id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00436856 | Shaw School will hold the 2nd Campus Reading Festival next week. The school will purchase 900 science books, literature books, and story books according to the ratio of 2:1:3 according to the needs, including how many story books. | <gadget id="calculator">2 + 1 + 3</gadget>
<output>6</output>
<gadget id="calculator">3 / 6</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">900 * (1/2)</gadget>
<output>450</output>
<result>450</result> | 450 | calc |
aqua_rat__rNbnBLsf52FwGRPT | A survey reveals that the average income of a company’s customers is $45,000 per year. If 50 customers respond to the survey and the average income of the wealthiest 10 of those customers is $65,000, what is the average income of the other 40 customers?
Is there a way to solve this using weighted average concept instea... | let x be the average of 40 customers 40*x + 10* 65000 = 50*45000 solving this we have x= 40000 Answer is $40,000.
<result>D</result> | D | calc |
ape210k__00109402 | The area and base of a triangle and a parallelogram are equal, and the height of the triangle is 8 cm. What is the height of the parallelogram in cm? | <gadget id="calculator">8 / 2</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
ape210k__00051041 | A notebook computer, each sold for 5795 yuan, 5% discount than the original one. How much is the discount? | <gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">1 - (1/20)</gadget>
<output>19/20 = around 0.95</output>
<gadget id="calculator">5_795 / (19/20)</gadget>
<output>6_100</output>
<gadget id="calculator">6_100 * (1/20)</gadget>
<output>305</output>
<result>305</resu... | 305 | calc |
aqua_rat__xAeX7I81iDSb7hXV | Set X consists of all two-digit primes and set Y consists of all positive multiples of 4 less than 100. If the two sets are combined into one, what will be the range of the new set? Choose the correct choice from the following
A) 84
B) 93
C) 90
D) 92
E) 95 | Set X = {11, 13, 17,............., 83, 89, 97} Set Y = {4, 8, 12,..............., 88, 92, 96} Combining two sets, say Set Z Set Z = {4,8, 11, 12,13, 17, ..................., 83, 88, 89, 92, 96, 97} Range = Max Value - Min Value Range (Z) = 97 - 4=
<gadget id="calculator">97 - 4</gadget>
<output>93</output>
9... | B | calc |
ape210k__00574372 | When Xiaojie reads a story book, the ratio of the number of pages she has read to the number of remaining pages is 1:4. Xiaojie’s good friend Xiaoling finds out that the number of pages Xiaojie has read is greater than the total number of pages in the book. (3/4) 22 pages less. How many pages does this storybook have? | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">1 + 4</gadget>
<output>5</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(3/4) - (1/5)</gadget>
<output>11/20 = around 0.55</output>
<gadget id="calculator">22 ... | 40 | calc |
ape210k__00500579 | For an article, Mr. Song has already typed 1600 words, exactly 40% of the full text. How many words are there in the full text? | <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__00612742 | There are 32 fewer roosters than hens in Uncle Wang's house, and the number of hens is 5 times that of roosters. How many hens are there? (solution by equation) | <gadget id="calculator">5 - 1</gadget>
<output>4</output>
<gadget id="calculator">32 / 4</gadget>
<output>8</output>
<gadget id="calculator">8 * 5</gadget>
<output>40</output>
<result>40</result> | 40 | calc |
aqua_rat__82YPpHlLfLe5dkrr | A certain automobile company’s best-selling model is the Speedster. The Speedster, like all of their other models, comes in coupe and convertible styles. 2/3 of the current inventory is Speedsters, of which 4/5 are convertibles. If there are 40 vehicles that are not Speedsters, how many Speedster convertibles are there... | Total Vehicle = 2/3 of speedster + 1/3 of others. Speedster convertibles = 2/3 total vehicle * 4 /5 Given : 1/3 constitutes 40 Vehicles. hence 2/3 constitutes 80 Speedster convertibls = 80 * 4/5=
<gadget id="calculator">80 * 4/5</gadget>
<output>64</output>
64 64
<result>B</result> | B | calc |
aqua_rat__lZOm76RJ597kTA3P | A committee of 5 is to be selected from among 3 boys and 6 girls. I how many ways can this be done if the committee is to consist of at-least one Girl?
what is the answer choice and how?
Pick one
A) 105 B) 225 C) 230 D) 350 E) 55 | I'm sure there is some problem with the question. R U sure its atleast one boy and not atleast 1 boy and 1 girl? if its 1 boy and 1 girl 3C1*5C4 + 3C2*5C3 + 3C3*5C2 3*5 + 3*10 + 1*10 15 + 30 + 10 55 55
<result>E</result> | E | calc |
ape210k__00294211 | and B travel from the East Village to the West Village at the same speed. After A has walked 12 kilometers, B starts to walk. After A arrives at the West Village, he returns immediately and meets B at a place (2/5) away from the West Village. How many meters are there between the East and West villages? | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(2/5) * 2</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">12 / (4/5)</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
aqua_rat__s1aiIXffl7PaycLd | Q is the brother of R;
P is the sister of Q;
T is the brother of S;
S is the daughter of R.
Who are the cousins of Q ? Choose one:
A) S and U B) S and H C) S and K D) S and T E) S and E | Explanation: T is the brother of S, who is the daughter of R. So, T and S are the children of R. Now. Q is the brother of R. So, T and S are the cousins of Q. Answer: S and T
<result>D</result> | D | calc |
aqua_rat__hV4SfqPLmPgZDQO3 | What will come in place of the x in the following number series? 12, 26, 54, 110, 222, x Pick.
