id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
aqua_rat__QJioQbaM5878W7Zi | Find the volume & curved surface area of a cylinder with diameter of base 14 cm and height 60 cm. Select the correct option:
A) 260 cm2 B) 2610 cm2 C) 2600 cm2 D) 2640 cm2 E) 264 cm2 | Volume = pieR2H= pie x 72 x 60 = 9240 cm3 Curved surface area = 2pieRH = (2 x3.14 x 7 x 60) cm2 =2640 cm2 answer:2640 cm2
<result>D</result> | D | calc |
aqua_rat__X3CzEsivC8wQdk3n | Of the 5 numbers, whose average is 200, the first is one-fourth of the sum of the last 4. The first number is? Pick one.
A) 200 B) 80 C) 78.63 D) 56.98 E) 67.85 | Total of 5 numbers = 5 * 200=
<gadget id="calculator">5 * 200</gadget>
<output>1_000</output>
1000 Let total of last 4 numbers= x 1st number = x/4 x+ x/4 = 1000 5x = 4000 => x = 800 1st number = 800/ 4=
<gadget id="calculator">800/ 4</gadget>
<output>200</output>
200 200nswer : 200
<result>A</result> | A | calc |
ape210k__01115187 | The area of a circle is 5024dm**2, what is the circumference of this circle? | <gadget id="calculator">2 * 3.14 * 40</gadget>
<output>251.2</output>
<result>251.2</result> | 251.2 | calc |
aqua_rat__9pyj3jvzm14Zz1xE | Arjun started a business with Rs. 10,000 and is joined afterwards by Anoop with Rs.40, 000. After how many months did Anoop join if the profits at the end of the year are divided equally? Choose the correct choice from the following choices.
A) 3
B) 4
C) 5
D) 6
E) 9 | Suppose Anoop joined after 3 months. Then, 10000 * 12 = 40000 * (12 – x) => x = 9. ANSW9R:9
<result>E</result> | E | calc |
math_qa__jumnjg1YLSRyvI11 | P software has coding line 5% more than N, N software has coding line 1/3 more than M. M software has 90 lines of coding. find P lines. Select
A) 106 B) 107 C) 126 D) 109 E) 110 | <gadget id="calculator">90 / 3</gadget>
<output>30</output>
<gadget id="calculator">90 + 30</gadget>
<output>120</output>
<result>C</result> | C | calc |
aqua_rat__yZPYXyCfREWIdowO | A 6 litre sol is 25% alcohol .How many litres of pure alcohol must be added to produce a sol that is 50% alcohol ?
Choose the correct choice from the following choices
A) A.0.6 B) B.1 C) C.2.1 D) D.3 E) E.5.4 | 25% of 6 = 1.5 50% of 6 = 3 shortage is 1.5 so we need to have 1.5/50% to get 50% alcohol content. = 3 D.3
<result>D</result> | D | calc |
ape210k__00195018 | 8.48-(0.65+3.48)=how much | <gadget id="calculator">0.65 + 3.48</gadget>
<output>4.13</output>
<gadget id="calculator">8.48 - 4.13</gadget>
<output>4.35</output>
<result>4.35</result> | 4.35 | calc |
ape210k__00648473 | 6/8=How much: 20． | <result>15</result> | 15 | calc |
aqua_rat__BnHU6fEsTGq4SJ0N | For any positive integer n, the length of n is defined as the number of prime factors whose product is n. For example, the length of 75 is 3, since 75 = 3 * 5 * 5. How many two-digit positive integers have length 6? Choose the correct answer:
A) None
B) One
C) Two
D) Three
E) Four | The best (quickest) way I can think of to get the answer, is start with 2^6, then move on from there. 2^6=64 2^5*3=96 Obviously 2^5*5 will be more than 2 digits, as will 2^4*3^2. So 64 and 96 are it. Answer is 2 (Two).
<result>C</result> | C | calc |
ape210k__01207537 | Two bags of sugar, one bag is 84 grains, and the other is 20 grains. Each time, take 8 sugars from the more bag and put them in the smaller bag. Take several times to make the number of sugars in the two bags the same many. | <gadget id="calculator">84 - 20</gadget>
<output>64</output>
<gadget id="calculator">8 + 8</gadget>
<output>16</output>
<gadget id="calculator">64 / 16</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
aqua_rat__VbhYP6Vj9S8WClG7 | In a party there are 5 couples. Out of them 5 people are chosen at random. Find the probability that there are at the least two couples? Choose the correct choice from the following options
A) 29.42 B) 29.22 C) 29.25 D) 23.25 E) 29.28 | Average of 9 = x 9x = 8 * 3 + x * 2 x = 3.25 Total = 9 * 3.25=
<gadget id="calculator">9 * 3.25</gadget>
<output>29.25</output>
29.25 Answer:29.25
<result>C</result> | C | calc |
math_qa__N0S0JoCRLQJy6IJx | How many numbers from 29 to 79 are exactly divisible by 11 Pick:
A) 5 B) 7 C) 8 D) 9 E) 11 | <gadget id="calculator">79 / 11</gadget>
<output>79/11 = around 7.181818</output>
<gadget id="calculator">floor(79/11)</gadget>
<output>7</output>
<gadget id="calculator">7 * 11</gadget>
<output>77</output>
<gadget id="calculator">29 / 11</gadget>
<output>29/11 = around 2.636364</output>
<gadget id="calculator">flo... | A | calc |
ape210k__00022983 | The train travels 94 kilometers in 2 hours. At this speed, the railway from Changsha to Beijing is 1316 kilometers long. How many hours will it take to travel? | <gadget id="calculator">94 / 2</gadget>
<output>47</output>
<gadget id="calculator">1_316 / 47</gadget>
<output>28</output>
<result>28</result> | 28 | calc |
aqua_rat__3bFlVXZqvJBM4GzW | If x and y are positive integers such that (3x + 7y) is a multiple of 11, then which of the following will be divisible by 11 ? Choose the correct choice:
