id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00852749 | There are 60 students in a class and 37 boys, what percentage of the class are girls? How many | <gadget id="calculator">60 - 37</gadget>
<output>23</output>
<gadget id="calculator">23 / 60</gadget>
<output>23/60 = around 0.383333</output>
<result>23/60 = around 0.383333</result> | 23/60 | calc |
ape210k__00137950 | The pig farm raised 280 pigs last year, and this year it has increased by 40% compared to last year. How many pigs will be raised this year? | <gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 + (2/5)</gadget>
<output>7/5 = around 1.4</output>
<gadget id="calculator">280 * (7/5)</gadget>
<output>392</output>
<result>392</result> | 392 | calc |
aqua_rat__8vv2fDiunU1kwYsH | If (5^15)(9^8)=3(15^x), what is the value of x?
Select the correct option
A) 7 B) 9 C) 11 D) 13 E) 15 | (5^15)(9^8)=3(15^x) => 5^15 * 3^16 = 3 * 3^x * 5^x => 5^15 * 3^16 = 3^(x+1) * 5^x Value of x = 15 Answer 15
<result>E</result> | E | calc |
math_qa__nQ7udcSaK0XCogUy | A cricketer scored 136 runs which included 12 boundaries and 2 sixes. What percent of his total score did he make by running between the wickets. Choices:
A) 46.2 %
B) 54.54 %
C) 55.88 %
D) 70 %
E) none of these | <gadget id="calculator">12 * 4</gadget>
<output>48</output>
<gadget id="calculator">2 * 3</gadget>
<output>6</output>
<gadget id="calculator">2 * 6</gadget>
<output>12</output>
<gadget id="calculator">48 + 12</gadget>
<output>60</output>
<gadget id="calculator">136 - 60</gadget>
<output>76</output>
<gadget id="cal... | C | calc |
ape210k__00235388 | A total of 30 small questions need to be done in a test, 11 points are given for one correct answer, 6 points are deducted for one wrong answer, 0 points are given for not answering, and a student gets 17 points in total, so how many questions does the student not solve? | <gadget id="calculator">30 - 7 - 10</gadget>
<output>13</output>
<result>13</result> | 13 | calc |
aqua_rat__TfXWOSvCpmoHNJ8I | Jamboree and GMAT Club Contest Starts
QUESTION #10:
How many words (with or without meaning)R can be formed using all the letters of the word “SELFIE” so that the two E’s are not together? Choose the correct choice from the following:
A) 660 B) 600 C) 500 D) 300 E) 240 | In general, repetitions are taken care of by dividing the permutation by the factorial of the number of objects that are identical. in this case,R if you think logically, A,B,C,D options are not divisible by 6!. 6 is total number of letters in the word SELFIE. Only option E is divisible by 6!. So correct answer is 240 ... | E | calc |
aqua_rat__LNpwrKjxM9bEiae2 | If cost of 15 eggs be 75 rupees, then find out the cost of 4 dozen eggs. Choose the correct choice from the following choices:
A) 300 B) 240 C) 500 D) 600 E) 700 | Cost of 15 eggs = 75 rupees Cost of 1 egg = 75/15=
<gadget id="calculator">75/15</gadget>
<output>5</output>
5 rupees, Cost of 4 dozens, i.e. 5 x 12= 60 x 4 = 240 Answer : 240
<result>B</result> | B | calc |
ape210k__00494889 | What is the reciprocal of (2/3). | <gadget id="calculator">3 / 2</gadget>
<output>3/2 = around 1.5</output>
<result>3/2 = around 1.5</result> | 3/2 | calc |
ape210k__00389126 | The distance between A and B is 350 kilometers. Cars A and B drive from the two places at the same time. After 3.5 hours, the two cars meet. Car A travels 49 kilometers per hour. How many kilometers does Car B travel per hour? (answer in two ways) | <gadget id="calculator">49 * 3.5</gadget>
<output>171.5</output>
<gadget id="calculator">350 - 171.5</gadget>
<output>178.5</output>
<gadget id="calculator">178.5 / 3.5</gadget>
<output>51</output>
<result>51</result> | 51 | calc |
aqua_rat__XnAVSk5OeaqYZzQK | The sum of the present ages of father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be? Choose one
A) 27 years B) 28 years C) 29 years D) 20 years E) 17 years | Let the present ages of son and father be x and (60 - x) years respectively. Then, (60 - x) - 6 = 5(x - 6) 6x = 84 => x = 14 Son's age after 6 years = (x + 6) = 20 years. Answer:20 years
<result>D</result> | D | calc |
ape210k__00185774 | The upper degree of a trapezoid is 6 decimeters, the lower base is 10 decimeters, and the height is 6 decimeters. With the upper base of the trapezoid as the base, draw a largest triangle inside. What is the area of this triangle in square decimeters? | <gadget id="calculator">6 / 2</gadget>
<output>3</output>
<gadget id="calculator">6 * 3</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
aqua_rat__6scGwOi3FCeS5uYy | list of salaries of 8 employees are listed below. What is the median salary?
$40,000, $29,000, $35,500, $31,000, $43,000, $30,000, $27,000, $34,000 Choose the most appropriate option.
