id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00148621 | A barrel of oil is used up twice, (2/3) is used for the first time, and (2/3) kilograms are used for the second time, how many kilograms are there in the barrel of oil? | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">1 - (2/3)</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(2/3) / (1/3)</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
ape210k__00166287 | Xiaobing used 300 seeds to do a germination test. As a result, only 9 seeds did not germinate. What is the germination rate? | <gadget id="calculator">300 - 9</gadget>
<output>291</output>
<gadget id="calculator">291 / 300</gadget>
<output>97/100 = around 0.97</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(97/100) * 1</gadget>
<output>97/100 = around 0.97</output>
<result>97/100 = around 0.9... | 97/100 | calc |
ape210k__00166578 | The water in a water tank is full (4/5), and after 25% is used, the remaining water is 210 liters more than used. How many liters of water is this tank filled with? | <gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 - (1/4) - (1/4)</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">210 / (1/2)</gadget>
<output>420</output>
<gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="cal... | 525 | calc |
aqua_rat__ed5FkmOWM7aBY66l | The positive number a is q percent greater than the positive number b, which is p percent less than a itself. If a is increased by p percent, and the result is then decreased by q percent to produce a positive number c, which of the following could be true?
I. c > a
II. c = a
III. c < a
Choose the correct choice from t... | a = (1 + q%)b b = (1-p%)a a = (1 + q%)*(1-p%)a So (1 + q%)(1 - p%) = 1 = No change One easy solution to this would be q = 0 and p = 0. In that case, a = b = c. So statement II can hold. Assuming p and q are not 0, (1 + q%)(1 - p%) = 1 = No change So if you increase something by q% (it becomes bigger) and ... | E | calc |
ape210k__00131259 | A cylinder and a cone with the same base and height, the sum of their volumes is 80 cubic centimeters, what is the volume of the cone in cubic centimeters? | <gadget id="calculator">80 / 4</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
ape210k__00434497 | Among the following quantities, what is the nearest 0.5 kilogram in grams | <result>490</result> | 490 | calc |
ape210k__00095403 | There are 126 boys and 112 girls in the first grade. The number of students in the whole school is 6 times the number of students in the first grade. How many students are there in the whole school? | <gadget id="calculator">126 + 112</gadget>
<output>238</output>
<gadget id="calculator">238 * 6</gadget>
<output>1_428</output>
<result>1_428</result> | 1_428 | calc |
ape210k__00429066 | If two cubes with side lengths of 1 cm are put together to form a cuboid, what is the reduction in surface area in square centimeters? | <gadget id="calculator">1 * 1 * 2</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
ape210k__00547046 | The area of a triangle is 60 square meters, the height is 12 meters, what is the base? | <gadget id="calculator">2 / 12</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">60 * (1/6)</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__00295027 | There is a sloping road 45 kilometers long. The carriage goes down 10 kilometers per hour, and the charge is 4 yuan. The uphill travels 5 kilometers per hour, and the toll is 5.5 yuan. Today, there are two carriages carrying passengers at both ends of the slope. When the two carriages meet on the way, the two carriages... | <gadget id="calculator">10 + 5</gadget>
<output>15</output>
<gadget id="calculator">45 / 15 / 10</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">10 * (3/10) * 4</gadget>
<output>12</output>
<gadget id="calculator">45 / 15 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">10 ... | 27 | calc |
ape210k__01202691 | Zhongbai Supermarket shipped 350 kilograms of cucumbers and tomatoes, of which the weight of cucumbers accounted for 3/7 of the total. How many kilograms of cucumbers were shipped? | <gadget id="calculator">3 / 7</gadget>
<output>3/7 = around 0.428571</output>
<gadget id="calculator">350 * (3/7)</gadget>
<output>150</output>
<result>150</result> | 150 | calc |
ape210k__00120078 | A road is 200 meters long, and a tree is planted every 5 meters from the beginning to the end of the road. How many trees should be planted in total? | <gadget id="calculator">200 / 5</gadget>
<output>40</output>
<gadget id="calculator">40 + 1</gadget>
<output>41</output>
<result>41</result> | 41 | calc |
ape210k__00433066 | Two road repairing teams worked together to build a road, and the repair was completed in 5 days. The first team repaired 200 meters, and the second team repaired 170 meters. On average, how many meters more did the first team repair than the second team every day? | <gadget id="calculator">200 - 170</gadget>
<output>30</output>
<gadget id="calculator">30 / 5</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__01194811 | If the length of a rectangle is 7 decimeters and the width is 6 decimeters, what is its perimeter? | <gadget id="calculator">7 + 6</gadget>
<output>13</output>
<gadget id="calculator">13 * 2</gadget>
<output>26</output>
<result>26</result> | 26 | calc |
aqua_rat__6z9ihiODhNU2ylSR | Mangala completes a piece of work in 10 days, Raju completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is ? Choose the correct option
A) 6 days B) 8 days C) 12 days D) 14 days E) 16 days | If A can complete a work in x days and B can complete the same work in y days, then, both of them together can complete the work in x y/ x+ y days. That is, the required No. of days = 10 × 40/50 = 8 days. 8 days)
<result>B</result> | B | calc |
ape210k__00841819 | cuboid bunker is 5.5 meters long, 1.8 meters wide, and 0.8 meters deep. How many cubic meters of yellow sand is needed to spread 0.6 meters thick yellow sand in the bunker? | <gadget id="calculator">5.5 * 1.8 * 0.6</gadget>
<output>5.94</output>
<result>5.94</result> | 5.94 | calc |
ape210k__00513120 | The school sports area accounts for (3/10) of the total area of the campus, and (2/3) of the sports area is the football field. The area of the football field is the total area of the campus. | <gadget id="calculator">3 / 10</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(3/10) * (2/3)</gadget>
<output>1/5 = around 0.2</output>
<result>1/5 = around 0.2</result> | 1/5 | calc |
aqua_rat__Yi0dhXtJ1zKrchNQ | If a 10 percent deposit that has been paid toward the purchase of a certain product is $110, how much more remains to be paid? Choices.