A) 9
B) 11
C) 17
D) 21
E) 27 | By hit and trial, we put x = 5 and y = 1 so that (3x + 7y) = (3 x 5 + 7 x 1) = 22, which is divisible by 11. (4x + 6y) = ( 4 x 5 + 6 x 1) = 26, which is not divisible by 11; (x + y + 4 ) = (5 + 1 + 4)=
<gadget id="calculator">(5 + 1 + 4)</gadget>
<output>10</output>
10, which is not divisible by 11; (9x + 4y)= (... | B | calc |
ape210k__00614694 | Calculation: 1*2+2*5+3*8+4*11+...+20*59=how much. | <gadget id="calculator">20 + 1</gadget>
<output>21</output>
<gadget id="calculator">2 * 20</gadget>
<output>40</output>
<gadget id="calculator">40 + 1</gadget>
<output>41</output>
<gadget id="calculator">41 / 6</gadget>
<output>41/6 = around 6.833333</output>
<gadget id="calculator">3 * 20 * 21 * (41/6)</gadget>
<o... | 8_400 | calc |
ape210k__00481986 | A number is 275 less than 3480, what is this number? | <gadget id="calculator">3_480 - 275</gadget>
<output>3_205</output>
<result>3_205</result> | 3_205 | calc |
ape210k__00377977 | The divisor is 15, the quotient is 24, the remainder is 7, what is the dividend. | <gadget id="calculator">24 * 15</gadget>
<output>360</output>
<gadget id="calculator">360 + 7</gadget>
<output>367</output>
<result>367</result> | 367 | calc |
aqua_rat__TLZRjOFz9td4y80N | In a mixture of milk and water, the proportion of milk by weight was 80%. If, in a 180 gm mixture, 36 gms of pure milk is added, what would be the percentage of milk in the mixture formed? Choose the correct answer
A) 80% B) 100% C) 84% D) 87.5% E) None of these | Percentage of milk in the mixture formed = [80/100 (180) + 36] / (180 + 36) * 100% = (144 + 36)/216 * 100% = 5/6 * 100% = 83.33%. 80%NSWER:80%
<result>A</result> | A | calc |
ape210k__00735493 | fairy tale book has 416 pages, and Xiaohua reads 8 pages every day. How many days will it take to finish this fairy tale book? | <gadget id="calculator">416 / 8</gadget>
<output>52</output>
<result>52</result> | 52 | calc |
ape210k__00911127 | There are 24 pages in a photo album, and 6 photos are placed on each page. How many photos can be placed in such 3 photo albums? | <gadget id="calculator">24 * 6 * 3</gadget>
<output>432</output>
<result>432</result> | 432 | calc |
ape210k__00613551 | The ratio of the number of tourists received in the first half of a tourist attraction to the number of tourists received in the second half of the year is 3:4, the number of tourists received in the third quarter is 3/4 of that in the first half of the year, and the number of tourists received in the fourth quarter is... | <gadget id="calculator">4 / 3</gadget>
<output>4/3 = around 1.333333</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(4/3) - (3/4)</gadget>
<output>7/12 = around 0.583333</output>
<gadget id="calculator">49 / (7/12)</gadget>
<output>84</output>
<gadget id="... | 147 | calc |
aqua_rat__J3hCMirMzaFcQsF7 | If P and Q are positive integers, P - 2 is divisible by 4 and Q - 1 is divisible by 6, all of the following could be the value of P - Q Except? Choose the correct option:
A) 3 B) 1 C) 15 D) 4 E) 29 | P-2 = 4Q => P = 4Q + 2 = 2,6,10,14,18,22,26,30,34,38,42,46,50 Q-1 = 6P => Q = 6P + 1 = 1,7,13,19,25,31,37,43,49,55,61,67,73 3=10-7 1=14-13 15=34-19 29=42-13 So , we can see that all the answer choices are possible here except 4
<result>D</result> | D | calc |
ape210k__00311462 | The length of a rectangle is 9 cm and the width is 6 cm. What is its perimeter? | <gadget id="calculator">9 + 6</gadget>
<output>15</output>
<gadget id="calculator">15 * 2</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
aqua_rat__BAqmFHumqGsiee48 | How many numbers from 19 to 79 are exactly divisible by 11? Choose the correct choice from the following answers
A) 5
B) 6
C) 9
D) 11
E) 12 | 19/11 = 1 and 79/11 = 7 ==> 7 - 1=
<gadget id="calculator">7 - 1</gadget>
<output>6</output>
6 Numbers Answer : 6
<result>B</result> | B | calc |
ape210k__01203093 | The supermarket shipped 300 kilograms of cucumbers, which is 25% less than the shipment of tomatoes. How many kilograms of tomatoes were shipped? | <gadget id="calculator">25 / 100</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">300 / (3/4)</gadget>
<output>400</output>
<result>400</result> | 400 | calc |
ape210k__00364109 | Use an iron wire with a length of 24 decimeters to make the skeleton of a cuboid box. The ratio of length, width, and height is 3:2:1. What is the volume of this cuboid box in cubic decimeters? | <gadget id="calculator">24 / 4</gadget>
<output>6</output>
<gadget id="calculator">3 + 2 + 1</gadget>
<output>6</output>
<gadget id="calculator">3 / 6</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">6 * (1/2)</gadget>
<output>3</output>
<gadget id="calculator">2 / 6</gadget>
<output>1/3 = around ... | 6 | calc |
ape210k__00839277 | A pile of cement pipes has 12 layers, and the top layer has 3 pipes. In order to make the pile more stable, 1 pipe will be added in each layer, and the bottom layer has 14 pipes. How many cement pipes are there in this pile? | <gadget id="calculator">3 + 14</gadget>