A) $28,000
B) $28,500
C) $32,500
D) $30,800
E) $31,500 | Ordering the data from least to greatest, we get: $27,000, $29,000, $30,000, $31,000, $34,000, $35,500, $40,000, $43,000 Since there is an even number of items in the data set, we compute the median by taking the mean of the two middlemost numbers. $31,000 + $34,000 = $65,000 The median salary is $32,500. Ans... | C | calc |
aqua_rat__cGWfGFOU4WPrsqBF | If a company allocates 10 percent of its budget to advertising, 10 percent to capital improvements, and 72 percent to salaries, what fraction of its budget remains for other allocations? Choose the correct option:
A) 4/5
B) 2/25
C) 3/10
D) 1/5
E) 1/10 | 10 + 10 + 72=
<gadget id="calculator">10 + 10 + 72</gadget>
<output>92</output>
92% 100 - 92= 8% to all others 2/25
<result>B</result> | B | calc |
ape210k__00235660 | (1/4)*(5/6)-25%*(1/6)=how much. | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">(1/4) * (5/6)</gadget>
<output>5/24 = around 0.208333</output>
<gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
... | 1/6 | calc |
ape210k__01078667 | When water freezes, its volume increases by 10%. A piece of ice with a volume of 2.2 cubic meters, what is the volume after melting into water? | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 + (1/10)</gadget>
<output>11/10 = around 1.1</output>
<gadget id="calculator">2.2 / (11/10)</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
ape210k__00469777 | The school held a sports meeting, 162 people participated in running, and 18 people participated in rope skipping. How many times as many people take part in running than skipping rope? | <gadget id="calculator">162 / 18</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
ape210k__01113073 | There are 18 cypress trees and 5 oak trees in the school. What fraction are there oak trees compared to cypress trees? | <gadget id="calculator">5 / 18</gadget>
<output>5/18 = around 0.277778</output>
<result>5/18 = around 0.277778</result> | 5/18 | calc |
ape210k__00418669 | What is the number 2 more than (2/7) of 49? | <gadget id="calculator">2 / 7</gadget>
<output>2/7 = around 0.285714</output>
<gadget id="calculator">49 * (2/7)</gadget>
<output>14</output>
<gadget id="calculator">14 + 2</gadget>
<output>16</output>
<result>16</result> | 16 | calc |
aqua_rat__FpIIaukCR8DGg5yV | A mixture of 70 litres of milk and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12 1/2% water? Answers:
A) 17 B) 22 C) 58 D) 2 E) 69 | Explanation: Quantity of milk in the mixture = 90/100 (70) = 63 litres. After adding water, milk would form 87 1/2% of the mixture. Hence, if quantity of mixture after adding x liters of water, (87 1/2) / 100 x = 63 => x = 72 Hence 72 - 70=
<gadget id="calculator">72 - 70</gadget>
<output>2</output>
2 litre... | D | calc |
ape210k__01197841 | There is a nine-digit number, its ones digit is 7, its tens digit is 2, and the sum of any adjacent three digits of other digits is 15, what is this number? | <result>627_627_627</result> | 627_627_627 | calc |
aqua_rat__E9e1WNFnaRJ79pAy | In a certain province in France there are 19 cities. If a single road segment connects only two cities, how many road segments are required in order to connect the cities so that each city is connected to all other cities with a single road segment? Choose the most appropriate option.
A) 30
B) 105
C) 330
D) 143
E) 171 | 1 city needs 18 roads to connect directly to the rest => 19 city needs 19*18 roads. One road is counted twice => the number of road needed is 19*18/2=
<gadget id="calculator">19*18/2</gadget>
<output>171</output>
171 Answer 171
<result>E</result> | E | calc |
aqua_rat__7Z6MMO7SAo57vQMM | A wheel that has 8 cogs is meshed with a larger wheel of 14 cogs. When the smaller wheel has made 28 revolutions, then the number of revolutions mad by the larger wheel is: Choose the correct choice from the following options.
A) 15 B) 16 C) 17 D) 14 E) 20 | B 16 Let the required number of revolutions made by larger wheel be x. Then, More cogs, Less revolutions (Indirect Proportion) 14 : 8:: 28: x <-> 14 x x = 8 x 28 x = (8x 28)/14 x = 16
<result>B</result> | B | calc |
ape210k__00491285 | Two engineering teams, A and B, dig a tunnel at the same time from both ends. Team A digs 19 meters every day, and Team B digs 31 meters every day. After 110 days, the tunnel will be finished. How long is the tunnel? | <gadget id="calculator">19 + 31</gadget>
<output>50</output>
<gadget id="calculator">50 * 110</gadget>
<output>5_500</output>
<result>5_500</result> | 5_500 | calc |
ape210k__00606298 | The original price of a commodity is 165 yuan, after the price is reduced by 10%, how much is the selling price? | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 - (1/10)</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">165 * (9/10)</gadget>
<output>297/2 = around 148.5</output>
<result>297/2 = around 148.5</result> | 297/2 | calc |
ape210k__00797091 | Two relatively prime composite numbers whose sum is 19, what is their product. | <gadget id="calculator">4 * 15</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
aqua_rat__5DuNSYq0z56VdMTI | Rahul went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items? Choose the correct answer: A) 19.7 B) 19.9 C) 21 D) 21.7 E) 23 | Total cost of the items he purchased = Rs.25 Given that out of this Rs.25, 30 Paise is given as tax => Total tax incurred = 30 Paise = Rs.30/100 Let the cost of the tax free items = x Given that tax rate = 6% ∴ (25−30/100−x)6/100 = 30/100 ⇒ 6(25 −0.3 −x) = 30 ⇒ (25 − 0.3 − x) = 5 ⇒ x = 25 − 0.3 − 5 =... | A | calc |
ape210k__00187102 | A pile of coal is in the shape of a cone with a base radius of 1.5 meters and a height of 1.2 meters. What is the volume of this pile of coal in cubic meters? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1.5 ** 2</gadget>
<output>2.25</output>
<gadget id="calculator">(1/3) * 3.14 * 2.25 * 1.2</gadget>
<output>2.826</output>
<result>2.826</result> | 2.826 | calc |
