id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00417841 | circular fish pond has a radius of 20 meters, and there is a circular island in the middle with a diameter of 6 meters. What is the water surface area of this fish pond? | <gadget id="calculator">20 ** 2</gadget>
<output>400</output>
<gadget id="calculator">6 / 2</gadget>
<output>3</output>
<gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">400 - 9</gadget>
<output>391</output>
<gadget id="calculator">3.14 * 391</gadget>
<output>1_227.74</output>
<res... | 1_227.74 | calc |
ape210k__01096885 | In division without remainder, dividend + divisor * quotient = 336, what is the dividend. | <gadget id="calculator">336 / 2</gadget>
<output>168</output>
<result>168</result> | 168 | calc |
ape210k__00203209 | A, B, and C start at the same time from point A to point B, which is 100 kilometers away from point A. A and C travel by car at a speed of 25 km/h, while B walks at a speed of 5 km/h. After a while, C gets off the car and walks at a speed of 5 km/h, while A turns back at the original speed, picks up B and goes to point... | <gadget id="calculator">100 * 2</gadget>
<output>200</output>
<gadget id="calculator">200 / 25</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
math_qa__jVqwg2U0dL72XcbC | 20% of a number is more than 40% of 140 by 80. Find the number?
Choose the correct choice from the following answers:
A) 680 B) 620 C) 652 D) 520 E) 458 | <gadget id="calculator">140 * 40</gadget>
<output>5_600</output>
<gadget id="calculator">5_600 / 100</gadget>
<output>56</output>
<gadget id="calculator">56 + 80</gadget>
<output>136</output>
<gadget id="calculator">136 * 100</gadget>
<output>13_600</output>
<gadget id="calculator">13_600 / 20</gadget>
<output>680<... | A | calc |
aqua_rat__QYlZE4vCjeL2QoR0 | 5 years ago, Paula was 3 times as old as Karl. In 6 years, Paula will be twice as old as Karl. What is the sum of their ages now?
Choose the correct choice from the following:
A) 42
B) 46
C) 50
D) 54
E) 58 | P-5 = 3(K-5) and so P = 3K-10 P+6 = 2(K+6) (3K-10)+6 = 2K+12 K = 16 P = 38 P+K = 54 The answer is 54.
<result>D</result> | D | calc |
ape210k__00062899 | A livestock farm sells (3/8) of the number of beef cattle, and there are 250 cattle left. How many beef cattle are there in this livestock farm? | <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>
<gadget id="calculator">250 / (5/8)</gadget>
<output>400</output>
<result>400</result> | 400 | calc |
ape210k__00055590 | The greening team planned to plant 1,500 saplings in 60 days, but the actual number of saplings planted per day was 5 more than planned. How many days did it actually take to plant these saplings? | <gadget id="calculator">1_500 / 60</gadget>
<output>25</output>
<gadget id="calculator">25 + 5</gadget>
<output>30</output>
<gadget id="calculator">1_500 / 30</gadget>
<output>50</output>
<result>50</result> | 50 | calc |
aqua_rat__HcWQnjBW9SizA9S9 | The population of a town increased from 1,75,000 to 2,62,500 in a decade. The average percent increase of population per year is : Choose the correct choice from the following choices.
A) 4.37% B) 5% C) 6% D) 8.75% E) None of these | Solution Increase in 10 year= (262500 - 175000)=
<gadget id="calculator">(262500 - 175000)</gadget>
<output>87_500</output>
87500. Increase%=( f87500/175000x 100 )% = 50% ∴ Required average = ( 50/10 )=
<gadget id="calculator">( 50/10 )</gadget>
<output>5</output>
5% Answer 5%
<result>B</result> | B | calc |
ape210k__00579293 | There is a cuboid, the areas of three adjacent faces intersecting at the same vertex are 10cm**2, 8cm**2, 6cm**2 respectively, what is the surface area of this cuboid in m**2? | <gadget id="calculator">10 + 8 + 6</gadget>
<output>24</output>
<gadget id="calculator">24 * 2</gadget>
<output>48</output>
<result>48</result> | 48 | calc |
ape210k__00600454 | conical hammer has a base radius of 3 cm and a height of 5 cm. What is its volume? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">(1/3) * 3.14 * 9 * 5</gadget>
<output>47.1</output>
<result>47.1</result> | 47.1 | calc |
ape210k__01139559 | (5/6) day = how many hours. | <result>20</result> | 20 | calc |
ape210k__00351996 | A ticket for a football game is 15 yuan. After the price is reduced, the number of spectators is increased by half, and the income is increased by 20%. How much is the price of a ticket reduced? | <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">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 + (1/2)</gadget>
<output>3/2 = around 1.5</output>
<gadget id="c... | 3 | calc |
ape210k__00240451 | What is the number below that is closest to 200? | <result>201</result> | 201 | calc |
ape210k__00168179 | After the denominator of (9/16) is doubled, how much should be added to the numerator to keep the size of the fraction unchanged. | <gadget id="calculator">9 * 2</gadget>
<output>18</output>
<gadget id="calculator">18 - 9</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
aqua_rat__qEZ8cXDmMJBWeAUk | A tradesman by means of his false balance defrauds to the extent of 40%? in buying goods as well as by selling the goods. What percent does he gain on his outlay? Select the correct option:
A) 17%
B) 77%
C) 44%
D) 96%
E) 47% | g% = 40 + 40 + (40*40)/100=
<gadget id="calculator">40 + 40 + (40*40)/100</gadget>
<output>96</output>
96% Answer: 96%
<result>D</result> | D | calc |
aqua_rat__UHCFufO9wzYMRX5J | A gets 3 times as much money as B gets, B gets only Rs.25 more then what C gets. The three gets Rs.675 in all. Find the share of B? Choose the correct option: A) 130 B) 120 C) 218 D) 140 E) 145 | A+B+C = 675 A = 3B 3B+B+B-25 = 675 5B = 700 B = 140 Answer: 140
<result>D</result> | D | calc |
aqua_rat__E70LwBttEUw8kyZw | If a car goes at 80 km/hr instead of 60 km/hr, he would have walked 30 km more. The time traveled by the car is? Choose the correct choice from the following answers: A) 2 hours B) 2.5 hours C) 3.5 hours D) 1.5 hours E) 3 hours | Let the actual distance traveled be x km. Then, x/60 = (x + 30)/80 4x - 3x = 90 =>x = 90 km. Travel time = 90/60 hours = 3/2=
<gadget id="calculator">3/2</gadget>
<output>3/2 = around 1.5</output>
1.5 hours Answer :1.5 hours
<result>D</result> | D | calc |
aqua_rat__K5lmYacjVUnJ3mgB | A walks at 30 kmph and 30 hours after his start, B cycles after him at 45 kmph. How far from the start does B catch up with A? Choose the correct option
A) 1200km B) 1500km C) 2000km D) 2700km E) 3600km | Suppose after x km from the start B catches up with A. Then, the difference in the time taken by A to cover x km and that taken by B to cover x km is 30 hours. x/30 - x/45= 30 x = 2700 km Answer is 2700km
<result>D</result> | D | calc |
math_qa__7D7714auZ8Vav6go | Daniel went to a shop and bought things worth Rs. 40, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?