<output>17</output>
<gadget id="calculator">12 / 2</gadget>
<output>6</output>
<gadget id="calculator">17 * 6</gadget>
<output>102</output>
<result>102</result> | 102 | calc |
ape210k__00659933 | The tax law stipulates that if the monthly salary exceeds 3,500 yuan but does not exceed 5,000 yuan, 3% of the excess must be paid as personal income tax. Teacher Zhang paid 15 yuan in personal income tax last month. How much salary did Teacher Zhang actually get last month? | <gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">15 / (1/20)</gadget>
<output>300</output>
<gadget id="calculator">3_500 - 15</gadget>
<output>3_485</output>
<gadget id="calculator">300 + 3_485</gadget>
<output>3_785</output>
<result>3_785</result> | 3_785 | calc |
ape210k__00946877 | There are two cylindrical containers A and B. Initially, container A contains 4 liters of water, and container B is empty. Now pour water into the two containers at a rate of 0.4 liters per minute. After 4 minutes, the water levels in the two containers are equal. Assuming that the radius of the bottom of container B i... | <gadget id="calculator">3.14 * 87.5</gadget>
<output>274.75</output>
<result>274.75</result> | 274.75 | calc |
ape210k__00491910 | Lenovo Computer Company held a "May 1st discount". The current price is 20% lower than before. Xiaohong's mother bought a computer for 2,800 yuan. How much is the original price of this computer? | <gadget id="calculator">20 / 100</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">2_800 / (4/5)</gadget>
<output>3_500</output>
<result>3_500</result> | 3_500 | calc |
aqua_rat__jsKxnLyPfwEVaUWY | If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to:
Choose the most appropriate option.
A) 11/122
B) 11/120
C) 11/121
D) 11/140
E) 11/111 | Explanation: Let the numbers be a and b. Then, a + b = 55 and ab = 5 x 120 = 600. The required sum Answer: 11/120) 11/120
<result>B</result> | B | calc |
ape210k__00395999 | 2.5/0.6 quotient 4, what is the remainder | <result>0.1</result> | 0.1 | calc |
ape210k__00251667 | A cuboid of wood has a base area of 10 square centimeters, cut it into two sections parallel to the bottom, and measure the increase in its surface area by how many square centimeters. | <gadget id="calculator">10 * 2</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
math_qa__GhLKu0iagEBjszLU | If y is 60% greater than x, than x is what % less than y?
Choose the correct answer
A) 29.3 % B) 33.4 % C) 37.5 % D) 41.6 % E) 45.7 % | <gadget id="calculator">60 + 100</gadget>
<output>160</output>
<gadget id="calculator">60 / 160</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">(3/8) * 100</gadget>
<output>75/2 = around 37.5</output>
<result>C</result> | C | calc |
ape210k__00864021 | new batch of sportswear in the mall, when 60% of the total is sold, just recovers 80% of the total cost; due to the season change, the remaining sportswear is going to be sold at a 10% discount. When the mall sells all the sportswear, what is the total profit of the store? | <gadget id="calculator">7 / 25</gadget>
<output>7/25 = around 0.28</output>
<result>7/25 = around 0.28</result> | 7/25 | calc |
aqua_rat__pA8qB0uS4j5X0BKg | A three-character password consists of one letter of the alphabet and three different digits between 0 and 9, inclusive. The letter must appear as the second or third character of the password. How many different passwords are possible?
Choose the correct choice from the following options
A) 4,680
B) 18,720
C) 26,000
D... | 4 character password: DLDD First digit can be chosen in 10 ways. The letter can be chosen in 26 ways. Next digit can be chosen in 9 ways. This gives us 10*26*9ways Now, the letter can also be DDLD so there will be another 10*9*26 ways Total = 10*26*9*2=
<gadget id="calculator">10*26*9*2</gadget>
<output>4_... | A | calc |
aqua_rat__kYWPRTHgBNw5fvx0 | The probability that a brand A widget is defective is x, the probability that a brand B widget is defective is 0.06, and the probability that a brand C widget is defective is 0.08. There are 40 brand A widgets, 35 brand B widgets, 25 brand C widgets, and nothing else in a container. If a widget is selected at random fr... | Given probability of defective items in each brand, So, the number of items defective in brand A=x*40, in brand B=0.06*35 and brand 0.025=0.08*25 Total number of widgets=40+35+25=
<gadget id="calculator">40+35+25</gadget>
<output>100</output>
100 the probability that the widget selected is defective is 0.051=(x*... | C | calc |
ape210k__00318744 | 18 times a number is 972, find this number. | <gadget id="calculator">972 / 18</gadget>
<output>54</output>
<result>54</result> | 54 | calc |
aqua_rat__0kFXhuFdcv3wx4AF | Find the greatest number that will divide 400, 435 and 541 leaving 9, 10 and 14 as remainders respectively Choices.