ape210k__00305434 | There is a fraction whose denominator is 4 more than the numerator. If you add 9 to both the numerator and the denominator, the fraction you get will be (7/9), what is the fraction? | <gadget id="calculator">5 / 9</gadget>
<output>5/9 = around 0.555556</output>
<result>5/9 = around 0.555556</result> | 5/9 | calc |
ape210k__00245484 | (1/(1*2))+(2/(2*4))+(3/(4*7))+(4/(7*11))+(5/(11*16))+ (6/(16*22))+(7/(22*29))+(8/(29*37))=how much. | <gadget id="calculator">1 * 2</gadget>
<output>2</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">2 * 4</gadget>
<output>8</output>
<gadget id="calculator">2 / 8</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">4 * 7</gadget>
<output>28</ou... | 36/37 | calc |
ape210k__00309034 | Xiaofang has already typed 1,600 words in an article, exactly 40% of the full text, how many words are left? | <gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1_600 / (2/5)</gadget>
<output>4_000</output>
<result>4_000</result> | 4_000 | calc |
ape210k__00438337 | It takes 104 bricks to repair the flower pond, 36 bricks are moved each time, and 38 bricks are moved for the second time. How many bricks are left? (answer in two ways) | <gadget id="calculator">104 - 36 - 38</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
aqua_rat__kzVU7w6v1j9AI3Yg | In an examination, a student's average marks were 63. If he had obtained 20 more marks for his Geography and 2 more marks for his history, his average would have been 65. How many subjects were there in the examination? Options.
A) 12 B) 11 C) 13 D) 14 E) 10 | Explanation: Let the number of subjects = x Then, total marks he scored for all subjects = 63x If he had obtained 20 more marks for his Geography and 2 more marks for his history, his average would have been 65 => Total marks he would have scored for all subjects = 65x Now we can form the equation as 65x -... | B | calc |
math_qa__iUTdlkrUdoJJlpDS | In a restaurant, the profit is 140% of the cost. If the cost increases by 12% but the selling price remains constant, approximately what percentage of the selling price is the profit?
Select:
A) 30 %
B) 53 %
C) 90 %
D) 100 %
E) none of these | <gadget id="calculator">140 / 100</gadget>
<output>7/5 = around 1.4</output>
<gadget id="calculator">100 * (7/5)</gadget>
<output>140</output>
<gadget id="calculator">140 + 100</gadget>
<output>240</output>
<gadget id="calculator">12 / 100</gadget>
<output>3/25 = around 0.12</output>
<gadget id="calculator">1 + (3/... | B | calc |
math_qa__H1wuJi4bqr5K0xsJ | Find the least number which when divided by 37 and 7 leaves a remainder of 2 in each case. Answers
A) 259 B) 261 C) 263 D) 265 E) 267 | <gadget id="calculator">lcm(37, 7)</gadget>
<output>259</output>
<gadget id="calculator">2 + 259</gadget>
<output>261</output>
<result>B</result> | B | calc |
ape210k__00765961 | If x/2=15, then 200-3x=how much. | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">15 / (1/2)</gadget>
<output>30</output>
<gadget id="calculator">3 * 30</gadget>
<output>90</output>
<gadget id="calculator">200 - 90</gadget>
<output>110</output>
<result>110</result> | 110 | calc |
ape210k__00268844 | Aunt Li visited the Three Gorges and bought 6 pieces of the same tourist souvenirs, and Uncle Wang also bought 8 pieces of this kind of tourist souvenirs. Uncle Wang spent 24 yuan more than Aunt Li. How much is each souvenir? | <gadget id="calculator">8 - 6</gadget>
<output>2</output>
<gadget id="calculator">24 / 2</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
ape210k__00133277 | Draw a circle with a circumference of 15.7 meters, how many meters should be taken between the two feet of the compass. | <gadget id="calculator">2 * 3.14</gadget>
<output>6.28</output>
<gadget id="calculator">15.7 / 6.28</gadget>
<output>2.5</output>
<result>2.5</result> | 2.5 | calc |
aqua_rat__h4A08HWtQg7DkK4h | 10 camels cost as much as 24 horses, 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants. If the cost of 10 elephants is Rs.140000, find the cost of a camel? Select:
A) s.9800
B) s.3800
C) s.9800
D) s.6800
E) s.5600 | Cost of the camel = P 10 camels = 24 horses 16 horses = 4 oxen 6 oxen = 4 elephants 10 elephants = Rs.140000 P = Rs.[(24 * 4 * 4 * 140000)/(10 * 16 * 6 * 10)] P = Rs.(53760000/9600) => P = Rs.5600 Answer:s.5600
<result>E</result> | E | calc |
aqua_rat__gJnzjn7NLR3eESIi | At what price must an article costing Rs.47.50 be marked in order that after deducting 5% from the list price. It may be sold at a profit of 25% on the cost price? Choose one:
A) 62.5 B) 62.8 C) 62.1 D) 62.9 E) 32.5 | Explanation: CP = 47.50 SP = 47.50*(125/100)=
<gadget id="calculator">47.50*(125/100)</gadget>
<output>59.375</output>
59.375 MP*(95/100)= 59.375 MP = 62.5 62.5nswer: 62.5
<result>A</result> | A | calc |
aqua_rat__IU2hUdMHxnm1yBnk | The railway track length, which a train 130 metres long and travelling at 45 km/hr can cross in 30 seconds, is:
Pick:
A) 300 m
B) 245 m
C) 350 m
D) 250 m
E) 260 m | speed = (45*5/18) => 25/2 m/sec time = 30 sec length of bridge => x =>130+x/30 = 25/2 2(130+x)=750 x=245 m ANSWER 245 m
<result>B</result> | B | calc |
aqua_rat__frb7Del9zgJG3Cx0 | Two trains of length 100 meters and 200 meters are 630 meters apart. They are moving towards each other on parallel tracks, at speeds of 90 km/h and 72 km/h. After how many seconds will the trains meet? Choose the correct choice from the following answers
A) 12 B) 14 C) 16 D) 18 E) 20 | The speeds are 90000/3600=
<gadget id="calculator">90000/3600</gadget>
<output>25</output>
25 m/s and 72000/3600=
<gadget id="calculator">72000/3600</gadget>
<output>20</output>
20 m/s The relative speed is 45 m/s. time= 630 / 45=
<gadget id="calculator">630 / 45</gadget>
<output>14</output>
14 seconds The ans... | B | calc |
aqua_rat__yRE97d67zoLwDbM4 | How many W ways can Jason sit with his five friends in a row of six seats with an aisle on either side of the row, if Jason insists on sitting next to one of the aisles? Pick one.
