id
stringlengths
17
26
question
stringlengths
7
712
chain
stringlengths
18
2.56k
result
stringlengths
1
19
source
stringclasses
1 value
math_qa__VyjOQpds6zWjUniz
A couple who own an appliance store discover that if they advertise a sales discount of 10% on every item in the store, at the end of one month the number of total items sold increases 30%. Their gross income from sales for one month increases by what percent? Choose the correct choice A) 9 % B) 11 % C) 13 % D) 15 % E)...
<gadget id="calculator">30 - 10</gadget> <output>20</output> <gadget id="calculator">30 / 10</gadget> <output>3</output> <gadget id="calculator">20 - 3</gadget> <output>17</output> <result>E</result>
E
calc
ape210k__00037626
Mom bought 1.5 kilograms of hairtail, paid 12 yuan, and got back 1.95 yuan. How much is the average hairtail per kilogram?
<gadget id="calculator">12 - 1.95</gadget> <output>10.05</output> <gadget id="calculator">10.05 / 1.5</gadget> <output>6.7</output> <result>6.7</result>
6.7
calc
ape210k__00095312
1949*((1/43)-(1/1992))+43*((1/1949)-(1/1992))-1992*((1/1949)+(1/43))+103.
<gadget id="calculator">1 / 43</gadget> <output>1/43 = around 0.023256</output> <gadget id="calculator">1 / 1_992</gadget> <output>1/1_992 = around 0.000502</output> <gadget id="calculator">(1/43) - (1/1_992)</gadget> <output>1_949/85_656 = around 0.022754</output> <gadget id="calculator">1_949 * (1_949/85_656)</gad...
100
calc
aqua_rat__bpZK48O1CYoPubd0
Indu gave Bindu Rs.2500 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 2% per annum simple interest? Choose the most appropriate option: A) 1 B) 2 C) 3 D) 4 E) 5
2500 = D(100/2)2 D = 1 1nswer: 1 <result>A</result>
A
calc
ape210k__00524581
If an irregular stone is completely immersed in a cuboid water tank with a bottom area of 250 square centimeters, the water level will rise by 3.2 centimeters. What is the volume of this rock in cubic centimeters?
<gadget id="calculator">250 * 3.2</gadget> <output>800</output> <result>800</result>
800
calc
aqua_rat__bQ9mEW489Uia3lAm
A can do a piece of work in 4 days. B can do it in 8 days. With the assistance of C they completed the work in 2 days. Find in how many days can C alone do it? Choose the correct choice from the following options A) 87 days B) 20 days C) 8 days D) 19 days E) 36 days
8 days = 1/2 - 1/4 - 1/8 = 1/8 =&gt; 8 days Answer:8 days <result>C</result>
C
calc
ape210k__00749819
After a rectangle with a length of 8 cm and a width of 6 cm is enlarged at a ratio of 3:1, what is the area of the figure obtained in square centimeters?
<gadget id="calculator">3 * 8</gadget> <output>24</output> <gadget id="calculator">3 * 6</gadget> <output>18</output> <gadget id="calculator">24 * 18</gadget> <output>432</output> <result>432</result>
432
calc
aqua_rat__vcSWN5oyucsHK9r3
In a partnership between Rose, Ben and Christine, Rose's capital is Rs.12000. If her share of a profit of Rs.6000 is Rs.3000 and Christine's share is Rs.1250, what is Ben's capital? Choose the correct option A) 6200 B) 5200 C) 4500 D) 6240 E) 1223
3000 + 1250 = 330 6000 - 4250 = 1550 3000 ---- 12000 1550---- ? =&gt; 6200 6200NSWER:6200 <result>A</result>
A
calc
ape210k__00374232
There are 35 boys and 15 girls in the third grade. How many girls account for the whole class?
<gadget id="calculator">35 + 15</gadget> <output>50</output> <gadget id="calculator">15 / 50</gadget> <output>3/10 = around 0.3</output> <result>3/10 = around 0.3</result>
3/10
calc
ape210k__00111211
A self-employed businessman sells two coats at the same time in one transaction, each of which is sold at 135 yuan. If calculated according to the cost, one of them makes a profit of 25% and the other one loses 25%. How much does the self-employed person lose in this transaction?
<gadget id="calculator">25 / 100</gadget> <output>1/4 = around 0.25</output> <gadget id="calculator">1 - (1/4)</gadget> <output>3/4 = around 0.75</output> <gadget id="calculator">135 / (3/4)</gadget> <output>180</output> <gadget id="calculator">180 - 135</gadget> <output>45</output> <gadget id="calculator">1 + (1/4...
18
calc
ape210k__00907337
A rope is cut off 8 meters for the first time, and the rest (3/5) is cut off for the second time. The total length of the two cuts is 14 meters. How many meters was it originally?
<gadget id="calculator">14 - 8</gadget> <output>6</output> <gadget id="calculator">3 / 5</gadget> <output>3/5 = around 0.6</output> <gadget id="calculator">6 / (3/5)</gadget> <output>10</output> <gadget id="calculator">10 + 8</gadget> <output>18</output> <result>18</result>
18
calc
aqua_rat__eLKpGxMpXTVYIToE
A man bought an article and sold it at a gain of 5 %. If he had bought it at 5% less and sold it for Re 3 less, he would have made a profit of 10%. The C.P. of the article was Choose the correct choice from the following answers: A) 344 B) 218 C) 200 D) 600 E) 211
Explanation: Let original Cost price is x Its Selling price = (105/100) * x = 21x/20 New Cost price = (95/100) * x = 19x/20 New Selling price = (110/100 )* (19x/20 )= 209x/200 [(21x/20) - (209x/200)] = 3 =&gt; x = 600 Answer: 600) Rs 600 <result>D</result>
D
calc
ape210k__00495240
In the fifth grade of a certain school, a mathematics competition was held, with a total of 20 questions. It was stipulated that 5 points were awarded for correct answers, and 1 point was deducted for wrong answers or no answers. Wang Fang scored a total of 76 points. How many questions did she get right?