A) 19 B) 17 C) 13 D) 15 E) 18 | Explanation: Trick is HCF of (400-9, 435-10, 541-14) HCF of (391, 425, 527) = 17 Option 17
<result>B</result> | B | calc |
aqua_rat__wQLqnC4s4EhgWwOT | A shopkeeper sold a TV set for 17940, at a discount of 8 % and gained 19.6 %.If no discount is allowed, what will be his gain per cent?
Choose the correct choice from the following choices:
A) 25 % B) 36.4 % C) 24.8 % D) Can’t be determined E) None of these | If no discount is given,selling price of TV = 17940 × 100⁄92 = 19500 Cost price of TV = 17940×100/119.60x15000 Gain % = 19500−15000/15000×100= 30 % Answer None of these
<result>E</result> | E | calc |
ape210k__00724209 | Cut a (1/5) meter long iron wire into two equal pieces, what is the length of each piece of the total length | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<result>1/2 = around 0.5</result> | 1/2 | calc |
ape210k__00250928 | An engineering team plans to complete a project with 100 people in 90 days. After 15 days of work as planned, everyone's work efficiency can be increased by 50% due to the adoption of advanced technology. How much can the project be completed in advance? | <gadget id="calculator">90 - 15</gadget>
<output>75</output>
<gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 + (1/2)</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">1 / (3/2)</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculat... | 25 | calc |
ape210k__00319550 | The volume of a cone is 18 cubic decimeters, the height is 6 decimeters, what is the area of the base? | <gadget id="calculator">3 / 6</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">18 * (1/2)</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
aqua_rat__4UYYBHZxF27GV01X | A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water? Choose the correct choice from the following:
A) 9 B) 8 C) 6 D) 1 E) 2 | 30 --- 3 DS = 10 ? ---- 1 18 ---- 3 US = 6 ? ---- 1 M = ? M = (10 + 6)/2=
<gadget id="calculator">(10 + 6)/2</gadget>
<output>8</output>
8 Answer: 8
<result>B</result> | B | calc |
ape210k__00276484 | The length of the railway between the two cities is 360 kilometers. On a map with a scale of 1:4,000,000, how many centimeters should it draw? | <gadget id="calculator">1 / 4_000_000</gadget>
<output>1/4_000_000 = around 0</output>
<gadget id="calculator">360 * 100_000 * (1/4_000_000)</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
math_qa__ysT8O8oDMiEMJsXO | Eight cubes, each with a volume of 512 cm^3, are joined to form one large cube. What is the surface area of the large cube? Choose the correct choice from the following: A) 4096 sq cm B) 1536 sq cm C) 1024 sq cm D) 2048 sq cm E) 512 sq cm | <gadget id="calculator">2 * 4</gadget>
<output>8</output>
<gadget id="calculator">8 * 512</gadget>
<output>4_096</output>
<gadget id="calculator">4_096 ** (1/3)</gadget>
<output>16</output>
<gadget id="calculator">6 * (16 ** 2)</gadget>
<output>1_536</output>
<result>B</result> | B | calc |
gsm8k__fr3ChCez5bwUd63o | John is holding a poker night with his friends and is getting the decks of cards ready before his friends show up. After losing so many cards from various decks, John thinks he needs to count exactly how many cards he has to make sure he has enough full decks for the night. Each deck of cards should hold 52 cards. He f... | In the full decks, John has a total of 52 cards in a full deck of cards * 3 full decks of cards =
<gadget id="calculator">52*3</gadget>
<output>156</output>
156 cards.
A half-full deck of cards contains 52 cards in a full deck of cards / 2 =
<gadget id="calculator">52/2</gadget>
<output>26</output>
26 cards.
So from ... | 200 | calc |
ape210k__00728683 | The decimal point of a decimal is moved to the right two places first, and then reduced by 1000 times, the result is ((())/(())) of the original number. | <gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<result>1/10 = around 0.1</result> | 1/10 | calc |
ape210k__00893137 | A trapezoid has an average height of 20 cm and a base of 30 cm. What is the area of this trapezoid in square centimeters? | <gadget id="calculator">20 / 2</gadget>
<output>10</output>
<gadget id="calculator">30 * 2 * 10</gadget>
<output>600</output>
<result>600</result> | 600 | calc |
ape210k__01171061 | If a cuboid with a length of 12 decimeters, a width of 6 decimeters and a height of 10 decimeters is cut into three identical small cuboids, how much square decimeters can its surface area be increased at most? | <gadget id="calculator">12 * 10 * 4</gadget>
<output>480</output>
<result>480</result> | 480 | calc |
ape210k__00037519 | A car travels from A to B at 54 kilometers per hour, and returns at 45 kilometers per hour. It takes 11 hours to go back and forth. How many kilometers is the total length from A to B? | <gadget id="calculator">45 * 11</gadget>
<output>495</output>
<gadget id="calculator">54 + 45</gadget>
<output>99</output>
<gadget id="calculator">495 / 99</gadget>
<output>5</output>
<gadget id="calculator">54 * 5</gadget>
<output>270</output>
<result>270</result> | 270 | calc |
ape210k__00838457 | Scientific research shows that the ratio of the distance from the top of the head to the navel (ie the height of the upper body) to the distance from the navel to the bottom of the feet (ie the height of the lower body) of an adult is the most beautiful when it is 0.618. The height of an adult woman is 1.58 meters, and... | <gadget id="calculator">0.618 * 61.8</gadget>
<output>38.1924</output>
<gadget id="calculator">0.618 * 1.58 * 100</gadget>
<output>97.644</output>
<gadget id="calculator">38.1924 - 97.644</gadget>
<output>-59.4516</output>
<gadget id="calculator">61.8 + (-59.4516)</gadget>
<output>2.3484</output>
<gadget id="calcul... | 3.8 | calc |
ape210k__00535342 | On a map with a scale of 1:2000000, the distance between a and b is 3.5 cm, so how many kilometers is the actual distance between a and b? | <gadget id="calculator">1 / 2_000_000</gadget>
<output>1/2_000_000 = around 0</output>
<gadget id="calculator">3.5 / (1/2_000_000) / 100_000</gadget>
<output>70</output>
<result>70</result> | 70 | calc |
aqua_rat__fIlCGkoiBo3MjGi7 | A worker makes a toy in every 3h. If he works for 150h, then how many toys will he make ?