A) 120 B) 240 C) 360 D) 540 E) 720 | Jason can select his seat in 2 Ways (two aisles) His 1st of 4 friends have 5 seats to select => His 2nd of remaining 3 friends will have 4 seat to chose from...and so on Total ways W=> 2*5*4*3*2*1 = 240.240
<result>B</result> | B | calc |
ape210k__00032164 | There are 30 girls in a class, and there are fewer boys than girls (1/5), how many boys are there? | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">30 * (4/5)</gadget>
<output>24</output>
<result>24</result> | 24 | calc |
math_qa__Ofnui3iNhLMgBhEF | Population is 21000. Population increases by 10% every year, then the population after 3 years is?
Choose one
A) 26630 B) 27951 C) 36621 D) 26621 E) 26821 | <gadget id="calculator">3 * 10</gadget>
<output>30</output>
<gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">1 + (3/10)</gadget>
<output>13/10 = around 1.3</output>
<gadget id="calculator">21_000 * (13/10)</gadget>
<output>27_300</output>
<result>B</result> | B | calc |
aqua_rat__HoZrEMEYUVSvzBS5 | A cyclist covers a distance of 750 m in 2 min 30 sec. What is the speed in km/hr of the cyclist? Pick one:
A) 9km/hr B) 7km/hr C) 12km/hr D) 15km/hr E) 18km/hr | Speed = { 750 } m/sec =5 m/sec = { 5 * 18 } km/hr =18km/hr Ans:18km/hr
<result>E</result> | E | calc |
math_qa__gUNtFiSlRYfmsv0j | The present ages of A,B & C are in the ratio of 5:7:8. 7years ago, the sum oftheir ages was 59. What is the present age of eldest one? Choices:
A) 30
B) 31
C) 32
D) 35
E) 36 | <gadget id="calculator">7 * 3</gadget>
<output>21</output>
<gadget id="calculator">21 + 59</gadget>
<output>80</output>
<gadget id="calculator">5 + 7</gadget>
<output>12</output>
<gadget id="calculator">12 + 8</gadget>
<output>20</output>
<gadget id="calculator">80 / 20</gadget>
<output>4</output>
<gadget id="calc... | C | calc |
math_qa__s4gnMLRMTVn5sVEM | In a maths test, students were asked to find 5/16 of a certain number. One of the students by mistake found 5/6th of that number and his answer was 300 more than the correct answer. Find the number. Choose the correct choice
A) 125
B) 280
C) 384
D) 400
E) 576 | <gadget id="calculator">300 * 16</gadget>
<output>4_800</output>
<gadget id="calculator">4_800 * 6</gadget>
<output>28_800</output>
<gadget id="calculator">5 * 16</gadget>
<output>80</output>
<gadget id="calculator">5 * 6</gadget>
<output>30</output>
<gadget id="calculator">80 - 30</gadget>
<output>50</output>
<ga... | E | calc |
ape210k__00290893 | Mother saved 20,000 yuan for Li Li's five-year education savings, and the annual tax rate is 5.22%. After maturity, how much can you get the principal and interest from the bank? (Interest earned on education savings is not taxable) | <gadget id="calculator">5.22 / 100</gadget>
<output>0.0522</output>
<gadget id="calculator">20_000 * 0.0522 * 5</gadget>
<output>5_220</output>
<gadget id="calculator">20_000 + 5_220</gadget>
<output>25_220</output>
<result>25_220</result> | 25_220 | calc |
ape210k__01200405 | rectangular playground is 13 meters wide, and the length is 5 meters longer than the width. Xiao Fang ran 4 laps along the sideline of the playground. How many meters did he run? | <gadget id="calculator">13 + 5</gadget>
<output>18</output>
<gadget id="calculator">18 + 13</gadget>
<output>31</output>
<gadget id="calculator">31 * 2 * 4</gadget>
<output>248</output>
<result>248</result> | 248 | calc |
ape210k__00230501 | If both multipliers are tripled at the same time, how many times will the product be enlarged? | <gadget id="calculator">3 * 3</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
ape210k__00584167 | Weld a conical container with a fan-shaped iron sheet with an arc length of 3.14dm. Its volume is 15.7dm**3. What is the height of this conical container in dm? | <gadget id="calculator">3.14 / 3.14 / 2</gadget>
