id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00974831 | Qiqi practiced rope skipping. On the first day, he jumped 23 times, and every day after that he jumped 8 times more than the day before. How many dances did Qi Qi dance on the fifth day? | <gadget id="calculator">5 - 1</gadget>
<output>4</output>
<gadget id="calculator">4 * 8</gadget>
<output>32</output>
<gadget id="calculator">23 + 32</gadget>
<output>55</output>
<result>55</result> | 55 | calc |
ape210k__00613980 | On a runway, each runway is 1.5m wide, the straight runway is 100m long, and the diameter of the first semicircular runway is 60m. If you run 200m, how many meters should the starting line of the second lap be from the starting line of the first lap? | <gadget id="calculator">1.5 * 2 * 3.14</gadget>
<output>9.42</output>
<result>9.42</result> | 9.42 | calc |
aqua_rat__oi9qd7ip428gF5Tc | If there are 86 workers in a factory, and on a certain day, 72 were present. Calculate the percentage that showed up for work? (round to the nearest tenth).
Pick:
A) 82.7%
B) 81.7%
C) 83.7%
D) 89.7%
E) 88.7% | 72/86*100=83.72 83.7% correct answer 83.7%
<result>C</result> | C | calc |
aqua_rat__67f4boKxy9kSwUPf | Mangala completes a piece of work in 10 days, Raju completes the same work in 50 days. If both of them work together, then the number of days required to complete the work is? Choose the correct choice from the following answers.
A) 8 days B) 10 days C) 12 days D) 50/6 days E) 16 days | If A can complete a work in x days and B can complete the same work in y days, then, both of them together can complete the work in x y/ x+ y days. That is, the required No. of days = 10 × 50/60 = 50/6 days 50/6 days)
<result>D</result> | D | calc |
math_qa__qNmA7qk51RzQlVos | A man can row upstream at 15 kmph and downstream at 35 kmph, and then find the speed of the man in still water? Choose the correct choice from the following options.
A) 65
B) 86
C) 30
D) 78
E) 25 | <gadget id="calculator">15 + 35</gadget>
<output>50</output>
<gadget id="calculator">50 / 2</gadget>
<output>25</output>
<result>E</result> | E | calc |
aqua_rat__V5aORnCQCjdd4vph | The bankers discount of a certain sum of money is Rs. 576 and the true discount on the same sum for the same time is Rs. 480. The sum due is: Choose the correct choice.
A) 2880 B) 2870 C) 2860 D) 2850 E) 2840 | Sum = (B.D*T.D)/(B.D-T.D) (576*480)/576-480; 2880 2880NSWER:2880
<result>A</result> | A | calc |
aqua_rat__3aDY7xWwgYecFfbB | Two employees A and B are paid a total of Rs. 560 per week by their employer. If A is paid 150 percent of the sum paid to B, how much is B paid per week?
Choose the correct choice:
A) s.130 B) s.140 C) s.150 D) s.224 E) s.280 | Let the amount paid to A per week = x and the amount paid to B per week = y Then x + y = 560 But x = 150% of y = 150y/100 = 15y/10 ∴15y/10 + y = 560 ⇒ y[15/10 + 1] = 560 ⇒ 25y/10 = 560 ⇒ 25y = 5600 ⇒ y = 5600/25 =Rs.224 s.224)
<result>D</result> | D | calc |
aqua_rat__5gxKQ1o32e9fTILH | Carina has 85 ounces of coffee divided into 5- and 10-ounce packages. If she has 2 more 5-ounce packages than 10-ounce packages, how many 10-ounce packages does she have?
Choose the correct choice.