A) $880
B) $990
C) $1,000
D) $1,100
E) $1,210 | 10/100P = 110 >> p= 110*100/10=
<gadget id="calculator">110*100/10</gadget>
<output>1_100</output>
1100 1100 - 110=
<gadget id="calculator">1100 - 110</gadget>
<output>990</output>
990 ANSWER:$990
<result>B</result> | B | calc |
ape210k__00600977 | The school has 304 basketballs and 8 footballs. How many times are there basketballs than footballs? | <gadget id="calculator">304 / 8</gadget>
<output>38</output>
<result>38</result> | 38 | calc |
ape210k__00688399 | During the Golden Week, Qufu’s tourism ticket revenue is 345,000 yuan of business tax at a rate of 3%, so how much is Qufu’s tourism ticket revenue? | <gadget id="calculator">3 / 100</gadget>
<output>3/100 = around 0.03</output>
<gadget id="calculator">34.5 / (3/100)</gadget>
<output>1_150</output>
<result>1_150</result> | 1_150 | calc |
ape210k__00265589 | Master Wang needs to process 1,200 parts, which is planned to be completed in 60 days, but actually processes 5 more parts per day than planned. How many days can actually complete the processing task? | <gadget id="calculator">1_200 / 60</gadget>
<output>20</output>
<gadget id="calculator">20 + 5</gadget>
<output>25</output>
<gadget id="calculator">1_200 / 25</gadget>
<output>48</output>
<result>48</result> | 48 | calc |
ape210k__00983347 | There were 576 tourists in the playground in the morning, 225 people left at noon, and 456 people came in the afternoon. How many people came to the playground all day? | <gadget id="calculator">576 + 456</gadget>
<output>1_032</output>
<result>1_032</result> | 1_032 | calc |
ape210k__00018361 | When a=3, b=1.5, c=2, what is the value of ab+2c | <gadget id="calculator">3 * 1.5</gadget>
<output>4.5</output>
<gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">4.5 + 4</gadget>
<output>8.5</output>
<result>8.5</result> | 8.5 | calc |
aqua_rat__4TfgLb2z2RaS4FsD | r=4^(n+2), then in terms of r, 9^n= Choose the most appropriate option.
A) r^2/81 B) r^2/9 C) r^2/256 D) r/3 E) r | Questions in terms of variables can be easily solved by plugging in some values: Say n = 0 r = 4^2 = 16 and you need the value of 16^n which is 16^0 = 1 So when you put r = 16 in the options, you should get 1. Only option (A) satisfies. Answer (r^2/256)
<result>C</result> | C | calc |
aqua_rat__kdd1hYXjojjB5RcI | At an examination in which full marks were 500. A got 10% less than B, B got 25% more than C and C got 20% less than D. If A got 360marks, what percentage of full marks was obtained by D?
Choices.
A) 48% B) 30% C) 12% D) 80% E) 28% | A B 12% D 90 100 80 100 A D 90 ----- 100 360 ------ ? = 400 500 ------ 400 100 ------- ? => 80% Answer: 12%
<result>C</result> | C | calc |
ape210k__00518590 | A triangle has a base of 6.8 decimeters and a height of 5 decimeters. There is a parallelogram with the same base and height. What is the area of this parallelogram? | <gadget id="calculator">6.8 * 5</gadget>
<output>34</output>
<result>34</result> | 34 | calc |
ape210k__00071461 | (6/7) means how many (1/7). | <result>6</result> | 6 | calc |
ape210k__00517771 | The fruit store shipped 5.75 tons of oranges, 0.15 tons more than the bananas (4/5). How many tons of bananas were shipped? | <gadget id="calculator">5.75 - 0.15</gadget>
<output>5.6</output>
<gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">5.6 / (4/5)</gadget>
<output>7</output>
<result>7</result> | 7 | calc |
ape210k__00792011 | When the little sloppy calculates 123 multiplied by a one-digit number, he regards 123 as 128, and the result is 20 greater than the correct result. Do you know what the correct result is? | <gadget id="calculator">128 - 123</gadget>
<output>5</output>
<gadget id="calculator">20 / 5</gadget>
<output>4</output>
<gadget id="calculator">4 * 123</gadget>
<output>492</output>
<result>492</result> | 492 | calc |
gsm8k__efdBQ5f97qHtJRPL | Jeff plays tennis for 2 hours. He scores a point every 5 minutes. He wins a match when he scores 8 points. How many games did he win? | He played for 2*60=
<gadget id="calculator">2*60</gadget>
<output>120</output>
120 minutes.