<output>0.5</output>
<gadget id="calculator">0.5 ** 2</gadget>
<output>0.25</output>
<gadget id="calculator">3.14 * 0.25</gadget>
<output>0.785</output>
<gadget id="calculator">3 / 0.785</gadget>
<output>3.821656</output>
<gadget id="calculator">15.7 * 3.821656</gadg... | 59.999999 | calc |
aqua_rat__wc187ATi4C1Ibe2o | The numerator of a certain fraction is 8 less than the denominator. If 3 is added to the numerator and 3 is subtracted from the denominator, the fraction becomes 3/4. Find the original fraction? Choose the correct choice from the following
A) 24.5
B) 28.5
C) 30
D) Data inadequate
E) None of these | Explanation: Let C.P. be Rs. 100. Then, S.P. = Rs. 123.50 Let marked price be Rs. x. Then, 95/100 x = 123.50 x = 12350/95 = Rs. 130 Now, S.P. = Rs. 130, C.P. = Rs. 100 Profit % = 30%. Answer: Option 30
<result>C</result> | C | calc |
ape210k__00528513 | A clothing store sells a certain kind of clothing, which can only be sold if it is known that the selling price is more than 20% higher than the purchase price. In order to obtain higher profits, the owner of the store marked the price 80% higher than the purchase price. If you want to buy this kind of clothing with a ... | <gadget id="calculator">80 / 100</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">360 / (9/5)</gadget>
<output>200</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculato... | 120 | calc |
ape210k__00154249 | pool has an inlet pipe that continuously feeds water, and there are several identical suction pipes. If 24 water pipes are used to pump water, the water in the pool can be drained in 6 hours; if 21 water pipes are used to pump water, the water in the pool can be drained in 8 hours. If 16 pumping pipes are used, how man... | <gadget id="calculator">21 * 8</gadget>
<output>168</output>
<gadget id="calculator">24 * 6</gadget>
<output>144</output>
<gadget id="calculator">168 - 144</gadget>
<output>24</output>
<gadget id="calculator">8 - 6</gadget>
<output>2</output>
<gadget id="calculator">24 / 2</gadget>
<output>12</output>
<gadget id="... | 18 | calc |
aqua_rat__HKBGEvwxORTgRJBt | Two tests had the same maximum mark. The pass percentages in the first and the second test were 40% and 45% respectively. A candidate scored 240 marks in the second test and failed by 57 marks in that test. Find the pass mark in the first test? Choose the correct choice:
A) 768
B) 243
C) 246
D) 264
E) 224 | Let the maximum mark in each test be M. The candidate failed by 57 marks in the second test. pass mark in the second test = 240 + 57=
<gadget id="calculator">240 + 57</gadget>
<output>297</output>
297 45/100 M= 297 Pass mark in the first test = 40/100 M = 40/45 * 297=
<gadget id="calculator">40/45 * 297</gadg... | D | calc |
ape210k__00112567 | If a piece of (4/5) meter long wood is sawn into (2/15) meter long pieces, how many pieces can be sawn into? | <gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">2 / 15</gadget>
<output>2/15 = around 0.133333</output>
<gadget id="calculator">(4/5) / (2/15)</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
aqua_rat__d2jUtRB6911fFxpL | Excluding stoppages, the speed of a bus is 86 kmph and including stoppages, it is 76 kmph. For how many minutes does the bus stop per hour?
Pick one.
A) 7.5 min B) 16 min C) 20 min D) 7 min E) 40 min | D 7 min Due to stoppages, it covers 10 km less. Time taken to cover 10 km = (10/86 x 60) min = 7 min
<result>D</result> | D | calc |
ape210k__00078799 | There are 18 cabbages, and each 6 cabbage is packed in a basket. How many cabbage baskets are needed? | <gadget id="calculator">18 / 6</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
aqua_rat__5iiPGZB2VBJorb1G | FOG + FOG + FOG + FOG = 1444.