<gadget id="calculator">20 * 5</gadget> <output>100</output> <gadget id="calculator">100 - 76</gadget> <output>24</output> <gadget id="calculator">5 + 1</gadget> <output>6</output> <gadget id="calculator">24 / 6</gadget> <output>4</output> <gadget id="calculator">20 - 4</gadget> <output>16</output> <result>16</res...
16
calc
aqua_rat__49m2RgZoSBKDOpkL
Of the three-digit integers greater than 400, how many have two digits that are equal to each other and the remaining digit different from the other two? Choose the correct choice. A) 90 B) 82 C) 80 D) 45 E) 36
To satify the given condition, required no. of cases = total numbers - numbers with all digits different - numbers when all three digits are same, number greater than 700; total numbers = 1*10*10= <gadget id="calculator">1*10*10</gadget> <output>100</output> 100 numbers with all digits different= 1*9*8= <gadg...
E
calc
aqua_rat__wEd6Ro3l1aAKVPyC
If the cost price of 12 articles is same as the selling price of 25 articles. Find the gain or loss percentage? Choose the correct choice from the following answers: A) 30% Gain B) 30% Loss C) 40% Gain D) 40% Loss E) 52% Loss
52% Lossxplanation: 12 cp = 25 sp Cost price CP = 25 Selling price SP = 12 Formula = (SP-CP)/CP * 100 = (12 - 25)/25 * 100 = 52 % Loss Answer: Option 52% Loss <result>E</result>
E
calc
ape210k__00538213
The lateral expansion of a cone is a sector with a radius of 12 cm and a central angle of 90 degrees. What is the area of its base in square centimeters?
<gadget id="calculator">3 ** 2</gadget> <output>9</output> <gadget id="calculator">3.14 * 9</gadget> <output>28.26</output> <result>28.26</result>
28.26
calc
ape210k__00123396
A (9/10) meter piece of wood is sawed into several sections of equal length, and sawed twice in total, how many meters is the average length of each section?
<gadget id="calculator">9 / 10</gadget> <output>9/10 = around 0.9</output> <gadget id="calculator">2 + 1</gadget> <output>3</output> <gadget id="calculator">(9/10) / 3</gadget> <output>3/10 = around 0.3</output> <result>3/10 = around 0.3</result>
3/10
calc
aqua_rat__MupbKDmti6UtcRz8
A can do a piece of work in 25 days and B in 20 days. They began the work together but 5 days before the completion of the work, A leaves. The work was completed in? Choose the most appropriate option A) 19 1/3 days B) 10 1/3 days C) 13 1/3 days D) 15 1/3 days E) 13 2/3 days
(x – 5)/25 + x/20 = 1 x = 13 1/3 days ANSWER:13 1/3 days <result>C</result>
C
calc
ape210k__00513080
In Xinghua Elementary School, the music group accounted for 2/35 of the extracurricular interest group, the art group accounted for 2/7, and the instrumental music group was equal to the sum of the two groups. What percentage of the total number of people are in the instrumental music group?
<gadget id="calculator">2 / 35</gadget> <output>2/35 = around 0.057143</output> <gadget id="calculator">2 / 7</gadget> <output>2/7 = around 0.285714</output> <gadget id="calculator">(2/35) + (2/7)</gadget> <output>12/35 = around 0.342857</output> <result>12/35 = around 0.342857</result>
12/35
calc
ape210k__00112117
There are two kinds of figures △ and □, △ accounts for (1/6) of the total, and then put 3 △, △ accounts for (1/3) of the total, how many original △.
<gadget id="calculator">1 / 3</gadget> <output>1/3 = around 0.333333</output> <gadget id="calculator">3 * (1/3)</gadget> <output>1</output> <gadget id="calculator">3 - 1</gadget> <output>2</output> <gadget id="calculator">1 / 6</gadget> <output>1/6 = around 0.166667</output> <gadget id="calculator">(1/3) - (1/6)</g...
2
calc
aqua_rat__rzcXtqpiRLYS6vUD
A man sold 20 articles for $60 and gained 20%. How many articles should he sell for $40 to incur a loss 20%? Choose the correct answer: A) 20 B) 36 C) 40 D) 50 E) 48
Production cost per article: $60*(100%-20%) / 20 = $2.40 Required production costs for a loss of 20%: $40*(100% + 20%) = $48 Number of articles to be sold for $48 to incur a 20% loss: $48 / $2.40 = 20 Thus, solution 20 is correct.48 / 2.40= <gadget id="calculator">48 / 2.40</gadget> <output>20</output> 20 Th...
A
calc
ape210k__00233359
How many days are there in the first quarter of 2088?
<gadget id="calculator">31 * 2</gadget> <output>62</output> <gadget id="calculator">62 + 29</gadget> <output>91</output> <result>91</result>
91
calc
aqua_rat__jwPzMDxVBBDABtUD
In a rectangular axis system, what is the area of a parallelogram with the coordinates: (3,5), (9,5), (2,7), (8,7) ? Choose one: A) 21. B) 28. C) 35. D) 12. E) 52.
12.elta x will give us the dimension of one side of the parallelogram = 9-3= <gadget id="calculator">9-3</gadget> <output>6</output> 6 unit 12.elta y will give us the dimension of the other side of parallelogram= 7-5= <gadget id="calculator">7-5</gadget> <output>2</output> 2 unit Area of parallelogram= 6*2= <gad...
D
calc
ape210k__00939105
Dashang Group is running a discount promotion, with 40% off clothing and 20% off stationery. Naughty wants to buy a piece of clothing with an original price of 450 yuan and a schoolbag with an original price of 210 yuan. How much do you actually have to pay?
<gadget id="calculator">60 / 100</gadget> <output>3/5 = around 0.6</output> <gadget id="calculator">450 * (3/5)</gadget> <output>270</output> <gadget id="calculator">80 / 100</gadget> <output>4/5 = around 0.8</output> <gadget id="calculator">210 * (4/5)</gadget> <output>168</output> <gadget id="calculator">270 + 16...