Choose the most appropriate option:
A) 34.7 B) 20 C) 21.3 D) 21.5 E) 22 | <gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">40 - (3/10)</gadget>
<output>397/10 = around 39.7</output>
<gadget id="calculator">30 / 6</gadget>
<output>5</output>
<gadget id="calculator">(397/10) - 5</gadget>
<output>347/10 = around 34.7</output>
<result>A</re... | A | calc |
ape210k__01140707 | The orchard harvested 1,200 tons of apples last year, and this year it harvested less (1/10) than last year. How many tons of apples are harvested this year? | <gadget id="calculator">1 / 10</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">1_200 * (9/10)</gadget>
<output>1_080</output>
<result>1_080</result> | 1_080 | calc |
aqua_rat__tb63mUYp0iwoPEqR | The sum of the squares of two consecutive positive integers exceeds their product by 91. Find the integers?
Choose the correct choice from the following choices: A) 9, 10 B) 10, 11 C) 11, 12 D) 12, 13 E) None of these | Let the two consecutive positive integers be x and x + 1 x2 + (x + 1)2 - x(x + 1) = 91 x2 + x - 90 = 0 (x + 10)(x - 9) = 0 => x = -10 or 9. As x is positive x = 9 Hence the two consecutive positive integers are 9 and 10. 9, 10NSWER:9, 10
<result>A</result> | A | calc |
ape210k__00329137 | The classroom in Class 5 and 4 is 6 meters wide and 12.8 meters long. It is paved with square bricks with a side length of 4 decimeters. How many square bricks are needed in total? | <gadget id="calculator">4 / 10</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(2/5) * (2/5)</gadget>
<output>4/25 = around 0.16</output>
<gadget id="calculator">6 / (4/25)</gadget>
<output>75/2 = around 37.5</output>
<gadget id="calculator">12.8 * (75/2)</gadget>
<output>480</output>
<result>480... | 480 | calc |
ape210k__00459660 | According to 13*12﹦156, write down how much is 130*12﹦. | <gadget id="calculator">130 * 12</gadget>
<output>1_560</output>
<result>1_560</result> | 1_560 | calc |
ape210k__00189681 | For any natural numbers X and Y, define a new operation @:X@Y=((6XY)/(mX+2Y)), where m is a certain natural number. If 1@2=1, then 2@8=how much. | <gadget id="calculator">6 * 2 * 8</gadget>
<output>96</output>
<gadget id="calculator">8 * 2</gadget>
<output>16</output>
<gadget id="calculator">2 * 8</gadget>
<output>16</output>
<gadget id="calculator">16 + 16</gadget>
<output>32</output>
<gadget id="calculator">96 / 32</gadget>
<output>3</output>
<result>3</re... | 3 | calc |
math_qa__jEmtsVEAuKNyFgW5 | the average of 11 results is 42 , if the average of first 5 results is 49 and that of the last 7 is 52 . find the fifth result ? Choose the correct choice from the following
A) 145 B) 146 C) 147 D) 148 E) 149 | <gadget id="calculator">5 * 49</gadget>
<output>245</output>
<gadget id="calculator">7 * 52</gadget>
<output>364</output>
<gadget id="calculator">245 + 364</gadget>
<output>609</output>
<gadget id="calculator">11 * 42</gadget>
<output>462</output>
<gadget id="calculator">609 - 462</gadget>
<output>147</output>
<re... | C | calc |
aqua_rat__QZRnkFCU4MXgLZzB | If books bought at prices ranging from Rs. 200 to Rs. 350 are sold at prices ranging from Rs. 300 to Rs. 425, what is the greatest possible profit that might be made in selling ten books ? Choose the correct choice from the following answers: A) 23267 B) 2677 C) 1800 D) 2250 E) 76611 | Explanation: Least Cost Price = Rs. (200 * 10) = Rs. 2000. Greatest Selling Price = Rs. (425 * 10) = Rs. 4250. Required profit = Rs. (4250 - 2000) = Rs. 2250. Answer: 2250) 2250
<result>D</result> | D | calc |
ape210k__00310448 | In 4:8, if 8 is added to the former term, how much should be added to the latter term to keep the ratio unchanged. | <gadget id="calculator">24 - 8</gadget>
<output>16</output>
<result>16</result> | 16 | calc |
ape210k__00245575 | In a mathematics competition, the total average score of the award-winning students in a certain school was 80 points. Among them, 8 students who won the first prize have an average score of 95 points, 2 students who have won the third prize have an average score of 70 points, and the rest of the students have won the ... | <gadget id="calculator">95 * 8</gadget>
<output>760</output>
<gadget id="calculator">70 * 2</gadget>
<output>140</output>
<gadget id="calculator">8 * 80</gadget>
<output>640</output>
<gadget id="calculator">2 * 80</gadget>
<output>160</output>
<gadget id="calculator">140 - 640 - 160</gadget>
<output>-660</output>
... | 20 | calc |
aqua_rat__5so5P7ucFqaCXXF9 | A factory that employs 1000 assembly line workers pays each of these workers $5 per hour for the first 40 hours worked during a week and 1½ times that rate for hours worked in excess of 40. What was the total payroll for the assembly-line workers for a week in which 30 percent of them worked 35 hours, 50 percent worked... | 30% of 1000 = 300 worked for 20 hours Payment @ 5/hr Total Payment = 300*35*5=