A) 5
B) 6
C) 7
D) 8
E) 9 | Lets say 5 and 10 ounce packages be x and y respectively. Given that, 5x+10y=85 and x=y+2. What is the value of y. Substituting the x in first equation, 5y+10+10y=85 ->y=75/15.=
<gadget id="calculator">75/15.</gadget>
<output>5</output>
5 5
<result>A</result> | A | calc |
ape210k__00570686 | If the side length of a cube is doubled, the surface area will be doubled. | <result>4</result> | 4 | calc |
ape210k__00374066 | conical steel billet whose base diameter and height are both 6 cm is melted and cast into a cylindrical part with a base radius of 2 cm. How many centimeters is the length of this cylindrical part? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">6 ** 2</gadget>
<output>36</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">3.14 * 4</gadget>
<output>12.56</output>
<gadget id="calculator">6 / 12.56</gadget>
<output>0.4... | 18 | calc |
ape210k__00567129 | A number is composed of 8 1s and 8 (1/9), what is the reciprocal of this number? | <gadget id="calculator">8 / 9</gadget>
<output>8/9 = around 0.888889</output>
<gadget id="calculator">8 + (8/9)</gadget>
<output>80/9 = around 8.888889</output>
<gadget id="calculator">1 / (80/9)</gadget>
<output>9/80 = around 0.1125</output>
<result>9/80 = around 0.1125</result> | 9/80 | calc |
ape210k__00455683 | Grandpa is 63 years older than Xiaohong, and his age this year is exactly 8 times that of Xiaohong. How old is Xiaohong this year? | <gadget id="calculator">8 - 1</gadget>
<output>7</output>
<gadget id="calculator">63 / 7</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
aqua_rat__wnjQhBYJOYbCwO18 | How many 3-digit numerals begin with a digit that represents a odd prime and end with a digit that represents a prime number? Options: A) 16 B) 80 C) 160 D) 120 E) 240 | prime digits 2,3,5 and 7. three digit numbers _ _ _ 1st place can be filled in 3 ways 2nd place can be filled in 10 ways 3rd place can be filled in 4 ways Total=3*10*4=
<gadget id="calculator">3*10*4</gadget>
<output>120</output>
120 Ans : 120
<result>D</result> | D | calc |
ape210k__00214056 | 4 looms weave 129.6 meters in 9 hours, how many meters can each loom weave per hour? | <gadget id="calculator">129.6 / 4 / 9</gadget>
<output>3.6</output>
<result>3.6</result> | 3.6 | calc |
ape210k__00305754 | After adding a decimal point to a four-digit number, add it to the original number, and the sum is 2013.94. What is the four-digit number. | <gadget id="calculator">100 + 1</gadget>
<output>101</output>
<gadget id="calculator">2_013.94 / 101</gadget>
<output>19.94</output>
<gadget id="calculator">19.94 * 100</gadget>
<output>1_994</output>
<result>1_994</result> | 1_994 | calc |
aqua_rat__s0k2S6B92CRSuByj | A dishonest dealer professes to sell goods at the cost price but uses a weight of 950 grams per kg, what is his percent?
Choose the correct option
A) 22% B) 25% C) 77% D) 5.26% E) 12% | 950 --- 50 100 --- ? => 5.26% Answer: 5.26%
<result>D</result> | D | calc |
ape210k__00896845 | There are 221 bags of rice in total, and I can transport up to 8 bags at a time. How many times at least? | <gadget id="calculator">27 + 1</gadget>
<output>28</output>
<result>28</result> | 28 | calc |
ape210k__00231659 | Calculation: 2.125*7.5*32. | <gadget id="calculator">2.125 * 7.5 * 32</gadget>
<output>510</output>
<result>510</result> | 510 | calc |
math_qa__qlVZ8Lj7iihUwh5e | The owner of a furniture shop charges his customer 25% more than the cost price. If a customer paid Rs. 5600 for a computer table, then what was the cost price of the computer table? Choose the correct choice from the following choices.
