id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
aqua_rat__Fjst7hH4ONgJIiZ6 | What is the least common multiple of 15, 18, and 34? Choose the correct choice from the following options: A) 60 B) 120 C) 240 D) 360 E) 1530 | Let us first write the numbers in the form of prime factors: 15 = 3*5 18 = 2*3^2 34 = 2 * 17^1 The LCM would be the largest powers of the prime numbers from all these three numbers. Hence LCM = 1530 Option 1530
<result>E</result> | E | calc |
aqua_rat__5ukeCy1YlcTkhJCy | The greatest number of four digits which is divisible by 25, 40, 54 and 75 is: Answers: A) 5000 B) 5400 C) 5600 D) 5800 E) 5200 | Greatest number of 4-digits is 9999. L.C.M. of 25, 40, 54 and 75 is 600. On dividing 9999 by 5400, the remainder is 4599. Required number (9999 - 4599)=
<gadget id="calculator"> (9999 - 4599)</gadget>
<output>5_400</output>
5400. Answer: Option 5400
<result>B</result> | B | calc |
aqua_rat__hW9vBUhBKaWyDB1t | The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is? Pick
A) 8% B) 4% C) 6% D) 3% E) 1% | 65*(90/100)*((100-x)/100) = 56.16 x = 4% Answer: 4%
<result>B</result> | B | calc |
aqua_rat__8ZSxfTvpNW0z0CgQ | If logx y =100 and log2 x =10, then the values of y is Answers.
A) 2(10) B) 2 (100) C) 2 (1000) D) 2 (10000) E) None of these | Solution log2 x = 10 x= 210 logx y = 100 y= x100 =(210)100 y‹=›2(1000) Answer 2 (10000)
<result>D</result> | D | calc |
ape210k__00284528 | Xiao Ming’s family used 150 kWh of electricity in February and 120 kWh in March. How many percent did you save electricity in March compared to February? | <gadget id="calculator">150 - 120</gadget>
<output>30</output>
<gadget id="calculator">30 / 150</gadget>
<output>1/5 = around 0.2</output>
<result>1/5 = around 0.2</result> | 1/5 | calc |
ape210k__00148771 | According to the rules in 1, (1/3), (1/9), (1/27)... How much should be filled in next | <gadget id="calculator">1 / 27</gadget>
<output>1/27 = around 0.037037</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/27) * (1/3)</gadget>
<output>1/81 = around 0.012346</output>
<result>1/81 = around 0.012346</result> | 1/81 | calc |
math_qa__fJnC9h8xro3nl60o | Calculate the number of urns of water needed to fill a tank of dimensions of 10x10x5m to 90% full, if the volume of the urn is 0.8m3 and can only be filled to 80%. Answers: A) 520 B) 650.2 C) 685.5 D) 703.1 E) 712.2 | <gadget id="calculator">10 * 10</gadget>
<output>100</output>
<gadget id="calculator">100 * 5</gadget>
<output>500</output>
<gadget id="calculator">500 * 90</gadget>
<output>45_000</output>
<gadget id="calculator">45_000 / 100</gadget>
<output>450</output>
<gadget id="calculator">0.8 * 80</gadget>
<output>64</outpu... | D | calc |
ape210k__00039153 | A book, read every day (1/12), the number of people who read this book in 6 days. | <gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">(1/12) * 6</gadget>
<output>1/2 = around 0.5</output>
<result>1/2 = around 0.5</result> | 1/2 | calc |
ape210k__00613485 | To make a cuboid ventilation pipe with a length of 18 meters, a cross section with a length of 45 centimeters and a width of 30 centimeters, how many square meters of iron sheets are needed to make this ventilation pipe? | <gadget id="calculator">45 / 100</gadget>
<output>9/20 = around 0.45</output>
<gadget id="calculator">(9/20) * 18 * 2</gadget>
<output>81/5 = around 16.2</output>
<gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">(3/10) * 18 * 2</gadget>
<output>54/5 = around 10.8</... | 27 | calc |
ape210k__00196691 | "144/36", the dividend is expanded by 10 times, and the divisor remains the same, how many times the quotient is expanded | <result>10</result> | 10 | calc |
ape210k__00415126 | In the orchard last year, each apple tree produced an average of 120kg of apples. This year, each apple tree produced more apples (1/4) than last year. How many kilograms of apples did each apple tree produce on average this year? | <gadget id="calculator">1 / 4</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">120 * (5/4)</gadget>
<output>150</output>
<result>150</result> | 150 | calc |
aqua_rat__ZGoye29Xviu4bb12 | The mass of 1 cubic meter of a substance is 200 kilograms under certain conditions. What is the volume, in cubic centimeters, of 1 gram of this substance under these conditions? (1 kilogram = 1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters)
Choose the correct choice from the following answers: A) 0.8 B) 1... | Density is mass divided by volume. So density of the given substance will be mass/volume=200kg/1m^3=800 kg/m^3 or 1g/5cm^3=0.2 g/cm^3. Next, ask yourself if 200,000 g is equivalent to 1,000,000 cubic centimeters then 1 g is equivalent to how many cubic centimeters? --> 1 g - 1,000,000/800,000 = 10/2=
<gadget id="... | E | calc |
aqua_rat__LoGORzJCBUqfXdzv | The apartment on King-Williams street is an asset that its value is tramping about. From the year 1973 to 1983 it's value decreased by 16% and from 1983 to 1993 it's value increased by 16%. What is the value of the asset in 1993 if in 1973 it was worth $20,000? Select: A) $38,796. B) $40,000. C) $19,488. D) $39,679. E)... | 20,000 *1.16*.84= Unit and tens digit of the expression is 6 and 7 respectively. Only option $19,488. fulfills the condition and hence is the answer
<result>C</result> | C | calc |
ape210k__00854583 | The farm bought 3 chicken coops, each coop has 3 floors, and each floor raises 26 chickens. How many chickens can be raised in total? | <gadget id="calculator">26 * 3 * 3</gadget>
<output>234</output>
<result>234</result> | 234 | calc |
ape210k__00567930 | If a cone with a base area of 15 cm2 and a height of 4 cm is completely submerged in a container filled with water, how many cubic centimeters of water will overflow? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/3) * 15 * 4</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
aqua_rat__AaJhjfJxINWckD0H | Find the distance covered by a man walking for 30min at a speed of 10km/hr? Choose the correct choice from the following.