A) 444 B) 446 C) 448 D) 452 E) 454 | 12
12 × 2 + 2 = 26
26 × 2 + 2 = 54
54 × 2 + 2 = 110
110 × 2 + 2 = 222
222 × 2 + 2 = 446 446
<result>B</result> | B | calc |
aqua_rat__tur6nRlM21qd45vC | A tradesman sold an article at a loss of 10%. If the selling price had been increased by $50, there would have been a gain of 10%. What was the cost price of the article ? Choose the correct choice from the following:
A) $100 B) $250 C) $200 D) $150 E) $300 | Let C.P. be $x then, (110% of x)-(90% of x) = 50 or 20% of x=100 x/5 = 50 x=250 C.P. = $250 correct option is $250
<result>B</result> | B | calc |
ape210k__00626878 | There is an even row of poplar trees beside the road. An old man is walking along the road. It took him 10 minutes to walk from the first tree to the sixth tree. At this speed, he walked for 20 minutes. How many trees have you reached? | <gadget id="calculator">6 - 1</gadget>
<output>5</output>
<gadget id="calculator">10 / 5</gadget>
<output>2</output>
<gadget id="calculator">20 / 2</gadget>
<output>10</output>
<gadget id="calculator">10 + 1</gadget>
<output>11</output>
<result>11</result> | 11 | calc |
aqua_rat__eSggVJnoUIXcZQ8l | Tough and Tricky questions: Work/Rate Problems.
A group of 4 junior lawyers require 4 hours to complete a legal research assignment. How many hours would it take a group of three legal assistants to complete the same research assignment assuming that a legal assistant works at two-thirds the rate of a junior lawyer?
So... | # of people times the # of hours: 4*4=
<gadget id="calculator">4*4</gadget>
<output>16</output>
16 --> 4 lawyers do 16worksin 4 hours. 3*8/3= 24/3=
<gadget id="calculator">24/3</gadget>
<output>8</output>
8 --> 3 assistants do 8 worksin 8/3 hours (2/3*5= 10/3) So, since the amount of work the assistants d... | D | calc |
gsm8k__HjNRfzyPkx5WYHYg | Miley bought two cellphones for her parents. Each cellphone costs $800 but, since she is buying two units, she will receive a 5% discount for the total cost. How much did Miley pay? | Two cellphones cost $800 x 2 = $
<gadget id="calculator">800*2</gadget>
<output>1_600</output>
1600.
The 5% discount amounts to $1600 x 5/100 = $
<gadget id="calculator">1600*5/100</gadget>
<output>80</output>
80.
So Miley paid $1600 - $80 = $
<gadget id="calculator">1600-80</gadget>
<output>1_520</output>
1520.
<resu... | 1_520 | calc |
ape210k__00935839 | There are 48 students in a class of the sixth grade, among which girls account for 3/8 of the whole class. Later, a few girls were transferred. At this time, the ratio of the number of boys to the number of girls was 3:2. How many of them were transferred? girl? | <gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">1 - (3/8)</gadget>
<output>5/8 = around 0.625</output>
<gadget id="calculator">3 + 2</gadget>
<output>5</output>
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">(5/8) /... | 2 | calc |
ape210k__00649603 | The students plant trees on both sides of a 120-meter-long road, and plant one tree every 6 meters (both ends should be planted). How many saplings are needed in total? | <gadget id="calculator">120 / 6</gadget>
<output>20</output>
<gadget id="calculator">20 + 1</gadget>
<output>21</output>
<gadget id="calculator">21 * 2</gadget>
<output>42</output>
<result>42</result> | 42 | calc |
aqua_rat__GkEEMhzM5OEPWBlF | A batsman makes a score of 87 runs in the 17th match and thus increases his average by 3. Find his average after 17th match Choose one.
A) 36
B) 37
C) 38
D) 39
E) 35 | Explanation: Let the average after 17th match is x then the average before 17th match is x-3 so 16(x-3) + 87 = 17x => x = 87 - 48=
<gadget id="calculator">87 - 48</gadget>
<output>39</output>
39 Option 39
<result>D</result> | D | calc |
math_qa__i8PbfIcNK6z6WGz0 | what is the least common multiple of 812 , 3214 Options
A) 672 B) 682 C) 328 D) 964 E) 285 | <gadget id="calculator">2 * 100</gadget>
<output>200</output>
<gadget id="calculator">812 - 200</gadget>
<output>612</output>
<gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">12 * 5</gadget>
<output>60</output>
<gadget id="calculator">612 + 60</gadget>
<output>672</output>
<result>... | A | calc |
ape210k__00248437 | How many minutes did the minute hand go from "4" to "8" | <gadget id="calculator">8 - 4</gadget>
<output>4</output>
<gadget id="calculator">5 * 4</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
aqua_rat__VHd6W8sPAKLToZwE | Favid has d books, which is 3 times as many as Jeff and 1/2 as many as Paula. How many books do the three of them have altogether, in terms of d?
Choose one.
A) 5/6*d
B) 7/3*d
C) 10/3*d
D) 7/2*d
E) 9/2*d | Favid has d books; Jeff has d/3 books; Paula has 2d books; Total = d+d/3+2d=10d/3. Answer: 10/3*d.