438
calc
ape210k__00033965
Yingying has four kinds of stamps with denominations of 1, 2, 5, and 10 yuan. One day she sent 12 letters. The amount of stamps on each letter was different, and the number of stamps on each letter should be as few as possible. A total of 80 yuan stamps were posted, how many stamps did she post in total?
<gadget id="calculator">2 * 5</gadget> <output>10</output> <gadget id="calculator">3 * 3</gadget> <output>9</output> <gadget id="calculator">4 + 10 + 9</gadget> <output>23</output> <result>23</result>
23
calc
ape210k__00527525
A bag of milk weighs 200 grams, how many bags of milk weighs 1 kg.
<gadget id="calculator">1_000 / 200</gadget> <output>5</output> <gadget id="calculator">1 * 5</gadget> <output>5</output> <result>5</result>
5
calc
ape210k__00034464
When Xiaogang calculated 226*□, he used the multiplication sign as the division sign, and the result was 256. What is the correct result?
<gadget id="calculator">226 / 256</gadget> <output>113/128 = around 0.882812</output> <gadget id="calculator">226 * (113/128)</gadget> <output>12_769/64 = around 199.515625</output> <result>12_769/64 = around 199.515625</result>
12_769/64
calc
ape210k__00241223
△△▲▲△▲△△▲▲△▲△△…Arrange 60 triangles according to this arrangement, how many white ones are there?
<gadget id="calculator">60 / 6</gadget> <output>10</output> <gadget id="calculator">10 * 3</gadget> <output>30</output> <result>30</result>
30
calc
ape210k__00027225
Xiao Ming rides on the back of an ox to drive the ox across the river. There are four oxen A, B, C, and D in total. It takes 1 minute for A ox to cross the river, 2 minutes for B ox, 5 minutes for C ox, and 6 minutes for D ox. You can only ride one cow at a time. Cow, drive a cow across the river, please help Xiao Ming...
<gadget id="calculator">2 + 1</gadget> <output>3</output> <gadget id="calculator">6 + 2</gadget> <output>8</output> <gadget id="calculator">3 + 8 + 2</gadget> <output>13</output> <result>13</result>
13
calc
ape210k__00089802
The shape of the runway is a rectangle in the middle and semicircles on both sides. The side length of the rectangle is 9 cm. Find the perimeter of the runway.
<gadget id="calculator">3.14 * 9</gadget> <output>28.26</output> <gadget id="calculator">9 * 2</gadget> <output>18</output> <gadget id="calculator">28.26 + 18</gadget> <output>46.26</output> <result>46.26</result>
46.26
calc
math_qa__1IG1G3R89ZrodI0t
A pipe takes a hours to fill the tank. But because of a leakage it took 7 times of its original time. Find the time taken by the leakage to empty the tank Choose the correct answer A) 50 min B) 60 min C) 90 min D) 80 min E) 70 min
<gadget id="calculator">1 * 7</gadget> <output>7</output> <gadget id="calculator">10 * 7</gadget> <output>70</output> <result>E</result>
E
calc
ape210k__00165745
A project is completed in 24 days by teams A and B. It is known that A’s work efficiency is 75% of that of B. How many days will it take if team A works alone on this project?
<gadget id="calculator">1 / 24</gadget> <output>1/24 = around 0.041667</output> <gadget id="calculator">3 + 4</gadget> <output>7</output> <gadget id="calculator">3 / 7</gadget> <output>3/7 = around 0.428571</output> <gadget id="calculator">(1/24) * (3/7)</gadget> <output>1/56 = around 0.017857</output> <gadget id="...
56
calc
ape210k__01088213
20% of a bag of flour is less than (3/10) (1/2) kg, how much does this bag of flour weigh?
<gadget id="calculator">1 / 2</gadget> <output>1/2 = around 0.5</output> <gadget id="calculator">3 / 10</gadget> <output>3/10 = around 0.3</output> <gadget id="calculator">20 / 100</gadget> <output>1/5 = around 0.2</output> <gadget id="calculator">(3/10) - (1/5)</gadget> <output>1/10 = around 0.1</output> <gadget i...
5
calc
aqua_rat__K9M38EkivQQLhNeo
4000 was divided into two parts such a way that when first part was invested at 3% and the second at 5%, the whole annual interest from both the investments is Rs.144, how much was put at 3%? Choose one: A) 2277 B) 2882 C) 2800 D) 2677 E) 2211
(x*3*1)/100 + [(4000 - x)*5*1]/100 = 144 3x/100 + 200 – 5x/100 = 144 2x/100 = 56 è x = 2800 Answer: 2800 <result>C</result>
C
calc
ape210k__00631391
If two cubes with a surface area of 24 square decimeters are put together to form a cuboid, what is the surface area of this cuboid?
<gadget id="calculator">24 / 6</gadget> <output>4</output> <gadget id="calculator">4 * 10</gadget> <output>40</output> <result>40</result>
40
calc
ape210k__00427023
The cafeteria shipped 500 kilograms of rice, and 17 kilograms remained after 7 days of use. How many kilograms are used on average per day?
<gadget id="calculator">500 - 17</gadget> <output>483</output> <gadget id="calculator">483 / 7</gadget> <output>69</output> <result>69</result>
69
calc
ape210k__00327307
5 flour machines can process 1025 kg of flour per hour. According to this calculation, how many kilograms of flour can be processed per hour after increasing the flour machine by 2 times?