A) 1km B) 3km C) 4km D) 5km E) 6km | 5kmistance = 10*20/60 = 5km Answer is 5km
<result>D</result> | D | calc |
aqua_rat__PA8uBsbfZ6lz4ctH | By selling a bat for Rs.360/- a man loses 10% what is that bat cost price
Answers
A) s.400/- B) s.630/- C) s.700/- D) s.780/- E) s.800/- | 90 % ------> 360 (90 * 4 = 360) 100 % ------>400 (100 * 4 = 400) Cost price = Rs.400/- s.400/-)
<result>A</result> | A | calc |
gsm8k__1PqKYVHNv5rCUMSj | Davante has twice as many friends as there are days in the week. 3 of his friends are girls. How many friends does he have that are boys? | Davante has 14 friends because 2 times 7 equals
<gadget id="calculator">2*7</gadget>
<output>14</output>
14.
Davante has 11 friends who are boys because 14-3 equals
<gadget id="calculator">11</gadget>
<output>11</output>
11.
<result>11</result> | 11 | calc |
ape210k__00042027 | A batch of brooms, no matter it is divided into 15 classes, 6 classes or 10 classes, is just finished. How many brooms are there at least in this batch? | <gadget id="calculator">2 * 3 * 5</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
aqua_rat__ouriG2yBXDe5vXdM | Thabo owns exactly 220 books, and each book is either paperback fiction, paperback nonfiction, or hardcover nonfiction. If he owns 20 more paperback nonfiction books than hardcover nonfiction books, and twice as many paperback fiction books as paperback nonfiction books, how many hardcover books nonfiction books does T... | I think we can use double-matrix method and solve using only one variable. Our goal is to find the number of hardcover nonfiction books. Let that number be x. We are given that all 140 books are either paperback fiction, paperback nonfiction, or hardcover nonfiction. This implies that number of hardcover fiction book... | D | calc |
ape210k__00572181 | The original price of a commodity is 400 yuan, and now it is sold at a 20% discount. What is the current price? | <gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">400 * (4/5)</gadget>
<output>320</output>
<result>320</result> | 320 | calc |
math_qa__DW4AOAcUpzBYljav | Working at a constant rate, P can finish a job in 3 hours. Q, also working at a constant rate, can finish the same job in 9 hours. If they work together for 2 hours, how many more minutes will it take P to finish the job, working alone at his constant rate? Choose the correct choice from the following options: A) 20 ... | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 / 9</gadget>
<output>1/9 = around 0.111111</output>
<gadget id="calculator">(1/3) + (1/9)</gadget>
<output>4/9 = around 0.444444</output>
<gadget id="calculator">(4/9) * 2</gadget>
<output>8/9 = around 0.888889</o... | A | calc |
ape210k__00757867 | Grandpa Wang uses (1/4) of the total land area of his family to grow eggplants, (3/5) to grow cucumbers, and the rest to grow tomatoes. What percentage of the total area is planted with tomatoes? | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 - (1/4) - (3/5)</gadget>
<output>3/20 = around 0.15</output>
<result>3/20 = around 0.15</result> | 3/20 | calc |
ape210k__00571193 | A piece of iron wire is 33 meters after cutting 12%, how many meters is this iron wire in total? | <gadget id="calculator">12 / 100</gadget>
<output>3/25 = around 0.12</output>
<gadget id="calculator">1 - (3/25)</gadget>
<output>22/25 = around 0.88</output>
<gadget id="calculator">33 / (22/25)</gadget>
<output>75/2 = around 37.5</output>
<result>75/2 = around 37.5</result> | 75/2 | calc |
ape210k__00008961 | The base of a triangle is 5 cm. If the length of the base increases by 1 cm, the area of the triangle increases by 3 cm2. What is the area of the original triangle in square centimeters? | <gadget id="calculator">2 / 1</gadget>
<output>2</output>
<gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">6 / 2</gadget>
<output>3</output>
<gadget id="calculator">5 * 3</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
aqua_rat__DGEQAHm5AaGMfbMQ | Find the L.C.M of the fractions 2/7 , 5/14, and 4/21 Choices.