Select the correct option.
A) 40 B) 54 C) 45 D) 50 E) None | No. of toys = 150/3=
<gadget id="calculator">150/3</gadget>
<output>50</output>
50 Answer : 50
<result>D</result> | D | calc |
aqua_rat__FPZyWF8bnpvrHgTB | If x and y are integers, and x/y is not an integer then which of the following must be true? Answers
A) x is odd and y is even B) x is odd and y is odd. C) x is even and y is odd D) x<y E) None of the above | x and y could be co-primes Answer could be None of the above
<result>E</result> | E | calc |
ape210k__00254560 | (1/2)+(1/6)+(1/12)+(1/20)+...+(1/90). | <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>
<result>9/10 = around 0.9</result> | 9/10 | calc |
aqua_rat__D9Qm91PEDNt1iZUc | If A, B and C together can finish a piece of work in 4 days. A alone in 12 days and B in 18 days, then C alone can do it in? Choose the most appropriate option:
A) 8 B) 6 C) 5 D) 9 E) 1 | C = 1/4 - 1/12 – 1/18 = 1/9 => 9 days Answer: 9
<result>D</result> | D | calc |
ape210k__00445594 | The electric vehicle factory produced 800,000 electric vehicles last year, a 25% increase from the previous year. How many cars were produced last year? | <gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 + (1/4)</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">80 * (5/4)</gadget>
<output>100</output>
<result>100</result> | 100 | calc |
ape210k__00279981 | Uncle Monkey distributed some bananas to some little monkeys. If each little monkey gets 4 bananas, then there are 24 more bananas; if each little monkey gets 6 bananas, then there are 8 more bananas. So, how many bananas can each little monkey divide exactly? | <gadget id="calculator">24 - 8</gadget>
<output>16</output>
<gadget id="calculator">6 - 4</gadget>
<output>2</output>
<gadget id="calculator">16 / 2</gadget>
<output>8</output>
<gadget id="calculator">8 * 4</gadget>
<output>32</output>
<gadget id="calculator">32 + 24</gadget>
<output>56</output>
<gadget id="calcul... | 7 | calc |
aqua_rat__5MAcBV6L6W4IXE9y | A certain boxer has agreed to pay his opponent a fee of 2.5% of his total purse for every pound over the specified weight limit he weighs in. If the boxer pays his opponent a fee of $225,000 after weighing in seven pounds over the specified limit, what was the boxer's purse?
Choose the correct choice
A) $65,625 B) $105... | .025*7=
<gadget id="calculator">.025*7</gadget>
<output>0.175</output>
.175 225000/.175= $1,285,714 Answer: $1,285,714
<result>E</result> | E | calc |
aqua_rat__s1Vk6E4HJ2aKso6S | Find the principle on a certain sum of money at 5% per annum for 3 1/5 years if the amount being Rs.1740? Choose the correct choice from the following answers
A) Rs.1000 B) Rs.1550 C) Rs.1510 D) Rs.1500 E) None of these | Explanation: 1740 = P [1 + (5*16/5)/100] P= 1500 Answer: Option Rs.1500
<result>D</result> | D | calc |
aqua_rat__vqTg7fnMbZ26rrRw | Find the number which when multiplied by 15 is increased by 196 Pick one: A) 10 B) 12 C) 14 D) 16 E) 18 | Explanation: Let the number be x. Then, 15x = x + 196 =› 14 x= 196 =› x = 14. Option 14
<result>C</result> | C | calc |
aqua_rat__x9ZMQLmEE4GxMluF | By selling 33 metres of wire, a shopkeeper gains the price of 11 metres of wire. His gain per cent is Choose the correct choice.
A) 7% B) 50% C) 20% D) 22% E) 32% | Suppose S.P of 33 meters of cloth = Rs 33 Therefore, Gain = Rs 11 => C.P = Rs 22 Gain % = 11/22 x 100 = 50% Gain = 50% ANSWER:50%
<result>B</result> | B | calc |
gsm8k__6QbNUFay04PYahMn | Bill's take-home salary is $40,000. He pays $2,000 in property taxes, $3,000 in sales taxes, and 10% of his gross salary in income taxes. What is Bill's gross salary? | First, figure out how much Bill has before he pays property taxes: $40,000 + $2,000 = $
<gadget id="calculator">40000+2000</gadget>
<output>42_000</output>
42,000.
