id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00852747 | The product of two factors is 725, one of which is 5 and the other is 725. | <gadget id="calculator">725 / 5</gadget>
<output>145</output>
<result>145</result> | 145 | calc |
aqua_rat__eG012S2dMZWwsaoG | Venki takes a trip and drives 5 hours from Town X to Town Z at a rate of 80 miles per hour. On her way back, Venki drives 45 miles per hour and stops in Town Y which is midway between Town X and Town Z. How many hours does it take Venki to drive from Town Z to Town Y? Choose the correct choice from the following:
A) 1.... | distance from X to Z =5 hr* 80 mph= 400 miles hence distance from Y to Z= 1/2*400=
<gadget id="calculator">1/2*400</gadget>
<output>200</output>
200 time=200/45=4.44 hrs IMO: 4.44
<result>B</result> | B | calc |
ape210k__00024654 | From point A to point B, it takes 3 hours for A and 2 hours for B. Now two people are walking towards each other from both places at the same time, how many hours will it take for them to meet. | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/3) + (1/2)</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">1 / (5/6)</gadget>
<output>6/5 = around 1.2</output>
<r... | 6/5 | calc |
ape210k__00006749 | If the radius of the small circle is a and the radius of the large circle is 2a, what fraction of the area of the small circle is the large circle? | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<result>1/4 = around 0.25</result> | 1/4 | calc |
aqua_rat__03O8wiGjtFQm7jNo | What is the difference between the local values of 7 in the number 57407? Choose the correct choice from the following:
A) 6993 B) 2997 C) 3877 D) 5077 E) 1211 | Explanation: 7000 – 7 = 6993 6993nswer:6993
<result>A</result> | A | calc |
ape210k__00716597 | Uncle Zhang raised 350 geese, and the number of geese was as many as that of ducks (2/5). How many ducks do you have? | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">350 / (2/5)</gadget>
<output>875</output>
<result>875</result> | 875 | calc |
aqua_rat__jKI9A3daSikmwF8D | There are 4 people who has to cross a stretch of 300 km. They normally run at a speed of 10 kmph. One
of them has a bike that travels at 50 kmph. The bike first takes one person alone and crosses the
stretch while the other two keep running. Then he comes back without wasting time and picks up
another person from the w... | Expl : Time taken to carry 2nd person = 300/50=
<gadget id="calculator">300/50</gadget>
<output>6</output>
6 hrs. Time taken to meet 3rd person=(300-6*10)/(50+10)=
<gadget id="calculator">(300-6*10)/(50+10)</gadget>
<output>4</output>
4 hrs Time taken to carry 3rd person= 4 hours Time taken to meet 4th person =... | D | calc |
aqua_rat__i8XCAXJ6ZOfh3e3A | Find the simple interest on Rs. 70,000 at 16 2/3% per year for 9 months. Choose the correct choice.
A) 7500 B) 6500 C) 8750 D) 9500 E) None of them | P = Rs.70000,R = 50/3% p.a and T = 9/12 years = 3/4years. Simple Interest = (P*R*T)/100 = Rs.(70,000*(50/3)*(3/4)*(1/100))= Rs.8750 Answer is 8750.
<result>C</result> | C | calc |
ape210k__01190899 | There are 40 people in a travel agency, 24 of them can speak English, and 20 can speak Russian. There are 5 people who know neither, how many people know both? | <gadget id="calculator">40 - 5</gadget>
<output>35</output>
<gadget id="calculator">20 - 35</gadget>
<output>-15</output>
<gadget id="calculator">24 + (-15)</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
ape210k__00085254 | An irregular piece of copper is put into a container filled with water with a bottom diameter of 6 cm and a height of 8 cm. When it is taken out, the water level drops by 4 cm. If it is cast into a cone with a bottom radius of 2 cm, the height of the cone is How many centimeters is it? | <gadget id="calculator">6 / 2</gadget>
<output>3</output>
<gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">3.14 * 9 * 4</gadget>
<output>113.04</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">3.14 * 4</gadget>
<output>12.56</output>
<gad... | 27 | calc |
aqua_rat__27JvZUYcpOgjBaDb | How long will a man take to go, walking at 4 km per hour, twice round a circular garden of 70 m radius Choose the correct choice from the following: A) 11 B) 28 C) 26 D) 18 E) 111 | Answer:28
<result>B</result> | B | calc |
ape210k__00117249 | Please list how many times the number "8" has been written in "1~100"? | <gadget id="calculator">10 + 10</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
ape210k__00407477 | What is the product of (4/5) multiplied by 9.3 minus 8.5? | <gadget id="calculator">9.3 - 8.5</gadget>
<output>0.8</output>
<gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">0.8 * (4/5)</gadget>
<output>0.64</output>
<result>0.64</result> | 0.64 | calc |
ape210k__00105347 | The diameter and height of the bottom of a cylindrical bucket are 4 decimeters, and the water level in the bucket is 1.5 decimeters lower than the mouth of the bucket. How many kilograms of water does this bucket have? (1 kg per cubic decimeter of water) | <gadget id="calculator">4 / 2</gadget>
<output>2</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">4 - 1.5</gadget>
<output>2.5</output>
<gadget id="calculator">3.14 * 4 * 2.5 * 1</gadget>
<output>31.4</output>
<result>31.4</result> | 31.4 | calc |
ape210k__00619715 | (3/2) of (5/2) kilogram is equal to 5 times of that number. | <gadget id="calculator">5 / 2</gadget>
<output>5/2 = around 2.5</output>
<gadget id="calculator">3 / 2</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">(3/2) / 5</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">(5/2) * (3/10)</gadget>
<output>3/4 = around 0.75</output>
<result>3... | 3/4 | calc |
ape210k__00303827 | Xiaohua has a six-digit QQ number ABCDEF. It is known that A is the smallest composite number; B is both an odd number and a composite number; C has only one factor; D is a prime number and an even number; E has both factors 2 and There is a factor of 3; F is the largest even number within 10. Xiaohua's QQ number is: h... | <result>491_268</result> | 491_268 | calc |
math_qa__yqdqjxVcgBlujcFp | A train of length L is traveling at a constant velocity and passes a pole in t seconds. If the same train travelling at the same velocity passes a platform in 3.5t seconds, then what is the length of the platform? Choose the correct choice: A) 0.5 l B) 1.5 l C) 2.5 l D) 3.5 l E) 4.5 l | <gadget id="calculator">3.5 - 1</gadget>
<output>2.5</output>
<result>C</result> | C | calc |
aqua_rat__cIHszwk6TbDfQ21y | The sum of number of boys and girls in a school is 1150. If the number of boys is x, then the number of girls becomes x% of the total number of students. The number of boys is? Choose the correct option.