<gadget id="calculator">1_025 / 5</gadget> <output>205</output> <gadget id="calculator">5 * 2</gadget> <output>10</output> <gadget id="calculator">10 + 5</gadget> <output>15</output> <gadget id="calculator">205 * 15</gadget> <output>3_075</output> <result>3_075</result>
3_075
calc
aqua_rat__MqoCG4hedRKShjtq
If a and b are integers and (a*b)^5 = 32y, y could be: Options. A) 16 B) 1 C) 8 D) 12 E) 24
Distribute the exponent. a^5 * b^5 = 32 y Find the prime factorization of 32. This is 2^5 *1. we need 1 The answer is 1. <result>B</result>
B
calc
aqua_rat__C6qpODzxpjjBExfo
If the sales tax reduced from 3 1/2 % to 3 1/3%, then what difference does it make to a person who purchases an article with market price of Rs. 9600 ? Choose the correct answer A) 11 B) 13 C) 14 D) 18 E) 16
Required difference = [3 ½ % of Rs.9600] – [3 1/3 % of Rs.9600] = [(7/20-(10/3)]% of Rs.9600 =1/6 % of Rs.9600 = Rs. [(1/6)8(1/100)*9600] = Rs. 16. Answer is 16. <result>E</result>
E
calc
aqua_rat__8CwUtYp3TdFpKOv2
If a 9 ton whale is divided into 2 equal large pieces and 3 equal small pieces, how much does a small piece weigh if all of the small pieces put together weigh as much as one of the large pieces? Select: A) 1 ton B) 1 1/2 tons C) 2 tons D) 2 1/2 tons E) 3 tons
A. Each large piece is a third of the whale. Each small piece is a third of the remaining third of the whale. One third of one third is one ninth. One ninth of nine tons is one ton, so the answer is 1 ton <result>A</result>
A
calc
aqua_rat__71lr1cbcYrjLkl3e
A train travels from city C to city D. The average speed of the train is 60 miles/hr and it travels the first quarter of the trip at a speed of 90 mi/hr. What is the speed of the train in the remaining trip? Choose the correct choice from the following answers. A) 30 B) 45 C) 54 D) 72 E) 90
Using the RTD chart, with A being the first quarter, B the rest of the trip and All the combinedtrip. _______R_____T______D C.........90........3..........270 D.........54.......15.........810 All........60.......18........1080 Let me explain how we fill in the chart: 1) Starting with what we know, we add 9...
C
calc
math_qa__Y7ot2bAxSHXwUlA7
Each of the dogs in a certain kennel is a single color. Each of the dogs in the kennel either has long fur or does not. Of the 45 dogs in the kennel, 29 have long fur, 17 are brown, and 8 are neither long-furred nor brown. How many long-furred dogs are brown? Choose the correct choice. A) 26 B) 19 C) 11 D) 8 E) 9
<gadget id="calculator">29 + 17</gadget> <output>46</output> <gadget id="calculator">45 - 8</gadget> <output>37</output> <gadget id="calculator">46 - 37</gadget> <output>9</output> <result>E</result>
E
calc
aqua_rat__36tuoaCrXDSY3ceb
Each of the integers from 0 to 9, inclusive, is written on a separate slip of blank paper and the ten slips are dropped into hat. If the slips are then drawn one at a time without replacement, how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 9? Answers A) 3 B) 4 C) 5 D) 6 E...
i'm not sure i got the question right, if it is what i think it is, then 5 should be the right answer 0,1,2,3,4,will not have 2 slip sum of 9, add another (either 6,7,8 or 9) and we'll have a pair with sum 9 Ans:5 <result>C</result>
C
calc
aqua_rat__8oms7bbcqOo2yg9B
How many multiples of 2 are there between 0 and 100, exclusive ? Choose the correct choice from the following: A) 48 B) 47 C) 46 D) 45 E) 49
2 * 50= <gadget id="calculator">2 * 50</gadget> <output>100</output> 100 Total multiples= (50 -1) + 1= <gadget id="calculator">(50 -1) + 1</gadget> <output>50</output> 50 49xclude 0 and 100= 50 - 1= <gadget id="calculator">50 - 1</gadget> <output>49</output> 49 Answer is 49. <result>E</result>
E
calc
ape210k__00230148
Put the "Lulu Almond Dew" drink in cartons. According to the design requirements, each box has 3 layers, and the number of bottles on each layer is the same. A total of 16 bottles on the second floor have been placed in a carton. How many bottles can this carton hold?
<gadget id="calculator">16 / 2</gadget> <output>8</output> <gadget id="calculator">8 * 3</gadget> <output>24</output> <result>24</result>
24
calc
ape210k__00852459
Cars A and B start at the same time from two places 560 kilometers apart and drive toward each other. It is known that the speed ratio of cars A and B is 4:3, and the two cars meet after 4 hours. How many kilometers per hour does the car travel?
<gadget id="calculator">560 / 4</gadget> <output>140</output> <gadget id="calculator">4 + 3</gadget> <output>7</output> <gadget id="calculator">4 / 7</gadget> <output>4/7 = around 0.571429</output> <gadget id="calculator">140 * (4/7)</gadget> <output>80</output> <result>80</result>
80
calc
aqua_rat__ZtlenalXljGQE2WR
J and M were each paid x dollars in advance to do a certain job together. J worked on the job for 8 hours and M worked for 4 hours less than J. If M gave J y dollars of her payment so that they would have received the same hourly wage, what was the dollar amount, in terms of y, that J was paid in advance? Choose the co...
J and M were both paid x dollars If M gave Y dollars from her X to J then at the end J will have X+Y dollars M will have X- Y dollars Now since the hourly wages have to be same then Hourly wage of J = (X+Y) / 8 (Since J worked for 8 hrs) Hourly wage of M = (X-y) /4 (Since M worked 4 hrs less than J) Equat...
B
calc
aqua_rat__oKFFQFIBGtXgFarC
Six children — A, B, C, D, E, F, and G — are going to sit in seven chairs in a row. Children AB must sit next to each other, and child C must be somewhere to the right of AB. How many possible configurations are there for the children? Choose the correct answer: A) 600 B) 720 C) 1440 D) 4320 E) 4800
A, B, C, D, E, F, G- seven children, of which AB must sit next to each other. Considering them as one X (A, B), we have X, C, D, E, F, G. These can be arranged in 6! ways. But A,B can arrange themselves in 2! ways. So a total of 6!*2! ways = 1440. Since in exactly half of them, C will be to the right of AB, and exactly...
A
calc
aqua_rat__pwXwHKRD7YtLUOzd
7.007/2.002 = Answers A) 3.05 B) 3.50035 C) 3.501 D) 3.5035 E) 3.5
7.007/2.002 = 7007/2002 = 7(1001)/2(1001) = 7/2= <gadget id="calculator">7/2</gadget> <output>7/2 = around 3.5</output> 3.5 The answer is 3.5. <result>E</result>
E
calc
math_qa__3jlqGm1wYtrGCMfA
Of the goose eggs laid at a certain pond, 1/2 hatched and 3/4 of the geese that hatched from those eggs survived the first month. Of the geese that survived the first month, 3/5 did not survive the first year. If 120 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs ...