So he scores 120/5=
<gadget id="calculator">120/5</gadget>
<output>24</output>
24 points.
That means he won 24/8=
<gadget id="calculator">24/8</gadget>
<output>3</output>
3 games.
<result>3</result> | 3 | calc |
ape210k__00592143 | The denominator is 25, which is 8 more than the numerator. This fraction is ((())/(())). | <gadget id="calculator">25 - 8</gadget>
<output>17</output>
<gadget id="calculator">17 / 25</gadget>
<output>17/25 = around 0.68</output>
<result>17/25 = around 0.68</result> | 17/25 | calc |
ape210k__00548802 | A project can be completed by A alone in 10 days and by B in 15 days. Now B will do it in 3 days and A will continue to finish it. How many days will A need? | <gadget id="calculator">1 / 15</gadget>
<output>1/15 = around 0.066667</output>
<gadget id="calculator">(1/15) * 3</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">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadge... | 8 | calc |
ape210k__00661673 | There are 40 chickens and rabbits in a cage with 100 legs. How many chickens are there? | <gadget id="calculator">40 * 4</gadget>
<output>160</output>
<gadget id="calculator">160 - 100</gadget>
<output>60</output>
<gadget id="calculator">4 - 2</gadget>
<output>2</output>
<gadget id="calculator">60 / 2</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
aqua_rat__ayGZcUBxINHtevA8 | If a(a + 2) = 35 and b(b + 2) = 35, where a ≠ b, then a + b = Choose one:
A) -5
B) -6
C) -7
D) -2
E) -10 | i.e. if a = 5 then b = -7 or if a = -7 then b = 5 But in each case a+b = 5-7 = -2 Answer: -2
<result>D</result> | D | calc |
ape210k__00413359 | The decimal point of a certain number is moved one place to the right, which is 18.9 larger than the original number. What is the original number? | <gadget id="calculator">10 - 1</gadget>
<output>9</output>
<gadget id="calculator">18.9 / 9</gadget>
<output>2.1</output>
<result>2.1</result> | 2.1 | calc |
aqua_rat__3QWFChHag1eheRMi | Ravi purchased 20 dozens of toys at the rate of Rs. 380 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit? Choose one: A) 23% B) 1.2% C) 5.6% D) 4.21% E) 12.2% | D C.P. of 1 toy = 380/12 = Rs. 31.6 S.P of 1 toy = Rs. 33 Profit = 1.33/31.25 * 100 = 4.21% Answer is 4.21%
<result>D</result> | D | calc |
math_qa__mDRogwAQYXBGfKiu | An woman sitting in a train which is travelling at 25 kmph observes that a goods train travelling in a opposite direction, takes 3 seconds to pass him. If the goods train is 140 m long, find its speed. Choices.
A) 141 B) 142 C) 143 D) 144 E) 145 | <gadget id="calculator">140 / 3</gadget>
<output>140/3 = around 46.666667</output>
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">(140/3) / (5/18)</gadget>
<output>168</output>
<gadget id="calculator">168 - 25</gadget>
<output>143</output>
<result>C</result> | C | calc |
aqua_rat__ypHWmAv0MPRBSPeX | What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
Choose the correct choice from the following answers: A) 4% B) 13% C) 20% D) 23% E) 26% | Clearly, the numbers which have 1 or 9 in the unit's digit, have squares that end in the digit 1. Such numbers from 1 to 70 are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69. Number of such number =14 Required % = (14/70)x100 % =20% answer :20%
<result>C</result> | C | calc |
aqua_rat__21csdQDZIFWsL3bg | A is twice efficient as B and together they do the same work in as much time as C and D together. If C and D can complete the work in 20 and 30 daysrespectively, working alone ,then in how many days A can complete the work individually: Choices.
A) 12 days B) 18 days C) 24 days D) 30 days E) None of these | Explanation: A + 18 days = C + D | | | | Ratio of efficiency 10x + 5x 9x + 6x |________| |_________| 15x 15x Therefore , ratio of efficiency of A:C =10:9 Therefore, ratio of days taken by A:C = 9:10 Therefore, number of days taken by A = 18 days Answer: 18 days
<result>B</result> | B | calc |
aqua_rat__X7NLUdBn6uN00kyd | Of the four numbers, whose average is 60, the first is one-fourth of the sum of the last three. The first number is :
Choose the correct choice from the following answers.