A) 50 B) 40 C) 60 D) 92 E) 70 | We have x+x% of 1150 = 1150 x + x/100 * 1150 = 1150 25/2 * x = 1150 x = 1150*2/25=
<gadget id="calculator">1150*2/25</gadget>
<output>92</output>
92 Answer is 92
<result>D</result> | D | calc |
aqua_rat__tRPyPuZ7FITlRwyl | There are two positive numbers in the ratio 5:8. If the larger number exceeds the smaller by 15, then find the smaller number? Choose the correct choice from the following options:
A) 25 B) 66 C) 88 D) 89 E) 53 | Let the two positive numbers be 5x and 8x respectively. 8x - 5x = 15 3x = 15 => x = 5 => Smaller number = 5x = 25. 25nswer: 25
<result>A</result> | A | calc |
ape210k__00537797 | Uncle Li deposited 5,000 yuan in the bank in December 1998 with an annual interest rate of 2.88%. How much yuan can he withdraw the principal and after-tax interest when it matures in December 2003? | <gadget id="calculator">2.88 / 100</gadget>
<output>0.0288</output>
<gadget id="calculator">2_003 - 1_998</gadget>
<output>5</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_000... | 5_576 | calc |
aqua_rat__s4OhF7daUYzauhpy | If the cost price of 20 articles is equal to the selling price of 40 articles, what is the % profit or loss made by the merchant? Choose the correct choice from the following
A) 25% loss B) 25% profit C) 20% loss D) 20% profit E) 50% loss | Let the cost price of 1 article be $1. Therefore, cost price of 20 articles = 20 * 1=
<gadget id="calculator">20 * 1</gadget>
<output>20</output>
$20 The selling price of 40 articles= cost price of 40 articles = $40. Now, we know the selling price of 40 articles. Let us find the cost price of 40 articles. Cost... | E | calc |
ape210k__00196006 | It took (1/5) hours for A to complete (2/3) of a job alone, how many hours will it take if all of them are completed? | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(1/5) / (2/3)</gadget>
<output>3/10 = around 0.3</output>
<result>3/10 = around 0.3</result> | 3/10 | calc |
ape210k__00345045 | There are 49 people in the class, boys (2/5) and girls (3/8) participated in the mathematics competition, how many people did not participate. | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">25 * (2/5)</gadget>
<output>10</output>
<gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">24 * (3/8)</gadget>
<output>9</output>
<gadget id="calculator">49 - 10 - 9</gadg... | 30 | calc |
math_qa__NEi6Qm1W9vm6sPEL | 20 machines can do a work in 10days. How many machines are needed to complete the work in 40days? Choose the correct choice from the following choices:
A) 10 B) 6 C) 4 D) 7 E) 5 | <gadget id="calculator">20 * 10</gadget>
<output>200</output>
<gadget id="calculator">200 / 40</gadget>
<output>5</output>
<result>E</result> | E | calc |
ape210k__01195933 | The perimeter of a square lawn is 32m, what is its area in m**2. | <gadget id="calculator">32 / 4</gadget>
<output>8</output>
<gadget id="calculator">8 * 8</gadget>
<output>64</output>
<result>64</result> | 64 | calc |
aqua_rat__dE7D5zZ73yxYhKd4 | If 1/a^2 + a^2 represents the diameter of circle O and 1/a + 2a = 3, which of the following best approximates the circumference of circle O?
Choose the most appropriate option.
