id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
aqua_rat__ELbjppd0gygyXDik | If f(a)=4a+6b+8, what is the value of (f(3a)-f(2b)) ? Select the correct option
A) 6a+8b+6 B) 8a-6b C) 5a+3b-8 D) 6a+7b+3 E) 8a-2b+9 | f(a)=4a+6b+8 f(3a) = 12a+6b+8 f(2b) = 4a+12b+8 (f(3a)-f(2b)) = 12a+6b+8-4a-12b-8 = 8a-6b Answer is 8a-6b
<result>B</result> | B | calc |
aqua_rat__GoIBBn3VmLP0bgG8 | The sum of ages of 5 children born at the intervals of 2 years each is 55 years. What is the age of the youngest child? Options:
A) 4
B) 7
C) 6
D) 9
E) 8 | Let the ages of children be x, (x + 2), (x + 4), (x + 6) and (x + 8) years. Then, x + (x + 2) + (x + 4) + (x + 6) + (x + 8) = 50 5x = 55-20=
<gadget id="calculator">55-20</gadget>
<output>35</output>
35 x= 7. Age of the youngest child = x = 7 years. Answer:7
<result>B</result> | B | calc |
ape210k__00377358 | The road construction team plans to build a road with a length of 2,400 meters. It has been repaired for 6 days, and 250 meters are repaired every day. How many meters are left to be repaired? | <gadget id="calculator">250 * 6</gadget>
<output>1_500</output>
<gadget id="calculator">2_400 - 1_500</gadget>
<output>900</output>
<result>900</result> | 900 | calc |
ape210k__00282618 | There is a rectangular vegetable field, the length of one side is 8 meters, and the length of the adjacent side is 10 meters. If it is planned to dig a water channel with a width of 1 meter around the vegetable field, what is the outer perimeter of the water channel in meters? ? | <gadget id="calculator">10 + 1 + 1 + 8 + 1 + 1</gadget>
<output>22</output>
<gadget id="calculator">22 * 2</gadget>
<output>44</output>
<result>44</result> | 44 | calc |
aqua_rat__1MaRIy7jM3LqIftT | A man travels from A to B at a speed of 30 kmph and returns with a speed of 60 kmph. What is the average speed of the man? Choose the correct choice from the following answers: A) 47.5 B) 50 C) 45 D) 40 E) 30 | Explanation: The average speed ‘v’, when a man travels two same distance with different speeds ‘v1’ and ‘v2’ is: v = (2*v1*v2) / (v1 + v2) In the above problem, v1 = 30 and v2 = 60 Therefore, v = (2*30*60)/(30 + 60) = 3600/90=
<gadget id="calculator">3600/90</gadget>
<output>40</output>
40 ANSWER 40
<result>... | D | calc |
aqua_rat__GpKBumu6xAMGVy95 | If n is the smallest integer such that 54 times n is the square of an integer, what is the value of n? Choose one: A) 2 B) 1 C) 6 D) 12 E) 24 | 54 can written as = 2 * 3 * 3 * 3 --> 2^1 * 3^3 ---(1) so for 54 * n to be a square of an integer, the integer should have even powers to the prime numbers it composed of. here 2 already has even power -> So n has to be 2 to make the power of 1 in (1) even Option 1 is correct
<result>B</result> | B | calc |
ape210k__00781777 | Two big red flags have been planted at both ends of the 100-meter-long runway, and the teacher asked them to line up with small colored flags at intervals of 5 meters. | <gadget id="calculator">100 / 5</gadget>
<output>20</output>
<gadget id="calculator">20 - 1</gadget>
<output>19</output>
<result>19</result> | 19 | calc |
aqua_rat__F6OM9Kyyv4JyB4i2 | The ratio of the ages of Mini and Minakshi is 4 : 3. The sum of their ages is 35 years. The ratio of their ages after 8 years will be
Answers
A) 28 : 23 B) 6 : 11 C) 5 : 4 D) 3 : 5 E) 7 : 11 | Let Mini’s age = 4x and Minakshi’s age = 3x Then 4x + 3x= 35 x = 5 Mini’s age = 20 years 28 : 23nd Minakshi’s age = 15 years Ratio of their ages after 8 years = (20 + 8) : (15 + 8) = 28 : 23 28 : 23NSWER:28 : 23
<result>A</result> | A | calc |
ape210k__00779203 | Make a rectangular hole in the center of the front, back, top, and left sides of a cube. It is known that the side length of the cube is 8 cm, and the openings on the front, back, top, bottom, and left and right sides are squares with a side length of 3 cm. Find the remaining volume. | <gadget id="calculator">8 ** 3</gadget>
<output>512</output>
<gadget id="calculator">3 * 3 * 8 * 3</gadget>
<output>216</output>
<gadget id="calculator">512 - 216</gadget>
<output>296</output>
<gadget id="calculator">3 * 3 * 3 * 2</gadget>
<output>54</output>
<gadget id="calculator">296 + 54</gadget>
<output>350</o... | 350 | calc |
aqua_rat__1wktKPmsWgoapuNX | In the rectangular coordinate system Point O has coordinates (0,0) and Point B has coordinates (6,6) and if point A is equidistant from points O and B and the area of the triangle OAB is 16, which of the following are the possible coordinates of point A.