A) 17 B) 29 C) 36 D) 48 E) 58 | Explanation: Let the first number be x, Then, sum of the four numbers = x + 4x = 5x. so, 5x/4 = 60 or x = (60 * 4) / 5=
<gadget id="calculator">(60 * 4) / 5</gadget>
<output>48</output>
48. Answer: 48
<result>D</result> | D | calc |
ape210k__00668617 | There are many desks in the classroom, all neatly arranged, the number of desks in each column is equal, and the number of desks in each row is equal. Xiaoqiu's desk is the third from the front, and the fourth from the back. There are three on his left, There is 1 picture on the right, how many pictures are there in Xi... | <gadget id="calculator">4 - 1</gadget>
<output>3</output>
<gadget id="calculator">3 + 3</gadget>
<output>6</output>
<gadget id="calculator">3 + 1 + 1</gadget>
<output>5</output>
<gadget id="calculator">6 * 5</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
ape210k__00139682 | The Yangtze River in my country is the third longest river in the world. Its total length is only 1/46 shorter than that of the Amazon River in South America, which is the largest river in the world. The total length of the Amazon River is 6,440 kilometers. | <gadget id="calculator">1 / 46</gadget>
<output>1/46 = around 0.021739</output>
<gadget id="calculator">1 - (1/46)</gadget>
<output>45/46 = around 0.978261</output>
<gadget id="calculator">6_440 * (45/46)</gadget>
<output>6_300</output>
<result>6_300</result> | 6_300 | calc |
ape210k__01194785 | In 2002, the age of the father was 5 times that of the son, and in 2010, the age of the father was 3 times that of the son. In what year was the father born? | <gadget id="calculator">3 - 1</gadget>
<output>2</output>
<gadget id="calculator">3 / 2</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">5 - 1</gadget>
<output>4</output>
<gadget id="calculator">5 / 4</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">(3/2) - (5/4)</gadget>
<outpu... | 1_962 | calc |
ape210k__01137613 | There are 380 students in the experimental primary school, of which the number of girls is boys (8/11). How many boys are there in the experimental primary school? | <gadget id="calculator">8 / 11</gadget>
<output>8/11 = around 0.727273</output>
<gadget id="calculator">1 + (8/11)</gadget>
<output>19/11 = around 1.727273</output>
<gadget id="calculator">380 / (19/11)</gadget>
<output>220</output>
<result>220</result> | 220 | calc |
ape210k__00422209 | The art group has 8 people, and the sports group has 15 people twice as many as the art group. How many people are there in the sports group? | <gadget id="calculator">8 * 2</gadget>
<output>16</output>
<gadget id="calculator">16 + 15</gadget>
<output>31</output>
<result>31</result> | 31 | calc |
ape210k__01173585 | A bookstore donated 2,438 books to a school in the disaster area, with an average of 126 books distributed to each class. After 18 classes, how many books will the school have? | <gadget id="calculator">126 * 18</gadget>
<output>2_268</output>
<gadget id="calculator">2_438 - 2_268</gadget>
<output>170</output>
<result>170</result> | 170 | calc |
aqua_rat__5Kr82qkCL6CS5aGQ | A certain street contains 100 buildings.They are numbered from 1 to 100. How many 9s are used in numbering these buildings? Choose the most appropriate option.
A) 21 B) 20 C) 19 D) 18 E) 9 | 9,19,29,39,49,59,69,79,89,90,91,92,93,94,95,96,97,98,99 so number of 9's=20 ANSWER:20
<result>B</result> | B | calc |
ape210k__00293097 | After the price of a piece of clothing is reduced by 50 yuan, it is sold for 200 yuan, how much is the reduction? | <gadget id="calculator">50 + 200</gadget>
<output>250</output>
<gadget id="calculator">50 / 250</gadget>
<output>1/5 = around 0.2</output>
<result>1/5 = around 0.2</result> | 1/5 | calc |
ape210k__00893485 | A rectangle has a width of 8 centimeters and an area of 256 square centimeters. What is its length in centimeters? | <gadget id="calculator">256 / 8</gadget>
<output>32</output>
<result>32</result> | 32 | calc |
ape210k__00384785 | The Experimental Primary School built a 400-meter-long circular plastic runway, and 130 meters have been completed. The rest will be completed within 30 days. How many meters will be built on average every day? | <gadget id="calculator">400 - 130</gadget>
<output>270</output>
<gadget id="calculator">270 / 30</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
ape210k__00194819 | Divide 150 into A, B, and C. A is 30, and the ratio of B to C is 3:5. What is C? | <gadget id="calculator">150 - 30</gadget>
<output>120</output>
<gadget id="calculator">3 + 5</gadget>
<output>8</output>
<gadget id="calculator">5 / 8</gadget>
<output>5/8 = around 0.625</output>
<gadget id="calculator">120 * (5/8)</gadget>
<output>75</output>
<result>75</result> | 75 | calc |
aqua_rat__SzuLZUUKDU3CGHXc | A train passes a station platform in 38 seconds and a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, what is the length of the platform? Options: A) 180 m B) 200 m C) 270 m D) 320 m E) None | Sol. Speed = [54 * 5/18] m/sec = 15 m/sec. Length of the train = (15 * 20)=
<gadget id="calculator">(15 * 20)</gadget>
<output>300</output>
300 m. Let the length of the platform be x metres. Then, x + 300 / 38= 15 ⇔ x + 300 = 570 ⇔ x = 270 m. Answer 270 m
<result>C</result> | C | calc |
ape210k__00061444 | The average value of five numbers is 100. After adding a number, the average value increases by 2, and when a seventh number is added, the average value increases by 2. What is the seventh number? | <gadget id="calculator">100 + 2 + 2</gadget>
<output>104</output>
<gadget id="calculator">104 * 7</gadget>
<output>728</output>
<gadget id="calculator">100 + 2</gadget>
<output>102</output>
<gadget id="calculator">102 * 6</gadget>
<output>612</output>
<gadget id="calculator">728 - 612</gadget>
<output>116</output>
... | 116 | calc |
ape210k__00887099 | cylindrical milk powder can has a bottom radius of 7cm and a height of 25cm. There is a label paper on its side. What is the approximate area of the label paper in square centimeters? (neglected at joints) | <gadget id="calculator">3.14 * 7 * 2 * 25</gadget>
<output>1_099</output>
<result>1_099</result> | 1_099 | calc |
aqua_rat__OogXu9do8b24Si3q | Four-ninths of a drink mix is dye and the rest is sugar. When the mix is added to water a gallon of drink is made that is 7.5% sugar. What percentage of the gallon is dye? Choose the correct choice from the following answers: A) 6 B) 6.5 C) 7.5 D) 8 E) 24 | The proportion of Dye and sugar will remain constant. Dye/Sugar = (4/9)/(5/9) = x/7.5 => 4/5 = x/7.5 => x = 4*7.5/5=
<gadget id="calculator">4*7.5/5</gadget>
<output>6</output>
6. 6nswer is 6.