A) rs . 4480
B) rs . 5275
C) rs . 6275
D) rs . 6725
E) none of these | <gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 + (1/4)</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">5_600 / (5/4)</gadget>
<output>4_480</output>
<result>A</result> | A | calc |
ape210k__00026242 | There are 72 books on Xiaoming's bookshelf, including 12 science books, and the novels are science books (1/2). There are 10 books with blue covers, 4 science books with blue covers, and 3 fiction books with blue covers. How many books are there on the bookshelf that do not have blue covers and are neither science book... | <gadget id="calculator">12 / 2</gadget>
<output>6</output>
<gadget id="calculator">72 - 12 - 6 - 10</gadget>
<output>44</output>
<gadget id="calculator">44 + 4 + 3</gadget>
<output>51</output>
<result>51</result> | 51 | calc |
aqua_rat__7lVuuKDikGWqcQMr | If f(x)= 2x^2- 3x+5 and g(y)= 2y-4, then g(f(x)) Choices
A) 7x^2+45x+9 B) 9x^2-15x+4 C) 4x^2-6x+6 D) 8x^2-9x+6 E) 9x^2+79x+78 | g(f(x)) = 2(f(x)) -4 =2(2x^2-3x+5)-4 =4x^2-6x+10-4 =4x^2-6x+6 the answer is 4x^2-6x+6
<result>C</result> | C | calc |
aqua_rat__HkYRhKWKWjDSced5 | Find the length of the wire required to go 15 times round a square field containing 69696 m2. Choose the correct choice from the following choices:
A) 15840
B) 3388
C) 2667
D) 8766
E) 66711 | a2 = 69696 => a = 264 4a = 1056 1056 * 15=
<gadget id="calculator">1056 * 15</gadget>
<output>15_840</output>
15840 15840nswer: 15840
<result>A</result> | A | calc |
ape210k__01016291 | Put 15 grams of sugar in 100 grams of clear water, then the sugar is a fraction of the sugar water. | <gadget id="calculator">100 + 15</gadget>
<output>115</output>
<gadget id="calculator">15 / 115</gadget>
<output>3/23 = around 0.130435</output>
<result>3/23 = around 0.130435</result> | 3/23 | calc |
ape210k__00590367 | There is a pile of coal, 3.5 tons have been used, and the ratio of the remaining tons to the tons of coal used is 5:2. How many tons is there in this pile of coal? (3 solutions. Only list, not calculation) | <gadget id="calculator">3.5 * 5</gadget>
<output>17.5</output>
<gadget id="calculator">3.5 * 2</gadget>
<output>7</output>
<gadget id="calculator">17.5 + 7</gadget>
<output>24.5</output>
<gadget id="calculator">24.5 / 2</gadget>
<output>12.25</output>
<result>12.25</result> | 12.25 | calc |
math_qa__g4eQ7vySZLSbWo3O | A driver just filled the car's gas tank with 27 liters of gasohol, a mixture consisting of 5% ethanol and 95% gasoline. If the car runs best on a mixture consisting of 10% ethanol and 90% gasoline, how many liters of ethanol must be added into the gas tank for the car to achieve optimum performance?