If F,O and G are digits in a three-digit number in the preceding equation the F + O + G = ? Choose the correct choice from the following choices: A) 11 B) 12 C) 13 D) 10 E) 15 | given,FOG + FOG + FOG + FOG = 1444 4(FOG)=1444 =>FOG=361 Face value of F is:3 Face value of O is:6 Face value of G is:1 so F+O+G=3+6+4=10 ANSWER:10
<result>D</result> | D | calc |
aqua_rat__lUmXMs6PsOyL9C2T | If d is a positive even integer, and n and m are consecutive integers, then (n - m)^d/(m - n)d =
Choose the correct choice from the following answers
A) -2 B) -1 C) 0 D) 1 E) 2 | d= +ve even integer Since,n and m are consecutive integers , their difference will be 1 ((n-m)^d)/((m-n)d)= ((n-m)/(m-n))^d = (-1)^d Since we are raising the difference of n and m to power d , which is even , the answer will be 1 . Answer 1
<result>D</result> | D | calc |
ape210k__00783437 | A circular runway is 400 meters long. If a warning sign is erected every 10 meters, how many warning signs are needed? | <gadget id="calculator">400 / 10</gadget>
<output>40</output>
<result>40</result> | 40 | calc |
ape210k__00615795 | (1/5) of a number is 32, what is its (2/7). | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">32 / (1/5)</gadget>
<output>160</output>
<gadget id="calculator">2 / 7</gadget>
<output>2/7 = around 0.285714</output>
<gadget id="calculator">160 * (2/7)</gadget>
<output>320/7 = around 45.714286</output>
<result>320/7... | 320/7 | calc |
ape210k__00695035 | Xiao Le is 7 years old this year, and Xiao Le's uncle is 42 years old this year. How many times older is Xiao Le? | <gadget id="calculator">42 / 7</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__00318644 | On average, Guangming Restaurant delivers food 3 times a day, and charges 2 yuan each time. Based on this calculation, how much food delivery fee did Guangming Restaurant earn in February this year? | <gadget id="calculator">3 * 2 * 28</gadget>
<output>168</output>
<result>168</result> | 168 | calc |
gsm8k__6QrX9rY0cbCL9ahB | Sandy earns $15 per hour. She worked 10 hours on Friday with her best friend, 6 hours on Saturday alone and 14 hours on Sunday with her other co-workers. How much money did Sandy earn in all on Friday, Saturday and Sunday? | The total number of hours Sandy worked on Friday, Saturday and Sunday was 10 + 6 + 14 =
<gadget id="calculator">10+6+14</gadget>
<output>30</output>
30 hours.
Beth made 30 * $15 = $
<gadget id="calculator">30*15</gadget>
<output>450</output>
450 in those 3 days.
<result>450</result> | 450 | calc |
ape210k__00187895 | A wire is (7/8) meters long, if (1/2) meter is used up, how many meters are left? How many columns | <gadget id="calculator">7 / 8</gadget>
<output>7/8 = around 0.875</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(7/8) - (1/2)</gadget>
<output>3/8 = around 0.375</output>
<result>3/8 = around 0.375</result> | 3/8 | calc |
aqua_rat__nW8jRvxDz1FJKivF | The average age of 15 students of a class is 15 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. The age of the 15th student is? Choose the correct answer:
A) 9 B) 11 C) 15 D) 12 E) 20 | Age of the 15th student = 15*15 - (14*5+16*9) = 225-214=
<gadget id="calculator">225-214</gadget>
<output>11</output>
11 years Answer is 11
<result>B</result> | B | calc |
ape210k__00616789 | It takes 20 minutes for a woodworker to saw a log into 5 pieces. According to this calculation, how many minutes will it take to saw this log into 8 sections? (Solve with ratio) | <gadget id="calculator">20 * 8</gadget>
<output>160</output>
<gadget id="calculator">160 - 20</gadget>
<output>140</output>
<gadget id="calculator">5 - 1</gadget>
<output>4</output>
<gadget id="calculator">140 / 4</gadget>
<output>35</output>
<result>35</result> | 35 | calc |
ape210k__00283766 | The surface area of a cube is 24 square decimeters, if it is divided into two identical cuboids, what is the surface area of each cuboid? | <gadget id="calculator">24 / 2</gadget>
<output>12</output>
<gadget id="calculator">24 / 6</gadget>
<output>4</output>
<gadget id="calculator">12 + 4</gadget>
<output>16</output>
<result>16</result> | 16 | calc |
ape210k__00346882 | When Xiao Ming reads a book, he has already read (3/5) of the whole book, and he has not read 24 pages. How many pages has Xiao Ming read? | <gadget id="calculator">3 / 5</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">24 / (2/5)</gadget>
<output>60</output>
<gadget id="calculator">60 - 24</gadget>
<output>36</output>
<result>36</result> | 36 | calc |
ape210k__00360699 | A book has 200 pages. Xiaojun reads (2/5) of the whole book on the first day and (1/4) of the whole book on the second day. What page should he read from on the third day? | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">200 * (2/5)</gadget>
<output>80</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">200 * (1/4)</gadget>
<output>50</output>
<gadget id="calculator">80 + 50 + 1</ga... | 131 | calc |
ape210k__00554657 | If a 4m long log is cut into three small logs, the surface area increases by 12dm**2, what is the original volume of this log in cubic decimeters? | <gadget id="calculator">12 / 4</gadget>
<output>3</output>
<gadget id="calculator">4 * 10</gadget>
<output>40</output>
<gadget id="calculator">3 * 40</gadget>
<output>120</output>
<result>120</result> | 120 | calc |