<result>A</result> | A | calc |
ape210k__00912143 | In a germination test, 146 seeds germinated and 14 seeds did not germinate. What is the germination rate of this germination test? | <gadget id="calculator">146 + 14</gadget>
<output>160</output>
<gadget id="calculator">146 / 160</gadget>
<output>73/80 = around 0.9125</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(73/80) * 1</gadget>
<output>73/80 = around 0.9125</output>
<result>73/80 = around 0.... | 73/80 | calc |
ape210k__01180681 | Xiao Zhang has 10,000 yuan deposited in the bank with a 1-year interest rate of 2.75%. He told the staff that the deposit is only for one month. How much money can he get back this month plus his principal and interest? | <gadget id="calculator">0.35 / 100</gadget>
<output>0.0035</output>
<gadget id="calculator">10_000 * 0.0035</gadget>
<output>35</output>
<gadget id="calculator">10_000 + 35</gadget>
<output>10_035</output>
<result>10_035</result> | 10_035 | calc |
ape210k__01200205 | What is the sum of the quotient of 25 divided by 175 plus the product of 17 and 13? | <gadget id="calculator">175 / 25</gadget>
<output>7</output>
<gadget id="calculator">17 * 13</gadget>
<output>221</output>
<gadget id="calculator">7 + 221</gadget>
<output>228</output>
<result>228</result> | 228 | calc |
aqua_rat__AA7MzA3XNeJ4brO1 | 5% of men have unlisted phone numbers and 4% of women have unlisted phone numbers. Population ratio of men : women in the city of gpuzzles is 4:3. If we select randomly 100 people from the phone directory, Can you tell us how many people selected will definitely have unlisted phone numbers?
Pick
A) 0% B) 1% C) 2% D)... | Solution: 0% Explanation: In the number is in the phone directory, it means the number is listed and therefore if we pick any number from phone directory than number is surely listed. 0%nswer 0%
<result>A</result> | A | calc |
ape210k__00502352 | The product of two factors is 48. If one factor remains unchanged and the other factor is multiplied by 5 times, what is the product? | <gadget id="calculator">48 * 5</gadget>
<output>240</output>
<result>240</result> | 240 | calc |
ape210k__01171207 | At the New Year's Day party, there were 47 people in Class 1 of the sixth grade, 1 person on personal leave, and 2 people on sick leave. What is the attendance rate. | <gadget id="calculator">47 + 1 + 2</gadget>
<output>50</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</r... | 47/50 | calc |
ape210k__00055844 | Cut a section of round steel into the largest cone, the cut part weighs 8 kg, how much does the section of round steel weigh in kilograms? | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">8 / (2/3)</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
aqua_rat__7QKI4rwXd9RtrTXW | Bruce and Bhishma are running on a circular track of length 600m. Speed of Bruce is 30 m/s and that of Bhishma is 20 m/s .They start fro the same point at the same time in the same direction. When will they meet again for the first time? Choose the correct answer: A) 40 B) 45 C) 50 D) 60 E) 70 | Actually Arjun has to make a lead of 600 m, because when Arjun will be 600m ahead of Bhishma, they will be together again as a person when completes the total length it starts retracing he same path and thus Arjun and Bhishma can be together again. Since , they make a difference of 10 m in 1 second. so, he will creat... | D | calc |
gsm8k__MgmvDK774FnLTDyh | Tommy goes for a run around his neighborhood and decides to calculate how many wheels he saw. All the trucks in his neighborhood have 4 wheels and all the cars in his neighborhood also have 4 wheels. If he saw 12 trucks and 13 cars, how many wheels did he see? | He saw 25 total vehicles because 12 plus 13 equals
<gadget id="calculator">12+13</gadget>
<output>25</output>
25.
He saw 100 wheels because 25 times 4 equals
<gadget id="calculator">25*4</gadget>
<output>100</output>
100.