<result>C</result> | C | calc |
aqua_rat__RqodEDoweMoFQDU4 | A hall 36m long and 15m broad is to be paved with stones, each measuring 2dm by 5 dm. The number of stones required is: Choose the correct answer:
A) 180
B) 1800
C) 5400
D) 18000
E) 1.8 | Area of the hall= 3600*1500 Area of each stone= (20*50) Therefore, number of stones= (3600*1500/ 20*50)= 5400 ANSWER:5400
<result>C</result> | C | calc |
aqua_rat__XcDnaCmPbQPNJjW6 | If x varies inversely as (y2 - 1) and is equal to 24 when y = 10, the value of x when y = 5 will be ? Choose the correct option:
A) 100
B) 101
C) 99
D) 98
E) 97 | Let X = K/(Y2 - 1). Now 24 = K/(100 - 1) Or K = 24 x 99. X = K/(Y2 – 1) When Y = 5, X = 24 × 99/(25 - 1 ) = 99 ANSWER:99
<result>C</result> | C | calc |
ape210k__00448244 | Grandpa's house has a small rectangular vegetable garden, 34.5 meters long and 200 decimeters wide. If you want to fence this small vegetable garden, how many meters does the fence need? How many tomatoes can be planted in a small vegetable garden with one plant per 0.69 square meters? | <gadget id="calculator">200 / 10 / 0.69</gadget>
<output>28.985507</output>
<gadget id="calculator">34.5 * 28.985507</gadget>
<output>999.999991</output>
<result>999.999991</result> | 999.999991 | calc |
ape210k__00570446 | The garment factory plans to produce 850 sets of student uniforms. It has been produced for 5 days, and 30 sets are produced every day. The rest will be completed within 20 days, how many sets will be produced per day on average? | <gadget id="calculator">30 * 5</gadget>
<output>150</output>
<gadget id="calculator">850 - 150</gadget>
<output>700</output>
<gadget id="calculator">700 / 20</gadget>
<output>35</output>
<result>35</result> | 35 | calc |
aqua_rat__pL69pQeqLCM6p3q1 | Sandy is younger than Molly by 14 years. If their ages are in the respective ratio of 7:9, how old is Molly? Choose the correct choice from the following options.
A) 36 B) 45 C) 54 D) 63 E) 72 | S = M - 14 S / M = 7/9 9S = 7M 9(M-14) = 7M M = 63 The answer is 63.
<result>D</result> | D | calc |
ape210k__00520619 | A cuboid tin oil drum has a square bottom, side length is 0.2 meters, and height is 0.5 meters. What is the capacity of the oil drum in liters? (thickness is ignored) | <gadget id="calculator">0.2 * 0.2 * 0.5 * 1_000</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
aqua_rat__5GdfxjKYfnkgkaYN | Indu gave Bindu Rs.5000 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 4% per annum simple interest? Choose the correct choice from the following options.
A) 1 B) 2 C) 7 D) 4 E) 8 | 5000 = D(100/4)2 D = 8 Answer:8
<result>E</result> | E | calc |
ape210k__01215999 | Uncle Tian brought 900 yuan to buy fertilizer. He bought 12 bags of the same chemical fertilizer, leaving 60 yuan. How much does each bag of fertilizer cost? | <gadget id="calculator">900 - 60</gadget>
<output>840</output>
<gadget id="calculator">840 / 12</gadget>
<output>70</output>
<result>70</result> | 70 | calc |
math_qa__o7Rigr6gPKqIlWPv | Because he’s taxed by his home planet, Mork pays a tax rate of 45% on his income, while Mindy pays a rate of only 20% on hers. If Mindy earned 4 times as much as Mork did, what was their combined tax rate? Choose the correct answer: A) 22 % B) 25 % C) 28 % D) 31 % E) 34 % | <gadget id="calculator">45 / 100</gadget>
<output>9/20 = around 0.45</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">4 * (1/5)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(9/20) + (4/5)</gadget>
<output>5/4 = around 1.25</output>
<g... | B | calc |
ape210k__00086998 | A, B, and C need 6 hours to complete a project. If A works for 6 hours and B and C cooperate for 2 hours, they can complete the project (2/3); if A and B cooperate for 3 hours, C can complete it in 6 hours. Engineering (2/3). How long will it take for this project to be completed by the cooperation of A and C? | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(1/6) * 3</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(2/3) - (1/2)</gadget>
<output>1/6 = around 0.166667</output... | 6 | calc |
math_qa__mayDi8bxZKvfDm2V | Find avrg speed if a man travels at speed of 18km/hr up and 24km/hr dawn at an altitude of 300m. Answers
A) 25.8 B) 26.8 C) 27.8 D) 20.5 E) 21.8 | <gadget id="calculator">2 * 18</gadget>
<output>36</output>
<gadget id="calculator">36 * 24</gadget>
<output>864</output>
<gadget id="calculator">18 + 24</gadget>
<output>42</output>
<gadget id="calculator">864 / 42</gadget>
<output>144/7 = around 20.571429</output>
<result>D</result> | D | calc |
ape210k__00085593 | What is the largest number among the five numbers (10/17), (12/19), (15/23), (20/33), (30/49). | <gadget id="calculator">15 / 23</gadget>
<output>15/23 = around 0.652174</output>
<result>15/23 = around 0.652174</result> | 15/23 | calc |
ape210k__00567095 | A conical sand pile has a base circumference of 3.14 meters and a height of 1.5 meters. What is the volume of this sand pile? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<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">(1/3) * 3.14 * 0.25 * 1.5</gadget>
<output>0.3925</output>
<result>0.3925</resul... | 0.3925 | calc |