<gadget id="calculator">300*35*5</gadget>
<output>52_500</output>
52500 50 % of 1000= 500 worked for 40 hours Payment @ 5/hr Total payment = 500*40*5=
<gadget id="calculator">500*40*5</gadget>
<output>100_000</output>
100000 Re... | D | calc |
ape210k__00522299 | A bridge is 1200 meters long, a train passes the bridge at a speed of 20 meters per second, and the length of the train body is 300 meters, how many seconds does it take for the train to get on the bridge and leave? | <gadget id="calculator">1_200 + 300</gadget>
<output>1_500</output>
<gadget id="calculator">1_500 / 20</gadget>
<output>75</output>
<result>75</result> | 75 | calc |
ape210k__00197870 | The store buys a batch of pens at a price of 10 yuan each, and then sells them at a fixed price after adding 40% of the profit. When (3/4) of this batch of pens is sold, it has already made a profit of 240 yuan. How many pens are there in this batch? | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">240 / (3/4) / (2/5)</gadget>
<output>800</output>
<result>800</result> | 800 | calc |
ape210k__01081073 | Xiaojun can read about 77 pages of composition guidance in a week, and how many pages Xiaojun reads every day. | <gadget id="calculator">77 / 7</gadget>
<output>11</output>
<result>11</result> | 11 | calc |
aqua_rat__q8513LQbS2s6UPDT | Which of the following options represents an approximate value for the question mark (?) in the following equation?
87.542 + 62.511 × 3.2 + ? = 805.925 Select:
A) 913.4 B) 918.4 C) 911.4 D) 988.4 E) 958.4 | 87.542 + 62.511 × 3.2 + ? = 805.925 or, ? = 805.925 – 87.542 + 62.511 × 3.2 ? = 805.925 – 87.542 + 200.0352 ≈ 918.4 Answer 918.4
<result>B</result> | B | calc |
ape210k__00354996 | In the 29th Beijing Olympic Games, the Chinese sports delegation won a total of 100 medals, seven more than three times that of South Korea. How many medals did the South Korean delegation win? | <gadget id="calculator">100 - 7</gadget>
<output>93</output>
<gadget id="calculator">93 / 3</gadget>
<output>31</output>
<result>31</result> | 31 | calc |
aqua_rat__IQl8s2Gw0CEPdW7F | Maggie has to buy 50 toys from a toy shop. She buys 13 hoola hoops, 15 beach balls, and 12 baseball bats. What percentage of Toys has she not bought ? Choose the correct choice.
A) 26 % B) 34 % C) 30 % D) 20 % E) 38 % | Explanation : Toys not bought = 50 - 13 - 15 - 12=
<gadget id="calculator">50 - 13 - 15 - 12</gadget>
<output>10</output>
10 Toys not bought percentage (10/50 x 100) % Answer : 20 %
<result>D</result> | D | calc |
aqua_rat__lNLAlRMmTDfXthRd | In an engineering class that contained 150 students, the final exam consisted of 2 questions. Three fifths of the students answered the first question correctly. If four fifths of the remainder answered the second question correctly, how many students answered both questions incorrectly? Choose the correct choice from... | 1st Question : Three fifths of the students answered the first question correctly - so 3/5∗150=90 2nd Question : four fifths of the remainder answered the second question correctly so 4/5∗(150−90)=4/5∗60=48 total students who answered at least one Q correct =90+48=
<gadget id="calculator">90+48</gadget>
<o... | D | calc |
aqua_rat__QfJcIQw77JzHO1xl | A train running at the speed of 36 km/hr crosses a pole in 9 seconds. Find the length of the train?
Choices
A) 150 meter B) 299 meter C) 666 meter D) 90 meter E) 144 meter | Speed = 36*(5/18) m/sec = 10 m/sec Length of Train (90 meteristance) = Speed * Time (10) * 9=
<gadget id="calculator"> (10) * 9</gadget>
<output>90</output>
90 meter Answer: 90 meter
<result>D</result> | D | calc |
ape210k__00151916 | If the length, width, and height of a cuboid are tripled, how much will its volume be enlarged? | <result>27</result> | 27 | calc |
ape210k__00101163 | A number consists of 2 hundreds, 4 0.1, and 8 0.01. What is the number? | <gadget id="calculator">200 + 0.4 + 0.08</gadget>
<output>200.48</output>
<result>200.48</result> | 200.48 | calc |
aqua_rat__ZbL4NUCom0O9fcQf | The difference between the squares of two consecutive odd integers
is a square<1000 whose root equals the combined sum of the digits
of the two integers. What is the sum of the digits X of the larger integer? Choose the correct option: A) X=2 B) X=5 C) X=8 D) 10 E) 11 | Really hard. But let's start with few concepts: 1. Square of an odd integer will be odd. 2. Difference of odd and odd will be even. 3. Any odd integer can be expressed as difference of two squares. 4. An even integer can be expressed as difference of two squares only if that even integer is a multiple of 4. A... | A | calc |
aqua_rat__grvepDtrCn3tsaln | The length of a rectangular plot is thrice its breadth. If the area of the rectangular plot is 2028 sq m, then what is the breadth of the rectangular plot? Select the correct option.