Options:
A) (-2,6) B) (0,4) C) (2,-6) D) (2,6) E) (4,8) | Area.pngSince A is equidistant from points O and B, then it must be somewhere on the green line (perpendicular bisector of OB). (2,-6) and (2,6) are not on that line. If A is at (0,6) or (6,0), then the area is 1/2*6*6=
<gadget id="calculator">1/2*6*6</gadget>
<output>18</output>
18. Thus A must be at (4,8). Answe... | E | calc |
ape210k__00971879 | If 2 times of a number plus 6 is not greater than 4 times of this number minus 4, what is the value range of this number? | <result>5</result> | 5 | calc |
ape210k__00031106 | When Xiao Ming was doing an addition, he mistakenly left out the single digit zero of an addend, and the result was 405 less than the correct result. What is this addend. | <gadget id="calculator">10 - 1</gadget>
<output>9</output>
<gadget id="calculator">405 / 9</gadget>
<output>45</output>
<gadget id="calculator">45 * 10</gadget>
<output>450</output>
<result>450</result> | 450 | calc |
ape210k__00970979 | To build a road, A repairs the whole road (1/4), and B repairs the rest (2/3). A and B have built a total of 42 meters. How long is this road in meters? | <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">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(3/4) * (2/3)</gadget>
<output>1/2 = around 0.5</output>
<gadg... | 56 | calc |
math_qa__xbr2aHbPUQrcTTR6 | A reduction in the price of petrol by 10% enables a motorist to buy 5 gallons more for $300. Find the original price of petrol? Choose the correct choice:
A) $ 11 B) $ 5 C) $ 45 D) $ 400 E) $ 6.6 | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 - (1/10)</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">(9/10) * 300</gadget>
<output>270</output>
<gadget id="calculator">300 - 270</gadget>
<output>30</output>
<gadget id="calculator">1 / 2<... | E | calc |
aqua_rat__XXWBfcKhjnxTV4Hn | 337.62+5.628+33.4=? Choices.
A) 376.648 B) 112.6 C) 258.69 D) 5874.3 E) 269.88 | 337.62 5.628 33.4 ---------- 376.648 376.648nswer is 376.648
<result>A</result> | A | calc |
aqua_rat__be5C0KjfYQlSelM8 | How many possible integer values are there for x if |7x - 3| < 6 ? Options: A) One B) Two C) Three D) Four E) Five | Solution: |7x-3| < 6 let 7x=a therefore we have |a-3| < 6 ==> read this as origin is at +3 and we have to move +6 to the right and -6 to the left (the less than sign represents that the a must be within boundaries ) (3-6)----------3----------(3+6) now, we have -3<a<9 but a =7x ==> -3<7x&l... | B | calc |
ape210k__01154809 | There are two small rods of 6 cm and 5 cm. If one is to be matched to form a triangle, the length of this small rod must be at least greater than how many centimeters. | <gadget id="calculator">6 - 5</gadget>
<output>1</output>
<result>1</result> | 1 | calc |
ape210k__00282136 | When x=15, what is the value of 2x-24. | <gadget id="calculator">2 * 15</gadget>
<output>30</output>
<gadget id="calculator">30 - 24</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
aqua_rat__F4dNNnMPXnryJoeP | A man's speed with the current is 16 km / hr and the speed of the current is 2 km / hr. The man's speed against the current is Choose the correct answer
A) 8.5 km / hr B) 9 km / hr C) 12 km / hr D) 12.5 km / hr E) None | Sol. Man's rate in still in water = (16 - 2) km / hr = 14 km / hr. Man's rate against the current = (14 - 2) km / hr = 12 km / hr. Answer 12 km / hr
<result>C</result> | C | calc |
aqua_rat__KV9tsBe3vgDStPMB | Jackie has two solutions that are 4 percent sulfuric acid and 12 percent sulfuric acid by volume, respectively. If these solutions are mixed in appropriate quantities to produce 60 liters of a solution that is 5 percent sulfuric acid, approximately how many liters of the 4 percent solution will be required? Choices: A)... | let a=amount of 4% acid and b= amount of 12% acid. Now, The equation translates to, 0.04a + .12b = .05(a+b) but a+b= 60 therefore .04a + .12b = .05(60) => 4a + 12b = 300 but b=60-a therefore 4a+ 12(60-a) = 300 => 16a = 420 hence a = 26.25. Answer : 26.25
<result>E</result> | E | calc |
math_qa__vB8GHAeVcKAPHFtD | The banker's gain on a sum due 6 years hence at 12% per annum is Rs. 612. What is the banker's discount? Choose the correct choice from the following:
A) 1240
B) 1120
C) 1190
D) 1462
E) none of these | <gadget id="calculator">612 * 100</gadget>
<output>61_200</output>
<gadget id="calculator">12 * 6</gadget>
<output>72</output>
<gadget id="calculator">61_200 / 72</gadget>
<output>850</output>
<gadget id="calculator">612 + 850</gadget>
<output>1_462</output>
<result>D</result> | D | calc |
ape210k__00707431 | A rectangular glass tank with a length of 50 cm, a width of 40 cm, and a height of 30 cm is filled with water at a depth of 20 cm, and a block of iron (fully submerged) is placed in it. At this time, the depth of the water is 25 cm. What is the volume of the block of iron in cubic centimeters? | <gadget id="calculator">25 - 20</gadget>
<output>5</output>
<gadget id="calculator">50 * 40 * 5</gadget>
<output>10_000</output>
<result>10_000</result> | 10_000 | calc |
aqua_rat__wJFqStR2Itfhqd6j | From January 1, 1991, to January 1, 1993, the number of people enrolled in health maintenance organizations increased by 10 percent. The enrollment on January 1, 1993, was 45 million. How many million people, to the nearest million, were enrolled in health maintenance organizations on January 1, 1991 ?
Choose the corre... | 1.10x=45 --> 11/10*x=45 --> x=45*10/11=450/11=~41. Answer: 41.