A) 28 B) 22 C) 20 D) 16 E) 12 | Given that (1/a)+a =3 Square both sides of the equation: We get, [(1/a)^2 + a^2 + 2*(1/a)*a] = 9 => (1/a)^2 + a^2 + 2 = 9 => (1/a)^2 + a^2 = 7 ----------------- (1) 16iameter 16 = (1/a)^2 + a^2 = 7 (From (1)) So Radius = 16/2 = 7/2 Circumference = 2*Pi*r = 2*(22/7)*(7/2) =16 So the answer ... | D | calc |
ape210k__00420523 | The weight of a whale is 12 tons more than 37.5 times the weight of an elephant. It is known that the weight of a whale is 162 tons. How many tons does an elephant weigh? | <gadget id="calculator">162 - 12</gadget>
<output>150</output>
<gadget id="calculator">150 / 37.5</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
ape210k__00095974 | A bottle of oil, 1.6 kg is used for the first time, and the rest (3/4) is used for the second time, and there is still 2.1 kg of oil in the bottle. How much does this bottle of oil weigh in kilograms? | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">1.6 * (3/4)</gadget>
<output>1.2</output>
<gadget id="calculator">2.1 - 1.2</gadget>
<output>0.9</output>
<gadget id="calculator">1.6 + 0.9</gadget>
<output>2.5</output>
<gadget id="calculator">1 - (3/4)</gadget>
<outp... | 10 | calc |
math_qa__z6FFrRzYT4q5z72K | A trailer carries 3, 4 and 5 crates on a trip. Each crate weighs no less than 1250 kg. What is the maximum weight of the crates on a single trip? Choose the correct answer:
A) 1250
B) 6250
C) 600
D) 7500
E) 375 | <gadget id="calculator">5 * 1_250</gadget>
<output>6_250</output>
<result>B</result> | B | calc |
ape210k__00931633 | Subtract 8 continuously from 232, and it will be 0 as many times as you subtract. | <gadget id="calculator">232 / 8</gadget>
<output>29</output>
<result>29</result> | 29 | calc |
aqua_rat__ihDd8eetHVL9InQ6 | If a, b, c, and d are integers; w, x, y, and z are prime numbers; w < x < y < z; and (wa)(xb)(yc)(zd)=660(wa)(xb)(yc)(zd)=660, what is the value of (a + b) – (c + d)?
Choose the correct choice from the following options: A) –1 B) 0 C) 1 D) 2 E) 3 | 660660= 2^2 x 3^1 x 5^1 x 11^1 w < x < y < z = 2 < 3 < 5 < 11 So, can can say - w = 2 x = 3 y = 5 z = 11 Hence a = 2 , b = c = d = 1 (a + b) – (c + d) will be (2 + 1) – (1 + 1) = 1 Answer will be (1)
<result>C</result> | C | calc |
aqua_rat__YglAbSvL4V5pbn4D | Two cards are drawn together from a pack of 52 cards. The probability that one is a spade and one is a heart, is: Answers.
A) 2/109 B) 7/109 C) 8/223 D) 14/263 E) 13/102 | n(S) =(52 x 51)/(2 x 1)= 1326. Let E = event of getting 1 spade and 1 heart. n(E) = number of ways of choosing 1 spade out of 13 and 1 heart out of 13 = (13 x 13) = 169. P(13/102) = n(13/102)/n(S)169/1326=13/102 Answer 13/102
<result>E</result> | E | calc |
ape210k__00995563 | To build a road, the full length (2/5) was built on the first day, and 25% of the total length was repaired on the second day, leaving 3,500 meters unrepaired. How long is this road in meters? | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 - (2/5) - (1/4)</gadget>
<output>7/20 = around 0.35</output>
<gadget id="calculator">3_500 / (7/20)</gadget>
<output>10_000</output>
<result... | 10_000 | calc |
aqua_rat__2funm30NrD4hHpjk | a school has 6 maths 5 physics and 5 chemistry teachers each teacher can teach 4 subjects max what is he minimum number of teachers required
Choose one: A) 2 B) 4 C) 5 D) 6 E) 7 | Total subjects = 6+5+5=
<gadget id="calculator">6+5+5</gadget>
<output>16</output>
16 Max subjects by 1 teacher= 4 So, min of teachers required = 16/4=
<gadget id="calculator">16/4</gadget>
<output>4</output>
4 ANSWER:4
<result>B</result> | B | calc |
aqua_rat__Sv4o2syDsn4vPt2I | The slant height of a cone is 12 cm and radius of the base is 4cm, find the curved surface of the cone?
Choose the correct choice from the following: A) 87 B) 26 C) 48 D) 37 E) 20 | π * 12 * 4 = 48 Answer:48
<result>C</result> | C | calc |
ape210k__00157756 | a, b, c are all prime numbers, and a+b=33, b+c=44, c+d=66, then cd=how many. | <gadget id="calculator">33 - 2</gadget>
<output>31</output>
<gadget id="calculator">44 - 31</gadget>
<output>13</output>
<gadget id="calculator">66 - 13</gadget>
<output>53</output>
<gadget id="calculator">53 * 13</gadget>
<output>689</output>
<result>689</result> | 689 | calc |
ape210k__00828761 | To celebrate New Year's Day, the students made 42 red flowers and 21 yellow flowers. How many bunches of flowers did the students make in total? | <gadget id="calculator">42 + 21</gadget>
<output>63</output>
<gadget id="calculator">63 / 3</gadget>
<output>21</output>
<result>21</result> | 21 | calc |
aqua_rat__wUDi7DZrO3c0PT7e | What is the probability of rolling two six-sided dice, and getting a different number on each die?
