = 20 So there are 20 hours in 1200 minutes. ANSWER IS 20
<result>B</result> | B | calc |
aqua_rat__ycGZoQr5szh7vlEx | What is the product of all the prime factors of 14? Answers: A) 13 B) 12 C) 14 D) 11 E) 10 | factors : 2,7 2*7=
<gadget id="calculator">2*7</gadget>
<output>14</output>
14 Answer : 14
<result>C</result> | C | calc |
aqua_rat__jW5OVbDbvAnHeTQ7 | In 2008, a certain factory produced 20% more widgets than it did in 2007, and its production in 2009 was 120% of its production in 2008. By approximately what percent would its production need to decrease the following year for the factory to produce the same number of widgets it did in 2007? Choose the correct choice ... | Let P be the original level of production in 2007. Let x be the rate of production in 2010 compared to 2009. x*1.2*1.2*P = P x = 1/1.44 = 0.6944 which is a decrease of about 31%. The answer is 31%.
<result>A</result> | A | calc |
aqua_rat__BBBYDGa4sBrKbmcE | The traffic lights at 3 different roads change after every 48 sec, 72 sec, 108 sec respectively. If they all change simultaneously at 9:15 AM then at what time will they again change simultaneously. Pick:
A) 9:22:12 B) 9:42:15 C) 10:15:24 D) 9:54:12 E) 10:01:20 | LCM of 48,72,108 = 432 = 7mnts 12sec The lines will change every 7m 12sec The light will change again after 9:15 9:22:12M is = 9:15+0:07:12 = 9:22:12 9:22:12nswer is 9:22:12
<result>A</result> | A | calc |
ape210k__00350889 | 315*8-260=how much | <gadget id="calculator">315 * 8</gadget>
<output>2_520</output>
<gadget id="calculator">2_520 - 260</gadget>
<output>2_260</output>
<result>2_260</result> | 2_260 | calc |
aqua_rat__CKZpBl03THTKEvna | Two trains are moving in opposite direction @ 60 kmph and 90 kmph.Their lengths are 1.10 km and 0.9 km respectively.The time taken by the slower train to cross the faster train in seconds is Options
A) 36 B) 45 C) 48 D) 49 E) 50 | R.S = (60+90)kmph => (150*5/18)m/sec => (125/3)m/sec Distance covered = (1.10 + 0.9) km = (2*1000)=
<gadget id="calculator">(2*1000)</gadget>
<output>2_000</output>
2000 m. Required time= (2000 * 3/125)=
<gadget id="calculator">(2000 * 3/125)</gadget>
<output>48</output>
48sec. ANSWER:48
<result>C</result... | C | calc |
ape210k__00717527 | Grandpa is 64 years old this year, Xiao Ming's age is grandpa's (1/8), what is Xiao Ming's age this year? | <gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">64 * (1/8)</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__00945921 | Master Zhang binds 3 straight cylinders with a diameter of 10 centimeters together with a rope (not counting the joints), how many centimeters of iron wire do the 3 straight cylinders need for a week? | <gadget id="calculator">3.14 * 10</gadget>
<output>31.4</output>
<gadget id="calculator">10 * 4</gadget>
<output>40</output>
<gadget id="calculator">31.4 + 40</gadget>
<output>71.4</output>
<result>71.4</result> | 71.4 | calc |
aqua_rat__LBJaO42xwbTwNPSc | A group of 6 members to be made from 8 boys and 6 girls. How many ways of forming group provided that there will be exactly 3 boys? Choose the correct choice from the following answers.
A) 1110
B) 1120
C) 1130
D) 1140
E) 1150 | 3 boys out of 8 boys & 3 girls out of 6 girls bcz total 6 member of a group where exactly 3 boys. 8C3*6C3= 8!/(5!3!) * 6!/(3!3!)= 56*20=
<gadget id="calculator">56*20</gadget>
<output>1_120</output>
1120 ANSWER:1120
<result>B</result> | B | calc |
aqua_rat__5dpVm8XJMjizDcd7 | A pump can fill a tank with water in 6 hours. Because of a leak, it took 12 hours to fill the tank. The leak can drain all the water in ?
Choose the correct choice from the following choices.
A) 12hr B) 11hr C) 13hr D) 14hr E) 16hr | Work done by the leak in 1 hour = 1/6 - 1/12 = 1/12 Leak will empty the tank in 12 hours 12hrnswer is 12hr
<result>A</result> | A | calc |
ape210k__00458569 | A square steel billet with a side length of 14 cm is forged into a rectangular steel plate with a length of 4 decimeters and a width of 2 decimeters. How thick is this steel plate? (loss not counted) | <gadget id="calculator">14 / 10</gadget>
<output>7/5 = around 1.4</output>
<gadget id="calculator">4 * 2</gadget>
<output>8</output>
<gadget id="calculator">(7/5) / 8</gadget>
<output>7/40 = around 0.175</output>
<gadget id="calculator">(7/5) * (7/5) * (7/40)</gadget>
<output>343/1_000 = around 0.343</output>
<resu... | 343/1_000 | calc |
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