<result>D</result> | D | calc |
aqua_rat__oYBtQ7RrYpaDCwVt | Here is 15 dots. If you select 3 dots randomly, what is the probability that 3 dots make a triangle? Choices.
A) 440/455
B) 412/455
C) 434/455
D) 449/455
E) 438/455 | Total ways of selecting 3 dots out of 15 is 15C3 = 455 If 3 dots are collinear then triangle may not be formed. Now look at the above diagram. If we select any 3 dots from the red lines they may not form a triangle. They are 3 x 5C3 = 30. If we select the three letters from blue lines, they may not form a triangle. The... | B | calc |
ape210k__00230205 | What is the reciprocal of 0.4. | <gadget id="calculator">1 / 0.4</gadget>
<output>2.5</output>
<result>2.5</result> | 2.5 | calc |
ape210k__00804135 | The circumference of the base of a cylinder is 125.6 decimeters and the height is 9 decimeters. What is its volume? | <gadget id="calculator">125.6 / 3.14 / 2</gadget>
<output>20</output>
<gadget id="calculator">20 ** 2</gadget>
<output>400</output>
<gadget id="calculator">3.14 * 400 * 9</gadget>
<output>11_304</output>
<result>11_304</result> | 11_304 | calc |
ape210k__00908709 | Xiao Ming deposits 400 yuan in the bank with a deposit period of two years and an annual interest rate of 4.5%. How much can he get back the principal and interest after maturity? | <gadget id="calculator">4.5 / 100</gadget>
<output>0.045</output>
<gadget id="calculator">400 * 0.045 * 2</gadget>
<output>36</output>
<gadget id="calculator">400 + 36</gadget>
<output>436</output>
<result>436</result> | 436 | calc |
ape210k__00139689 | Xiao Ming swam 2 times in the swimming pool today. The length of the swimming pool is 200 meters. How many meters did he swim in total? | <gadget id="calculator">200 * 4</gadget>
<output>800</output>
<result>800</result> | 800 | calc |
ape210k__00632065 | 5.5 meters of iron wire, use up (3/5) of the full length, and leave the full length ((())/(())), how many meters are left. | <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">5.5 * (2/5)</gadget>
<output>2.2</output>
<result>2.2</result> | 2.2 | calc |
ape210k__00345770 | 20% of a number is 3 less than its (1/3), what is this number? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/3) - (1/5)</gadget>
<output>2/15 = around 0.133333</output>
<gadget id="calculator">3 / (2/15)</gadget>
<output>45/2 = around 22.5</outp... | 45/2 | calc |
ape210k__00682699 | Nan Nan's family paid 22.8 yuan for water and electricity in September, which was 1.2 times that of August. How much is Nan Nan's family paying for water and electricity in August? | <gadget id="calculator">22.8 / 1.2</gadget>
<output>19</output>
<result>19</result> | 19 | calc |
ape210k__00117225 | Among the 2012 natural numbers 1---2012, how many are square numbers but not cubic numbers? | <gadget id="calculator">44 - 3</gadget>
<output>41</output>
<result>41</result> | 41 | calc |
aqua_rat__RAoWbBasCAKtZFPq | Set R is composed of nine numbers, labeled R1 through R9. Set S is also composed of nine numbers, labeled S1 through S9. Set S is defined as follows: S1 = 1 + R1; S2 = 2 + R2; and so on, including S9 = 9 +R9. How much larger is the sum of set S's mean and range than the sum of set R's mean and range?
Choose the correct... | Yes, the correct answer is cannot be determined
<result>B</result> | B | calc |
ape210k__00478651 | If the perimeter of a square is 60 centimeters, what is its area in square centimetres? | <gadget id="calculator">60 / 4</gadget>
<output>15</output>
<gadget id="calculator">15 * 15</gadget>
<output>225</output>
<result>225</result> | 225 | calc |
gsm8k__SLSwhaX4lzGTTqJI | If you buy 2 packs of 500 mL milk, it will cost $2.50. If you buy them individually, they will cost $1.30 each. How much is your total savings from buying ten sets of 2 packs of 500 mL milk? | The price per 500 mL milk from the 2 packs is $2.50/2 = $
<gadget id="calculator">2.5/2</gadget>
<output>1.25</output>
1.25.
This means that for each pack of 500 mL milk, you can save $1.30 - $1.25 = $0.05.