Answers
A) 5/6 B) 1/3 C) 4/9 D) 5/9 E) 7/18 | MAGOOSHOFFICIAL SOLUTION For the first die, we can roll any one of six numbers. For the second die, we can roll any number save for the number we rolled on the first die, giving us 5 possibilities. For the third die, we can roll four different numbers (we can’t roll the number we rolled on the first or second die. ... | A | calc |
aqua_rat__tuKfY8gOSLdUunmk | What is the maximum value of x3y3 + 3 x*y when x+y = 8? Select the correct option
A) 4144 B) 4122 C) 455 D) 4189 E) 4156 | The question probably be x3.y3+3x∗yx3.y3+3x∗y Sustitute x = 4 and y = 4 Option 4144
<result>A</result> | A | calc |
aqua_rat__26IOrKU7RocEMOQf | A certain research group plans to create computer models of x% of a list of 10,000 bacterial species known to inhabit the human body. After a budget cut, the group finds it must reduce this selection by (x − 10)%. In terms of x, how many species of bacteria will the group be able to model? Choose the correct choice fro... | Initial: (x/100)*10000 = 100x (bacterial species) After reduce BY (x - 10)%, the percentage of bacterial species = 1 - (x - 10)% = 1 - (x - 10)/100 = (110 - x)/100 Note: Difference between reduce to[means: the remain] and reduce by[means: the remain = 1 -reduce by] So, the number of bacterial species after reduci... | E | calc |
ape210k__00086238 | 1250*80, how many 0s are there at the end of the product? | <result>5</result> | 5 | calc |
ape210k__00472140 | There are two water pipes above the barrel, if one of them is opened alone, the empty bucket can be filled with water in 24 minutes; if the other is opened alone, the empty bucket can be filled with water in 15 minutes. The small hole flows out, and a full bucket of water can be left in 2 hours. If two water pipes are ... | <gadget id="calculator">1 / 24</gadget>
<output>1/24 = around 0.041667</output>
<gadget id="calculator">1 / 15</gadget>
<output>1/15 = around 0.066667</output>
<gadget id="calculator">1 / 120</gadget>
<output>1/120 = around 0.008333</output>
<gadget id="calculator">(1/15) - (1/120)</gadget>
<output>7/120 = around 0.... | 10 | calc |
ape210k__01153909 | The oil yield rate of a kind of rapeseed is 40%, how many kilograms of this kind of rapeseed is needed to extract 120 kg of oil? | <gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">120 / (2/5)</gadget>
<output>300</output>
<result>300</result> | 300 | calc |
ape210k__00505454 | West Lake Primary School sent some students to Hope Primary School for hand-in-hand activities. There were 25 students in the fourth grade, and 8 students in the fifth and sixth grades were 5 times more than the fourth grade. How many people went to the three grades in total? | <gadget id="calculator">25 * 5</gadget>
<output>125</output>
<gadget id="calculator">125 + 8 + 25</gadget>
<output>158</output>
<result>158</result> | 158 | calc |
ape210k__00628506 | To build a road, (2/5) kilometers were built on the first day, and (1/6) kilometers were repaired less on the second day than on the first day. How many kilometers were repaired in two days? | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(2/5) - (1/6)</gadget>
<output>7/30 = around 0.233333</output>
<gadget id="calculator">(2/5) + (7/30)</gadget>
<output>19/30 = around 0.633333... | 19/30 | calc |
ape210k__00904661 | A bottle of water weighs (5/8) kilograms, and the weight of the bottle after drinking half of the water is (19/48) kilograms. How many kilograms does the bottle weigh? | <gadget id="calculator">5 / 8</gadget>
<output>5/8 = around 0.625</output>
<gadget id="calculator">19 / 48</gadget>
<output>19/48 = around 0.395833</output>
<gadget id="calculator">(5/8) - (19/48)</gadget>
<output>11/48 = around 0.229167</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</outpu... | 1/6 | calc |
aqua_rat__mv0ouwRYyKe93Qep | 2.205 divided by 0.3 gives
Pick
A) 7.35 B) 6.25 C) 8.15 D) 6.95 E) None of these | Explanation : 2.205/0.3 = 22.05/3 = 7.35. 7.35nswer : Option 7.35
<result>A</result> | A | calc |
ape210k__01198217 | There are 72 footballs, exactly 8 times the number of basketballs. How many basketballs are there? | <gadget id="calculator">72 / 8</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
ape210k__00078999 | TV factory produced 500,000 TVs in the first half of last year, which was (5/6) of the production in the second half of the year. How many million units did this TV factory produce last year? | <gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">50 / (5/6)</gadget>
<output>60</output>
<gadget id="calculator">60 + 50</gadget>
<output>110</output>
<result>110</result> | 110 | calc |
ape210k__00484606 | Each tape is 12 yuan, buy 5 boxes and get 1 free. Mr. Li buys 5 boxes at a time, how much is each box cheaper? | <gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">12 * (5/6)</gadget>
<output>10</output>
<gadget id="calculator">12 - 10</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
ape210k__00154455 | A and B have a total of 360 yuan, and A’s money is three times that of B’s. How much is B’s money? | <gadget id="calculator">3 + 1</gadget>
<output>4</output>
<gadget id="calculator">360 / 4</gadget>
<output>90</output>
<result>90</result> | 90 | calc |
math_qa__iPhzmADhXWyxDkA5 | Find the number, difference between number and its 3/5 is 50. Pick: A) 120 B) 123 C) 124 D) 125 E) 359 | <gadget id="calculator">50 / 2</gadget>
<output>25</output>
<gadget id="calculator">25 * 5</gadget>
<output>125</output>
<result>D</result> | D | calc |