Choose the correct ... | <gadget id="calculator">27 * 5</gadget>
<output>135</output>
<gadget id="calculator">100 - 10</gadget>
<output>90</output>
<gadget id="calculator">135 / 90</gadget>
<output>3/2 = around 1.5</output>
<result>B</result> | B | calc |
aqua_rat__OBw6Hn9MIrUN7Gzq | Henry earns $120 a week from his job. His income increased and now makes $180 a week. What is the percent increase? Pick one:
A) 70%
B) 60%
C) 50%
D) 40%
E) 30% | Increase = (60/120)*100 = (1/2)*100=
<gadget id="calculator">(1/2)*100</gadget>
<output>50</output>
50%. 50%
<result>C</result> | C | calc |
ape210k__00573580 | Uncle Li deposited 20,000 yuan in the bank. For two years, if the annual interest rate is calculated at 3.75%, how much yuan can he withdraw from the bank after the maturity date? | <gadget id="calculator">3.75 / 100</gadget>
<output>0.0375</output>
<gadget id="calculator">20_000 * 0.0375 * 2</gadget>
<output>1_500</output>
<gadget id="calculator">20_000 + 1_500</gadget>
<output>21_500</output>
<result>21_500</result> | 21_500 | calc |
ape210k__00493242 | The students participated in the calligraphy competition. Xiaohong wrote 50 characters, Xiaohua wrote 10 more characters than Xiaohong, and Xiaoqiang wrote twice as many characters as Xiaohua. How many more characters did Xiaoqiang write than Xiaohong? | <gadget id="calculator">50 + 10</gadget>
<output>60</output>
<gadget id="calculator">60 * 2</gadget>
<output>120</output>
<gadget id="calculator">120 - 50</gadget>
<output>70</output>
<result>70</result> | 70 | calc |
aqua_rat__6v7l4pU0aPi1a2ZO | A man walked a certain distance south and then the same distance plus 7km due west.He is now 13km from his starting point.What are the distances south and west that he walked? Choose the correct choice from the following options:
A) 5,12 B) 6,12 C) 7,12 D) 5,13 E) 6,13 | If a man walked distance(in km) 'x' towards south & then 'x+7'towards west. Distance from starting point=Hypotenuse of a right triangle with sides x & (x+7) So 13^2=x^2+(x+7)^2 x^2+7x-60=0 or (x+12)(x-5)=0, so x=5 Distance towards west=x+7=5+7=
<gadget id="calculator">5+7</gadget>
<output>12</output>
1... | A | calc |
ape210k__00296010 | There is a rectangular piece of cardboard, 70 cm long and 50 cm wide. If it is to be cut into several squares of the same size without remaining, what is the maximum side length of the cut squares? | <gadget id="calculator">2 * 5</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__00518529 | Two cars, A and B, leave from Chengdu and Chongqing at the same time and meet each other after 3 hours. Car A travels 80 kilometers per hour. When they meet, A passes the midpoint of Chengdu and Chongqing for 30 kilometers. How many kilometers does car B travel per hour? | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">30 * (2/3)</gadget>
<output>20</output>
<gadget id="calculator">80 - 20</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
aqua_rat__5iSfrCTtBgTVwBjN | Mangala completes a piece of work in 18 days, Raju completes the same work in 40 days. If both of them work together, then the number of days required to complete the work is Choose one:
A) 6 days B) 7 days C) 15 days D) 9 days E) 11 days | If A can complete a work in x days and B can complete the same work in y days, then, both of them together can complete the work in x y/ x+ y days. That is, the required No. of days = 18 × 40/48 = 15 days. 15 days
<result>C</result> | C | calc |
ape210k__00192877 | The ratio of a ratio is (2/3), the latter term is 15, what is the former term of the ratio | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(2/3) * 15</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__00238864 | Wang Fang is 12 years old this year. How many years was he born in? | <gadget id="calculator">2_013 - 12</gadget>
<output>2_001</output>
<result>2_001</result> | 2_001 | calc |
ape210k__00845639 | A cuboid oil barrel, the sum of the sides is 48dm, how many liters of oil can this iron barrel hold? | <gadget id="calculator">48 / 12</gadget>
<output>4</output>
<gadget id="calculator">4 * 4 * 4</gadget>
<output>64</output>
<result>64</result> | 64 | calc |
aqua_rat__FUWDwi0MwaiJ3sBV | A man spends Rs. 1500 per month on an average for the first three months, Rs 1550 for next four months and Rs. 1800 per month for the last five months and saves Rs . 5200 a year. What is his average monthly income?