Then, figure out how much Bill has before he pays sales taxes: $42,000 + $3,000 = $
<gadget id="calculator">42000+3000</gadget>
<output>45_000</output>
45,0... | 50_000 | calc |
ape210k__00183038 | Put together some rectangular cardboards with a length of 9 cm and a width of 6 cm to form a large square, at least how many such rectangular cardboards are needed. | <gadget id="calculator">3 / 9</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">6 * (1/3)</gadget>
<output>2</output>
<gadget id="calculator">3 / 6</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">6 * (1/2)</gadget>
<output>3</output>
<gadget id="calculator">2 * 3</gadget>
<o... | 6 | calc |
ape210k__00061957 | Xiao Min’s family paid 30 yuan for electricity last month, and this month’s electricity bill is 2/3 more than last month. How much more is her family’s electricity bill this month? | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">1 + (2/3)</gadget>
<output>5/3 = around 1.666667</output>
<gadget id="calculator">30 * (5/3)</gadget>
<output>50</output>
<result>50</result> | 50 | calc |
ape210k__00985139 | The starting price of a taxi in a certain city is 5 yuan within 3 kilometers, and 1.5 yuan per kilometer thereafter (less than 1 kilometer is counted as 1 kilometer). How much should someone pay to travel 5.1 kilometers in a taxi? | <gadget id="calculator">3 * 1.5</gadget>
<output>4.5</output>
<gadget id="calculator">4.5 + 5</gadget>
<output>9.5</output>
<result>9.5</result> | 9.5 | calc |
ape210k__00229353 | A's age is 4 times less than B's age by 3, A's age in 3 years is equal to B's age in 9 years, how old is A now? | <gadget id="calculator">9 - 3</gadget>
<output>6</output>
<gadget id="calculator">6 + 3</gadget>
<output>9</output>
<gadget id="calculator">4 - 1</gadget>
<output>3</output>
<gadget id="calculator">9 / 3</gadget>
<output>3</output>
<gadget id="calculator">3 + 6</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
aqua_rat__DDNz6rD4rgNgv0Ub | The length of the bridge, which a train 130 meters long and travelling at 45 km/hr can cross in 30 seconds, is? Pick:
A) 288 B) 266 C) 245 D) 298 E) 211 | Speed = (45 * 5/18) m/sec = (25/2) m/sec. Time = 30 sec. Let the length of bridge be x meters. Then, (130 + X)/30 = 25/2 ==> 2(130 + X) = 750 ==> X = 245 m. Answer: 245
<result>C</result> | C | calc |
aqua_rat__Ghh88rbWskBqnYhz | Machine A can finish a job in 4 hours, Machine В can finish the job in 12 hours, and Machine С can finish the job in 8 hours. How many hours will it take for A, B, and С together to finish the job? Choose the correct choice from the following answers: A) 15/4 B) 18/7 C) 21/8 D) 24/11 E) 28/13 | The combined rate is 1/4+1/12+1/8 = 11/24 of the job per hour. The time to complete the job is 24/11 hours. The answer is 24/11.
<result>D</result> | D | calc |
gsm8k__obtQpBjfk4gt25oY | At the bake sale, Tamara makes $32 from the brownies. She made 2 pans of brownies which were all sold. The brownies were cut into 8 big square pieces. How much did each brownie cost? | Tamara had 2 x 8 =
<gadget id="calculator">2*8</gadget>
<output>16</output>
16 big square brownie pieces.
Each brownie piece cost $32 / 16 = $
<gadget id="calculator">32/16</gadget>
<output>2</output>
2.
<result>2</result> | 2 | calc |
aqua_rat__AcTJGMbLiJQO64fp | In the x- y plane, there are 4 points (0,0), (0,4), (5,4), and (5,0). If these 4 points makes a rectangle, what is the probability that x+y<4? Choose the correct answer
A) 2/3 B) 2/5 C) 3/4 D) 3/7 E) 5/8 | The line y=-x+4 intersects the rectangle and these three points of intersection (0,0), (0,4) and (4,0) form a triangle. The points below the line y=-x+4 satisfy x+y<4. The area of this triangle is (1/2)(4)(4)=8 The area of the rectangle is 20. P(x+y<4) = 8/20 = 2/5 The answer is 2/5.
<result>B</result> | B | calc |
aqua_rat__UlGtOpEImxn5s68T | There are 12 person among whom 2 are brother. The total no.of ways in which these persons can be seated around a round table so that exactly 1 person sit between the brothers, is equal to? Choices:
A) 9!*2!
B) 7!*2!
C) 6!*1!
D) 2!*1!
E) 5!*1! | Total number of ways = 9!*2!. 9!*2!
<result>A</result> | A | calc |
aqua_rat__hzpaq1BWHwjthyJJ | Helen went to the stationers and bought things worth Euro 50, 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 correct choice from the following answers: A) Euro 15 B) Euro 15.7 C) Euro 19.7 D) Euro 44.7 E) None | Explanation: Let the amount taxable purchases be Euro x. Then, 6% of x = 30/100 x = (30/100 x 100/6) = 5. Cost of tax free items = Euro [50 - (5 + 0.30)=
<gadget id="calculator">50 - (5 + 0.30)</gadget>
<output>44.7</output>
Euro 44.70 Answer: Option Euro 44.7
<result>D</result> | D | calc |
ape210k__00627730 | 70 floats lined up to participate in the May 1st parade. Each float is 5 meters long, and the distance between the floats is 6 meters. How many meters is the length of this row of floats? | <gadget id="calculator">70 - 1</gadget>
<output>69</output>
<gadget id="calculator">69 * 6</gadget>
<output>414</output>
<gadget id="calculator">5 * 70</gadget>
<output>350</output>
<gadget id="calculator">414 + 350</gadget>
<output>764</output>
<result>764</result> | 764 | calc |
ape210k__01134703 | Five years ago, Dad's age was 5 times that of Rarity's. Five years later, the combined age of Dad and Rarity is 64 years old. How old is Dad this year? | <gadget id="calculator">64 - 5 - 5</gadget>
<output>54</output>
<gadget id="calculator">1 + 5</gadget>
<output>6</output>
<gadget id="calculator">54 / 6</gadget>
<output>9</output>
<gadget id="calculator">5 * 9</gadget>
<output>45</output>
<gadget id="calculator">5 + 45</gadget>
<output>50</output>
<result>50</res... | 50 | calc |
math_qa__frOSwm9T9BtZVYrL | A, B and C, each working alone can complete a job in 6, 8 and 12 days respectively. If all three of them work together to complete a job and earn $ 2340, what will be B's share of the earnings? Options.