ape210k__01124613 | A triangle and a parallelogram have the same base and same height, the area of the parallelogram is 84cm**2, what is the area of the triangle dm**2. | <gadget id="calculator">84 / 2</gadget>
<output>42</output>
<result>42</result> | 42 | calc |
ape210k__00906361 | A square vegetable greenhouse with a side length of 60 meters. If 8 loofah seedlings can be planted per square meter, how many loofah seedlings can be planted in this greenhouse? | <gadget id="calculator">60 * 60 * 8</gadget>
<output>28_800</output>
<result>28_800</result> | 28_800 | calc |
ape210k__00291684 | The ratio of poplars to willows in the campus is 3:5. There are 18 poplars. How many willows are there? | <gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">18 / (3/5)</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
ape210k__00949099 | Two cars A and B drive towards each other from places A and B at the same time. Car A travels 80 kilometers per hour, and car B travels 75 kilometers per hour. After 2.5 hours, the two cars meet. The distance between A and B is How many kilometers? | <gadget id="calculator">80 + 75</gadget>
<output>155</output>
<gadget id="calculator">155 * 2.5</gadget>
<output>387.5</output>
<result>387.5</result> | 387.5 | calc |
ape210k__00590208 | In the love donation activity for Yushu, the amount of money donated by the fifth grade students of Experimental Primary School is that of the sixth grade (4/5). The two grades donated a total of 4,500 yuan. How much is the donation for the sixth grade? | <gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">1 + (4/5)</gadget>
<output>9/5 = around 1.8</output>
<gadget id="calculator">4_500 / (9/5)</gadget>
<output>2_500</output>
<result>2_500</result> | 2_500 | calc |
ape210k__00628610 | To make a pair of rectangular buckets without a cover, the bottom surface is a square with a side length of 3 decimeters and a height of 4 decimeters, how much iron sheet should be used at least? | <gadget id="calculator">3 * 3</gadget>
<output>9</output>
<gadget id="calculator">3 * 4 * 4</gadget>
<output>48</output>
<gadget id="calculator">9 + 48</gadget>
<output>57</output>
<gadget id="calculator">57 * 2</gadget>
<output>114</output>
<result>114</result> | 114 | calc |
ape210k__00717881 | How many fractions can be converted into finite decimals in "(2/5)(4/9)(9/15)(1/16)(7/20)". | <result>4</result> | 4 | calc |
aqua_rat__boYycB70A5XT2W2Y | By selling 14 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%? Choose the correct choice from the following answers
A) 28
B) 26
C) 25
D) 23
E) 21 | 80% --- 14 120% --- ? 80/120 * 14 = 21 Answer:21
<result>E</result> | E | calc |
aqua_rat__LZQtpKOKF8J1pMeR | A man is 25 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is? Choose the correct choice from the following options
A) 11
B) 23
C) 27
D) 22
E) 91 | Let the son's present age be x years. Then, man's present age = (x + 25) years. (x + 25) + 2 = 2(x + 2) x + 27 = 2x + 4 => x = 23. Answer: 23
<result>B</result> | B | calc |
ape210k__00276135 | 987654321*1235-987654322*1234. | <gadget id="calculator">987_654_321 * 1_235</gadget>
<output>1_219_753_086_435</output>
<gadget id="calculator">987_654_322 * 1_234</gadget>
<output>1_218_765_433_348</output>
<gadget id="calculator">1_219_753_086_435 - 1_218_765_433_348</gadget>
<output>987_653_087</output>
<result>987_653_087</result> | 987_653_087 | calc |
ape210k__00440682 | There is a circular flower bed with a diameter of 8 meters in the center of Xingfu Park. Now it is going to pave a cobblestone path with a width of 1 meter around the flower bed. How many square meters is the area of this cobblestone path? | <gadget id="calculator">8 / 2</gadget>
<output>4</output>
<gadget id="calculator">4 + 1</gadget>
<output>5</output>
<gadget id="calculator">5 ** 2</gadget>
<output>25</output>
<gadget id="calculator">4 ** 2</gadget>
<output>16</output>
<gadget id="calculator">25 - 16</gadget>
<output>9</output>
<gadget id="calcula... | 28.26 | calc |
ape210k__00679191 | A piece of paper, write big characters (3/7), draw pictures (2/7), how much of this paper is left? | <gadget id="calculator">3 / 7</gadget>
<output>3/7 = around 0.428571</output>
<gadget id="calculator">2 / 7</gadget>
<output>2/7 = around 0.285714</output>
<gadget id="calculator">1 - (3/7) - (2/7)</gadget>
<output>2/7 = around 0.285714</output>
<result>2/7 = around 0.285714</result> | 2/7 | calc |
ape210k__00401463 | 6 children are divided into a bag of apples, and there are 2 more apples when they are divided. How many apples are there at least in this bag? | <gadget id="calculator">6 * 1</gadget>
<output>6</output>
<gadget id="calculator">6 + 2</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__01035233 | It takes 2.1 hours to go from A to B by car. If you ride a bicycle, you can travel an average of 10.5 kilometers per hour, which is 2.9 hours longer than by car. How many kilometers per hour are you traveling by car on average? | <gadget id="calculator">2.1 + 2.9</gadget>
<output>5</output>
<gadget id="calculator">5 / 2.1</gadget>
<output>2.380952</output>
<gadget id="calculator">10.5 * 2.380952</gadget>
<output>24.999996</output>
<result>24.999996</result> | 24.999996 | calc |
ape210k__00060245 | Two people, A and B, ride towards each other from two places at the same time. A travels 18 kilometers per hour, and B travels 15 kilometers per hour. When they meet, they are 3 kilometers away from the midpoint. How many kilometers is the distance between the two places? | <gadget id="calculator">18 + 15</gadget>
<output>33</output>
<gadget id="calculator">18 - 15</gadget>
<output>3</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">3 * (2/3)</gadget>