ape210k__00273345 | Uncle Li deposited 1,200 yuan in the bank with a monthly interest rate of 0.8%. After maturity, he withdrew a total of 1,488 yuan with principal and interest. How many years has he deposited it? | <gadget id="calculator">1_488 - 1_200</gadget>
<output>288</output>
<gadget id="calculator">0.8 / 100</gadget>
<output>0.008</output>
<gadget id="calculator">1_200 * 0.008</gadget>
<output>9.6</output>
<gadget id="calculator">288 / 9.6 / 12</gadget>
<output>2.5</output>
<result>2.5</result> | 2.5 | calc |
aqua_rat__VmRZ0GI2KXuXWVc8 | A sum of Rs.6800 is invested at a compound interest for three years, the rate of interest being 10% p.a., 20% p.a. and 25% p.a. for the 1st, 2nd and the 3rd years respectively. Find the interest received at the end of the three years. Choose the correct choice from the following answers
A) A)282
B) B)4420
C) C)8383
D) ... | Let A be the amount received at the end of the three years. A = 6800[1 + 10/100][1 + 20/100][1 + 25/100] A = 6800 * 1.65 A = Rs.11220 So the interest = 11220-6800 = Rs.4420 Answer: 4420
<result>B</result> | B | calc |
aqua_rat__0CfS0tqPBLmDsPrY | John distributes his pencil among his 4 friends Rose, Mary, Ranjan, and Rohit in the ratio 1/5 : 1/3 :1/4:1/5 . What is the minimum no. of pencils that the person should have? Choices:
A) 59 B) 65 C) 70 D) 77 E) 98 | Rakesh : Rahul : Ranjan : Rohit = 1 / 5 : 1 / 3 : 1 / 4 : 1 / 5 Step 1: At First we need to do is LCM of 2,3,4 and 5 is 60. Step 2: Then pencil are distributed in ratio among friends, Rakesh = ( 1 / 5 x 60 ) = 12 Rahul = ( 1 / 3 x 60 ) = 20. Ranjan = ( 1 / 4 x 60 ) = 15. Rohit = ( 1 / 5 x 60 ) = 12. Step ... | A | calc |
ape210k__01094057 | If the perimeter of a rectangle is 6 meters and the length is 0.75 meters, what is the width in meters? | <gadget id="calculator">6 / 2</gadget>
<output>3</output>
<gadget id="calculator">3 - 0.75</gadget>
<output>2.25</output>
<result>2.25</result> | 2.25 | calc |
ape210k__00382769 | The runway on the playground is 400 meters in one lap. After Xiaoqiang ran two laps, the number of meters he ran was 1 kilometer. | <gadget id="calculator">1 * 1_000</gadget>
<output>1_000</output>
<gadget id="calculator">400 * 2</gadget>
<output>800</output>
<gadget id="calculator">1_000 - 800</gadget>
<output>200</output>
<result>200</result> | 200 | calc |
ape210k__00516170 | After the price of a certain item has been reduced by 10% twice in a row, the price is 81 yuan. So what is the original price of this item. | <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">81 / (9/10) / (9/10)</gadget>
<output>100</output>
<result>100</result> | 100 | calc |
ape210k__00060379 | How many one hundredths are there in 0.14 is ((())/(())). | <result>14</result> | 14 | calc |
ape210k__00032570 | One day, the Olympic mascot store sold 129 sets of Fuwa in the morning and 161 sets in the afternoon. It is known that the income in the afternoon was 2,880 yuan more than in the morning. How much does each Fuwa cost? | <gadget id="calculator">161 - 129</gadget>
<output>32</output>
<gadget id="calculator">2_880 / 32</gadget>
<output>90</output>
<result>90</result> | 90 | calc |
ape210k__00978787 | Ding Ding Fruit Shop shipped 45 boxes of bananas, and the number of apple boxes shipped was three times that of bananas. How many boxes of fruit did Ding Ding Fruit Shop ship in total? | <gadget id="calculator">1 + 3</gadget>
<output>4</output>
<gadget id="calculator">45 * 4</gadget>
<output>180</output>
<result>180</result> | 180 | calc |
aqua_rat__Mzecs2CIP8MCUOq6 | Given a spinner with four sections of equal size labeled E, B, C, and D, what is the probability of NOT getting an E after spinning the spinner two times? Choose the most appropriate option: A) 15/16 B) 9/16 C) 1/2 D) 1/4 E) 1/8 | The probability of NOT getting an E after spinning the spinner two times is 3/4*3/4=9/16 (so getting any of the remaining 3 letters out of 4). Answer: 9/16.
<result>B</result> | B | calc |
aqua_rat__Jqkf0cWVBch16fVZ | Raju age after 23 years will be 5 times his age 5 years back, What is the present age of Raju Choose the most appropriate option:
A) 10 years B) 11 years C) 13 years D) 12 years E) 14 years | Explanation: Clearly, x+23 = 5(x-5) <=> 4x = 48 => x = 12 Option 12 years
<result>D</result> | D | calc |
ape210k__01063095 | There are 42 students in Class 1 of the third year, and the total number of students in the third grade is 7 times the number of students in Class 1 of the third year. How many students are there in the third grade? | <gadget id="calculator">42 * 7</gadget>
<output>294</output>
<result>294</result> | 294 | calc |
aqua_rat__zFXvsFeOkSEcKoMC | speed of a bus is 54kmph and including stoppages, it is 45kmph. For how many minsdoes the bus stop per hour? Options
A) 10 min
B) 15 min
C) 20 min
D) 25 min
E) 40 min | speed of the bus excluding stoppages = 54 kmph speed of the bus including stoppages = 45 kmph Loss in speed when including stoppages = 54 - 45=
<gadget id="calculator">54 - 45</gadget>
<output>9</output>
9kmph=> In 1 hour, bus covers 9 km less due to stoppages Hence, time that the bus stop per hour = time tak... | A | calc |