A) $ 1100 B) $ 520 C) $ 780 D) $ 1170 E) $ 630 | <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 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(1/6) + (1/8)</gadget>
<output>7/24 = around 0.291667</outpu... | C | calc |
ape210k__00259455 | certain army conducts field military training, travels 7.5 kilometers per hour when going there, and arrives in 6 hours. It takes 5 hours to return due to an urgent task. How many kilometers per hour do you travel on average when you return? (Solution by proportional method) | <gadget id="calculator">7.5 * 6</gadget>
<output>45</output>
<gadget id="calculator">45 / 5</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
math_qa__Rq9pKyMj4G9bdIZk | What is the smallest integer c for which 27^c> 3^24? Pick one
A) 7
B) 8
C) 9
D) 10
E) 12 | <gadget id="calculator">24 / 3</gadget>
<output>8</output>
<gadget id="calculator">floor(8)</gadget>
<output>8</output>
<gadget id="calculator">8 + 1</gadget>
<output>9</output>
<result>C</result> | C | calc |
ape210k__00950385 | For a bag of candy, the teacher first gave all (1/3) to Mingming, then gave the remaining (1/5) less 3 pieces to Honghong, and finally gave the rest of the candy to Fangfang. In this way, Fangfang got 21 more pieces of sugar than Mingming. How many pieces did the bag of sugar have in total? | <gadget id="calculator">21 - 3</gadget>
<output>18</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/3) * (1/5)</gadget>
<output>1/15 = around 0.066667</output>
<gadget id="calcul... | 90 | calc |
ape210k__00113397 | The grain store shipped 30 bags of rice and 40 bags of flour, a total of 2,500 kilograms, and each bag of rice was 50 kilograms. How many kilograms of flour per bag? | <gadget id="calculator">50 * 30</gadget>
<output>1_500</output>
<gadget id="calculator">2_500 - 1_500</gadget>
<output>1_000</output>
<gadget id="calculator">1_000 / 40</gadget>
<output>25</output>
<result>25</result> | 25 | calc |
ape210k__00980209 | 1.2 Divide the quotient of 4.23, plus the product of 5.8 and 6.3, what is the sum? | <gadget id="calculator">4.23 / 1.2</gadget>
<output>3.525</output>
<gadget id="calculator">5.8 * 6.3</gadget>
<output>36.54</output>
<gadget id="calculator">3.525 + 36.54</gadget>
<output>40.065</output>
<result>40.065</result> | 40.065 | calc |
gsm8k__AOiJb4oRVY8aihmg | Cheryl got angry with her sister and decided to run away from home. She walked 2 miles every hour for 3 hours. Then she got homesick and walked back home. How many miles did Cheryl walk in total? | Cheryl walked 2 miles x 3 hours =
<gadget id="calculator">2*3</gadget>
<output>6</output>
6 miles.
Once Cheryl was 6 miles away, she walked back home, another 6 miles, so she walked 6 + 6 =
<gadget id="calculator">6+6</gadget>
<output>12</output>
12 miles.
<result>12</result> | 12 | calc |
ape210k__00140459 | Fangfang's bedroom is paved with 60 floor tiles with a side length of 40 cm. What is the area of this bedroom in about square meters? | <gadget id="calculator">0.4 * 0.4</gadget>
<output>0.16</output>
<gadget id="calculator">0.16 * 60</gadget>
<output>9.6</output>
<result>9.6</result> | 9.6 | calc |
ape210k__01014485 | batch of children's toys is priced at a profit of 40% of the cost. After selling 70% of the goods, in order to sell the remaining toys as soon as possible, the store decides to sell the remaining toys at a discount, so that the total profit obtained is equal to the original expected profit. 79%, and the rest are sold a... | <result>8</result> | 8 | calc |
aqua_rat__DOKyyXm4wgGO4aC2 | Ganesh spends 30% of his monthly salary on food, 5% of the remaining on personal use and saves 80% of the remaining amount. If his monthly salary is Rs.12,000, how much money does he save every month ? Choose the correct choice from the following answers
A) Rs.3500 B) Rs.4200 C) Rs.2000 D) Rs.1245 E) Rs. 6384 | Explanation: Ganesh's monthly income = Rs.12,000 He spends 30% on food. The total money spent on food = 30/100 * 12000 = Rs. 3600 Now, his monthly remaining income = Rs.12000 – Rs.3600 = Rs. 8400 Out of Rs. 8400, he spends 5% for his personal use The total money spent on his personal use = 5/100 * 8400 = Rs... | E | calc |
ape210k__00252797 | Liu Yun mixed 1 part of honey with 8 parts of water to prepare 450 ml of honey water. How many ml of honey did he use? | <gadget id="calculator">1 + 8</gadget>
<output>9</output>
<gadget id="calculator">1 / 9</gadget>
<output>1/9 = around 0.111111</output>
<gadget id="calculator">450 * (1/9)</gadget>
<output>50</output>
<result>50</result> | 50 | calc |
aqua_rat__aZLxqA16TFa1su1F | How many years will it take my savings account initial deposit to double given that I receive just 2% per annum simple interest on the deposited money. Choose the correct choice from the following answers: A) 50 B) 45 C) 55 D) 35 E) 40 | P = (P*2*R)/100 100P = P*2*R 100 = 2R Therefore R = 50 Years 50= 50
<result>A</result> | A | calc |
ape210k__00715197 | 3 cakes of the same size are distributed to 8 students on average, and each person gets ((())/(())) of these breads. | <gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<result>1/8 = around 0.125</result> | 1/8 | calc |
aqua_rat__HW85ErFshakltUo4 | All the students of class are told to sit in circle shape. Here the boy at the 8 th position is exactly opposite to 33 th boy. Total number of boys in the class? Select the correct option:
A) 40
B) 50
C) 28
D) 38
E) 48 | As half the circle shape consist of 33-8=
<gadget id="calculator">33-8</gadget>
<output>25</output>
25 boys, So total number of boys in full circle=2*25=
<gadget id="calculator">2*25</gadget>
<output>50</output>
50 ANSWER: 50
<result>B</result> | B | calc |
aqua_rat__VWMDhbdW8hmFdJt6 | In a series of consecutive odd numbers, 27 is the seventh smallest number and 25 is the tenth largest number. What is the range of the series?