Ten sets of 2 packs mean 10 x 2 =
<gadget id="calculator">10*2</gadget>
<output>20</output>
20 packs of 500 mL o... | 1 | calc |
gsm8k__b0OV2sW8kgz9uF9Q | It’s spring! The gardener at Parc Municipal orders flowers. He takes 250 tulips, 375 carnations and 320 roses. Each flower is sold for 2€. Calculate the total expenses. | First we calculate the number of flowers: 250 + 375 + 320 =
<gadget id="calculator">250+375+320</gadget>
<output>945</output>
945€
Then the expense: 945 X 2 =
<gadget id="calculator">945*2</gadget>
<output>1_890</output>
1890€
So, the total expenditure is €
<gadget id="calculator">1890</gadget>
<output>1_890</output>... | 1_890 | calc |
math_qa__kwMHrJGYA17HMbtl | In a 100m race, Sam beats John by 6 seconds. On the contrary, if Sam allowed John to start 36m ahead of Sam, then Sam and John reach the finishing point at the same time. How long does Sam take to run the 100m race? Choose the correct choice from the following choices:
A) 10.66 seconds B) 25 seconds C) 29 seconds D) 21... | <gadget id="calculator">100 - 36</gadget>
<output>64</output>
<gadget id="calculator">64 / 6</gadget>
<output>32/3 = around 10.666667</output>
<result>A</result> | A | calc |
ape210k__00565771 | The radius of the top of a round coffee table is 0.5 meters, what is its area in square meters? | <gadget id="calculator">0.5 ** 2</gadget>
<output>0.25</output>
<gadget id="calculator">3.14 * 0.25</gadget>
<output>0.785</output>
<result>0.785</result> | 0.785 | calc |
ape210k__00996047 | A project can be completed by teams A and B in 48 days. After 8 days of joint work, it takes 60 days for Team B to complete the project alone. How many days will it take for Team A to complete the project alone? | <gadget id="calculator">1 / 48</gadget>
<output>1/48 = around 0.020833</output>
<gadget id="calculator">(1/48) * 8</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">1 - (1/6)</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">(5/6) / 60</gadget>
<output>1/72 = around 0.0138... | 144 | calc |
ape210k__00830305 | Xiaoli climbs a mountain. The whole distance from the bottom to the top of the mountain is 8.4 kilometers. Her speed of going up the mountain is 2 kilometers per hour, and her speed of going down the mountain is 3 kilometers per hour. Find Xiaoli's average speed of going up and down the mountain. | <gadget id="calculator">8.4 / 2</gadget>
<output>4.2</output>
<gadget id="calculator">8.4 / 3</gadget>
<output>2.8</output>
<gadget id="calculator">4.2 + 2.8</gadget>
<output>7</output>
<gadget id="calculator">2 / 7</gadget>
<output>2/7 = around 0.285714</output>
<gadget id="calculator">8.4 * (2/7)</gadget>
<output... | 2.4 | calc |
ape210k__00174498 | If a is a natural number greater than 0, then the largest number in the following formulas is a/how many | <gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<result>4/5 = around 0.8</result> | 4/5 | calc |
aqua_rat__CuHEH4BwWA9aHwX3 | How many two letter words are formed using the letters of the word MICKY?
Choose one: A) 28 B) 21 C) 26 D) 20 E) 29 | The number of letters in the given word is four. The number of three letter words that can be formed using these four letters is 5P2 = 5 * 4=
<gadget id="calculator">5 * 4</gadget>
<output>20</output>
20. Answer: 20
<result>D</result> | D | calc |
ape210k__00294169 | 0.05+(1/25)= | <gadget id="calculator">1 / 25</gadget>
<output>1/25 = around 0.04</output>
<gadget id="calculator">0.05 + (1/25)</gadget>
<output>0.09</output>
<result>0.09</result> | 0.09 | calc |
ape210k__01030887 | The current price of a kind of children's clothing is 150 yuan, which is 50 yuan lower than the original price. | <gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<result>1/4 = around 0.25</result> | 1/4 | calc |
ape210k__00306539 | A glass factory entrusts a transportation company to transport 2,000 pieces of glass. The transportation fee for each piece is 0.4 yuan. If one piece is damaged, the compensation is 7 yuan. As a result, the transportation company has to pay 711.2 yuan for transportation. How many pieces of glass did the transportation ... | <gadget id="calculator">2_000 * 0.4</gadget>
<output>800</output>
<gadget id="calculator">800 - 711.2</gadget>
<output>88.8</output>
<gadget id="calculator">7 + 0.4</gadget>
<output>7.4</output>
<gadget id="calculator">88.8 / 7.4</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
gsm8k__bOEw3w0DiRs7Ig5Z | A pack of dogs found a pile of bones in the dumpster behind the butcher shop. One by one, the dogs crawled into the dumpster, grabbed a mouthful of bones, and ran off with their newfound treasure. In all, there were 5 dogs. The first dog carried off 3 bones. The second dog carried off 1 less bone than the first dog... | The second dog carried off 1 less bone than the first dog, or 3-1=
<gadget id="calculator">3-1</gadget>
<output>2</output>
2 bones.
The third dog carried off twice as many bones as the third dog, or 2*2=
<gadget id="calculator">2*2</gadget>
<output>4</output>
4 bones.
The fifth dog carried off twice the number of bones... | 12 | calc |
ape210k__00114196 | The school assigned the task of planting 560 trees to each class according to the number of students in the three classes of the sixth grade. The first class has 47 people, the second class has 45 people, and the third class has 48 people. How many trees should the second class plant? | <gadget id="calculator">47 + 45 + 48</gadget>
<output>140</output>
<gadget id="calculator">45 / 140</gadget>
<output>9/28 = around 0.321429</output>
<gadget id="calculator">560 * (9/28)</gadget>
<output>180</output>
<result>180</result> | 180 | calc |
ape210k__00922151 | Xiaohong reads a 100-page story book, and has already read (3/5), how many pages are left? | <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">100 * (2/5)</gadget>
<output>40</output>
<result>40</result> | 40 | calc |
math_qa__Jbqu9tQ0rOzDtasi | A volume of 10976 l water is in a container of sphere. How many hemisphere of volume 4l each will be required to transfer all the water into the small hemispheres? Select the correct option:
A) 2812
B) 8231
C) 2734
D) 2744
E) 4254 | <gadget id="calculator">10_976 / 4</gadget>
<output>2_744</output>
<result>D</result> | D | calc |
aqua_rat__7OqIWT4DVEVUf91F | Four years ago, P was half of Q's age. If the ratio of their present ages is 3:4 what will be the total of their present ages?