ape210k__00495833 | A piece of clothing is 100 yuan cheaper after a 10% discount. How much is the original price of this piece? | <gadget id="calculator">90 / 100</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">1 - (9/10)</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">100 / (1/10)</gadget>
<output>1_000</output>
<result>1_000</result> | 1_000 | calc |
ape210k__00511295 | If a 3.3-meter-long cuboid is sawn into 3 sections, the surface area increases by 96 square centimeters. What is the volume of the original wood in cubic decimeters? | <gadget id="calculator">96 / 4</gadget>
<output>24</output>
<gadget id="calculator">100 / 1_000</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">24 * 3.3 * (1/10)</gadget>
<output>7.92</output>
<result>7.92</result> | 7.92 | calc |
math_qa__LF4Ksu6CH44UYpHL | A trader sells 40 metres of cloth for Rs.8200 at a profit of Rs.25 per metre of cloth. How much profit will the trder earn on 40 metres of cloth? Choose the correct choice
A) rs . 950 B) rs . 1500 C) rs . 1000 D) rs . 1200 E) none of these | <gadget id="calculator">25 * 40</gadget>
<output>1_000</output>
<result>C</result> | C | calc |
ape210k__01089495 | If a*c=52, b*c=28, then (a+b)*c=how much. | <gadget id="calculator">28 + 52</gadget>
<output>80</output>
<result>80</result> | 80 | calc |
ape210k__00633009 | A road is 900 meters long and has been repaired for 5 days, averaging 138 meters per day. The rest will take two days to finish. How many meters are repaired on average per day? | <gadget id="calculator">138 * 5</gadget>
<output>690</output>
<gadget id="calculator">900 - 690</gadget>
<output>210</output>
<gadget id="calculator">210 / 2</gadget>
<output>105</output>
<result>105</result> | 105 | calc |
aqua_rat__PQkDIqNSEZsWC7u3 | The prime sum of an integer n greater than 1 is the sum of all the prime factors of n, including repetitions. For example , the prime sum of 12 is 7, since 12 = 2 x 2 x 3 and 2 +2 + 3 = 7. For which of the following integers is the prime sum greater than 36 ? Select the correct option:
A) 440
B) 512
C) 550
D) 620
E) 75... | Large numbers are made in two ways: Either by taking small prime numbers and raising them to higher powers or taking large prime numbers in the first place. 31*2=
<gadget id="calculator">31*2</gadget>
<output>62</output>
62 (large prime number) 2^6= 64 (many small prime numbers) To get a sum as large as 36 or ... | D | calc |
aqua_rat__oP32xFuaC6PVLBTE | The number 243 has been divided into three parts in such a way that one third of the first part, fourth of the second part and half of the third part are equal. Determine the largest part. Choose the correct option
A) 108 B) 276 C) 297 D) 266 E) 911 | Explanation: It is given that 243 has been divided into 3 numbers x y and z for instance. Second condition mentioned in the question is: => x/3 = y/4 =z/2 Clearly the biggest number is y. So let us solve w.r.t. y. => x = 3y/4 => x =3z/2 => z = y/2 => x+y+z = 243 => y/2 + 3y/4 + y = 2... | A | calc |
ape210k__00340548 | The speeds of cars, vans and buses are 90 km/h, 72 km/h and 63 km/h respectively. A car and a bus depart from A, and a van departs from B at the same time. The van encounters the car 30 minutes later and encounters the bus. How many kilometers is the distance between A and B? | <gadget id="calculator">0 + 0.5</gadget>
<output>0.5</output>
<gadget id="calculator">810 * 0.5</gadget>
<output>405</output>
<result>405</result> | 405 | calc |
aqua_rat__c4PICp3JckByn8fD | At a certain university, 7 students from the 10-student history department and 5 students from the 7-student English department will be selected to form a 12-student committee. At a neighboring university, 2 students from a 10-person math department and 3 students from a 7-student science department will be selected to... | Number of ways of selecting a 12 member student committee = 10C7 * 7C5 Number of ways of selecting a focus group of 5 students = 10C2 * 7C3 Ratio of 12 member student committee to 5 member focus group = 10C7∗7C5/10C2∗7C3= 8585 Answer: 8/5
<result>B</result> | B | calc |
aqua_rat__b9pvZBjvfEEl5Aqv | Carol is Five times Alice’s age but only twice as old as Betty. Alice is twelve years younger than Carol. How old is Betty? Choose the correct choice from the following answers.
A) 6
B) 9
C) 12
D) 18
E) 24 | given that C=5A=2B..AND A=C-12=5A-12-->4A=12-->A=3 substituting the values A=3,C=15 AND B=6.. ans 6=6..
<result>A</result> | A | calc |
aqua_rat__nVwVUqMogy2zHHY7 | Two pipes can fill a tank in 20 and 24 minutes respectively and a waste pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank is?
Select the correct option: A) 820 gallons B) 128 gallons C) 120 gallons D) 129 gallons E) 220 gallons | Work done by the waste pipe in 1 minute = 1/15 - (1/20 + 1/24) = - 1/40 Volume of 1/40 part = 3 gallons\ Volume of whole = 3 * 40=
<gadget id="calculator">3 * 40</gadget>
<output>120</output>
120 gallons. Answer: 120 gallons
<result>C</result> | C | calc |
math_qa__OhiHU5jqZiz8LZV0 | There is food for 760 men for 22 days. How many more men should join after two days so that the same food may last for 19 days more? Pick one.