<result>100</result> | 100 | calc |
ape210k__00074310 | The two sides of a parallelogram are 12 cm and 8 cm respectively, and the height of one of the sides is 10 cm. What is the area of the parallelogram in square centimeters? | <gadget id="calculator">10 * 8</gadget>
<output>80</output>
<result>80</result> | 80 | calc |
ape210k__00119780 | To make (5/(a)) a true fraction and (6/(a)) an improper fraction, what should a be equal to | <result>6</result> | 6 | calc |
aqua_rat__2n80PruRdbXpOq3o | In a camp, there is a meal for 100 men or 200 children. If 130 children have taken the meal, how many men will be catered to with remaining meal?
Select the correct option
A) 20
B) 30
C) 35
D) 10
E) 40 | There is a meal for 200 children. 130 children have taken the meal. Remaining meal is to be catered to 70 children. Now, 200 children 100 men. 70 children (100/200) * 70 = 35 men Answer is 35. (100/200) * 70=
<gadget id="calculator"> (100/200) * 70</gadget>
<output>35</output>
35 men Answer is 35.
<result>C<... | C | calc |
aqua_rat__Zqz9OxMfwSAqdROn | If the true discount on s sum due 2 years hence at 14% per annum be Rs. 182, the sum due is: Answers: A) s. 832 B) s. 968 C) s. 1960 D) s. 2400 E) s. 2800 | td=pw*r*t/100 so 182=pw*14*2/100 so pw=650 sum=pw+td.. sum=650+182=
<gadget id="calculator">650+182</gadget>
<output>832</output>
832 s. 832NSWER:s. 832
<result>A</result> | A | calc |
ape210k__00225587 | Now the older brother is exactly twice the younger brother's age, and 9 years ago the older brother was five times the younger brother's age, what is the older brother's age now? How many | <gadget id="calculator">5 * 9</gadget>
<output>45</output>
<gadget id="calculator">45 - 9</gadget>
<output>36</output>
<gadget id="calculator">5 - 2</gadget>
<output>3</output>
<gadget id="calculator">36 / 3</gadget>
<output>12</output>
<gadget id="calculator">12 * 2</gadget>
<output>24</output>
<result>24</result... | 24 | calc |
math_qa__P9ZUPp61gmYuofFZ | Ramu bought an old car for Rs. 36400. He spent Rs. 8000 on repairs and sold it for Rs. 68400. What is his profit percent? Choose the correct choice from the following answers: A) 16 % B) 17 % C) 18 % D) 54 % E) 13 % | <gadget id="calculator">36_400 + 8_000</gadget>
<output>44_400</output>
<gadget id="calculator">68_400 - 44_400</gadget>
<output>24_000</output>
<gadget id="calculator">24_000 / 44_400</gadget>
<output>20/37 = around 0.540541</output>
<gadget id="calculator">(20/37) * 100</gadget>
<output>2_000/37 = around 54.054054... | D | calc |
ape210k__00919065 | If the length, width and height of a cuboid are enlarged to 4 times of the original, its surface area will be enlarged to how many times of the original. | <gadget id="calculator">4 * 4</gadget>
<output>16</output>
<result>16</result> | 16 | calc |
ape210k__00080649 | A box of fruit has A kilograms, sell (2/5), how many kilograms are left. | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 - (2/5)</gadget>
<output>3/5 = around 0.6</output>
<result>3/5 = around 0.6</result> | 3/5 | calc |
ape210k__00058354 | Plant a car in the desert to drive 200 kilometers per day. The car is filled with oil that can run for 24 days. In a further place, after car B travels for a certain distance, part of the gasoline is given to car A, and the remaining gasoline can make car B return. How much distance can car A travel at most? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 + (1/3)</gadget>
<output>4/3 = around 1.333333</output>
<gadget id="calculator">200 / 2</gadget>
<output>100</output>
<gadget id="calculator">24 * (4/3) * 100</gadget>
<output>3_200</output>
<result>3_200</result... | 3_200 | calc |
ape210k__00351442 | The students are going to have a party and buy some fruits. 68 apples were bought, and the number of pears was three times that of apples. How many fruits were prepared for the party? | <gadget id="calculator">68 * 3</gadget>
<output>204</output>
<gadget id="calculator">204 + 68</gadget>
<output>272</output>
<result>272</result> | 272 | calc |
ape210k__00023604 | From City A to City B, it takes 6 hours for a bus to travel on the road, and 4 hours for a small bus. Two cars depart from the two cities opposite each other and meet at a distance of 24 kilometers from the midpoint of the road. How many miles is the road between A and B? | <gadget id="calculator">3 + 2</gadget>
<output>5</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 - (2/5) - (2/5)</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">2 / (1/5)</gadget>
<output>10</output>
<gadget id="calculator">24 * 10</gadg... | 240 | calc |
aqua_rat__BkIg7NSjplO166l4 | A tank is filled in eight hours by three pipes A, B and C. Pipe A is twice as fast as pipe B, and B is twice as fast as C. How much time will pipe B alone take to fill the tank?