A) 11
B) 17
C) 26
D) 101
E) 1322 | Let the breadth of the plot be b m. Length of the plot = 3 b m (3b)(b) = 2028 3b2 = 2028 b2 = 676 = 26 (b > 0) b = 26 m. Answer: 26
<result>C</result> | C | calc |
aqua_rat__r0sYieg6oakqXnXQ | A 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform?
Choose the correct choice from the following:
A) 769m B) 678m C) 350m D) 168m E) 198m | Speed = [300 / 18] m/sec = 50/3 m/sec. Let the length of the platform be x meters. Then, x + 300 / 39 = 50/3 3(x + 300) = 1950 è x = 350m. Answer: 350m
<result>C</result> | C | calc |
aqua_rat__zJMwcnBa73h1SpA1 | A salesman’s terms were changed from a flat commission of 5% on all his sales to a fixed salary of Rs.1000 plus 2.5% commission on all sales exceeding Rs. 4,000. If his remuneration as per new scheme was Rs. 600 more than that by the previous schema, his sales were worth? Choose the correct choice from the following op... | [1000 + (X-4000) * (2.5/100)] - X * (5/100) = 600 X = 12000 Answer: 12000
<result>B</result> | B | calc |
math_qa__R8gtHLcVLLSfApVB | A line has a slope of 3/4 and intersects the point (-12, -39). At which point E does this line intersect the x-axis? Pick one
A) ( 400 ) B) ( 300 ) C) ( 040 ) D) ( 4030 ) E) ( 030 ) | <gadget id="calculator">-39</gadget>
<output>-39</output>
<gadget id="calculator">-12</gadget>
<output>-12</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(-12) * (3/4)</gadget>
<output>-9</output>
<gadget id="calculator">(-39) - (-9)</gadget>
<output>-30</... | A | calc |
math_qa__qV3bM0mc5XADcqqk | The diagonals of a rhombus are 11 cm and 20 cm. Find its area?
Choose the correct choice from the following choices.
A) 329 B) 288 C) 150 D) 238 E) 110 | <gadget id="calculator">(11 * 20) / 2</gadget>
<output>110</output>
<result>E</result> | E | calc |
aqua_rat__VTWpMYyq2d5ZAm1Q | A certain office supply store stocks 2 sizes of self-stick notepads, each in 3 colors: Blue, Green, Yellow Or Pink. The store packs the notepads in packages that contain either 3 notepads of the same size and the same color or 3 notepads of the same size and of 3 different colors. If the order in which the colors are p... | Notepads of the same color = 3 (we have 3 colors). As we have two sizes then total for the same color=3*2=
<gadget id="calculator">3*2</gadget>
<output>6</output>
6 Notepads of the different colors= 3C3=1 (we should choose 3 different colors out of 4). As we have two sizes then total for the different color=1*2=
<g... | B | calc |
aqua_rat__3bkGUVFxhuL0WQs1 | Stuart bought a sweater on sale for 30% off the original price and another 25% off the discounted price. If the original price of the sweater was $40, what was the final price of the sweater? Choose the correct answer: A) $25.75 B) $35.75 C) $15.75 D) $ 21 E) $16.75 | The price with 30% off 40 - 30% of 40 = 40 - (30 / 100) *40 = 40 - 12=
<gadget id="calculator">40 - 12</gadget>
<output>28</output>
28 The price with another 25% off 28 - 25% of 28= 28 - (25/100)* 28=
<gadget id="calculator">28 - (25/100)* 28</gadget>
<output>21</output>
$21 correct answer $ 21
<result>D</res... | D | calc |
ape210k__01002951 | It takes 3 seconds for a small ball to roll from A to B. The speed in the first second is 15.5 meters, and every second thereafter decreases by 3.4 meters from the previous second. What is the distance from A to B? | <gadget id="calculator">15.5 - 3.4</gadget>
<output>12.1</output>
<gadget id="calculator">15.5 - 3.4 - 3.4</gadget>
<output>8.7</output>
<gadget id="calculator">15.5 + 12.1 + 8.7</gadget>
<output>36.3</output>
<result>36.3</result> | 36.3 | calc |
ape210k__00998535 | thermal power plant transports 360 tons of coal, the coal used on the first day (2/9), the quality of the coal used on the second day is the first day (7/8). How many tons of coal will be used the next day? | <gadget id="calculator">2 / 9</gadget>
<output>2/9 = around 0.222222</output>
<gadget id="calculator">7 / 8</gadget>
<output>7/8 = around 0.875</output>
<gadget id="calculator">360 * (2/9) * (7/8)</gadget>
<output>70</output>
<result>70</result> | 70 | calc |
ape210k__00874661 | Zhang San saves 85 yuan of pocket money this semester, and Li Si saves 13 yuan more than three times the pocket money of Zhang San this semester. How much pocket money does Li Si save this semester? | <gadget id="calculator">85 * 3</gadget>
<output>255</output>
<gadget id="calculator">255 + 13</gadget>
<output>268</output>
<result>268</result> | 268 | calc |
aqua_rat__2UaCZ7R5Z2ORQfXS | If an article is sold at 19% profit instead of 12% profit, then the profit would be Rs. 105 more. What is the cost price? Choose the correct choice from the following:
A) Rs.1529 B) Rs.1508 C) Rs.1500 D) Rs.1592 E) Rs.1520 | Let the cost price of an article be Rs. x. (19% of x) - (12% of x) = 105 19x/100 - 12x/100 = 105 => 7x = 105 * 100 => x = 1500 Rs.1500ost price = Rs.1500 Answer: Rs.1500
<result>C</result> | C | calc |
aqua_rat__M5oRJwadmBcE5C6O | Jack's toy box contains 13 toy soldiers, 7 model airplanes and 5 dolls. What is the probability that a randomly chosen toy from the box will be either a model airplane or a doll?