aqua_rat__lzQbFVIUNRtWvYKc | A small water pump would take 4 hours to fill an empty tank. A larger pump would take 1/2 hour to fill the same tank. How many hours would it take both pumps, working at their respective constant rates, to fill the empty tank if they began pumping at the same time? Select the correct option: A) 1/6 B) 4/9 C) 1/4 D) 5/9... | Rate of the small pump is 1/4 tank/hour Rate of the larger pump is 1/(1/2) or 2 tank/hour; Combined rate of the two pumps is 1/4+2=9/4 tank/hour, together they will fill the empty tank in 1/(9/4)) = 4/9 hours (time=job/rate). Answer: 4/9
<result>B</result> | B | calc |
math_qa__WY3eZeZJGPU7ArKx | 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. 32.49, the number of the member is the group is: Options: A) 57 B) 67 C) 77 D) 87 E) 97 | <gadget id="calculator">32.49 * 100</gadget>
<output>3_249</output>
<gadget id="calculator">3_249 ** (1/2)</gadget>
<output>57</output>
<result>A</result> | A | calc |
ape210k__00942683 | Two cars, A and B, drive from two places at the same time. Car A travels 90 kilometers per hour, and car B travels 80 kilometers per hour. After 6 hours, the two cars meet. How many kilometers are there between A and B? | <gadget id="calculator">90 + 80</gadget>
<output>170</output>
<gadget id="calculator">170 * 6</gadget>
<output>1_020</output>
<result>1_020</result> | 1_020 | calc |
ape210k__00186834 | Cut a circular piece of paper with a radius of 4 cm to form 4 equal cone sides, what is the circumference of the base of each cone in cm? | <gadget id="calculator">4 / 4</gadget>
<output>1</output>
<gadget id="calculator">2 * 3.14 * 1</gadget>
<output>6.28</output>
<result>6.28</result> | 6.28 | calc |
ape210k__01200389 | If the side length of a square is 8 decimeters, what is its perimeter? | <gadget id="calculator">8 * 4</gadget>
<output>32</output>
<result>32</result> | 32 | calc |
ape210k__00023490 | A basket of apples weighs 35 kilograms in total. Give half of it to the kindergarten children, and give the remaining half to the first-grade children. The rest of the apples in the basket weigh 11 kilograms. How much does this basket of apples weigh? | <gadget id="calculator">35 - 11</gadget>
<output>24</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) * (1/2)</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/2) + (1/4)</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calcul... | 32 | calc |
mawps__iX1oxFrJLs5CNatf | Annie had 10 Doll. Eileen granted him some more. Now Annie has 148 Doll. How many did Eileen grant him? | <gadget id="calculator">148 - 10</gadget>
<output>138</output>
<result>138</result> | 138 | calc |
ape210k__00674893 | If the side length of a cube is 5 cm, if the side length is increased by 3 times, how many times will its surface area be increased | <gadget id="calculator">3 * 3</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
math_qa__EtTGsXN04F4tTcJg | A certain bus driver is paid a regular rate of $16 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $1200 in total compensation... | <gadget id="calculator">16 * 40</gadget>
<output>640</output>
<gadget id="calculator">1_200 - 640</gadget>
<output>560</output>
<gadget id="calculator">100 + 75</gadget>
<output>175</output>
<gadget id="calculator">16 * 175</gadget>
<output>2_800</output>
<gadget id="calculator">2_800 / 100</gadget>
<output>28</out... | A | calc |
gsm8k__dgpNcnqXxKxnnG21 | Three baskets A, B and C contain different numbers of differently colored marbles. Basket A contains 4 red marbles and 2 yellow marbles. Basket B contains 6 green marbles and 1 yellow marble. Basket C contains 3 white marbles and 9 yellow marbles. What is the difference between the number of each color of marble in the... | In basket A the number difference between differently colored marbles is 4-2 =
<gadget id="calculator">4-2</gadget>
<output>2</output>
2.
In basket B the difference is 6-1 =
<gadget id="calculator">6-1</gadget>
<output>5</output>
5.
In basket C the difference is 9-3 =
<gadget id="calculator">9-3</gadget>
<output>6</... | 6 | calc |
aqua_rat__GO4kp1IRTIT2Uj3C | David bought 4 pens with the average cost of $2. If David also buys the fifth pen with the price of $ 3, what is the average (arithmetic mean) price of those 5 pens? Choices
A) $2.2 B) $2 C) $3.2 D) $4 E) $5.2 | 4 pens -> Total cost = 4 * Avg cost = 4*2=
<gadget id="calculator">4*2</gadget>
<output>8</output>
8 Fifth pen cost= 3 Total cost for 5 pens= 8+3=
<gadget id="calculator">8+3</gadget>
<output>11</output>
11 AM= 11/5=
<gadget id="calculator">11/5</gadget>
<output>11/5 = around 2.2</output>
2.2 Hence $2
<re... | B | calc |
aqua_rat__4lWM6zg4DEGOcyZR | Two pipes P and Q can fill a cistern in 10 and 15 minutes respectively. Both are opened together, but at the end of 4 minutes the first is turned off. How many more minutes will it take for the cistern to fill after the first pipe is turned off? Choose the correct answer.
A) 3.5 B) 4 C) 4.5 D) 5 E) 5.5 | Let x be the total time it takes for the cistern to fill. 4/10 + x/15 = 1 x/15 = 3/5 x = 9 After the first pipe is turned off, it takes 5 more minutes to fill the cistern. The answer is 5.
<result>D</result> | D | calc |
ape210k__00248064 | How many seconds does the second hand go from number 2 to 5? | <gadget id="calculator">5 * 3</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
aqua_rat__Ucim5j0RTlwZDATv | What is the simplified result of following the steps below in order?
(1) add 5y to 2v
(2) multiply the sum by 3
(3) subtract v + y from the product Choose the correct option.