<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> <gadget id="calculator">120 / (3/5)</gadget> <output>200</output> <gadget id="calculator">2 / 4</gadget> <output>1/2 = around 0.5</output> <gadget id="calculator">200...
A
calc
aqua_rat__v6pUeB31S6KYubal
The average age 9 men of a gang are the same as it was 2 years ago, because an old number has been replaced by a younger number. Find how much younger is the new men than the old number? Choose the correct choice: A) 10 B) 12 C) 18 D) 22 E) 24
9 * 2= <gadget id="calculator">9 * 2</gadget> <output>18</output> 18 years 18 <result>C</result>
C
calc
aqua_rat__q9qdUF9OlaUM52mi
A, B and C started a business with a total investment of Rs. 90000. A invests Rs. 6000 more than B and B invests Rs. 3000 less than C. If the total profit at the end of a year is Rs. 8640, Find A's share. Pick: A) Rs. 3168 B) Rs. 2520 C) Rs. 2880 D) Rs. 3360 E) None of these
Explanation: Let C's investment = Rs. x B's investment = Rs. (x - 3000) A's investment = Rs. (x - 3000 + 6000) = Rs. (x + 3000) Now, (A + B + C)'s investment = Rs. 90000 =&gt; x + (x - 3000) + (x + 3000) = 90000 =&gt; 3x = 90000 =&gt; x = 30000 Hence, A's investment = Rs. 33000 B's investment = Rs. 27...
A
calc
ape210k__00748383
The price of a radio is 25% lower this year than last year. The price of each radio is 36 yuan this year. How much was the price last year?
<gadget id="calculator">25 / 100</gadget> <output>1/4 = around 0.25</output> <gadget id="calculator">1 - (1/4)</gadget> <output>3/4 = around 0.75</output> <gadget id="calculator">36 / (3/4)</gadget> <output>48</output> <result>48</result>
48
calc
aqua_rat__u8vP2nPue73K50cV
During a two-week period, the price of an ounce of silver increased by 8 percent by the end of the first week and then decreased by 12 percent of this new price by the end of the second week. If the price of silver was x dollars per ounce at the beginning of the two-week period, what was the price, in dollars per ounce...
The price at the end is 0.88(1.08x)=0.9504x which is approximately 0.95x The answer is 0.95x. <result>B</result>
B
calc
math_qa__lTlEX1ufjEnSzMVb
George does 3/5th of a piece of work in 9 days. He then calls in Paul , and they finish the work in 4 days. How long would Paul take to do the work by himself? Choose the correct choice from the following choices: A) 30 B) 40 C) 50 D) 60 E) 70
<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">5 * 3</gadget> <output>15</output> <gadget id="calculator">1 / 15</gadget> <output>1/15 = around 0.066667</output> <gadget id="calculator">4 *...
A
calc
aqua_rat__Znj9qZcINm8fSedX
A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is: Choose the correct choice from the following answers: A) 4.14 kmph B) 5.10 kmph C) 4.50 kmph D) 4.4 kmph E) 5.00 kmph
4.14 kmph speed = (5*5/18) = 25/18 time taken by 4.14 kmph to cover 100 m = (100*18/25)= <gadget id="calculator">(100*18/25)</gadget> <output>72</output> 72 time taken by B to cover 92 m= (72+8)= <gadget id="calculator">(72+8)</gadget> <output>80</output> 80 sec B's speed= (92/80 * 18/5)= <gadget id="calculato...
A
calc
ape210k__00116553
There are 45 male workers and 36 female workers in workshop A; the number of female workers in workshop B is 120% of the number of male workers. If the workers in the two workshops are combined, then the number of male workers and female workers is exactly equal. How many workers are there in Workshop B?
<gadget id="calculator">45 - 36</gadget> <output>9</output> <gadget id="calculator">6 - 5</gadget> <output>1</output> <gadget id="calculator">9 / 1</gadget> <output>9</output> <gadget id="calculator">6 + 5</gadget> <output>11</output> <gadget id="calculator">9 * 11</gadget> <output>99</output> <result>99</result>
99
calc
aqua_rat__s2RWWqGetBb4Zdji
If y = x^2 + ux + v, y is minimum when x is: Select the correct option A) u/u B) -u/u C) -u/2 D) -v/2 E) v/u
We're given the equation Y = X^2 + uX + v. IF.. we use a simple Classic Quadratic.... u = 2 v = 1 Y = X^2 + 2X + 1 We can then go about finding the answer that yields the MINIMUM result when X = ... Answer A: u/v = 2/1= <gadget id="calculator">2/1</gadget> <output>2</output> 2 --&gt; 4+4+1= +9 Answer B: ...
C
calc
math_qa__wWprFSEGO4Gqhr9T
The price of a jacket is reduced by 35%. During a special sale the price of the jacket is reduced another 10%. By approximately what percent must the price of the jacket now be increased in order to restore it to its original amount? Choose the correct choice from the following A) 70.9 B) 75 C) 48 D) 65 E) 67.5
<gadget id="calculator">100 - 35</gadget> <output>65</output> <gadget id="calculator">10 / 100</gadget> <output>1/10 = around 0.1</output> <gadget id="calculator">65 * (1/10)</gadget> <output>13/2 = around 6.5</output> <gadget id="calculator">65 - (13/2)</gadget> <output>117/2 = around 58.5</output> <gadget id="cal...
A
calc
ape210k__00530972
A job is completed in 12 days by A alone, 15 days by B alone, 3 days by team A, and how many days will it take for A and B to cooperate.
<gadget id="calculator">1 / 12</gadget> <output>1/12 = around 0.083333</output> <gadget id="calculator">(1/12) * 3</gadget> <output>1/4 = around 0.25</output> <gadget id="calculator">1 - (1/4)</gadget> <output>3/4 = around 0.75</output> <gadget id="calculator">1 / 15</gadget> <output>1/15 = around 0.066667</output> ...