Choose the correct choice from the following choices.
A) 35/252 B) 12/25 C) (7/25)+(5/24) D) 20/25 E) 12 | Probability of selecting either a model airplanes or a doll = 1 - ( Probability of Selecting a Toy ) Probability of selecting either a model airplanes or a doll = 1 - 13C1/ 25C1 Probability of selecting either a model airplanes or a doll = 1 - 13/25 Probability of selecting either a model airplanes or a doll = 12... | B | calc |
ape210k__01225333 | When Xiaowen calculated the addition of two numbers, he mistook the 1 in the ones digit of one addend as 7, and the 8 in the tens digit of the other addend as 3, and the result was 1955. What is the correct answer for adding two numbers? | <gadget id="calculator">7 - 1</gadget>
<output>6</output>
<gadget id="calculator">50 - 6</gadget>
<output>44</output>
<gadget id="calculator">1_955 + 44</gadget>
<output>1_999</output>
<result>1_999</result> | 1_999 | calc |
ape210k__00395020 | A worker can process 235 mobile phone parts every day. He worked 24 days last month. How many pieces were produced in total? | <result>24</result> | 24 | calc |
ape210k__00021031 | A store originally had 630 black and white and color TV sets, of which black and white TVs accounted for (1/5), and some black and white TV sets were shipped in later. At this time, black and white TV sets accounted for (3/10) of the total number of the two types of TV sets. Ask: How many black and white TV sets are sh... | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">3 / 10</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">1 - (3/10)</gadget>
<output>7/10 = around 0.7</output>
<gadget id="... | 90 | calc |
ape210k__00651239 | If the volume of a cylinder is 30 cubic decimeters, what is the volume of a cone with the same base and height as it? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">30 * (1/3)</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__00557340 | The store sells 4 boxes of thermos cups, 12 in each case, with a total income of 864 yuan. How much is each thermos cup? | <gadget id="calculator">864 / 4 / 12</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
math_qa__I5ZUOaxl8ChtiH8S | When a train travels at a speed of 100kmph,it reaches the destination on time.when the same train travels at a speed of 50kmph,it reaches its destination 15min late.what is the length of journey? Choose the correct choice from the following answers: A) 15 km B) 50 km C) 60 km D) 85 km E) 95 km | <gadget id="calculator">15 / 60</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/4) * 50</gadget>
<output>25/2 = around 12.5</output>
<gadget id="calculator">(25/2) / 50</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">60 * (1/4)</gadget>
<output>15</output>
<result>A</resul... | A | calc |
ape210k__00562333 | parking lot stipulates that a parking fee of 5 yuan is charged within 2 hours, and the excess part is charged at 3.5 yuan per hour. Aunt Liu paid a parking fee of 15.5 yuan when she drove away. How long did she park in this parking lot? | <gadget id="calculator">15.5 - 5</gadget>
<output>10.5</output>
<gadget id="calculator">10.5 / 3.5</gadget>
<output>3</output>
<gadget id="calculator">3 + 2</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
ape210k__01026295 | cuboid block of wood is 10 cm long, 8 cm wide, and 5 cm high. If it is cut into the largest cube, what is the volume in cubic centimeters? | <gadget id="calculator">5 * 5 * 5</gadget>
<output>125</output>
<result>125</result> | 125 | calc |
ape210k__00507191 | There is a piece of fabric that can be used to make 6 sets of adult clothes or 8 sets of children's clothes. It is known that it takes 1.75 meters more cloth to make one set of adult clothes than to make one set of children's clothes. How much rice cloth is needed to make one set of children's clothes? | <gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">(1/6) - (1/8)</gadget>
<output>1/24 = around 0.041667</output>
<gadget id="calculator">1.75 / (1/24) / 8</gadget>
<output>5.25</output>
<re... | 5.25 | calc |
aqua_rat__cax1kEE37HkMfd60 | At a certain school 55% of the students join a band, 25% play a sport and 20% both join the band and play a sport. if a randomly selected student is a member of the band, what is the probablility that the student also plays a sport? Choose the most appropriate option
A) 1) 3/4 B) 2)4/5 C) 3)2/5 D) 4)1/2 E) 5)1/5 | This is the way to approach the question: 25% of the students join a band => 25% of the students either only join a band or both join a band and play sports 25% of the students play sports => 25% of the students either only play sports or both play sports and join a band If a randomly selected student is a ... | B | calc |
ape210k__00926687 | There is a pile of stones, (2/7) was used for the first time, 24 tons more stones were used for the second time than the first time, and 544 tons of stones were used for the two times. How many tons are there in this pile of stones? | <gadget id="calculator">544 - 24</gadget>
<output>520</output>
<gadget id="calculator">2 / 7</gadget>
<output>2/7 = around 0.285714</output>
<gadget id="calculator">(2/7) + (2/7)</gadget>
<output>4/7 = around 0.571429</output>
<gadget id="calculator">520 / (4/7)</gadget>
<output>910</output>
<result>910</result> | 910 | calc |
ape210k__01223811 | Two children, A and B, agreed to spend an average of money to buy ballpoint pens. As a result, A took 18 pens, and B took 14. Finally, A paid B 1.6 yuan. How much did the two of them spend on the ballpoint pen? | <gadget id="calculator">18 + 14</gadget>
<output>32</output>
<gadget id="calculator">32 / 2</gadget>
<output>16</output>
<gadget id="calculator">18 - 16</gadget>
<output>2</output>
<gadget id="calculator">1.6 / 2</gadget>
<output>0.8</output>
<gadget id="calculator">0.8 * 32</gadget>
<output>25.6</output>
<result>... | 25.6 | calc |
aqua_rat__pDMoJcidImEc0gkL | A take twice as much time as B or thrice as much time to finish a piece of work. Working together, they can finish the work in 2 days. B can do the work alone in?