A) 1 1/7
B) 3 4/7
C) 2 4/7
D) 2 6/7
E) 2 7/7 | Explanation: L.C.M = L.C.M of numerator/ H.CF of denominator L.C.M = L.C.M of 2,5,4 / H.C.F of 7, 14, 21, L.C.M = 20/7, L.C.M = 2 6/7 Answer: Option 2 6/7
<result>D</result> | D | calc |
ape210k__00061136 | 420 kilograms of soybeans are used for germination test, the germination rate is 90%, how many kilograms of germinated soybeans are there? | <gadget id="calculator">90 / 100</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">420 * (9/10)</gadget>
<output>378</output>
<result>378</result> | 378 | calc |
math_qa__59osKxx9jLE831Io | A, B and C can do a work in 6, 8 and 12 days respectively doing the work together and get a payment of Rs.1800. What is B’s share? Choose the correct choice from the following choices
A) 300
B) 245
C) 600
D) 743
E) 215 | <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__01050755 | There is a rectangular woodland, if the length is increased by 5 kilometers, the area will be increased by 15 square kilometers; if the width is increased by 6 kilometers, the area will be increased by 48 square kilometers. What is the area of this woodland in square kilometers? | <gadget id="calculator">15 / 5</gadget>
<output>3</output>
<gadget id="calculator">48 / 6</gadget>
<output>8</output>
<gadget id="calculator">3 * 8</gadget>
<output>24</output>
<result>24</result> | 24 | calc |
ape210k__01116595 | The temperature at which water boils is 100°C, which is called the boiling point of water. The boiling point of alcohol is 22°C lower than that of water. What is the boiling point of alcohol in °C. | <gadget id="calculator">100 - 22</gadget>
<output>78</output>
<result>78</result> | 78 | calc |
ape210k__00133555 | The sum of the edge lengths of a cuboid is 280 decimeters, length: width = 2: 3, width: height = 4: 5, then what is the volume of the cuboid. | <gadget id="calculator">280 / 4</gadget>
<output>70</output>
<gadget id="calculator">8 + 12 + 15</gadget>
<output>35</output>
<gadget id="calculator">8 / 35</gadget>
<output>8/35 = around 0.228571</output>
<gadget id="calculator">70 * (8/35)</gadget>
<output>16</output>
<gadget id="calculator">12 / 35</gadget>
<out... | 11_520 | calc |
ape210k__00046404 | There are 150 boys in the sixth grade of a certain elementary school, and the ratio of the number of girls to boys is 4:5. It is known that the number of students in the sixth grade accounts for 25% of the total number of students in the school. How many students are there in the school? | <gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">150 * (4/5)</gadget>
<output>120</output>
<gadget id="calculator">120 + 150</gadget>
<output>270</output>
<gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">270 / (1/4)<... | 1_080 | calc |
ape210k__00677385 | A rectangular piece of paper, 5 cm long and 3 cm wide. Cut it into a largest square, what is the perimeter of this square in centimeters. | <gadget id="calculator">3 * 4</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
ape210k__00064444 | What is the area of 5 square centimeters with side length 4 centimeters | <gadget id="calculator">4 * 4 * 5</gadget>
<output>80</output>
<result>80</result> | 80 | calc |
ape210k__01135249 | The numerator of a simplest fraction is enlarged by 4 times, the denominator is reduced to the original (1/3), and 8 (8/9) is obtained. What is the original simplest fraction? | <gadget id="calculator">80 / 4</gadget>
<output>20</output>
<gadget id="calculator">9 * 3</gadget>
<output>27</output>
<gadget id="calculator">20 / 27</gadget>
<output>20/27 = around 0.740741</output>
<result>20/27 = around 0.740741</result> | 20/27 | calc |
ape210k__00484796 | The school bought 20 tables and 35 chairs, each table was 40 yuan, and each chair was 25 yuan. How much does it cost for the school to buy tables and chairs? | <gadget id="calculator">40 * 20</gadget>
<output>800</output>
<gadget id="calculator">25 * 35</gadget>
<output>875</output>
<gadget id="calculator">800 + 875</gadget>
<output>1_675</output>
<result>1_675</result> | 1_675 | calc |
ape210k__00236694 | Class 1 of the fifth grade carried out the activity of "giving one book to read hundreds of books". Yang Kun brought all his extracurricular books. If divided into 3 groups, there would be 1 more book; Group, there are 5 more copies. Do you know how many books he has donated at least? | <gadget id="calculator">6 * 7</gadget>
<output>42</output>
<gadget id="calculator">42 - 2</gadget>
<output>40</output>
<result>40</result> | 40 | calc |
aqua_rat__bkPwrQfCN6omCDnE | 6 In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is:
Choose the correct choice from the following
A) 5 kmph B) 6 kmph C) 6.25 kmph D) 7.5 kmph E) 7.8 kmph | Let Abhay's speed be x km/hr. Then, 30/X - 30/2X = 3 6x = 30 x = 5 km/hr. 5 kmphnswer: Option 5 kmph
<result>A</result> | A | calc |
ape210k__00673555 | In thousands, what is the maximum difference between the exact number 4,000 and the approximate number of 4,000. | <gadget id="calculator">4_000 - 3_500</gadget>
<output>500</output>
<result>500</result> | 500 | calc |
ape210k__00112469 | If it takes 7 minutes for a worker to saw a piece of wood into 5 sections, how many minutes will it take to saw the piece of wood into 9 sections at this speed? | <gadget id="calculator">5 - 1</gadget>
<output>4</output>
<gadget id="calculator">7 / 4</gadget>
<output>7/4 = around 1.75</output>
<gadget id="calculator">9 - 1</gadget>
<output>8</output>
<gadget id="calculator">(7/4) * 8</gadget>
<output>14</output>
<result>14</result> | 14 | calc |
gsm8k__LDm1zdIpM8v2wTSX | Dylan filled his glass with ice cubes before he poured his soda into it. He counted and there were 8 ice cubes in his glass. Later when he prepares a pitcher of lemonade he puts two times as many ice cubes in the pitcher. Then it is time to refill the ice cube trays which have 12 spaces each for ice cubes. How many tra... | Dylan uses 8 ice cubes in his glass plus 2 x as many for the pitcher of lemonade, 8 x 2 = 16 ice cubes.