Select.
A) 32 B) 30 C) 29 D) 28 E) 14 | Imp:All are consecutive odd numbers. 27 is the 8th smallest ,there are 6 numbers smaller then 27 ,smallest number : 27-12=
<gadget id="calculator"> 27-12</gadget>
<output>15</output>
15 25 is the 10th largest ,so there are 9 numbers larger then 25, largest number: 25+18=
<gadget id="calculator"> 25+18</gadget>
... | D | calc |
ape210k__00326582 | A rectangular pond is 100 meters long and 40 meters wide, and a tree is planted every 2 meters beside the pond. How many trees should be planted in total? | <gadget id="calculator">100 * 2</gadget>
<output>200</output>
<gadget id="calculator">40 * 2</gadget>
<output>80</output>
<gadget id="calculator">200 + 80</gadget>
<output>280</output>
<gadget id="calculator">280 / 2</gadget>
<output>140</output>
<result>140</result> | 140 | calc |
ape210k__01160217 | How many consecutive 5s are subtracted from 605, and the result is 0. | <gadget id="calculator">605 / 5</gadget>
<output>121</output>
<result>121</result> | 121 | calc |
math_qa__TEtByIorBpU8Ipjr | Find the area of a rhombus one side of which measures 20 cm and one diagonal is 25 cm. Choose the correct choice from the following answers.
A) 700 cm 2
B) 600 cm 2
C) 500 cm 2
D) 400 cm 2
E) 100 cm 2 | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) * 25</gadget>
<output>25/2 = around 12.5</output>
<gadget id="calculator">20 * 20</gadget>
<output>400</output>
<gadget id="calculator">400 * 4</gadget>
<output>1_600</output>
<gadget id="calculator">25 * 25</gadg... | D | calc |
ape210k__00422534 | Divide 12 apples evenly among 4 people, and each person gets ((())/(())) of the total number of apples, how many apples do 3 people get. | <gadget id="calculator">12 / 4</gadget>
<output>3</output>
<gadget id="calculator">3 * 3</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
aqua_rat__2JANCvupQmAPTwCN | The average age of three boys is 25 years and their ages are in proportion 3:5:7. What is the age in years of the youngest boy? Choose the correct choice from the following options:
A) 6 B) 9 C) 6 D) 4 E) 15 | 3x + 5x + 7x = 75 x =5 3x = 15 Answer:15
<result>E</result> | E | calc |
ape210k__00778873 | □60/48, if the quotient is two digits, what is the minimum number in □. | <result>5</result> | 5 | calc |
aqua_rat__hmUPvEIjB5fnc1Fm | By selling 32 pencils for a rupee a man loses 60%. How many for a rupee should he sell in order to gain 60%?
Choose one.
A) 10 B) 9 C) 8 D) 6 E) 4 | 40% --- 40 160% --- ? 40/160 * 40=
<gadget id="calculator"> 40/160 * 40</gadget>
<output>10</output>
10 10nswer: 10
<result>A</result> | A | calc |
ape210k__00247007 | Cars A and B start from places A and B respectively and drive toward each other. When starting out, the speed ratio of A and B is 5:4. After meeting, A’s speed decreases by 20%, and B’s speed increases by 20%. In this way, when A reaches point B, B is still 10 kilometers away from point A. So how far is the distance be... | <gadget id="calculator">4 + 5</gadget>
<output>9</output>
<gadget id="calculator">4 / 9</gadget>
<output>4/9 = around 0.444444</output>
<gadget id="calculator">20 / 100</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">5 *... | 450 | calc |
gsm8k__vgwfxR10gyeoiSU6 | Two boys, Ben and Leo, are fond of playing marbles. Ben has 56 marbles, while Leo has 20 more marbles than Ben. They put the marbles in one jar. How many marbles in the jar? | Leo has 56 + 20 =
<gadget id="calculator">56+20</gadget>
<output>76</output>
76 marbles.
Therefore, there are 56 + 76 =
<gadget id="calculator">56+76</gadget>
<output>132</output>
132 marbles in the jar.
<result>132</result> | 132 | calc |
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