Answers:
A) 22
B) 12
C) 66
D) 88
E) 55 | Suppose A, B and C take x, x/2 and x/3 respectively to finish the work. Then, (1/x + 2/x + 3/x) = 1/2 6/x = 1/2 => x = 12 So, B takes 6 hours to finish the work. Answer: 12
<result>B</result> | B | calc |
aqua_rat__QjFvPgY2XzSDfJ3R | A profit of Rs. 900 is divided between X and Y in the ratio of 1/2:1/3 . What is the difference between their profit shares ?
Choose the correct choice from the following answers
A) s. 280 B) s. 180 C) s. 380 D) s. 50 E) s. 90 | A profit of Rs. 900 is divided between X and Y in the ratio of 1/2 : 1/3 or 3:2. so profits are 540 and 360. difference in profit share = 540-360=
<gadget id="calculator">540-360</gadget>
<output>180</output>
180 ANSWER:s. 180
<result>B</result> | B | calc |
aqua_rat__TYcN5S9NeyB2Et9q | How many total number of ways in which x distinct objects can be put into two different boxes is Options.
A) n2 B) 2x C) 2n D) 3n E) None of these | Let the two boxes be B1 and B2. There are two choices for each of the x objects. So, the total number of ways is 2 × 2 ×.....× 2 (x times ) = 2x Answer 2x
<result>B</result> | B | calc |
ape210k__00295470 | The volume of a cube with a side length of 1m is 1m**3, then what is the volume of a cube with a side length of 3m in m**3. | <gadget id="calculator">3 * 3 * 3</gadget>
<output>27</output>
<result>27</result> | 27 | calc |
aqua_rat__QHtJH5opbdmc7J6j | howmany 3 digit numbers are there tens digit place is more than hundreds digit place and units place less than hundreds digit place? Answers
A) 80
B) 100
C) 110
D) 120
E) 140 | we have numbers {0,1,2,3,4,5,6,7,8,9} now we would decide the cases on behalf of value of hundred place digit. and accordingly choose unit's digit and ten's digit. value of hundred place digit must be choosen in such a manner that there should exist a greater digit for ten's place and a smaller digit for unit place... | D | calc |
ape210k__01198125 | When water freezes, the volume of ice increases (1/11) compared to the volume of water, and when ice turns into water, the volume of water decreases by how much compared to the volume of ice. | <gadget id="calculator">1 / 11</gadget>
<output>1/11 = around 0.090909</output>
<gadget id="calculator">1 + (1/11)</gadget>
<output>12/11 = around 1.090909</output>
<gadget id="calculator">1 * (12/11)</gadget>
<output>12/11 = around 1.090909</output>
<gadget id="calculator">(12/11) - 1</gadget>
<output>1/11 = around... | 1/12 | calc |
ape210k__00307985 | The older sister and the younger brother got good grades in the final exam, the grandma gave 100 yuan (1/5) to the elder sister to buy school supplies, the grandfather gave 100 (1/5) yuan to the younger brother, and the older sister gave her the money from the grandma to herself ( 1/5) also gave to my younger brother. ... | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">100 * (1/5) * (1/5)</gadget>
<output>4</output>
<gadget id="calculator">100 * (1/5)</gadget>
<output>20</output>
<gadget id="calculator">4 + 20</gadget>
<output>24</output>
<result>24</result> | 24 | calc |
ape210k__00095552 | If 1/5 of the number of people in class A is transferred to class B, the number of people in the two classes will be equal. How much more people in class A than in class B | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5) - (1/5)</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">2 / (3/5)</gadget>
<output>10/3 = around 3.333333</output>
<gadget id="calculator">(1/5) * (10/3)</gadget>
<output>2/3 = around 0.66666... | 2/3 | calc |
gsm8k__vhNqkyoT2ntxaB1X | A frog lays her eggs over a series of 4 days. The first day she lays 50 eggs. The second day, she doubles her production of eggs. The third day she lays 20 more than the second day, and the last day she doubles the first three days total. How many eggs did the frog lay over the span of the 4 days? | Day 1:50.
Day 2:50(2)=100.
Day 3:100+20=
<gadget id="calculator">100+20</gadget>
<output>120</output>
120.
Day 4:2(50+100+120)=540.
Total:50+100+120+540=
<gadget id="calculator">50+100+120+540</gadget>
<output>810</output>
810 eggs.