Pick: A) 14 B) 17 C) 29 D) 31 E) 35 | Let present age of P and Q be 3x3x and 4x4x respectively. Ten years ago, P was half of Q's age ⇒(3x−4)=1/2(4x−4) ⇒6x−8=4x−4 ⇒2x=4 ⇒x=2 Total of their present ages =3x+4x=7x3 +4=
<gadget id="calculator">3 +4</gadget>
<output>7</output>
7x=7×2=14 14
<result>A</result> | A | calc |
ape210k__00889257 | Xiao Lin and his father spent 70 yuan to buy 2 football tickets to watch football because there were too many people. They can only sit in No. 149 and No. 150 in the 55th row at the end. How much is the maximum income from ticket sales for this football game? | <gadget id="calculator">70 / 2</gadget>
<output>35</output>
<gadget id="calculator">150 * 35 * 55</gadget>
<output>288_750</output>
<result>288_750</result> | 288_750 | calc |
ape210k__00183689 | Calculation: 1997+1996+1004+1006+1994+1003=how much. | <gadget id="calculator">1_997 + 1_996 + 1_004 + 1_006 + 1_994 + 1_003</gadget>
<output>9_000</output>
<result>9_000</result> | 9_000 | calc |
aqua_rat__gsZUGL99bgps8ekj | 12 times a number gives 156. The number is
Pick:
A) 11 B) 12 C) 13 D) None E) Cannot be determined | Explanation: Let the number be 'N' 12×N=156⇒N=13 13orrect Option: 13
<result>C</result> | C | calc |
aqua_rat__7sWLekTfX6b5s0W8 | Machine A takes 20 hours to complete a certain job and starts that job at 6AM. After four hour of working alone, machine A is joined by machine B and together they complete the job at 1PM. How long would it have taken machine B to complete the job if it had worked alone for the entire job?
Choose one: A) 9.99 B) 3,61... | Let us assume total job = 100 units A finishes 100 units in 20 hrs(given) Hence A (working rate)= 5 units /hr Now Given that A works for 4 hr( so 20 units done) then A and B finish total work in 7 hours. Hence A and B finish 80 units in 3 hours. Of these 3x5=15 units were done by A. Hence B did 65 units in 3 hour... | D | calc |
gsm8k__HTecQdbGq1s2NwE7 | Megan went to the store and bought a dozen eggs. When she got home, her neighbor gave her another dozen eggs from her chickens. Megan used 2 eggs to make an omelet for dinner and 4 eggs to bake a cake. When Megan's aunt came over for a visit, Megan gave her half of her remaining eggs. How many eggs per meal would Megan... | Megan has 12 + 12 =
<gadget id="calculator">12+12</gadget>
<output>24</output>
24 eggs.
After making her omelet and cake, she was left with 24 - 2 - 4 =
<gadget id="calculator">24-2-4</gadget>
<output>18</output>
18 eggs.
After giving half to her aunt, she was left with 18/2 =
<gadget id="calculator">18/2</gadget>
<... | 3 | calc |
math_qa__0XYxZGOm8cfJUp2X | If a certain coin is flipped, the probability that the coin will land heads is 1/2. If the coin is flipped 5 times, what is the probability that it will land heads up on the first flip but not on the last 4 flips? Choose the correct choice from the following answers
A) 1 / 4
B) 1 / 8
C) 1 / 16
D) 1 / 32
E) 1 / 64 | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) ** 5</gadget>
<output>1/32 = around 0.03125</output>
<result>D</result> | D | calc |
ape210k__00239397 | 8 kilograms of flour, eat (3/4) of it, how many kilograms are left. | <gadget id="calculator">3 / 4</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">8 * (1/4)</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
ape210k__00859417 | A construction team transported 40 tons of cement to the construction site, and used 25% of this batch of cement in 5 days. According to this calculation, how many days can this batch of cement be used in total? | <gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/4) / 5</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">1 / (1/20)</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
aqua_rat__nf6ETNoMAmkAkg03 | In a chess competition involving some men and women, every player needs to play exactly one game with every other player. It was found that in 45 games, both the players were women and in 190 games, both players were men. What is the number of games in which one person was a man and other person was a woman? Choices.
A... | This is similar to handshake problem, If there are NN people, then number of handshakes = 1+2+...N=N∗(N−1)/2 No. of Women be xx and given x∗(x−1)/2=45 This gives x=10 |||y No. of Men : solve y∗(y−1)/2=190. This gives y=20 so total Men vs. Women = 10*20=
<gadget id="calculator">10*20</gadget>
<output>200</output>... | D | calc |
ape210k__00477001 | The perimeter of a square vegetable field is 13.6 meters, what is its area in square meters? | <gadget id="calculator">13.6 / 4</gadget>
<output>3.4</output>
<gadget id="calculator">3.4 * 3.4</gadget>
<output>11.56</output>
<result>11.56</result> | 11.56 | calc |
math_qa__r7M0ojOHwp3KuY7q | If 9 parallel lines in a plane is intersected by a family of another 8 parallel lines, how many parallelograms are there in the network thus formed? Pick one
A) 80 B) 63 C) 120 D) 1008 E) 1260 | <gadget id="calculator">9 - 1</gadget>
<output>8</output>
<gadget id="calculator">9 * 8</gadget>
<output>72</output>
<gadget id="calculator">72 / 2</gadget>
<output>36</output>
<gadget id="calculator">8 - 1</gadget>
<output>7</output>
<gadget id="calculator">8 * 7</gadget>
<output>56</output>
<gadget id="calculato... | D | calc |
aqua_rat__Hm3KF69vjaqu152K | 1.A committee that includes 6 members is about to be divided into 2 subcommittees with 3 members each. On what percent of the possible subcommittees that Michael is a member of is David also a member Select the correct option: A) A.10% B) B.20% C) C.25% D) D.46% E) E.50% | A,B, C is too low so I eliminated those answers, E was too high of a number, so I chose D.46% as my final answer.D.46%
<result>D</result> | D | calc |
aqua_rat__t6us0aFrM9uCj4cV | Choose the missing terms out of the given alternatives.