5
calc
math_qa__0w2QOTmSxPmX4ZuY
In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7000, the number of valid votes that the other candidate got, was: Choose the correct choice from the following options: A) 2800 B) 2700 C) 2900 D) 2200 E) 2520
<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">55 / 100</gadget> <output>11/20 = around 0.55</output> <gadget id="calculator">1 - (11/20)</gadget> <output>9/20 = around 0.45</output> <ga...
E
calc
mawps__fxEs2G1UqTdxsgs4
Bonnie 's science class recorded the rainfall each day . They recorded 0.16666666666666666 centimeter of rain on Monday , 0.4166666666666667 centimeter of rain on Tuesday , and 0.08333333333333333 centimeter of rain on Wednesday . How many centimeters of rain did the class record in all ?
<gadget id="calculator">0.166667 + 0.416667 + 0.083333</gadget> <output>0.666667</output> <result>0.666667</result>
0.666667
calc
ape210k__00240590
Among the following 3 numbers, the closest to 0 is - how many
<gadget id="calculator">0 - (-1)</gadget> <output>1</output> <result>1</result>
1
calc
ape210k__00543467
The price of a ballpoint pen is 1.8 yuan, and a fountain pen is 6.5 yuan more expensive than the ballpoint pen. What is the price of the pen?
<gadget id="calculator">1.8 + 6.5</gadget> <output>8.3</output> <result>8.3</result>
8.3
calc
aqua_rat__0jVOpc7hysZvBTJ4
If you roll one fair six-sided die, what is the probability that the number is even or less than 5? Choose the correct choice from the following answers. A) 3/4 B) 5/6 C) 1/2 D) 2/3 E) 1/6
The numbers which satisfy the conditions are 1, 2, 3, 4, and 6. The probability is 5/6 The answer is 5/6. <result>B</result>
B
calc
ape210k__00693815
y is proportional to x, and when x=1, y=3; then when y=1, what is x equal to
<gadget id="calculator">1 / 3</gadget> <output>1/3 = around 0.333333</output> <result>1/3 = around 0.333333</result>
1/3
calc
aqua_rat__xlAnvyB2j5ID7YtI
Of 30 applicants for a job, 9 had at least 4 years' experience, 18 had degrees, and 3 had less than 4 years' experience and did not have a degree.How many of the applicants had at least 4 years' experience and a degree? Select: A) 14 B) 10 C) 9 D) 7 E) 5
B. 10 30 - 3= <gadget id="calculator">30 - 3</gadget> <output>27</output> 27 27 - 9 - 18= -10 Then 5 are in the intersection between 4 years experience and degree. Answer 10 <result>B</result>
B
calc
ape210k__00486668
Find: The ratio of 2 square centimeters to 3.2 square meters.
<gadget id="calculator">2 / 32_000</gadget> <output>1/16_000 = around 0.000063</output> <result>1/16_000 = around 0.000063</result>
1/16_000
calc
ape210k__00309047
In order to create a "provincial civilized city", the municipal government plans to lay 320,000 pieces of floor tiles on Xidi Heng Street. It has been laid for 4 days, and 20,000 pieces are laid every day. A thousand tiles?
<gadget id="calculator">20 * 4</gadget> <output>80</output> <gadget id="calculator">320 - 80</gadget> <output>240</output> <gadget id="calculator">240 / 6</gadget> <output>40</output> <result>40</result>
40
calc
ape210k__00253762
On January 1 this year, Xiao Ming deposited 380 yuan of current savings in the bank, and the monthly interest rate is 0.315%. When depositing for half a year, the total amount of principal and interest can be withdrawn.
<gadget id="calculator">0.315 / 100</gadget> <output>0.00315</output> <gadget id="calculator">380 * 0.00315 * 6</gadget> <output>7.182</output> <gadget id="calculator">380 + 7.182</gadget> <output>387.182</output> <result>387.182</result>
387.182
calc
ape210k__00497450
The master and apprentice have to complete 624 parts. They worked for 6 hours and just completed the task. The apprentice completed a total of 288 parts. How many parts does the master complete per hour?
<gadget id="calculator">624 - 288</gadget> <output>336</output> <gadget id="calculator">336 / 6</gadget> <output>56</output> <result>56</result>
56
calc
aqua_rat__mYyjXv19uzXjvxhT
Two friends P & Q started a business investing amounts in the ratio of 5 : 6. R joined them after six months investing an amount equal to that of Q’s amount. At the end of the year 35% profit was earned which was equal to 98,000. What was the amount invested by R? Choose the correct choice from the following options....
Ratio for amount invested by P, Q &amp; R = 5x × 12 : 6x × 12 : 6x × 6 = 60x : 72x : 36x = 5x : 6x : 3x Profit = 98000 = 35% of T where, T = Total amount T = 280000 Amount received by R = 3x /3x+6x+5x(280000) = 60000 Answer 60,000 <result>E</result>
E
calc
aqua_rat__i1lx0CuPuhZWwjVG
If a train, travelling at a speed of 270 kmph, crosses a pole in 5 sec, then the length of train is? Pick: A) 281 m B) 325 m C) 117 m D) 375 m E) 350 m
375 m 375 m = 270 * 5/18 * 5= <gadget id="calculator">270 * 5/18 * 5</gadget> <output>375</output> 375 m <result>D</result>
D
calc
aqua_rat__s5G2hm3Y3bIw94W3
The product of the squares of two positive integers is 9. How many pairs of positive integers satisfy this condition? Choose the correct choice. A) 0 B) 1 C) 2 D) 3 E) 4
Ans:B - 1 pairs (xˆ2)(yˆ2) = 9 [square root both sides] xy = 3 3 = 1x3, 3x1 Cancel the repeats This leaves us with exactly 1 options. Hence, 1 <result>B</result>
B
calc
gsm8k__qWiuc1czm2WCOIYV
A group of 300 athletes spent Saturday night at Ultimate Fitness Camp. The next morning, for 4 hours straight, they left the camp at a rate of 28 athletes per hour. Over the next 7 hours, a new group of athletes trickled into the camp at a rate of 15 athletes per hour. Immediately thereafter, the camp gate was shut and...