Those 16 ice cubes + the 8 before means that the ice cube trays originally held 16 + 8 ice cubes =
<gadget id="calculator">16+8</gadget>
<output>24</output>
24 ice cubes.
Each ice cube tray holds 12 ice cubes, 24 ic... | 2 | calc |
aqua_rat__9B3uVGj13EYITUil | Shobha’s mathematics test had 75 problems i.e.10 arithmetic, 30 algebra and 35 geometry problems. Although she answered 70% of the arithmetic ,40% of the algebra, and 60% of the geometry problems correctly. she did not pass the test because she got less than 60% of the problems right. How many more questions she would ... | Number of questions attempted correctly =(70% of 10 + 40% of 30 + 60% 0f 35) =7 + 12+21= 45 questions to be answered correctly for 60% grade=60% of 75 = 45 therefore required number of questions= (45-40)=
<gadget id="calculator">(45-40)</gadget>
<output>5</output>
5 Answer is 5.
<result>D</result> | D | calc |
ape210k__00199599 | What is the maximum number of points of intersection of 8 straight lines on the plane? | <gadget id="calculator">8 - 1</gadget>
<output>7</output>
<gadget id="calculator">8 / 2</gadget>
<output>4</output>
<gadget id="calculator">7 * 4</gadget>
<output>28</output>
<result>28</result> | 28 | calc |
ape210k__00341387 | The school's teaching building has 16 steps to go up each floor, so Xiao Ming walked from the first floor to the fourth floor, and then returned to the second floor, how many steps did Xiao Ming walk in total? | <gadget id="calculator">4 - 1</gadget>
<output>3</output>
<gadget id="calculator">4 - 2</gadget>
<output>2</output>
<gadget id="calculator">3 + 2</gadget>
<output>5</output>
<gadget id="calculator">5 * 16</gadget>
<output>80</output>
<result>80</result> | 80 | calc |
ape210k__00261933 | How many different numbers can be drawn from 1, 2...100 such that each number is not a multiple of the other? | <gadget id="calculator">100 - 51</gadget>
<output>49</output>
<gadget id="calculator">49 + 1</gadget>
<output>50</output>
<gadget id="calculator">99 - 50</gadget>
<output>49</output>
<result>50</result> | 50 | calc |
ape210k__00266681 | Xiao Ming reads a storybook, plans to read 12 pages a day, but actually reads 8 more pages a day, and ends up reading it two days earlier. How many pages does this storybook have? | <gadget id="calculator">12 + 8</gadget>
<output>20</output>
<gadget id="calculator">2 / 8</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">20 * (1/4)</gadget>
<output>5</output>
<gadget id="calculator">12 * 5</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
ape210k__00716283 | The area of a rectangle is 72 square decimeters, the width is 8 decimeters, and the length is decimeters. | <gadget id="calculator">72 / 8</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
ape210k__00245926 | If 15 identical small cubes are put together to form a large cube, at least how many such small cubes are needed. | <gadget id="calculator">3 ** 3</gadget>
<output>27</output>
<gadget id="calculator">27 - 15</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
math_qa__jUPNR043E6HFI30U | The owner of a furniture shop charges his customer 15% more than the cost price. If a customer paid Rs. 6400 for a computer table, then what was the cost price of the computer table? Choose the most appropriate option.
A) rs . 5565 B) rs . 6298 C) rs . 6290 D) rs . 6725 E) rs . 6708 | <gadget id="calculator">15 / 100</gadget>
<output>3/20 = around 0.15</output>
<gadget id="calculator">1 + (3/20)</gadget>
<output>23/20 = around 1.15</output>
<gadget id="calculator">6_400 / (23/20)</gadget>
<output>128_000/23 = around 5_565.217391</output>
<result>A</result> | A | calc |
aqua_rat__JKwlJTZrUdhA6kpZ | A does half as much work as Band C does half as much work as A and B together. If C alone can finish the work in 30 days, then together ,all will finish the work in :
Choose the correct choice from the following options.
A) 13 1/3 days
B) 12 1/3 days
C) 15 days
D) 12 days
E) 30 days | C alone can finish the work in 30 days. (A + B)can do it in 20 days (A + B)s 1 days wok = 1/20. As 1 days work : Bs 1 days Work = 1/2 : 1 = 1:2. A’s 1 day’s work = (1/20) * (1/3) = (1/60). [Divide 1/20 in the raio 1:2] Bs 1 days work = (1/20) * (2/3) = 1/30 (A+B+c)S 1 day’s work = (1/60) + (1/30) + (1/3... | D | calc |
ape210k__00584623 | Mother spent 1.7 yuan to buy radishes, 0.8 yuan more to buy radishes than to buy cabbage, and 3.9 yuan more to buy eggs than to buy cabbage. How much did my mother spend on eggs? | <gadget id="calculator">1.7 - 0.8</gadget>
<output>0.9</output>
<gadget id="calculator">0.9 + 3.9</gadget>
<output>4.8</output>
<result>4.8</result> | 4.8 | calc |
ape210k__00279163 | The ratio of the two numbers of A and B is 3:5, and the number of A is 15. What is the sum of the two numbers of A and B? | <gadget id="calculator">3 + 5</gadget>
<output>8</output>
<gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">15 / (3/8)</gadget>
<output>40</output>
<result>40</result> | 40 | calc |
aqua_rat__5J0x0h1XYlou4FBk | A student worked for 20 days. For each of the amounts shown in the first row of the table, the second row gives the number of days that the student earned that amount. What is the amount of money that the student earned per day for the 16th day?