QPO, SRQ, UTS, WVU, ? Choose the correct choice from the following options: A) XVZ B) ESD C) ZYA D) VWX E) YXW | E YXW Each term consists of three consecutive letters in reverse order. The first letter and the last letter of the next term are the same.
<result>E</result> | E | calc |
aqua_rat__V7RzN6CBC9YvYgWV | A right triangle STU has an area=30. If the longest side of the triangle is SU and value of ST=5. What are the lengths of sides TU and SU?
Pick one:
A) 12, 13
B) 5, 13
C) 24, 26
D) 12, 24
E) None of the above | Area=30 and ST=5. By applying Area=STxTU, we get that TU=12, which is the first part of our answer. By Pythagorean Theorem, we can now find the value of SU since we have value of ST and we found value of TU. So the correct answer is 12, 13.
<result>A</result> | A | calc |
ape210k__00438584 | 800ml of water is divided into the same small cups, which can exactly fill 10 cups. What is the capacity of each small cup in milliliters? | <gadget id="calculator">800 / 10</gadget>
<output>80</output>
<result>80</result> | 80 | calc |
ape210k__00054062 | The grain store brought in 920 kilograms of rice, sold 360 kilograms on the first day, and sold 340 kilograms on the second day, how many kilograms of rice are left now? | <gadget id="calculator">360 + 340</gadget>
<output>700</output>
<gadget id="calculator">920 - 700</gadget>
<output>220</output>
<result>220</result> | 220 | calc |
aqua_rat__JQXndF9DQycRWiEO | The value of x is to be randomly selected from the integers from 1 to 6, inclusive, and then substituted into the equation y = x^2 - 4x + 3. What is the probability that the value of y will be negative? Choose the correct choice from the following answers: A) 1/3 B) 1/4 C) 1/5 D) 1/6 E) 1/7 | y will only be negative for x=2. (We can check the values from 1 to 6 to be certain.) P(y is negative) = 1/6 The answer is 1/6.
<result>D</result> | D | calc |
aqua_rat__mMlwAHXQtxvImti7 | Bob travels at an average speed of 12km/h, to the school and then return to the home he travels at an average speed of 10km/h. Which of the following is the closest approximation of Bob's average speed, in kilometers per hour, for the trip? Select
A) 6.3 B) 2.9 C) 15.2 D) 10.9 E) 9.1 | Since we're not given a distance to work with, we can TEST any distance that we like. Here, since the speeds are 12 km/hour and 10 km/hour, using a multiple of both 12 and 10 would make the math easiest. Let's set the Distance up the hill at 60 km. So, going school, we have.... D = (R)(T) 60 = (5)(T) 60/12=
... | D | calc |
ape210k__00178364 | The average of three numbers is 18, two of which are 10 and 24 respectively, what is the third number | <gadget id="calculator">18 * 3</gadget>
<output>54</output>
<gadget id="calculator">54 - 10 - 24</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
aqua_rat__WGN9KHqVUdwOcPHO | In how many years will a sum of money doubles itself at 10% per annum on simple interest?
Choose the correct choice from the following.
A) 70%
B) 20%
C) 10%
D) 28%
E) 20% | P = (P*10*R)/100 R = 10% Answer:10%
<result>C</result> | C | calc |
ape210k__00905383 | A road repairing team repairs a road, the first week repairs the full length (1/4), the second week repairs the full length (1/3), the second week repairs 600 meters more than the first week, the total length of this road How much rice? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/3) - (1/4)</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">600 / (1/12)</gadget>
<output>7_200</output>
<result>... | 7_200 | calc |
ape210k__00627383 | A piece of cake, Mingming ate (2/6) of it, but Wang Gang ate (3/6) of it, who ate more? How much of the cake was eaten? | <gadget id="calculator">2 / 6</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">3 / 6</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/3) + (1/2)</gadget>
<output>5/6 = around 0.833333</output>
<result>5/6 = around 0.833333</result> | 5/6 | calc |
ape210k__00046383 | There are 2 yuan and 5 yuan of RMB, how many ways are there to make up 100 yuan? | <result>11</result> | 11 | calc |
aqua_rat__77YWJYznbQwjhcDa | Johnson has a corporate proposal. The probability that vice-president Adams will approve the proposal is 0.7. The probability that vice-president Baker will approve the proposal is 0.4. The probability that vice-president Corfu will approve the proposal is 0.4. The approvals of the three VPs are entirely independent of... | probability of adams approval = 0.7 baker approval =0.4 corfu approval=0.4 proabability of approval is must adam approval and atleast one approval = adam approval*baker approval*corfu approval(approval of both remaining)+adam approval*baker approval*corfu not approval(atleast one remaining approval)+ adam app... | C | calc |