<output>2</output>
<gadget id="calculator">33 * 2</gadget>
<output>66</out... | 66 | calc |
ape210k__00754901 | The Chinese lunar calendar uses 12 animals of the rat, ox, tiger, rabbit, dragon, snake, horse, sheep, monkey, rooster, dog and pig to represent the year in turn. AD 1000 is the year of the rat. What year is AD 2020? (A total of 12 animal zodiac signs, a cycle every 12 years) | <result>2_020</result> | 2_020 | calc |
ape210k__00766653 | Xiao Ming has 24 books, and his father has 15 more books than Xiao Ming's 6 times. How many books does Xiao Ming and his father have in total? | <gadget id="calculator">24 * 6</gadget>
<output>144</output>
<gadget id="calculator">144 + 15</gadget>
<output>159</output>
<gadget id="calculator">159 + 24</gadget>
<output>183</output>
<result>183</result> | 183 | calc |
aqua_rat__4dyVpRBYH8fqdscd | Seven years ago, the combined ages of Amir and Akshay was twice that of Saif. If the sum of the ages of Akshay and Amir, fifteen years hence, is 98 years, what is the present age of Saif? Choose the correct choice from the following: A) 27 yr B) 35 yrs C) 34 yrs D) 49 yr E) 29 yr | Amir -- M Akshay ..K Saif .. S M+K =2S M+K+30= 98 M+K=68 S= 68/2=
<gadget id="calculator">68/2</gadget>
<output>34</output>
34 yrs ANSWER:34 yrs
<result>C</result> | C | calc |
ape210k__00085381 | The minuend is 32, the ratio of the difference to the subtrahend is 5:3, what is the difference. | <gadget id="calculator">5 + 3</gadget>
<output>8</output>
<gadget id="calculator">32 / 8</gadget>
<output>4</output>
<gadget id="calculator">4 * 5</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
aqua_rat__phpIH1Do17N4gshU | All of the citizens of a country have a four-character or five-character national identification code that is created using the 26 letters of the alphabet and the 10 digits from 0 to 9. What is the maximum number of citizens who can be designated with these codes?
Pick one: A) 37(36^4) B) 36^9 C) 35(36^5) D) 37(36^5) E... | The number of possible 4-digit codes is 36^4. The number of possible 5-digit codes is 36^5. The total sum is 36^4 + 36^5 = 36^4(1+36) = 37(36^4) The answer is 37(36^4).
<result>A</result> | A | calc |
ape210k__01088049 | There are two ropes, the lengths of which are 24 meters and 39 meters, respectively. They must be cut into small pieces of the same length, and there should be no remaining pieces. What is the longest length of each piece of rope? | <result>3</result> | 3 | calc |
aqua_rat__dKww6HG3TQch4nvA | What is the least value of x. So that 1894x is divisible by 3? Choose the correct choice from the following answers:
A) 2 B) 5 C) 1 D) 6 E) 7 | The sum of the digits of the number is divisible by 3, then the number is divisible by3. 1+ 8 + 9 + 4+ x= 22 +x Least value of X may be 2 Therefore 22 +2=
<gadget id="calculator"> 22 +2</gadget>
<output>24</output>
24 is divisible by 3. 2
<result>A</result> | A | calc |
ape210k__01148823 | The road construction team built 453 meters of road on the first day, and the road repaired on the second day was 45 meters less than three times that of the first day. How many meters were built in two days? | <gadget id="calculator">453 * 3</gadget>
<output>1_359</output>
<gadget id="calculator">1_359 - 45</gadget>
<output>1_314</output>
<gadget id="calculator">1_314 + 453</gadget>
<output>1_767</output>
<result>1_767</result> | 1_767 | calc |
math_qa__jXTo2KB6700EIGtD | total dinning bill of 5 people was $139.00 and 10% tip divided the bill evenly ?what is the bill amount each person shared .
Pick one: A) 32.84 B) 22.84 C) 30.58 D) 24.84 E) 30.84 | <gadget id="calculator">1 / 10</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">139 * (11/10)</gadget>
<output>1_529/10 = around 152.9</output>
<gadget id="calculator">(1_529/10) / 5</gadget>
<output>1_529/50 = around ... | C | calc |
aqua_rat__1hnJVxd4EWkFAs34 | A man's regular pay is $3 per hour up to 40 hours. Overtime is twice the payment for regular time. If he was paid $180, how many hours overtime did he work? Choose the correct choice from the following:
A) 8 B) 5 C) 9 D) 6 E) 10 | At $3 per hour up to 40 hours, regular pay = $3 x 40 = $120 If total pay = $168, overtime pay = $180 - $120 = $60 Overtime rate (twice regular) 180 - 120=
<gadget id="calculator">180 - 120</gadget>
<output>60</output>
$60 Overtime rate (twice regular)= 2 x $3 = $6 per hour => number of overtime hours = $60/$6 =10... | E | calc |
ape210k__00542647 | cube water tank with a side length of 12 decimeters is filled with half a tank of water. When the first cuboid iron block is put in, the water level rises by 2.5 decimeters, and when the second cuboid iron block is put in, the water level rises 4 decimeters (the iron blocks put in twice are completely submerged in wate... | <gadget id="calculator">4 - 2.5</gadget>
<output>1.5</output>
<gadget id="calculator">12 * 12 * 1.5</gadget>
<output>216</output>
<result>216</result> | 216 | calc |
aqua_rat__vVFrfnMpHoInPNfU | A certain telephone company offers two plans, A and B. Under plan A, the company charges a total of $0.60 for the first 6 minutes of each call and $0.06 per minute thereafter. Under plan B, the company charges $0.08 per minute of each call. What is the duration of a call, in minutes, for which the company charges the s... | Let the duration, in minutes, for which the company charges the same under plan A and plan B be t minutes. Then under plan A the cost would be $0.6+0.06(t-6) and under plan B the cost would be $0.08t. We want these amount to be equal: 0.6+0.06(t-6)=0.08t --> 60+6(t-6)=8t --> t=12. 12nswer: 12.