<result>810</result> | 810 | calc |
ape210k__00477754 | There is a wall with a length of 7 meters and a width of 5 meters. There is a blackboard on the wall with an area of 4 square meters. Now Master Wang is going to paint this wall. How many square meters is the area to be painted? | <gadget id="calculator">7 * 5</gadget>
<output>35</output>
<gadget id="calculator">35 - 4</gadget>
<output>31</output>
<result>31</result> | 31 | calc |
ape210k__00869971 | The boulevard in the campus is 180 meters long in total. On both sides of the avenue, a pot of flowers is placed every 2 meters. Both ends should be placed. How many pots should be placed in total. | <gadget id="calculator">180 / 2</gadget>
<output>90</output>
<gadget id="calculator">90 + 1</gadget>
<output>91</output>
<gadget id="calculator">91 * 2</gadget>
<output>182</output>
<result>182</result> | 182 | calc |
ape210k__00954579 | Take 500 grams of corn and weigh 425 grams after drying. Please calculate the moisture content of the corn. | <gadget id="calculator">500 - 425</gadget>
<output>75</output>
<gadget id="calculator">75 / 500</gadget>
<output>3/20 = around 0.15</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(3/20) * 1</gadget>
<output>3/20 = around 0.15</output>
<result>3/20 = around 0.15</resul... | 3/20 | calc |
aqua_rat__ZAxOqao8or43FYMG | The ratio of the present age of two brothers is 1:2 and 5 years back, the ratio was 1:3. What will be the ratio of their ages after 5 years? Choose the most appropriate option.
A) 3:9 B) 3:0 C) ratio 3:5 D) 3:2 E) 3:1 | Let the present ages of the two brothers be x and 2x years respectively. Then, (x - 5)/(2x - 5) = 1/3 3(x - 5) = (2x - 5) => x = 10 Required ratio = (x + 5) : (2x + 5) = 15 : 25 = 3:5 Answer: ratio 3:5
<result>C</result> | C | calc |
ape210k__01220111 | There are 16 boys in the school dance team, and the number of girls is three times that of boys. How many people are there in the dance team? | <gadget id="calculator">16 * 3</gadget>
<output>48</output>
<gadget id="calculator">48 + 16</gadget>
<output>64</output>
<result>64</result> | 64 | calc |
aqua_rat__Wvfxvd03PPEBIlKG | When the integer x is divided by the integer y, the remainder is 60. Which of the following is a possible value of the quotient x/y?
I. 15.15
II.18.18
III. 17.17 Choose the correct choice from the following options: A) I only B) II only C) III only D) I and II only E) I and III only | Problem statement was difficult to parse. but some how I managed to understand what we can do. 1) x/y = 15 + 0.15 2) x/y = 18 + 0.18 3) x/y = 17 + 0.17 w.k.t x = yn (i.e Q) + yk=60 (i.e remainder) therefore : 1) y*0.15=60 -- we can get y an integer. 2) y*0.18=60 -- we can't get y an integer. 3) y*0.17=6... | A | calc |
ape210k__01217683 | A machine tool factory plans to assemble 240 machine tools in 12 days, but actually assembles 30 machines a day. How many days can the task be completed in advance? | <gadget id="calculator">240 / 30</gadget>
<output>8</output>
<gadget id="calculator">12 - 8</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
ape210k__00277121 | 9999*9999+19999. | <gadget id="calculator">9_999 * 9_999</gadget>
<output>99_980_001</output>
<gadget id="calculator">99_980_001 + 19_999</gadget>
<output>100_000_000</output>
<result>100_000_000</result> | 100_000_000 | calc |
ape210k__00558016 | 7 decimeters is ((())/(())) meters, how many meters is it? | <gadget id="calculator">7 / 10</gadget>
<output>7/10 = around 0.7</output>
<result>7/10 = around 0.7</result> | 7/10 | calc |
ape210k__00594557 | The electricity bill of the school in July is 360 yuan, which is 10% less than the electricity bill in June. How much is the electricity bill in June? | <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">360 / (9/10)</gadget>
<output>400</output>
<result>400</result> | 400 | calc |
ape210k__00582432 | There are two identical cylinders, which can be assembled into a cylinder with a height of 12 cm, and the surface area is reduced by 25.12 square centimeters. Find the surface area of the original cylinder. | <gadget id="calculator">12 / 2</gadget>
<output>6</output>
<gadget id="calculator">3.14 * 2 * 2 * 6</gadget>
<output>75.36</output>
<gadget id="calculator">25.12 / 2</gadget>
<output>12.56</output>
<gadget id="calculator">12.56 * 2</gadget>
<output>25.12</output>
<gadget id="calculator">75.36 + 25.12</gadget>
<outp... | 100.48 | calc |
ape210k__00757507 | The minuend is 125% more than the difference, and the difference is the amount of the minuend | <gadget id="calculator">125 / 100</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">1 + (5/4)</gadget>
<output>9/4 = around 2.25</output>
<gadget id="calculator">1 / (9/4)</gadget>
<output>4/9 = around 0.444444</output>
<result>4/9 = around 0.444444</result> | 4/9 | calc |
ape210k__01074295 | An isosceles triangle is formed by an iron wire with a length of 18dm. If the length of the waist is 5dm, what is the length of the base in decimeters? | <gadget id="calculator">18 - 5 - 5</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__00154041 | Xiao Ming was counting the flow of people at the ticket gate of the railway station. He found that there were already some people queuing up before the start of the ticket check. Open a ticket gate, and no one will line up after 8 minutes of ticket checking. Please help Xiao Ming imagine that if two ticket gates are op... | <gadget id="calculator">25 * 8</gadget>
<output>200</output>
<gadget id="calculator">10 * 8</gadget>
<output>80</output>
<gadget id="calculator">200 - 80</gadget>
<output>120</output>
<gadget id="calculator">50 - 10</gadget>
<output>40</output>
<gadget id="calculator">120 / 40</gadget>