math_qa__Vht0vUDP4Beh0cB5 | A computer store offers employees a 15% discount off the retail price. If the store purchased a computer from the manufacturer for $500 dollars and marked up the price 15% to the final retail price, how much would an employee save if he purchased the computer at the employee discount (15% off retail price) as opposed t... | <gadget id="calculator">500 * 15</gadget>
<output>7_500</output>
<gadget id="calculator">7_500 / 100</gadget>
<output>75</output>
<gadget id="calculator">75 + 500</gadget>
<output>575</output>
<gadget id="calculator">500 / 100</gadget>
<output>5</output>
<gadget id="calculator">5 * 2</gadget>
<output>10</output>
<... | D | calc |
ape210k__00538427 | A grain pile is conical, 1.5 meters high, and the length of a circle around the bottom of the grain pile is 31.4 meters. If each cubic meter of grain weighs 0.5 tons, how many tons does this pile of grain weigh? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">31.4 / 3.14 / 2</gadget>
<output>5</output>
<gadget id="calculator">5 ** 2</gadget>
<output>25</output>
<gadget id="calculator">(1/3) * 3.14 * 25 * 1.5</gadget>
<output>39.25</output>
<gadget id="calculator">39.25 ... | 19.625 | calc |
ape210k__00631102 | The factory sent a car from the factory to the factory manager’s house to pick up the factory manager on time. One day, the factory manager walked to the factory an hour earlier. As a result, on the way to the factory, he encountered a car sent by the factory, so he arrived 10 minutes earlier than usual. factory. Ask h... | <gadget id="calculator">10 / 2</gadget>
<output>5</output>
<gadget id="calculator">60 - 5</gadget>
<output>55</output>
<gadget id="calculator">55 / 5</gadget>
<output>11</output>
<result>11</result> | 11 | calc |
ape210k__00015369 | In a mountaineering competition, Li Ming went uphill at 100 meters per minute and downhill at 150 meters per minute. How many meters does Li Ming walk up and down the mountain on average per minute? | <gadget id="calculator">1 + 1</gadget>
<output>2</output>
<gadget id="calculator">1 / 100</gadget>
<output>1/100 = around 0.01</output>
<gadget id="calculator">1 / 150</gadget>
<output>1/150 = around 0.006667</output>
<gadget id="calculator">(1/100) + (1/150)</gadget>
<output>1/60 = around 0.016667</output>
<gadget... | 120 | calc |
ape210k__00845513 | Xiao Ming collected 77 stamps, and Xiao Li collected 7 less stamps than Xiao Ming (6/7). How many stamps did Xiao Li collect? | <gadget id="calculator">6 / 7</gadget>
<output>6/7 = around 0.857143</output>
<gadget id="calculator">77 * (6/7)</gadget>
<output>66</output>
<gadget id="calculator">66 - 7</gadget>
<output>59</output>
<result>59</result> | 59 | calc |
ape210k__00133005 | When a dice is thrown, what is the probability that the number that lands up is a multiple of 2? | <gadget id="calculator">3 / 6</gadget>
<output>1/2 = around 0.5</output>
<result>1/2 = around 0.5</result> | 1/2 | calc |
gsm8k__zvrNDQcRt89G2L9O | Mary and Ann are going sledding. Mary slides down a hill that's 630 feet long at a speed of 90 feet/minute. Ann slides down a hill that's 800 feet long at a rate of 40 feet/minute. How much longer does Ann's trip take than Mary? | First find the total time Mary's trip takes: 630 feet / 90 feet/minute =
<gadget id="calculator">630/90</gadget>
<output>7</output>
7 minutes.
Then find the total time Ann's trip takes: 800 feet / 40 feet/minute =
<gadget id="calculator">800/40</gadget>
<output>20</output>
20 minutes.
Then subtract Mary's time from A... | 13 | calc |
ape210k__00623782 | It is known that (1/(a))+(1/(b))=1, (1/(a))+(1/(b))+(1/(c))=2.7, then c=what | <gadget id="calculator">10 / 17</gadget>
<output>10/17 = around 0.588235</output>
<result>10/17 = around 0.588235</result> | 10/17 | calc |
ape210k__00235990 | Cuiwei Primary School conducts a group performance. If there are 20 people in each row, 18 rows should be arranged. If there are 15 people in each row, how many rows should be arranged? (Solve with ratio) | <gadget id="calculator">20 * 18</gadget>
<output>360</output>
<gadget id="calculator">360 / 15</gadget>
<output>24</output>
<result>24</result> | 24 | calc |
ape210k__00978465 | What is the area of a large rectangle made of 50 small squares with a side length of 1 cm? | <gadget id="calculator">1 * 1 * 50</gadget>
<output>50</output>
<result>50</result> | 50 | calc |
aqua_rat__oeoHfl6t10T3SatM | In a group of 3 boys and 7 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be selected? Choose the correct choice from the following choices
A) 145 B) 175 C) 205 D) 235 E) 265 | Number of ways to select four children is 10C4 = 210 Number of ways to choose only girls is 7C4 = 35 Number of ways that at least one boy is selected is 210 - 35=