Amounts earned per day : $96 $84 $80 $70 $48
Number of days : 4 7 4 3 2 C... | 4+7+4+3+2=
<gadget id="calculator">4+7+4+3+2</gadget>
<output>20</output>
20 The series is as follows. Arrange the terms in increasing order of amounts earned and cumulatively add up the number of days of each amount. 1st to 2nd term= 48 (2 days) 3rd to 5th term = 70 (3 days) 6th to 9th term = 80 (4 days) 10... | B | calc |
math_qa__L4tQafznTBw6VRho | The number of sailors on a ship is 50% more than the number of officers. The ratio of sailors to officers would be Answers
A) 33 : 25 B) 47 : 20 C) 3 : 2 D) 22 : 25 E) 97 : 50 | <gadget id="calculator">50 + 100</gadget>
<output>150</output>
<gadget id="calculator">150 / 100</gadget>
<output>3/2 = around 1.5</output>
<result>C</result> | C | calc |
aqua_rat__EoDLnKIyz6NBLyYO | If the length of a rectangle is halved and its breadth is tripled, what is the percentage change in its area? Choose the correct choice from the following choices.
A) 25% increase B) 25% decrease C) 50% increase D) 50% decrease E) None | Explanation: Length is halved. i.e., length is decreased by 50%50% Breadth is tripled i.e., breadth is increased by 200%200% Change in area =(−50+200−50×200/100)%=50% i.e., area is increased by 50% Answer: Option 50% decrease
<result>D</result> | D | calc |
math_qa__qVi30UHi6UoNgvKM | A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 3000. The difference between the profit shares of A and C is? Pick:
A) 621
B) 276
C) 236
D) 600
E) 1200 | <gadget id="calculator">12_000 / 10_000</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">8_000 / 10_000</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(6/5) - (4/5)</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(2/5) * 3_000</gadget>
<output>1_200</output>
... | E | calc |
ape210k__00403797 | Xiao Lin and his seven classmates went to the park to play, and the price of each ticket was 15 yuan. How much did they need to buy the tickets? | <gadget id="calculator">1 + 7</gadget>
<output>8</output>
<gadget id="calculator">15 * 8</gadget>
<output>120</output>
<result>120</result> | 120 | calc |
ape210k__00042879 | The length of a cuboid is 12 cm, twice its width, and its height is 1/4 of its length. What is the volume of this cuboid in cubic centimeters? | <gadget id="calculator">12 / 2</gadget>
<output>6</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">12 * (1/4)</gadget>
<output>3</output>
<gadget id="calculator">12 * 6 * 3</gadget>
<output>216</output>
<result>216</result> | 216 | calc |
ape210k__00062479 | The school has 35 students participating in the art group, the number of students participating in the calligraphy group is 7/8 of the microcomputer group, and the number of students participating in the art group is 4/5. How many people are there in the micro-group? | <gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">7 / 8</gadget>
<output>7/8 = around 0.875</output>
<gadget id="calculator">(4/5) / (7/8)</gadget>
<output>32/35 = around 0.914286</output>
<gadget id="calculator">35 * (32/35)</gadget>
<output>32</output>
<result>32</re... | 32 | calc |
ape210k__00167306 | Students make 40 flowers, including 22 red flowers and the rest are yellow flowers. How many yellow flowers are there? | <gadget id="calculator">40 - 22</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
ape210k__00319264 | There is a chorus of less than 100 people, which can be divided into groups of 12 or 20. How many people are there in this chorus? | <gadget id="calculator">2 * 2 * 3 * 5</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
ape210k__00222823 | How many are there in 80 (1/10). | <gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">80 / (1/10)</gadget>
<output>800</output>
<result>800</result> | 800 | calc |
aqua_rat__PoHkRChH7IENh3gh | A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire? Choose the correct choice from the following answers:
A) 6 cm B) 5 cm C) 2 cm D) 7 cm E) 9 cm | Volume of the wire (in Cylindrical shape) is equal to the volume of the sphere. π(16)2 * h = (4/3)π (12)3 => h = 9 cm Answer: 9 cm
<result>E</result> | E | calc |
ape210k__00275841 | Ticket numbers range from 000 to 999. If the difference between two adjacent numbers in a ticket number is equal to 5, this ticket is called a good ticket. So, how many of these votes are not good votes? | <gadget id="calculator">10 * 10 * 10</gadget>
<output>1_000</output>
<gadget id="calculator">40 - 2</gadget>
<output>38</output>
<gadget id="calculator">38 * 5</gadget>
<output>190</output>
<gadget id="calculator">1_000 - 190</gadget>
<output>810</output>
<result>810</result> | 810 | calc |
ape210k__00334643 | Calculation: (1+3+5+7+...+199+201)-(2+4+6+8+...+198+200). | <gadget id="calculator">1 + 201</gadget>
<output>202</output>
<gadget id="calculator">101 / 2</gadget>
<output>101/2 = around 50.5</output>
<gadget id="calculator">202 * (101/2)</gadget>
<output>10_201</output>
<gadget id="calculator">2 + 200</gadget>
<output>202</output>
<gadget id="calculator">100 / 2</gadget>
<o... | 101 | calc |
ape210k__00231395 | If 60% of 1 ton of coal is used up, how many tons are left? | <gadget id="calculator">60 / 100</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">1 * (2/5)</gadget>
<output>2/5 = around 0.4</output>
<result>2/5 = around 0.4</result> | 2/5 | calc |
ape210k__00054335 | Uncle Zhao’s peach garden planted 50 peach trees, but 3 failed to survive. What is the survival rate? | <gadget id="calculator">50 - 3</gadget>
<output>47</output>
<gadget id="calculator">47 / 50</gadget>
<output>47/50 = around 0.94</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(47/50) * 1</gadget>
<output>47/50 = around 0.94</output>
<result>47/50 = around 0.94</resul... | 47/50 | calc |
gsm8k__2ZEmeprfMQwewxeT | If Billy sleeps 6 hours one night, then 2 more hours than that the following night, and then half the previous amount the following night, and then finally triple the previous amount the final night, how much did he sleep in that four day period? | Billy slept 6 hours the first night. He then slept 6+2=
<gadget id="calculator">6+2</gadget>
<output>8</output>
8 hours the second night.