The number that left the camp on Saturday morning was 4*28 = <gadget id="calculator">4*28</gadget> <output>112</output> 112 athletes. This means that in the camp there remained 300-112 = <gadget id="calculator">300-112</gadget> <output>188</output> 188 athletes. The new group trickling in on Sunday morning comprised ...
7
calc
aqua_rat__9ZdldY2dEvDJOV5g
In the parking lot there are 34 vehicles, 19 of them are buses, and the rest are cars. The color of 17 vehicles is red, of which 12 are buses. How many cars can be found in the parking lot which are not colored red? Answers: A) 9 B) 10 C) 11 D) 12 E) 13
The number of cars is 34-19= <gadget id="calculator">34-19</gadget> <output>15</output> 15. The number of red cars is 17-12= <gadget id="calculator"> 17-12</gadget> <output>5</output> 5. The number of cars which are not red is 15-5= <gadget id="calculator"> 15-5</gadget> <output>10</output> 10. The answer ...
B
calc
ape210k__00209851
If the adjacent sides of a parallelogram are 9 cm and 7 cm long, what is its perimeter?
<gadget id="calculator">9 + 7</gadget> <output>16</output> <gadget id="calculator">16 * 2</gadget> <output>32</output> <result>32</result>
32
calc
ape210k__00212674
The construction team repaired a section of road, 25% of the total length was repaired in the first month, 1500 kilometers in the second month, and 1/8 of the total length in the third month, and the task was completed in three months. How many kilometers is this road?
<gadget id="calculator">25 / 100</gadget> <output>1/4 = around 0.25</output> <gadget id="calculator">1 / 8</gadget> <output>1/8 = around 0.125</output> <gadget id="calculator">1 - (1/4) - (1/8)</gadget> <output>5/8 = around 0.625</output> <gadget id="calculator">1_500 / (5/8)</gadget> <output>2_400</output> <result...
2_400
calc
ape210k__00361456
If the circumference of a circle is 6.28 cm, what is the radius of the circle in cm?
<gadget id="calculator">6.28 / 3.14 / 2</gadget> <output>1</output> <result>1</result>
1
calc
aqua_rat__xP4jF3GohA7YtcRD
Goldenrod and No Hope are in a horse race with 6 contestants. How many different W arrangements of finishes are there if No Hope always finishes before Goldenrod and if all of the horses finish the race? Select: A) 720 B) 360 C) 120 D) 24 E) 21
no hope finishing before goldenrod= 1/2 of the times therefore the different arrangements W are 1/2* 6! = 360 = 360 <result>B</result>
B
calc
ape210k__00486282
The cafeteria bought 224 cabbages, and they were shipped by 4 cars. How many cabbages were shipped by each car on average?
<gadget id="calculator">224 / 4</gadget> <output>56</output> <result>56</result>
56
calc
ape210k__00640467
How many times is the number obtained by moving the decimal point of 1.257 three places to the left and four places to the right
<result>10</result>
10
calc
ape210k__00377960
A cylindrical iron drum with a bottom diameter of 4dm and a height of 5dm. If the drum contains (1/4) of water, how many liters of water are there?
<gadget id="calculator">4 / 2</gadget> <output>2</output> <gadget id="calculator">2 ** 2</gadget> <output>4</output> <gadget id="calculator">1 / 4</gadget> <output>1/4 = around 0.25</output> <gadget id="calculator">3.14 * 4 * 5 * (1/4)</gadget> <output>15.7</output> <result>15.7</result>
15.7
calc
math_qa__MXmhtVbNOVzKP8ej
Find (7x + 4y ) / (x-2y) if x/2y = 5/2 ? Choose the correct choice from the following answers A) 13 B) 25 C) 26 D) 27 E) 29
<gadget id="calculator">5 / 2</gadget> <output>5/2 = around 2.5</output> <gadget id="calculator">(5/2) * 2</gadget> <output>5</output> <gadget id="calculator">5 * 7</gadget> <output>35</output> <gadget id="calculator">35 + 4</gadget> <output>39</output> <gadget id="calculator">5 - 2</gadget> <output>3</output> <ga...
A
calc
aqua_rat__zxVHkYdAr418wpyH
A plane flies 880 km with the wind and 720 km against the wind in the same length of time. If the speed of the wind is 20 km/h, what is the speed of the plane in still air? Pick: A) 140 km/h B) 160 km/h C) 180 km/h D) 200 km/h E) 220 km/h
The speed of the plane in still air = x km/h The speed of the wind is 20 km/h Speed with the wind = (x + 20) km/h Speed against the wind = (x – 20) km/h Time = Distance/ Speed 880 / (x+20) = 720 / (x-20) 880(x-20) = 720(x+20) 88x - 1760 = 72x + 1440 16x = 3200 x = 200 Therefore, the speed of the p...
D
calc
ape210k__01222907
Li Fan goes to school by bicycle, 15 kilometers per hour when he goes there, and 10 kilometers per hour when he returns due to the headwind, what is the average speed of Li Fan's round trip in kilometers?
<gadget id="calculator">1 + 1</gadget> <output>2</output> <gadget id="calculator">1 / 15</gadget> <output>1/15 = around 0.066667</output> <gadget id="calculator">1 / 10</gadget> <output>1/10 = around 0.1</output> <gadget id="calculator">(1/15) + (1/10)</gadget> <output>1/6 = around 0.166667</output> <gadget id="cal...
12
calc
ape210k__00238412
The teacher bought some homework assignments for the students, 2 copies and 2 assignments left 1 copy, 3 assignments and 3 assignments left 1 copy, 5 copies and 5 assignments left 1 copy. How many homework books did the teacher buy at least?