<result>A</resu... | A | calc |
ape210k__00217616 | A wire encloses a square with a side length of 1.57 decimeters. If it encloses a circle, what is the radius of the circle in decimeters? | <gadget id="calculator">4 / 3.14 / 2</gadget>
<output>0.636943</output>
<gadget id="calculator">1.57 * 0.636943</gadget>
<output>1.000001</output>
<result>1.000001</result> | 1.000001 | calc |
math_qa__86dEFJn46qrMmcJP | A no.when divided by 142 gives a remainder 110, what remainder will be obtainedby dividingthe same no.14? Options
A) 16 B) 17 C) 18 D) 19 E) 20 | <gadget id="calculator">142 + 110</gadget>
<output>252</output>
<gadget id="calculator">252 / 14</gadget>
<output>18</output>
<result>C</result> | C | calc |
aqua_rat__SjrjoGb45pbIG4jV | Last month, John rejected 0.7% of the products that he inspected and Jane rejected 0.8 percent of the products that she inspected. If total of 0.75 percent of the products produced last month were rejected, what fraction of the products did Jane inspect? Choose the correct choice from the following answers:
A) 1/6
B) 1... | X - fraction of products Jane inspected (1 - X) - fraction of products John inspected 0.8(X) + 0.7(1-X) = 0.75 0.1X = 0.75 - 0.7=
<gadget id="calculator">0.75 - 0.7</gadget>
<output>0.05</output>
0.05/0.1 X= 1/2 Therefore the answer is 1/2: 1/2.
<result>B</result> | B | calc |
ape210k__00895971 | Xiaojun’s new house is being renovated. The length of Xiaojun’s bedroom is 4 meters, the width is 2.5 meters, and the height is 2.8 meters. Wall coverings must be pasted on the four walls of the room. The area of doors and windows is 8 square meters, and at least wall coverings must be used. How many square meters? | <gadget id="calculator">4 * 2.8</gadget>
<output>11.2</output>
<gadget id="calculator">2.5 * 2.8</gadget>
<output>7</output>
<gadget id="calculator">11.2 + 7</gadget>
<output>18.2</output>
<gadget id="calculator">18.2 * 2</gadget>
<output>36.4</output>
<gadget id="calculator">36.4 - 8</gadget>
<output>28.4</output>... | 28.4 | calc |
aqua_rat__t8KcDoWBTB8Uy0BV | How many ways can a selection be done of 5 letters out of 5 A's, 4B's, 3C's, 2D's and 1 E.
Pick one
A) 60 B) 75 C) 71 D) 121 E) 221 | We have the following letters: {AAAAA}, {BBBB}, {CCC}, {DD}, {E} There are 7 different cases of 5 letter selections possible: (5) - all letters are alike - 1 way, all A's; (4, 1) - 4 letters are alike and 1 different - C12∗C14=8C21∗C41=8, where C12C21 is # of ways to choose which letter provides us with 4 letters... | C | calc |
aqua_rat__hmWeEQDyTyOUjyqb | You have been given a physical balance and 7 weights of 43, 45, 30, 33, 28, 37 and 55 kgs. Keeping weights on one pan and object on the other, what is the maximum you can weigh less than 145 kgs. Choose the correct choice from the following answers.
A) 145
B) 143
C) 147
D) 141
E) 142 | 55 + 43 + 45=
<gadget id="calculator">55 + 43 + 45</gadget>
<output>143</output>
143 Answer: 143
<result>B</result> | B | calc |
ape210k__00863553 | A pile of coal is transported away on the first day (3/7), and transported away on the second day (2/7), what percentage is transported in total in two days? | <gadget id="calculator">3 / 7</gadget>
<output>3/7 = around 0.428571</output>
<gadget id="calculator">2 / 7</gadget>
<output>2/7 = around 0.285714</output>
<gadget id="calculator">(3/7) + (2/7)</gadget>
<output>5/7 = around 0.714286</output>
<result>5/7 = around 0.714286</result> | 5/7 | calc |
ape210k__00074906 | 96 0.125 is 7.8 less than 45% of a number, find this number (use equation solution) | <gadget id="calculator">0.125 * 96</gadget>
<output>12</output>
<gadget id="calculator">12 + 7.8</gadget>
<output>19.8</output>
<gadget id="calculator">19.8 / 0.45</gadget>
<output>44</output>
<result>44</result> | 44 | calc |
ape210k__00540805 | A conical wheat pile has a base circumference of 12.56 meters and a height of 3 meters. Each cubic meter of wheat weighs 0.75 tons. How many tons does this pile of wheat weigh? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">12.56 / 3.14 / 2</gadget>
<output>2</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">(1/3) * 3.14 * 4 * 3 * 0.75</gadget>
<output>9.42</output>
<result>9.42</result> | 9.42 | calc |
aqua_rat__MNIFz3iJHvMe2FuF | When integer n is divided by 15, the remainder is 5. Which of the following has a remainder of 10 when divided by 15 ?