Billy then slept 8/2=
<gadget id="calculator">8/2</gadget>
<output>4</output>
4 hours the third night.
Finally, Billy slept 4*3=
<gadget id="calculator">4*3</gadget>
<output>12</outp... | 30 | calc |
aqua_rat__qqOv4nl91IOq31LI | A worm is at the bottom of a forty foot hole. It can crawl upwards at the rate of four feet in one day, but at night, it slips back three feet. At this rate, how long will it take the worm to crawl out of the hole? Choose the correct choice from the following answers: A) 33 B) 87 C) 37 D) 28 E) 921 | Explanation: For each day worm climb only 4 - 3=
<gadget id="calculator">4 - 3</gadget>
<output>1</output>
1feet. After 36 days worm reach the 36 foot. Exactly the 37th day worm reach 40 foot and won't slips back. Answer: 37
<result>C</result> | C | calc |
ape210k__00940997 | Nanjing will host the 2nd Summer Youth Olympic Games in 2014. How many days are there in this year? | <result>365</result> | 365 | calc |
ape210k__00373423 | A side of a square vegetable field is 25 meters long. If a fence is to be built around it, a stake needs to be drilled every 5 meters, and four vertices must be drilled. How many wooden stakes should be prepared in total? | <gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">25 * (4/5)</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
aqua_rat__LQqXYrNewhBS7RGW | A man sold 20 articles for $60 and gained 20%. How many articles should he sell for $90 to incur a loss 20%? Pick one
A) 45
B) 36
C) 40
D) 50
E) 48 | Production cost per article: $60*(100%-20%) / 20 = $2.40 Required production costs for a loss of 20%: $90*(100% + 20%) = $108 Number of articles to be sold for $108 to incur a 20% loss: $108 / $2.40 = 45 Thus, solution 45 is correct.108 / 2.40=
<gadget id="calculator">108 / 2.40</gadget>
<output>45</output>
45... | A | calc |
ape210k__00296831 | Li Bing's house, Zhang Yue's house and Bilingual Primary School are all on the spacious and straight Shuangqing Road. Li Bing's house is about 300 meters away from the school, and Zhang Yue's house is about 1,000 meters away from the school. How many meters may the two families be apart? | <gadget id="calculator">1_000 + 300</gadget>
<output>1_300</output>
<result>1_300</result> | 1_300 | calc |
aqua_rat__LlPjYSP92WWyOnaa | K = wxyz, where w, x, y, z are prime numbers. Not including 1 and K, how many factors does K have? Pick
A) 7
B) 14
C) 21
D) 28
E) 35 | Suppose w = 2, x = 3, y = 5 and z = 7. Then wxyz = 210. To find out how many factors 210 has, go through different combinations of the prime factors as follows. You don't even need to calculate the answers but I have done so here: (factor #1) 2 (factor #2) 3 (factor #3) 5 (factor #4) 7 (factor #5) 2 x 3 = 6... | B | calc |
aqua_rat__jT9a1nj4Pjhr97CP | Find the greatest number that will divide 54, 87 and 172 so as to leave the same remainder in each case Pick.
A) 13 B) 3 C) 15 D) 1 E) 2 | Explanation: Required number = (87-54),(172-87),(172-54) = H.C.F of 33,85 and 118 is 1 Answer: Option 1
<result>D</result> | D | calc |
aqua_rat__nBtIw1olMorKyDCb | Every year Taylor goes to the same carnival, and he attempts to shoot a basketball into a small hoop, hoping that he will win a ten-foot tall teddy bear. If the probability that Taylor does not make a basket is 2/5, what is the probability that Taylor makes exactly one basket in three tries?
Choose one.
A) 36/125 B) 3... | Probability of basket = 3/5 Probability of no basket = 2/5 Required probability=3* 3/5*2/5*2/5 =36/125 36/125 is the answer .
<result>A</result> | A | calc |
aqua_rat__NeAAbvslMaqtHfEn | The average of 11 results is 42, if the average of first six results is 49 and that of the last six is 52. Find the sixth result? Choose the correct choice from the following answers
A) 121 B) 156 C) 144 D) 125 E) 123 | 1 to 11 = 11 * 42=
<gadget id="calculator">11 * 42</gadget>
<output>462</output>
462 1 to 6= 6 * 49=
<gadget id="calculator">6 * 49</gadget>
<output>294</output>
294 6 to 11= 6 * 52=
<gadget id="calculator">6 * 52</gadget>
<output>312</output>
312 6th= 294 + 312 – 462 = 144 Answer:144
<result>C</result> | C | calc |
ape210k__00412422 | Cut a rectangular iron sheet with a length of 40 cm and a width of 30 cm and cut off a square with a length of 4 cm to make a rectangular box without a cover. What is the volume of this box (the thickness of the iron sheet is not counted) | <gadget id="calculator">40 - 4 - 4</gadget>
<output>32</output>
<gadget id="calculator">30 - 4 - 4</gadget>
<output>22</output>
<gadget id="calculator">32 * 22 * 4</gadget>
<output>2_816</output>
<result>2_816</result> | 2_816 | calc |
aqua_rat__9rhATODUKgpxLo5k | Tough and Tricky questions: Probability.