<gadget id="calculator">2 * 3 * 5</gadget> <output>30</output> <gadget id="calculator">30 + 1</gadget> <output>31</output> <result>31</result>
31
calc
ape210k__00247756
The school organizes excursions. The original plan was to walk 3.5 kilometers per hour and reach the destination in 5 hours. How many kilometers per hour on average will the original distance be covered in 2.5 hours? (To solve the equations, write out the equivalent relationship first)
<gadget id="calculator">3.5 * 5</gadget> <output>17.5</output> <gadget id="calculator">17.5 / 2.5</gadget> <output>7</output> <result>7</result>
7
calc
ape210k__00415556
Among the numbers 0.27, 0._{27}**(•), 0.2_{7}**(•), (2/7), what is the largest one?
<gadget id="calculator">2 / 7</gadget> <output>2/7 = around 0.285714</output> <result>2/7 = around 0.285714</result>
2/7
calc
ape210k__00150898
Xiao Ming goes shopping in the store. If he spends all the money around him on exercise books, he can buy 12 books. If he buys all the pens, he can buy 3 pens. Now after Xiao Ming buys 8 exercise books first, how many pens can he still buy?
<gadget id="calculator">1 / 12</gadget> <output>1/12 = around 0.083333</output> <gadget id="calculator">(1/12) * 8</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">(1/3) / (1/3)</gadget> <output>1</output> <resu...
1
calc
ape210k__00263575
A triangle and a square have the same area, and the base of the triangle and the sides of the square are both 4 decimeters, what is the height of the triangle in decimeters?
<gadget id="calculator">2 / 4</gadget> <output>1/2 = around 0.5</output> <gadget id="calculator">4 * 4 * (1/2)</gadget> <output>8</output> <result>8</result>
8
calc
aqua_rat__fdjkqZ5bDpnMLkcw
A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.7410. Find the share of A? Answers A) 2277 B) 3000 C) 2682 D) 7222 E) 2682
60*5:36*6:75*3 100: 72: 75 100/247 * 7410= <gadget id="calculator">100/247 * 7410</gadget> <output>3_000</output> 3000 Answer:3000 <result>B</result>
B
calc
ape210k__00005666
A pile of 400 tons of sand is transported away on the first day (5/8), and 100 tons on the second day, how many tons are left?
<gadget id="calculator">5 / 8</gadget> <output>5/8 = around 0.625</output> <gadget id="calculator">400 * (5/8)</gadget> <output>250</output> <gadget id="calculator">400 - 250 - 100</gadget> <output>50</output> <result>50</result>
50
calc
ape210k__00394218
A circular aquarium has a circumference of 188.4 meters. Now it is widened by 1 meter around it. How many square meters has the area increased by the widening?
<gadget id="calculator">188.4 / 3.14 / 2</gadget> <output>30</output> <gadget id="calculator">30 + 1</gadget> <output>31</output> <gadget id="calculator">31 ** 2</gadget> <output>961</output> <gadget id="calculator">3.14 * 961</gadget> <output>3_017.54</output> <gadget id="calculator">30 ** 2</gadget> <output>900</...
191.54
calc
math_qa__0gBovcwuFRXoVAmi
The ratio between the length and the breadth of a rectangular park is 1 : 3. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 4 min, then the area of the park (in sq. m) is? Choose the correct choice from the following options. A) 800 m B) 12000 m C) 36000 m D) 80000 m E) ...
<gadget id="calculator">3 * 2</gadget> <output>6</output> <gadget id="calculator">10 * 6</gadget> <output>60</output> <gadget id="calculator">12 / 60</gadget> <output>1/5 = around 0.2</output> <gadget id="calculator">(1/5) * 4</gadget> <output>4/5 = around 0.8</output> <gadget id="calculator">(4/5) * 1_000</gadget>...
E
calc
ape210k__00051509
Digging a water tank, the full length (1/4) was dug on the first day, the length ratio of the second day to the first day was 5:2, and there was still 1.25 kilometers left to dig. What is the total length of this water tank? km?
<gadget id="calculator">1 / 4</gadget> <output>1/4 = around 0.25</output> <gadget id="calculator">5 / 2</gadget> <output>5/2 = around 2.5</output> <gadget id="calculator">(1/4) * (5/2)</gadget> <output>5/8 = around 0.625</output> <gadget id="calculator">1 - (1/4) - (5/8)</gadget> <output>1/8 = around 0.125</output> ...
10
calc
ape210k__00364336
There are 240 story books in the school library, accounting for (1/5) of the total number of books, and 30 fewer science and technology books than (1/3) of the total number of books. How many technical books are there?
<gadget id="calculator">1 / 5</gadget> <output>1/5 = around 0.2</output> <gadget id="calculator">240 / (1/5)</gadget> <output>1_200</output> <gadget id="calculator">1 / 3</gadget> <output>1/3 = around 0.333333</output> <gadget id="calculator">1_200 * (1/3)</gadget> <output>400</output> <gadget id="calculator">400 -...
370
calc
aqua_rat__HdKpb3Fz92Ie1kUZ
From given equation find the value of x: 2x² + 9x − 5 Select the correct option: A) 1 B) 1/2 C) 1/3 D) 2/3 E) 2/5
That quadratic is factored as follows: 2x² + 9x − 5 = (2x − 1)(x + 5). Lesson 17. Now, it is easy to see that the second factor will be 0 when x = −5. As for the value of x that will make 2x − 1 = 0, we must solve that little equation. (Lesson 9.) We have: 2x = 1 x = 1 2 The solutions are: x = 1...
B
calc
ape210k__00336223
How much is added to 60000000, this number is 600,700,060.
<gadget id="calculator">60_700_060 - 60_000_000</gadget> <output>700_060</output> <result>700_060</result>
700_060
calc
math_qa__xnF6FPomzTCHOMFe
Pipe A can fill a tank in 6 hours. Due to a leak at the bottom, it takes 9 hours for the pipe A to fill the tank. In what time can the leak alone empty the full tank? Choose the correct choice from the following answers A) 33 B) 77 C) 18 D) 99 E) 66
<gadget id="calculator">9 * 6</gadget> <output>54</output> <gadget id="calculator">9 - 6</gadget> <output>3</output> <gadget id="calculator">54 / 3</gadget> <output>18</output> <result>C</result>
C
calc