Choices:
A) 18 hours
B) 28 hours
C) 98 hours
D) 16 hours
E) 12 hours | 1/A + 1/B + 1/C = 1/8 (Given) Also given that A = 2B and B = 2C => 1/2B + 1/B + 2/B = 1/8 => (1 + 2 + 4)/2B = 1/8 => 2B/7 = 8 => B = 28 hours. Answer:28 hours
<result>B</result> | B | calc |
ape210k__00072420 | If one acute angle of a right triangle is 30°, what is the measure of the other acute angle? | <gadget id="calculator">90 - 30</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
ape210k__00444318 | What is the sum of 6 divided by 18 plus 450? | <gadget id="calculator">18 / 6</gadget>
<output>3</output>
<gadget id="calculator">3 + 450</gadget>
<output>453</output>
<result>453</result> | 453 | calc |
aqua_rat__fQFAQh4AGsI8SrUr | The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 9 km/hr completes one round in 5 min, then the area of the park (in sq. m) is? Choose the correct choice from the following answers: A) 337500 m B) 300000 m C) 153600 m D) 33750 ... | Perimeter = Distance covered in 5 min. = (9000 x 5)/60 m = 750 m. Let length = 3x metres and breadth = 2x metres. Then, 2(3x + 2x) = 750 or x = 75. Length = 225 m and Breadth = 150 m. Area = (225 x 150) m2 = 33750 m 33750 m
<result>D</result> | D | calc |
ape210k__00307222 | In the fifth grade mathematics final exam, there are 72 students with excellent grades, just accounting for 50% of the whole grade. How many students are there in the whole grade? | <gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">72 / (1/2)</gadget>
<output>144</output>
<result>144</result> | 144 | calc |
aqua_rat__cfSUYqKgWsCQbg0k | A and B can do a piece of work in 12 days. With the help of C they finish the work in 6 days. C alone can do that piece of work in?
Choose the correct choice
A) 33 B) 878 C) 30 D) 88 E) 12 | C = 1/6 – 1/12 = 1/12 => 12 days Answer: 12
<result>E</result> | E | calc |
aqua_rat__WsKe8JRSfg6m2pj8 | Each person who attended a company meeting was either a stockholder in the company, an employee of the company, or both. If 62 percent of those who attended the meeting were stockholders and 42 percent were employees, what percent were stockholders who were not employees? Choices
A) 34% B) 58% C) 45% D) 53% E) 62% | Let M represent the number of meeting attendees. Then, since 62% of M or 0.62M were stockholders and 42% of M or 0.42M were employees, it follows that 0.62M + 0.42M = 1.04M were either stockholders, employees, or both. Since 1.04M exceeds M, the excess 1.04M − M = 0.04M must be the number of attendees who were bo... | B | calc |
aqua_rat__3rX4XO4couGqoZtI | In how many ways can 5 boysand 2 girls be arranged at a table if 2 girls are never together? Answers
A) 346 B) 356 C) 378 D) 390 E) 480 | Total ways of arranging 7 person in a circle = 6! = 720 ways If we consider two women as one, then we have 5+1=
<gadget id="calculator"> 5+1</gadget>
<output>6</output>
6 persons. Arranging these six persons in circle will take= 5! = 120 ways And two women can arrange themselves in 2! ways Total ways in which... | E | calc |
aqua_rat__0tXOeQA7OVV92ktk | Which of the following points falls outside of the region defined by 2y≤6x−16? Choose one: A) (5, 1) B) (3, -8) C) (2, 0) D) (0, -14) E) (1, -2) | Equation given is 2y<=6x-12 Simplifying this; y<=3x-6 Plug in the values provided in the options, A. 1<=11 B. -8<=3 C. 0<=0 D.-14<=-12 E. -2<=-13 Option (1, -2) is the answer.
<result>E</result> | E | calc |
aqua_rat__7fqKS3tpViOC0q1v | If 4a = 16b and 9b = 14c, Find a:b:c?
Pick
A) 52:13:7 B) 13:7:52 C) 7:13:52 D) 64:14:9 E) None of these | Explanation: (4a = 16b ==> a/b = 16/4) and (9b = 14c ==> b/c = 14/9) ==> a:b = 16:4 and b:c = 14:9 a:b:c = 64:14:9 Answer: Option 64:14:9
<result>D</result> | D | calc |
math_qa__VqEK1Ysa73eZZ6in | On the first day of her vacation, Louisa traveled 200 miles. On the second day, traveling at the same average speed, she traveled 350 miles. If the 200-mile trip took 3 hours less than the 350-mile trip, what was the average speed, in miles per hour?