Medical analysts predict that one over five of all people who are infected by a certain biological agent could be expected to be killed for each day that passes during which they have not received an antidote. What fraction of a group of 1,000 people could be expected to be kill... | At the end of each day we will have 4/5 alive. So after 3 days we will have (4/5)^3 people alive. Therefore, fraction of dead people will be 1-(4/5)^3=61/125. The correct answer is 61/125.
<result>D</result> | D | calc |
ape210k__00097315 | After a freight train travels from A to B for 2 hours, a passenger train departs from B to A. After 2 hours, the two trains meet. It is known that the speed of the truck is 4/5 of that of the passenger train. A and B are opposite each other, how many hours will they meet? | <gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">2 + 2</gadget>
<output>4</output>
<gadget id="calculator">(4/5) * 4</gadget>
<output>16/5 = around 3.2</output>
<gadget id="calculator">1 * 2</gadget>
<output>2</output>
<gadget id="calculator">(16/5) + 2</gadget>
<outp... | 26/9 | calc |
aqua_rat__6VC2YjSXbldzfcSY | Sum of the squares of three numbers is 138 and the sum of their products taken two at a time is 131. Find the sum? Choose the correct choice
A) 20 B) 21 C) 25 D) 27 E) 29 | (a + b + c)2 = a2 + b2 + c2 + 2(ab +bc + ca) = 138 + 2* 131 a + b + c = √400 = 20 20
<result>A</result> | A | calc |
ape210k__00276470 | There are three numbers, and the sum of six different three-digit numbers that can be formed using them is 3330. What is the largest three-digit number? | <result>951</result> | 951 | calc |
ape210k__00330452 | When the little sloppy calculates "60+□/5", he calculates the addition first and then the division. How much difference does the calculation result have from the correct result. | <gadget id="calculator">48 + 0</gadget>
<output>48</output>
<result>48</result> | 48 | calc |
aqua_rat__ax0T3RzlQl7jWwa0 | In a box, there are 10 red, 6 blue and 5 green balls. One ball is picked up randomly. What is the probability that it is neither red nor blue? Pick: A) 4/51 B) 10/21 C) 7/12 D) 6/21 E) 13/17 | Total number of balls = 10+6+5=
<gadget id="calculator">10+6+5</gadget>
<output>21</output>
21 E= event that the ball drawn is neither red nor blue = event that the ball drawn is blue n(E) = 6 P(E) = 6/21 Answer is 6/21
<result>D</result> | D | calc |
math_qa__6gfeBLAtJva6QOzJ | the sum of all possible two digit numbers formed from 3 different one digit natural numbers when divided by the sum of the original 3 numbers is equal to ? Choose the correct choice from the following options.
A) 14 B) 16 C) 18 D) 20 E) 22 | <gadget id="calculator">3 * 10</gadget>
<output>30</output>
<gadget id="calculator">30 + 3</gadget>
<output>33</output>
<gadget id="calculator">33 / 3</gadget>
<output>11</output>
<gadget id="calculator">11 * 2</gadget>
<output>22</output>
<result>E</result> | E | calc |
ape210k__00065421 | At the International Exhibition Conference held in Teca, Monaco in 2002, representatives of 89 member states voted by secret ballot. In the final round of voting, South Korea’s votes accounted for the total number of votes (9/25), which was less than China’s votes (7/50). Therefore, China became the host of the 2010 Wo... | <gadget id="calculator">9 / 25</gadget>
<output>9/25 = around 0.36</output>
<gadget id="calculator">7 / 50</gadget>
<output>7/50 = around 0.14</output>
<gadget id="calculator">1 - (7/50)</gadget>
<output>43/50 = around 0.86</output>
<gadget id="calculator">(9/25) / (43/50)</gadget>
<output>18/43 = around 0.418605</o... | 18/43 | calc |
math_qa__sgVn40mvbkON6cWC | A man saves a certain portion of his income during a year and spends the remaining portion on his personal expenses. Next year his income increases by 25% but his savings increase by 100%. If his total expenditure in 2 years is double his expenditure in 1st year, What %age of his income in the first year did he save? ... | <gadget id="calculator">100 + 25</gadget>
<output>125</output>
<gadget id="calculator">125 + 100</gadget>
<output>225</output>
<gadget id="calculator">2 * 100</gadget>
<output>200</output>
<gadget id="calculator">225 - 200</gadget>
<output>25</output>
<gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0... | B | calc |
math_qa__DHiJMRURpJtiUhNp | Because he’s taxed by his home planet, Mork pays a tax rate of 40% on his income, while Mindy pays a rate of only 30% on hers. If Mindy earned 2 times as much as Mork did, what was their combined tax rate? Select the correct option
A) 32.5 % B) 34 % C) 22.5 % D) 33.3 % E) 37.5 % | <gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">2 * (3/10)</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">(2/5) + (3/5)</gadget>
<output>1</output>
<gadget id="calcula... | D | calc |
math_qa__UVX3Z1b0fmeKn7XP | What will be the difference between simple interest and compound interest @10% per annum on a sum of Rs. 1000 after 4 years? Pick one:
A) rs . 31 B) rs . 32.10 C) rs . 40.40 D) rs . 64.10 E) none | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(1/10) + 1</gadget>
<output>11/10 = around 1.1</output>
<gadget id="calculator">(11/10) ** 4</gadget>
<output>14_641/10_000 = around 1.4641</output>
<gadget id="calculator">(14_641/10_000) * 1_000</gadget>
<output>14... | D | calc |
aqua_rat__8mBVl4bwgb20BNuY | Two consultants can type up a report in 12.5 hours and edit it in 7.5 hours. If Mary needs 30 hours to type the report and Jim needs 12 hours to edit it alone, how many hours Q will it take if Jim types the report and Mary edits it immediately after he is done? Pick one: A) 41.4 B) 34.1 C) 13.4 D) 12.4 E) 10.8 | Break down the problem into two pieces: typing and editing. Mary needs 30 hours to type the report--> Mary's typing rate = 1/30 (rate reciprocal of time)(point 1 in theory below); Mary and Jim can type up a report in 12.5and --> 1/30+1/x=1/12.5=2/25 (where x is the time needed for Jim to type the report alone... | A | calc |
aqua_rat__EX9ZAZ9Rqf4cdbRm | In a simultaneous throw of two coins the probability of getting at least one head is ?