<output>3</output>
<result>3... | 3 | calc |
ape210k__00104949 | The telephone number of a certain county is a seven-digit number, and the first three digits are known to be a fixed number 610, so how many telephones can be installed in the county at most. | <gadget id="calculator">10 * 10 * 10 * 10</gadget>
<output>10_000</output>
<result>10_000</result> | 10_000 | calc |
ape210k__00339850 | A piece of iron is submerged into a cubic tank filled with water. The edge length of the tank is 40 cm. After the iron block is taken out, the elevation drops by 0.8 cm. What is the volume of the iron block in cubic decimeters? | <gadget id="calculator">0.8 / 1_000</gadget>
<output>0.0008</output>
<gadget id="calculator">40 * 40 * 0.0008</gadget>
<output>1.28</output>
<result>1.28</result> | 1.28 | calc |
ape210k__00391135 | Xiao Ming's mother goes to the supermarket to buy 12 kilograms of apples and 8 kilograms of oranges. The apples cost a total of 42 yuan, and knowing that each kilogram of apples is 0.7 yuan more expensive than each kilogram of oranges, how much does it cost her mother to sell fruits in the supermarket? | <gadget id="calculator">42 / 12</gadget>
<output>7/2 = around 3.5</output>
<gadget id="calculator">(7/2) - 0.7</gadget>
<output>2.8</output>
<gadget id="calculator">2.8 * 8</gadget>
<output>22.4</output>
<gadget id="calculator">22.4 + 42</gadget>
<output>64.4</output>
<result>64.4</result> | 64.4 | calc |
ape210k__00162229 | If the radius of a circle increases from 5 cm to 8 cm, how much does the area increase by π square centimeters square centimeters? | <gadget id="calculator">5 ** 2</gadget>
<output>25</output>
<gadget id="calculator">64 - 25</gadget>
<output>39</output>
<result>39</result> | 39 | calc |
ape210k__00582518 | cuboid iron block with a length of 8 cm, a width of 6 cm, and a height of 4 cm is melted and cast into a cylinder. The base area of this cylinder is 24 square centimeters. What is the height of the cylinder in centimeters? | <gadget id="calculator">8 * 6 * 4</gadget>
<output>192</output>
<gadget id="calculator">192 / 24</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__00252074 | There is a pile of coal that used to burn 1.6 tons per day and can be burned for 35 days. Due to the adoption of coal-saving measures, the amount of coal burned per day is reduced to the original (7/8), so how many days can this pile of coal be burned now? (answer with ratio) | <gadget id="calculator">1.6 * 35</gadget>
<output>56</output>
<gadget id="calculator">7 / 8</gadget>
<output>7/8 = around 0.875</output>
<gadget id="calculator">1.6 * (7/8)</gadget>
<output>1.4</output>
<gadget id="calculator">56 / 1.4</gadget>
<output>40</output>
<result>40</result> | 40 | calc |
ape210k__00401892 | In the mid-term exam, Tashi's average score in Chinese and mathematics is 95.5, the average score of Chinese and English is 92.5, and the average score of mathematics and English is 95. What is Tashi's math score in this mid-term exam? | <gadget id="calculator">95.5 * 2</gadget>
<output>191</output>
<gadget id="calculator">92.5 * 2</gadget>
<output>185</output>
<gadget id="calculator">95 * 2</gadget>
<output>190</output>
<gadget id="calculator">191 + 185 + 190</gadget>
<output>566</output>
<gadget id="calculator">566 / 2</gadget>
<output>283</outpu... | 98 | calc |
ape210k__00184690 | From A to B, there are 2 ships, 4 trains, and 6 buses every day. How many ways are there to travel from A to B by taking these means of transportation in one day? | <gadget id="calculator">2 + 4 + 6</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
ape210k__00527819 | If a square with a side length of 2 cm is enlarged at a ratio of 2:1, what is the area of the square in square centimeters? | <gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">4 * 4</gadget>
<output>16</output>
<result>16</result> | 16 | calc |
ape210k__00966965 | The former term of a ratio is (1/3), and the latter term and the former term are reciprocals of each other. What is the ratio of this ratio? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/3) / 3</gadget>
<output>1/9 = around 0.111111</output>
<result>1/9 = around 0.111111</result> | 1/9 | calc |
ape210k__00351246 | Li Lin has 120 stamps, equivalent to Lu Hong's (3/4). How many stamps does Lu Hong have? | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">120 / (3/4)</gadget>
<output>160</output>
<result>160</result> | 160 | calc |
aqua_rat__0gZwLDWKSx2YRZ0k | In a house a hall is 20 m long, 15m wide and 5m high. Its interior has to be covered with mat. What will be the total expenditure if it costs Rs. 60 per square m? Choose the correct choice from the following answers:
A) Rs. 50000
B) Rs. 51000
C) Rs. 57000
D) Rs. 60000
E) Rs. 65000 | Length (l) = 20 m, Breadth (b) = 15 m and Height (h) = 5 m Total area of the hall to be covered with mat = 2(lb + bh + hl) = 2(20 * 15 + 15 * 5 + 5 * 20) =2(300 + 75 + 100) = 2 * 475=
<gadget id="calculator">2 * 475</gadget>
<output>950</output>
950 sq. m Total expenditure= 60 * 950 = Rs. 57000 Rs. 57000... | C | calc |
math_qa__hdkTMsN7rZ6vKQnz | If the sum of two positive integers is 20 and the difference of their squares is 40, what is the product of the two integers? Options:
A) 108 B) 99 C) 128 D) 135 E) 143 | <gadget id="calculator">40 / 20</gadget>
<output>2</output>
<gadget id="calculator">20 - 2</gadget>
<output>18</output>
<gadget id="calculator">18 / 2</gadget>
<output>9</output>
<gadget id="calculator">9 + 2</gadget>
<output>11</output>
<gadget id="calculator">9 * 11</gadget>
<output>99</output>
<result>B</result... | B | calc |
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