A) 11 B) 40 C) 66 D) 55 E) 44 | <gadget id="calculator">22 - 2</gadget>
<output>20</output>
<gadget id="calculator">760 * 20</gadget>
<output>15_200</output>
<gadget id="calculator">15_200 / 19</gadget>
<output>800</output>
<gadget id="calculator">800 - 760</gadget>
<output>40</output>
<result>B</result> | B | calc |
ape210k__00754047 | In the fourth grade, there will be a mathematics competition. 10 points will be added for 1 correct answer, and 10 points will be deducted for 1 wrong answer. There are 20 questions in total. Xiao Ming scored 160 points, how many did he get right? | <gadget id="calculator">10 + 10</gadget>
<output>20</output>
<gadget id="calculator">10 * 20</gadget>
<output>200</output>
<gadget id="calculator">200 - 160</gadget>
<output>40</output>
<gadget id="calculator">40 / 20</gadget>
<output>2</output>
<gadget id="calculator">20 - 2</gadget>
<output>18</output>
<result>1... | 18 | calc |
ape210k__00140265 | Xiao Lin reads a book. He reads (1/5) of this book on the first day, and (4/9) of this book on the second day. At this time, there are still 32 pages that he has not read. How many pages are there in this book? Page? From which page do you start reading on the third day? | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">4 / 9</gadget>
<output>4/9 = around 0.444444</output>
<gadget id="calculator">1 - (1/5) - (4/9)</gadget>
<output>16/45 = around 0.355556</output>
<gadget id="calculator">32 / (16/45)</gadget>
<output>90</output>
<gadget... | 59 | calc |
math_qa__FZgn4NgPR47MIziS | Find the value of 3/11 × [(1 + 1/3) (1 + 1/4) …………. (1 + 1/120)] is ?
Select the correct option:
A) 11 B) 12 C) 14 D) 15 E) 16 | <gadget id="calculator">120 + 1</gadget>
<output>121</output>
<gadget id="calculator">121 / 11</gadget>
<output>11</output>
<result>A</result> | A | calc |
ape210k__00096922 | What is the angle between the hour and minute hands on the face at 3:30? | <gadget id="calculator">30 / 2</gadget>
<output>15</output>
<gadget id="calculator">30 * 2</gadget>
<output>60</output>
<gadget id="calculator">15 + 60</gadget>
<output>75</output>
<result>75</result> | 75 | calc |
ape210k__01194973 | To do a job alone, A needs 8 days, 2 days less than B, how much faster is A's work efficiency than B? | <gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">8 + 2</gadget>
<output>10</output>
<gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(1/8) - (1/10)</gadget>
<output>1/40 = around 0.025</output>
<gadget id="calculator... | 1/4 | calc |
ape210k__00286025 | The price of a set of desks and chairs is 105 yuan, and the price of the chairs is that of the desks (5/7). How much is the price of the chair? (answer with different knowledge) | <gadget id="calculator">5 + 7</gadget>
<output>12</output>
<gadget id="calculator">105 / 12</gadget>
<output>35/4 = around 8.75</output>
<gadget id="calculator">(35/4) * 5</gadget>
<output>175/4 = around 43.75</output>
<result>175/4 = around 43.75</result> | 175/4 | calc |
aqua_rat__9gXnbtdvCjxg97FL | A certain characteristic in a large population has a distribution that is symmetric about the mean m. If 68 percent of the distribution lies within one standard deviation d of the mean, what percent F of the distribution is less than m +d ?
Choose the correct choice
A) 16% B) 32% C) 48% D) 84% E) 92% | D The prompt says that 68% of the population lies between m-d and m+d. Thus, 32% of the population is less than m-d or greater than m+d. Since the population is symmetric, half of this 32% is less than m-d and half is greater than m+d. Thus, F=(68+16)% or (100-16)% of the population is less than m+d.84%
<result... | D | calc |
ape210k__00353341 | Three students plant trees on Arbor Day. The number of trees planted by the first student is (1/2) of the total number of trees planted by other students, and the number of trees planted by the second student is (1/2) of the total number of trees planted by other students. /4), the first classmate and the second classm... | <gadget id="calculator">2 + 1</gadget>
<output>3</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">4 + 1</gadget>
<output>5</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/3) + (1/5)</gadget>
<o... | 150 | calc |
aqua_rat__sdIcP9Oeo6jQodsl | In a college the ratio of the numbers of boys to the girls is 8:5. If there are 135 girls, the total number of students in the college is? Choices: A) 562 B) 351 C) 452 D) 416 E) 512 | Let the number of boys and girls be 8x and 5x Then , 5x = 135 x= 27 Total number of students = 13x = 13*27=
<gadget id="calculator">13*27</gadget>
<output>351</output>
351 Answer is 351
<result>B</result> | B | calc |
aqua_rat__wUsB6plq8936Qyy9 | A train passes a man standing on the platform. If the train is 170 meters long and its speed is 72 kmph, how much time it took in doing so? Choose the correct answer:
A) 3 1/2 sec
B) 3 5/2 sec
C) 3 7/2 sec
D) 8 1/2 sec
E) 3 1/8 sec | 8 1/2 sec = 170 S = 72 * 5/18=
<gadget id="calculator">72 * 5/18</gadget>
<output>20</output>
20 mps T= 170/20 = 8 1/2 sec Answer: 8 1/2 sec
<result>D</result> | D | calc |
ape210k__00524294 | The ratio of the numerator to the denominator of a fraction is 2:7. It is known that the numerator is 25 smaller than the denominator. What is the fraction? | <gadget id="calculator">2 / 7</gadget>
<output>2/7 = around 0.285714</output>
<gadget id="calculator">(2/7) * 25</gadget>
<output>50/7 = around 7.142857</output>
<gadget id="calculator">1 - (2/7)</gadget>
<output>5/7 = around 0.714286</output>
<gadget id="calculator">(50/7) / (5/7)</gadget>
<output>10</output>
<gad... | 2/7 | calc |
ape210k__00270209 | A cuboid with a length of 18cm, a width of 12cm and a height of 5cm is cut to make two identical cuboids with the largest cut surface. What is the cut surface in cm**2. | <gadget id="calculator">18 * 12</gadget>
<output>216</output>
<result>216</result> | 216 | calc |
ape210k__00543383 | When two numbers are divided, the quotient is 30. If the dividend is increased by 10 times and the divisor is increased by 5 times, what is the quotient? | <gadget id="calculator">10 / 5</gadget>
<output>2</output>
<gadget id="calculator">30 * 2</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
aqua_rat__Imycaxr0mxvYdSe2 | Find the no.of ways of arranging the boy and 8 guests at a circular table so that the boy always sits in a particular seat? Select the correct option.