Select the correct option: A) 45 B) 55 C) 60 D) 65 E) 50 | <gadget id="calculator">350 - 200</gadget>
<output>150</output>
<gadget id="calculator">150 / 3</gadget>
<output>50</output>
<result>E</result> | E | calc |
ape210k__00362223 | A piece of square steel is 2 meters long and its cross section is a square with side length 1 decimeter. What is the volume of this piece of square steel in cubic decimeters? | <gadget id="calculator">2 * 10</gadget>
<output>20</output>
<gadget id="calculator">1 * 1 * 20</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
ape210k__00894301 | The ratio of the numbers A and B is 4:7, the number B is 18 more than the number A, what is the number A? | <gadget id="calculator">7 - 4</gadget>
<output>3</output>
<gadget id="calculator">18 / 3</gadget>
<output>6</output>
<gadget id="calculator">6 * 4</gadget>
<output>24</output>
<result>24</result> | 24 | calc |
ape210k__01069499 | Xingfu Village is going to build a road. If Team A alone takes 30 days to complete the construction, and Team B alone takes 20 days to complete the construction, now how many days will it take for Team A and Team B to complete the construction together? | <gadget id="calculator">1 / 30</gadget>
<output>1/30 = around 0.033333</output>
<gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">(1/30) + (1/20)</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">1 / (1/12)</gadget>
<output>12</output>
<result... | 12 | calc |
ape210k__00981617 | In a competition, 8 athletes led by Coach Li achieved good results. To express their congratulations, each of them (athlete and athlete, coach and athlete) shook hands once. How many times did they shake hands in total? | <gadget id="calculator">8 + 1</gadget>
<output>9</output>
<gadget id="calculator">9 - 1</gadget>
<output>8</output>
<gadget id="calculator">9 / 2</gadget>
<output>9/2 = around 4.5</output>
<gadget id="calculator">8 * (9/2)</gadget>
<output>36</output>
<result>36</result> | 36 | calc |
ape210k__01082089 | For a pile of coal, 12.85 tons are transported every day, and 19.6 tons remain after 4 days of transportation. How many tons was this pile of coal originally? | <gadget id="calculator">12.85 * 4</gadget>
<output>51.4</output>
<gadget id="calculator">51.4 + 19.6</gadget>
<output>71</output>
<result>71</result> | 71 | calc |
aqua_rat__sbIcXGzVx2npE0ps | A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 59.29, the number of the member is the group is Pick one
A) 57
B) 67
C) 77
D) 87
E) 97 | Money collected = (59.29 x 100) paise = 5929 paise. Number of members = 5929 = 77. ANSWER :77
<result>C</result> | C | calc |
math_qa__TtLFcx6A2bgasuFx | The cost of the paint is Rs. 36.50 per kg. If 1 kg of paint covers 16 square feet, how much will it cost to paint outside of a cube having 8 feet each side.
Choose the correct choice from the following answers:
A) rs . 850
B) rs . 860
C) rs . 876
D) rs . 886
E) none of these | <gadget id="calculator">6 * (8 ** 2)</gadget>
<output>384</output>
<gadget id="calculator">384 / 16</gadget>
<output>24</output>
<gadget id="calculator">24 * 36.5</gadget>
<output>876</output>
<result>C</result> | C | calc |
ape210k__00606363 | There is a circular fountain in Hailiang Square in Hohhot, Inner Mongolia. The measured circumference is 37.68 meters. How many square meters does this fountain occupy? | <gadget id="calculator">37.68 / 3.14 / 2</gadget>
<output>6</output>
<gadget id="calculator">6 ** 2</gadget>
<output>36</output>
<gadget id="calculator">3.14 * 36</gadget>
<output>113.04</output>
<result>113.04</result> | 113.04 | calc |
ape210k__00583049 | The goldfish tank is 4 decimeters long and 4 decimeters wide, and only 2 decimeters of water is poured into it. After putting in a small rockery, the water level rises by 6 cm. What is the volume of the rockery? | <gadget id="calculator">6 / 10</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">4 * 4 * (3/5)</gadget>
<output>48/5 = around 9.6</output>
<result>48/5 = around 9.6</result> | 48/5 | calc |
aqua_rat__X9shMCoCnxQGqOFi | In how many different number of ways 5 men and 2 women can sit on a shopa which can accommodate persons?
Select the correct option.
A) 170 B) 180 C) 200 D) 210 E) 230 | 7p3 = 7 × 6 × 5 = 210 Option '210'
<result>D</result> | D | calc |
ape210k__00497836 | During a math test in a class of fifth grade. 28 boys, with an average of 91.2 points; 22 girls, with an average of 91.6 points. What is the average score of this class? | <gadget id="calculator">91.2 * 28</gadget>
<output>2_553.6</output>
<gadget id="calculator">91.6 * 22</gadget>
<output>2_015.2</output>
<gadget id="calculator">2_553.6 + 2_015.2</gadget>
<output>4_568.8</output>
<gadget id="calculator">28 + 22</gadget>
<output>50</output>
<gadget id="calculator">4_568.8 / 50</gadge... | 91.376 | calc |
ape210k__00505821 | A glass of water is 2 liters, x ml is poured out each time, how many ml is left after pouring 4 times. | <gadget id="calculator">2 * 1_000</gadget>
<output>2_000</output>
<gadget id="calculator">2_000 - 4</gadget>
<output>1_996</output>
<result>1_996</result> | 1_996 | calc |
ape210k__00283780 | A car travels from place A to place B. It travels 25% of the journey in the first hour and 30% of the journey in the second hour. It travels a total of 220 kilometers in two hours. How many kilometers is the total length of places A and B? | <gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">(1/4) + (3/10)</gadget>
<output>11/20 = around 0.55</output>
<gadget id="calculator">220 / (11/20)</gadget>
<output>400</output>
<result>4... | 400 | calc |
aqua_rat__aBPcLotAjhZ9cBz8 | In the graph below, no axes or origin is shown. If point B's coordinates are (10,4), which of the following coordinates would most likely be A's? Choose the correct option.
A) (17, -2)
B) (10, 6)
C) (6, 8)
D) (-10, 3)
E) (-2, -17) | wherever be the axis as per question y coordinate of point A will be greater than 3 and X coordinate will be lower than 10. (10, 6) rules..
<result>B</result> | B | calc |
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