I. 3l
II. 4l+10
III. 5l
IV. 2l
V .6l Choose the correct answer: A) I B) III C) IV D) V E) II | III
<result>B</result> | B | calc |
aqua_rat__etWNzTEaP7UeKTEF | At a certain supplier, a machine of type A costs $20,000 and a machine of type B costs $40,000. Each machine can be purchased by making a 20 percent down payment and repaying the remainder of the cost and the finance charges over a period of time. If the finance charges are equal to 40 percent of the remainder of the c... | 1 machine of type B will cost: 20% down payment of 40,000 = 8,000plusremaining sum (50,000-8,000=42,000) with 40% of finance charges 42,000*1.4=58,800 --> 8,000+58,800=66,800; 2 machine of type A will cost: 20% down payment of 2*20,000 = 8,000plusremaining sum (40,000-8,000=32,000) with 40% of finance charges 32,0... | A | calc |
ape210k__00096068 | The length of the road from A to B is 392 km. A car travels 168 kilometers in 3 hours. According to this calculation, how many hours will it take to complete the operation? (answer in two ways) | <gadget id="calculator">392 - 168</gadget>
<output>224</output>
<gadget id="calculator">168 / 3</gadget>
<output>56</output>
<gadget id="calculator">224 / 56</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
aqua_rat__6i0wEFhZFdV1xq8F | If the perimeter of a rectangular garden is 800 m, its length when its breadth is 100 m is?
Choose the correct choice from the following options: A) 338 m B) 300 m C) 200 m D) 276 m E) 971 m | 2(l + 100) = 800 => l = 300 m Answer:300 m
<result>B</result> | B | calc |
ape210k__00503334 | playground used to be 40 meters long and 35 meters wide. After expansion, the length increased by 15 meters and the width increased by 5 meters. How many square meters is the current grassland area larger than the original one? | <gadget id="calculator">40 + 15</gadget>
<output>55</output>
<gadget id="calculator">35 + 5</gadget>
<output>40</output>
<gadget id="calculator">55 * 40</gadget>
<output>2_200</output>
<gadget id="calculator">40 * 25</gadget>
<output>1_000</output>
<gadget id="calculator">2_200 - 1_000</gadget>
<output>1_200</outpu... | 1_200 | calc |
math_qa__cHh0GhRs09drar24 | If x is equal to the sum of the integers from 10 to 20, inclusive, and y is the number of EVEN integers from 10 to 20, inclusive, what is the value of x+y ?
Choose the correct choice from the following options: A) 171 B) 175 C) 180 D) 190 E) 200 | <gadget id="calculator">10 + 20</gadget>
<output>30</output>
<gadget id="calculator">30 / 2</gadget>
<output>15</output>
<gadget id="calculator">20 - 10</gadget>
<output>10</output>
<gadget id="calculator">10 + 1</gadget>
<output>11</output>
<gadget id="calculator">15 * 11</gadget>
<output>165</output>
<gadget id=... | A | calc |
math_qa__4YNmPDnjNb7tM4sM | A small pool filled only with water will require an additional 300 gallons of water in order to be filled to 70% of its capacity. If pumping in these additional 300 gallons of water will increase the amount of water in the pool by 30%, what is the total capacity of the pool in gallons?
Choices.
A) 1000 B) 1250 C) 1300 ... | <gadget id="calculator">300 * 100</gadget>
<output>30_000</output>
<gadget id="calculator">30_000 / 30</gadget>
<output>1_000</output>
<gadget id="calculator">1_000 + 300</gadget>
<output>1_300</output>
<gadget id="calculator">70 / 100</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">1_300 / (7/1... | E | calc |
aqua_rat__nM0e0c8Hob3OX4jQ | The organizers of a week-long fair have hired exactly six security guards to patrol the fairgrounds at night for the duration of the event. Exactly two guards are assigned to patrol the grounds every night, with no guard assigned consecutive nights. If the fair begins on a Monday, how many different pairs of guards wil... | For any given day, only the guards patrolling on the previous day won't be available. So, 2 guards who patrolled on Friday won't be available. We are thus left with 4 guards. To choose 2 out of 4, we will have 4C2 = 6 different pairs. The answer is 6.
<result>B</result> | B | calc |
ape210k__00804921 | A pile of coal is 384 tons, and it was transported in 2 days by 4 trucks. How many tons of coal does each truck carry on average per day? | <gadget id="calculator">384 / 4 / 2</gadget>
<output>48</output>
<result>48</result> | 48 | calc |
ape210k__00387361 | The ratio of large numbers to small numbers is 8:7, how much more large numbers than small numbers. | <gadget id="calculator">8 - 7</gadget>
<output>1</output>
<gadget id="calculator">1 / 7</gadget>
<output>1/7 = around 0.142857</output>
<result>1/7 = around 0.142857</result> | 1/7 | calc |
ape210k__00542374 | Now the ratio of the number of candies between Xiaoming and Xiaohua is 4:1. If Xiaoming gives Xiaohua 13 pieces, the ratio of the number of candies between the two is 7:5. How many candies do the two have together? | <gadget id="calculator">4 + 1</gadget>
<output>5</output>
<gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">7 + 5</gadget>
<output>12</output>
<gadget id="calculator">7 / 12</gadget>
<output>7/12 = around 0.583333</output>
<gadget id="calculator">(4/5) - (7/12)</gadget... | 60 | calc |
ape210k__00112302 | In the illustration of a mathematics book, there are 100 parallelograms, 80 rectangles, and 40 rhombuses. What is the minimum number of squares in the illustrations in this book. | <gadget id="calculator">40 - 100</gadget>
<output>-60</output>
<gadget id="calculator">80 + (-60)</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
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