A) 5! B) 8! C) 9! D) 12! E) 11! | Ans.(B) Sol. Total number of persons = 9 Host can sit in a particular seat in one way. Now, remaining positions are defined relative to the host. Hence, the remaining can sit in 8 places in 8P8 = 8! Ways ... The number of required arrangements = 8! x 1= 8! = 8! ways
<result>B</result> | B | calc |
ape210k__00097003 | There is a rectangle and a square with the same perimeter. If the length of the rectangle is 8 decimeters and the width is 6 decimeters, please find the area of the square. | <gadget id="calculator">8 + 6</gadget>
<output>14</output>
<gadget id="calculator">2 / 4</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">14 * (1/2)</gadget>
<output>7</output>
<gadget id="calculator">7 * 7</gadget>
<output>49</output>
<result>49</result> | 49 | calc |
ape210k__00020454 | Among the fractions (9/15), 1(9/12), (9/25), (9/27), which ones cannot be reduced to finite decimals? | <gadget id="calculator">9 / 27</gadget>
<output>1/3 = around 0.333333</output>
<result>1/3 = around 0.333333</result> | 1/3 | calc |
math_qa__MssZaX5GCRT9PTuy | In a group of ducks and cows, the total number of legs are 32 more than twice the number of heads. Find the total number of cows. Choose one
A) 12 B) 14 C) 16 D) 18 E) 20 | <gadget id="calculator">32 / 2</gadget>
<output>16</output>
<result>C</result> | C | calc |
aqua_rat__k9O1lgEr4OxofPiV | In a 100m race, Sam beats John by 5 seconds. On the contrary, if Sam allowed John to start 15m ahead of Sam, then Sam and John reach the finishing point at the same time. How long does Sam take to run the 100m race?
Choose the correct choice from the following answers
A) 4 seconds B) 25 seconds C) 29 seconds D) 21 seco... | Their difference is 5 second but this difference is 0 if john allows Sam to start the race from 15m ahead . that means Jhon was 15m away from finishing line when they started together . so He will cover 15 m in 5 seconds . so his speed =15/5=
<gadget id="calculator">15/5</gadget>
<output>3</output>
3 metre / second . ... | E | calc |
aqua_rat__deeFyhaJfQwqdzGK | A sells a bicycle to B at a profit of 80% and B sells it to C at a loss of 40%. Find the resultant profit or loss. Choose the correct option: A) -4% B) 5% C) -5% D) 8% E) -7% | The resultant profit or loss = 80 - 40 - (80*40)/100=
<gadget id="calculator">80 - 40 - (80*40)/100</gadget>
<output>8</output>
8% Profit= 8% Answer is 8%
<result>D</result> | D | calc |
aqua_rat__duscI75Z1yA2pDkS | A train speeds past a pole in 25 seconds and a platform 150 m long in 30 seconds. Its length is?
Choose the correct choice from the following answers.
A) 23 B) 22 C) 21 D) 30 E) 19 | Let the length of the train be x meters and its speed be y m/sec. They, x / y = 25 => y = x/25 (x + 150) / 30 = x / 25 x = 30 m. Answer:30
<result>D</result> | D | calc |
aqua_rat__up52q3t0i52a9ZmN | A = {0, 1, -3, 6, -8, -10}
B = {-1, 2, -4, 7, 6, -9}
If a is a number that is randomly selected from Set A, and b is a number that is randomly selected from Set B, what is the probability that ab < 0?
Choose the correct option:
A) 1/4 B) 1/3 C) 5/13 D) 5/12 E) 1/2 | For the product of 2 numbers to be negative either of them must be positive or negative: P(positive, negative) = 2/6*3/6 = 6/36; P(negative,positive ) = 3/6 * 3/6 = 9/36 P = 6/36 + 9/36 P = 15/36 P = 5/12 Answer: 5/12
<result>D</result> | D | calc |
ape210k__00341117 | Li Ying and Huang Ming compete on the stairs. When Li Ying walks 3 stairs, Huang Ming can walk 5. There are 20 stairs between every two floors of this building. When Huang Ming walks to the 6th floor, how many steps does Li Ying walk? Floors? | <gadget id="calculator">6 - 1</gadget>
<output>5</output>
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">5 * (3/5)</gadget>
<output>3</output>
<gadget id="calculator">3 + 1</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
aqua_rat__iqlpK2aKETQWGdlx | 6) A marketing firm determined that , of 180 households surveyed, 80 used neither Brand A nor Brand B soap.60 used only Brand A soap and for every household that used both brands of soap, 3 used only brand B soap.how many of the 200 household surveyed used both brands of soap? Pick one.
A) a) 15 B) b) 20 C) c) 30 D)... | 100 = At least one of Soap A or B Both brands = x Brand B = 3x => 60 + x + 3x = 100 => 4x = 40 => x = 10 Answer - d) 10
<result>D</result> | D | calc |
aqua_rat__P0NDHVM8ttBXVowj | When the positive integer y is divided by 9, the remainder is 5. What is the remainder when 3y is divided by 9?
Choose the correct choice from the following answers
A) 0
B) 1
C) 3
D) 4
E) 6 | Lets take the number as y when y is divided by 9 the remainder is 5 hence y can be written as y=9k +5 Multiplying by 3 will give 3y = 27k + 15 we can also write 3y = 27k + 9 + 6 Now 27k and 9 are divisible by 9 leaving the remainder as 6 hence 6 is the answer.