A) 5v + 14y B) 5x + 16y C) 5x + 5y D) 6x + 4y E) 3x + 12y | 3(5Y+2V) -V-Y= 14Y+5V '5v + 14y' is the answer
<result>A</result> | A | calc |
aqua_rat__L30UvJO5geQImfBG | A bag contains 6 black and 4 white balls. One ball is drawn at random. What is the probability that the ball drawn is white? Choose the most appropriate option: A) 3/4 B) 2/5 C) 1/7 D) 1/8 E) 4/3 | Let number of balls = (6 + 4)=
<gadget id="calculator">(6 + 4)</gadget>
<output>10</output>
10. Number of white balls= 4. P (drawing a white ball) =4/10=2/5. Option 2/5.
<result>B</result> | B | calc |
ape210k__00660491 | The diameter of a circle is 5 meters, what is the circumference of the semicircle? | <gadget id="calculator">5 / 2</gadget>
<output>5/2 = around 2.5</output>
<gadget id="calculator">3.14 * (5/2)</gadget>
<output>7.85</output>
<gadget id="calculator">7.85 + 5</gadget>
<output>12.85</output>
<result>12.85</result> | 12.85 | calc |
ape210k__00584993 | (4/5) of a certain number is 28, what is this number? | <gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">28 / (4/5)</gadget>
<output>35</output>
<result>35</result> | 35 | calc |
ape210k__01223217 | There are 280 kilograms of apples in the store, 132 kilograms are sold in the morning, and 145 kilograms are bought in the afternoon, how many kilograms of apples are there in the store at this time? | <gadget id="calculator">280 - 132</gadget>
<output>148</output>
<gadget id="calculator">148 + 145</gadget>
<output>293</output>
<result>293</result> | 293 | calc |
aqua_rat__vNwL9RrNicuie8SW | A car takes 12 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/4th of the previous time?
Choose the correct choice from the following.
A) 25Kmph
B) 60Kmph
C) 100Kmph
D) 120Kmph
E) 180Kmph | Time = 12 Distence = 540 3/4 of 12 hours = 12 * 3/4=
<gadget id="calculator">12 * 3/4</gadget>
<output>9</output>
9 Hours Required speed= 540/9=
<gadget id="calculator">540/9</gadget>
<output>60</output>
60 Kmph 60Kmph)
<result>B</result> | B | calc |
aqua_rat__Pe9IHX3wudFqNRps | The average of a couple was 28Yrs when they were married 15Yrs ago.The avg age of
the couple and a child, who was born during the interval, is 31Yrs now. How old is the
child now ? Select the correct option:
A) 2 Yrs B) 7 Yrs C) 3 Yrs D) 1 Yrs E) None of these | (a+b-15-15)/2=28; a+b=86; a+b+c/3=31; solving both c=7 ANSWER:7 Yrs
<result>B</result> | B | calc |
ape210k__00954731 | Dad bought 72 meters of rope, and first cut 8 meters to make 5 short ropes. According to this calculation, how many short ropes can be made from the bought rope? | <gadget id="calculator">8 / 5</gadget>
<output>8/5 = around 1.6</output>
<gadget id="calculator">72 / (8/5)</gadget>
<output>45</output>
<result>45</result> | 45 | calc |
ape210k__00610087 | What is the volume of a cube folded from a 96 cm wire? | <gadget id="calculator">96 / 12</gadget>
<output>8</output>
<gadget id="calculator">8 * 8 * 8</gadget>
<output>512</output>
<result>512</result> | 512 | calc |
ape210k__00889849 | A cuboid steel plate with a length of 47.1m, a width of 20m and a height of 10m is cast into a cylindrical steel column with a bottom diameter of 20m. How high is the cylindrical steel column? | <gadget id="calculator">20 / 2</gadget>
<output>10</output>
<gadget id="calculator">10 ** 2</gadget>
<output>100</output>
<gadget id="calculator">3.14 * 100</gadget>
<output>314</output>
<gadget id="calculator">10 / 314</gadget>
<output>5/157 = around 0.031847</output>
<gadget id="calculator">47.1 * 20 * (5/157)</g... | 30 | calc |
math_qa__tEr8ad3K21OIs5E3 | If X is invested in a bank at a rate of simple interest of y% p.a. for two years, then the interest earned is 400. if X is invested at y% p.a., for two years when the interest is compounded annually, the interest is 410. What is the value of X? Choose the correct choice:
A) 8000 B) 6000 C) 5000 D) 4000 E) 3000 | <gadget id="calculator">400 / 2</gadget>
<output>200</output>
<gadget id="calculator">200 ** 2</gadget>
<output>40_000</output>
<gadget id="calculator">410 - 400</gadget>
<output>10</output>
<gadget id="calculator">40_000 / 10</gadget>
<output>4_000</output>
<result>D</result> | D | calc |
ape210k__00834285 | 4 tractors can cultivate 46.8 hectares of land in 6.5 hours, how many hectares of land can be cultivated per tractor per hour on average? | <gadget id="calculator">46.8 / 4 / 6.5</gadget>
<output>1.8</output>
<result>1.8</result> | 1.8 | calc |
ape210k__00162828 | There are 2 roads from A to B, 3 roads from B to C, and 3 roads from C to D. Now Xiaoming wants to go from A to D through B and C. How many different ways to go. | <gadget id="calculator">2 * 3 * 3</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
aqua_rat__ylif6K24WSWAvEDz | 45 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work? Select the correct option:
A) 10
B) 13
C) 14
D) 15
E) 16 | According to the chain rule, M1 x T1 = M2 x T2 Therefore, 45 x 12 x 5 = 30 x 6 x X X = 15 Hence, the number of days = 15. ANSWER:15
<result>D</result> | D | calc |
ape210k__00865129 | Xiao Wang planted 200 saplings, but 4 died. What is the survival rate of these saplings? | <gadget id="calculator">200 - 4</gadget>
<output>196</output>
<gadget id="calculator">196 / 200</gadget>
<output>49/50 = around 0.98</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(49/50) * 1</gadget>
<output>49/50 = around 0.98</output>
<result>49/50 = around 0.98</r... | 49/50 | calc |
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