Choose the correct choice from the following answers
A) 3/4
B) 1/2
C) 1/4
D) 2/3
E) 1/5 | S={HH,HT,TH,TT} E be the event of getting at least one head is {HT,TH,HH} P(E)=n(E)/n(S)=3/4 3/4nswer(3/4)
<result>A</result> | A | calc |
ape210k__00079386 | The sum of the length and width of a rectangle is 150 cm. If the length is extended by 15% and the width is extended by 10%, the area of the resulting large rectangle is 954 cm2 larger than that of the original rectangle. Question: What is the area of the original rectangle in cm2 ． | <result>3_600</result> | 3_600 | calc |
ape210k__00691873 | A cow weighs 0.24 tons, and an elephant weighs 2.5 times that of a cow. How much heavier is this elephant than a cow? | <gadget id="calculator">0.24 * 2.5</gadget>
<output>0.6</output>
<gadget id="calculator">0.6 - 0.24</gadget>
<output>0.36</output>
<result>0.36</result> | 0.36 | calc |
ape210k__00973591 | When Dongdong calculated a division formula, he mistakenly regarded the divisor 24 as 42, and the result was 28. Please calculate how much the correct quotient should be. | <gadget id="calculator">42 * 28</gadget>
<output>1_176</output>
<gadget id="calculator">1_176 / 24</gadget>
<output>49</output>
<result>49</result> | 49 | calc |
aqua_rat__i1AtywxvzeUxrLVM | A & B throws a pair of dice and winner is one who gets a sum of 9 first.if A starts throwing first
Then what is the ratio of A winning over B? Choose the most appropriate option: A) 8/9 B) 9/8 C) 7/8 D) 6/9 E) 5/9 | probability of a person throwing first and winning is given by 1/(2-p) 1/(2-(1/9))=9/17 prob of a prob of b is 8/17 prob (a/b) 9/8 ANSWER:9/8
<result>B</result> | B | calc |
ape210k__01146989 | The divisor is a single digit, the quotient is 9, and the remainder is 8. What is the dividend. | <gadget id="calculator">9 * 9</gadget>
<output>81</output>
<gadget id="calculator">81 + 8</gadget>
<output>89</output>
<result>89</result> | 89 | calc |
math_qa__PhrVGj0gxXyxLJty | A grocery shop has a sale of Rs. 6235, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500? Pick one:
A) 4857 B) 4184 C) 4012 D) 5191 E) 5291 | <gadget id="calculator">5 + 1</gadget>
<output>6</output>
<gadget id="calculator">6_500 * 6</gadget>
<output>39_000</output>
<gadget id="calculator">6_235 + 6_927</gadget>
<output>13_162</output>
<gadget id="calculator">6_855 + 13_162</gadget>
<output>20_017</output>
<gadget id="calculator">20_017 + 7_230</gadget>
... | D | calc |
ape210k__00113436 | An iron wire can just enclose a square with a side length of 4dm. If this iron wire encloses a rectangle with a length of 6dm, what is its area? | <gadget id="calculator">4 / 2</gadget>
<output>2</output>
<gadget id="calculator">4 * 2</gadget>
<output>8</output>
<gadget id="calculator">8 - 6</gadget>
<output>2</output>
<gadget id="calculator">8 * 2</gadget>
<output>16</output>
<result>16</result> | 16 | calc |
ape210k__01136679 | The lifespan of a lion is about 21 years, the lifespan of a tiger is that of a lion (19/21), and the lifespan of a hedgehog is that of a tiger (5/19). How many years does a hedgehog live? | <gadget id="calculator">19 / 21</gadget>
<output>19/21 = around 0.904762</output>
<gadget id="calculator">5 / 19</gadget>
<output>5/19 = around 0.263158</output>
<gadget id="calculator">21 * (19/21) * (5/19)</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
ape210k__00291757 | Pour 2 liters of water into a 200ml measuring cup, how many cups can be poured? | <gadget id="calculator">2 * 1_000</gadget>
<output>2_000</output>
<gadget id="calculator">2_000 / 200</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
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