<gadget id="calculator"> 210 - 35</gadget>
<output>175</output>
175 The answer is 175.
<result>B</result> | B | calc |
ape210k__00236577 | Wang Yu is playing a game of designing balloons. The game has two levels, and the number of balloons in the two levels is the same. If the number of balloons Wang Yu hit in the first level is 2 times more than the number of balloons he missed; the number of balloons shot in the second level increased by 8 compared to t... | <gadget id="calculator">6 * 8</gadget>
<output>48</output>
<gadget id="calculator">2 + 8 + 48</gadget>
<output>58</output>
<gadget id="calculator">6 - 4</gadget>
<output>2</output>
<gadget id="calculator">58 / 2</gadget>
<output>29</output>
<gadget id="calculator">4 * 29</gadget>
<output>116</output>
<gadget id="c... | 147 | calc |
ape210k__00997707 | A Rubik's Cube with a side length of 5 cm is completely submerged in a cuboid container (the water does not overflow), and the bottom of the container is a square with a side length of 10 cm. How many centimeters will the water level rise? | <gadget id="calculator">10 * 10</gadget>
<output>100</output>
<gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">5 * 5 * (1/20)</gadget>
<output>5/4 = around 1.25</output>
<result>5/4 = around 1.25</result> | 5/4 | calc |
ape210k__00570038 | Solve the equation: (30/(x))=5. | <gadget id="calculator">30 / 5</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__00054132 | A barrel of oil is poured out in two parts. The whole (1/4) is poured out for the first time, and 75 kg more than the first time is poured out for the second time, how many kilograms are poured out for the first time? | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 - (1/4) - (1/4)</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">75 / (1/2)</gadget>
<output>150</output>
<gadget id="calculator">150 * (1/4)</gadget>
<output>75/2 = around 37.5</output>
<result>75/... | 75/2 | calc |
ape210k__00006345 | Cut a cube with side length 5 cm into smaller cubes with side length 1 cm, how many pieces can be cut? | <gadget id="calculator">5 / 1</gadget>
<output>5</output>
<gadget id="calculator">5 * 5 * 5</gadget>
<output>125</output>
<result>125</result> | 125 | calc |
ape210k__00098743 | Huafu School plans to repaint the 15 classrooms of the sixth grade. Each classroom is 12 meters long, 8 meters wide and 3.5 meters high. How many square meters are there to be painted on the roof and four walls of the classroom (28 square meters of doors, windows and blackboards need to be removed for each classroom)? | <gadget id="calculator">70 - 28</gadget>
<output>42</output>
<gadget id="calculator">96 + 42</gadget>
<output>138</output>
<result>138</result> | 138 | calc |
ape210k__00132542 | In the grade mathematics interest group, there are 25 students who are not in the fourth grade, 26 people who are not in the fifth grade, and a total of 33 people in the fourth and fifth grades participate in the mathematics interest group. How many people participated in the school mathematics interest group? | <gadget id="calculator">26 - 33</gadget>
<output>-7</output>
<gadget id="calculator">25 + (-7)</gadget>
<output>18</output>
<gadget id="calculator">18 / 2</gadget>
<output>9</output>
<gadget id="calculator">9 + 33</gadget>
<output>42</output>
<result>42</result> | 42 | calc |
math_qa__JHQajcgRjf90JKTk | A car gets 40 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 220 kilometers? Choose the correct choice from the following options
A) 4.5 B) 5.5 C) 6.5 D) 7.5 E) 8.5 | <gadget id="calculator">220 / 40</gadget>
<output>11/2 = around 5.5</output>
<result>B</result> | B | calc |
aqua_rat__fMOncxV9EgZvg2S4 | A, B and C invests Rs.6000, Rs.5000 and Rs.3000 in a business. After one year C removed his money; A and B continued the business for two more year. If the net profit after 3 years be Rs.4206, then C's share in the profit is? Choose the correct choice from the following answers:
A) 276 B) 289 C) 400 D) 350.5 E) 300 | 6*36 : 5*36 : 3*12 6: 5: 1 1/12 * 4206=
<gadget id="calculator">1/12 * 4206</gadget>
<output>701/2 = around 350.5</output>
350.50 Answer: 350.5
<result>D</result> | D | calc |
aqua_rat__Et1oMv61cZl9Ca0S | The length of a room is 5.5 m and width is 3.75 m. What is the cost of paying the floor by slabs at the rate of $400 per sq. metre. Options: A) $8250 B) $8350 C) $8650 D) $8450 E) $8500 | Area =5.5×3.75 sq. metre. Cost for 1 sq. metre. = $400 Hence, total cost =5.5×3.75×400= $8250 $8250
<result>A</result> | A | calc |
aqua_rat__P7Vs8lSUj1mbZYz7 | A salesperson receives a base salary of $1000 per month and a commission of 7.5% of the selling price of each item sold above the first 50 item. If this month she sold 530 items for $150 each, what will her monthly salary be? Answers.
A) $1,500 B) $1,800 C) $6,400 D) $2,500 E) $2,800 | Ans : 1000+ 7.5 % * 150 * (530-50) = $ 6400 ANSWER:$6,400
<result>C</result> | C | calc |
aqua_rat__b2eQrIFwVJ40Tiy5 | The average of five numbers is 9. The average of first two numbers is 7 and the average of last two numbers is 12. What is the middle number? Choose the correct choice from the following: A) 7 B) 8 C) 5 D) 10 E) 6 | The total of five numbers = 5x9 = 45 The total of first 2 and last 2 numbers is = 2 X 7+2 X 12 = 38 So, the middle number is (45 - 38 )=
<gadget id="calculator"> (45 - 38 )</gadget>
<output>7</output>
7 7
<result>A</result> | A | calc |
aqua_rat__xaOd92xZngHirHQX | What is the sum of natural numbers between 40 and 100 Choose the correct choice from the following choices:
A) 4800 B) 4270 C) 5000 D) 5500 E) 5550 | a = first number l = last number Sn = n/2[a + l] between 40 and 100 numbers = 61 => 100 - 40=
<gadget id="calculator">100 - 40</gadget>
<output>60</output>
60 + 1=
<gadget id="calculator">60 + 1</gadget>
<output>61</output>
61 Sn= 61/2 × 140 = 61 × 70 = 4270 Answer : 4270
<result>B</result> | B | calc |
ape210k__00004871 | The ratio of the areas of two circles is 3:2, what is the area of the larger circle than the smaller circle? | <gadget id="calculator">3 / 2</gadget>
<output>3/2 = around 1.5</output>
<result>3/2 = around 1.5</result> | 3/2 | calc |
ape210k__00208425 | Divide 5 kilograms of salt into 6 equal parts, how many kilograms does each part weigh? | <gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>
<result>5/6 = around 0.833333</result> | 5/6 | calc |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.