<result>E</result> | E | calc |
aqua_rat__PI9EHBNFnnXoCn5m | List R contains five numbers that have an average value of 50. If the median of the numbers in the list is equal to the mean and the largest number is equal to 20 more than two times the smallest number, what is the smallest possible value in the list? Choose the correct choice from the following options: A) 18 B) 22 C... | The middle number is 50. Let the smallest number be x. Then the largest number is 2x+20. To make x as small as possible, let's make the remaining numbers as large as possible. So the second largest = the largest = 2x+20. The second smallest should be equal to the median. The numbers are x, 50, 50, 2x+20, 2x+2... | B | calc |
ape210k__00589487 | It is known that the volume of a cylinder is 60% less than that of a cone, and the ratio of the base radii of the cylinder to the cone is 2:3, so how much less is the height of the cylinder than the height of the cone. | <gadget id="calculator">70 / 100</gadget>
<output>7/10 = around 0.7</output>
<result>7/10 = around 0.7</result> | 7/10 | calc |
ape210k__00170339 | 8 people participate in a class reunion, if every 2 people shake hands once, how many times will they shake hands in total? | <gadget id="calculator">8 - 1</gadget>
<output>7</output>
<gadget id="calculator">7 / 2</gadget>
<output>7/2 = around 3.5</output>
<gadget id="calculator">8 * (7/2)</gadget>
<output>28</output>
<result>28</result> | 28 | calc |
aqua_rat__v5Of65XvxuGWv9KO | A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. What is the total distance traveled by the man? Choose the correct choice: A) 5.77 km B) 5.98 km C) 5.76 km D) 5.96 km E) 5.12 km | Explanation: M = 6 S = 1.2 DS = 7.2 US = 4.8 x/7.2 + x/4.8 = 1 x = 2.88 D = 2.88 * 2=
<gadget id="calculator">2.88 * 2</gadget>
<output>5.76</output>
5.76 Answer: Option 5.76 km
<result>C</result> | C | calc |
ape210k__00350304 | A kind of disinfectant is made up of medicine powder and water according to the ratio of 1:20. How many kilograms of disinfectant can be made into 15 kilograms of existing medicinal powder? | <gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">15 / (1/20)</gadget>
<output>300</output>
<gadget id="calculator">15 + 300</gadget>
<output>315</output>
<result>315</result> | 315 | calc |
aqua_rat__43zL3aeVolnVvijh | In a certain boys camp, 20% of the total boys are from school A and 30% of those study science. If there are 56 boys in the camp that are from school A but do not study science then what is the total number of boys in the camp? Choices: A) 70 B) 245 C) 400 D) 35 E) 350 | Since 30% of the boys from school A study science, then 70% of the boys from school A do NOT study science and since 20% of the total number of boys are from school A, then 0.2*0.7=
<gadget id="calculator">0.2*0.7</gadget>
<output>0.14</output>
0.14, or 14% of the boys in the camp are from school A and do not study sc... | C | calc |
ape210k__00571084 | A carpenter needs to cut a 2-meter-long piece of wood into sections every 0.4 meters. Each section takes 2 minutes. How long does it take to cut this piece of wood? | <gadget id="calculator">2 / 0.4</gadget>
<output>5</output>
<gadget id="calculator">5 - 1</gadget>
<output>4</output>
<gadget id="calculator">4 * 2</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__00863425 | It took Huanhuan 8 minutes to make one flower, but Wang Chang made 5 flowers in 30 minutes. Huanhuan took a few more minutes to make a flower than Wang Chang did? | <gadget id="calculator">30 / 5</gadget>
<output>6</output>
<gadget id="calculator">8 - 6</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
ape210k__00567040 | There are electric fan sets in the shopping mall. The purchase price of each set is 80 yuan, and the selling price is 105 yuan. All of them are sold. Please use the formula containing letters to express the profit obtained by the shopping mall: how many yuan. | <gadget id="calculator">105 - 80</gadget>
<output>25</output>
<result>25</result> | 25 | calc |
ape210k__00315745 | A truck and a truck leave from A and B at the same time and meet each other in 5 hours. The passenger car travels 80 kilometers per hour and the truck travels 90 kilometers per hour. How many kilometers are there between A and B? | <gadget id="calculator">80 + 90</gadget>
<output>170</output>
<gadget id="calculator">170 * 5</gadget>
<output>850</output>
<result>850</result> | 850 | calc |
ape210k__00398381 | Among the 5 natural numbers, the median is 4 and the mode is only 6. What is the largest sum of these 5 numbers? | <gadget id="calculator">2 + 3 + 4 + 6 + 6</gadget>
<output>21</output>
<result>21</result> | 21 | calc |
ape210k__00663545 | The ratio of pear trees to peach trees in the orchard is 3:5. It is known that there are 80 peach trees. How many fruit trees are there in this orchard? | <gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">80 * (3/5)</gadget>
<output>48</output>
<gadget id="calculator">48 + 80</gadget>
<output>128</output>
<result>128</result> | 128 | calc |
ape210k__00400218 | Dad's monthly salary is 3,000 yuan, and mother's monthly salary is 2,600 yuan. The monthly household expenses account for (3/5) of their total wages. How much is the monthly household expenses? | <gadget id="calculator">3_000 + 2_600</gadget>
<output>5_600</output>
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">5_600 * (3/5)</gadget>
<output>3_360</output>
<result>3_360</result> | 3_360 | calc |
ape210k__00296587 | 49+33=how much. | <gadget id="calculator">49 + 33</gadget>
<output>82</output>
<result>82</result> | 82 | calc |
ape210k__00226843 | There is a series of numbers: 1, 3, 8, 22, 60, 164, 448, ... where the first number is 1, the second number is 3, and from the third number onwards, each number is exactly the first two numbers 2 times the sum. Then in this series of numbers, what is the remainder when the 2000th number is divided by 9? | <result>3</result> | 3 | calc |
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