Choices
A) 2075 B) 2100 C) 2200 D) 2300 E) 2400 | Explanation: Total expenditure for the first 3 months = 3 × 1500 = 4500 Total expenditure for 4 months = 4 × 1550 = 6200 Total expenditure for 5 months = 5 × 1800 = 9000 Total expenditure and saving (which is income for one year) = 4500 + 6200 + 9000 + 5200 = Rs. 24900 So, Average monthly income = 24900/... | A | calc |
aqua_rat__QGqnBjg7EZ3SBBPQ | Two cars cover the same distance at the speed of 32 and 64 kmps respectively. Find the distance traveled by them if the slower car takes 1 hour more than the faster car. Choose the correct answer:
A) 73 B) 38 C) 64 D) 83 E) 93 | Explanation: 32(x + 1) = 64x X = 1 32 * 2=
<gadget id="calculator">32 * 2</gadget>
<output>64</output>
64 km Answer: Option 64
<result>C</result> | C | calc |
aqua_rat__IirDkYMMyqnVAExa | A division of a company consists of three men and five women. If two of these employees are randomly selected as representatives of the division, what is the probability that both representatives will be female? Choices.
A) 1/4 B) 2/9 C) 3/11 D) 5/14 E) 6/17 | Total number of ways to select 2 members = 8C2 = 28 Total number of ways to select 2 females = 5C2 = 10 P(two females) = 10/28 = 5/14 The answer is 5/14.
<result>D</result> | D | calc |
aqua_rat__0JqOnKCYCcexipmA | The average of 11 numbers is 10.9. If the average of the first six numbers is 10.5 and that of the last six numbers is 11.4, then the middle number is Choose the correct option
A) 10.5 B) 11.5 C) 12.5 D) 13.5 E) None of these | Explanation: Middle numbers = [(10.5 x 6 + 11.4 x 6) - 10.9 x 11] = (131.4 - 119-9) = 11.5 Answer: 11.5
<result>B</result> | B | calc |
aqua_rat__fPUgwsfnquce8NxM | A, B and C can do a piece of work in 11 days, 20 days and 55 days respectively, working alone. How soon can the work be done if A is assisted by B and C on alternate days?
Pick: A) 7 days B) 8 days C) 9 days D) 10 days E) None of these | (A+B)'s 1 day's work=(1/11+1/20)=31/220; (A+C)'s 1 day's work=(1/11+1/55)=6/55; work done in 2 days=(31/220+6/55)=55/220=1/4 Now, 1/4 work is done by A in 2 days. Whole work will be done in (2*4)=
<gadget id="calculator">(2*4)</gadget>
<output>8</output>
8days. Correct Option: 8 days
<result>B</result> | B | calc |
ape210k__00049704 | The older brother and the younger brother each buy a number of exercise books. If the older brother gives the younger brother 3 copies, they both have the same number of exercise books; How many exercise books did my younger brother buy? | <gadget id="calculator">3 + 6 + 1</gadget>
<output>10</output>
<gadget id="calculator">3 - 1</gadget>
<output>2</output>
<gadget id="calculator">10 / 2</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
aqua_rat__gTOxzohyfImtkrwx | In year Y imported machine tools accounted for 70 percent of total machine-tools sales in the United States, and Japanese imports accounted for 50 percent of the sales of imported machine tools. If the total sales of machine tools imported from Japan that year was x billion dollars, then the total sales of all machine ... | Sales of imported tools = 70% of the total sales = 0.70*{total} = 7{total}/10; Sales of Japanese tools = 50% of the sales of imported tools = 5/10*7{total}/10 = 35{total}/100 Since the sales of of Japanese tools was x, then 35{total}/100 = x -->35 {total} = 100x {total} = 100/35 *x = 2.86 x Answer: 2.86x
<re... | D | calc |
aqua_rat__lgPWheTWEINV7nj8 | A password of a computer used four digits where they are from 0 and 9. What is the probability that the password solely consists of prime numbers and zero?
Options.
A) 1/32
B) 1/16
C) 1/8
D) 2/5
E) 1/2 | We have four digits can be used for password -0,2,3,5,7. Assuming that the numbers can be repeated any number of times in the password, probability of selecting any one of them is 5/10 (out of 10 digits from 0-9) So, 5/10 * 5/10 * 5/10 * 5/10 =1/16 (1/16)
<result>B</result> | B | calc |
ape210k__00981659 | I have 140 yuan, and I spent 62 yuan to buy a schoolbag. I bought 3 more books with the remaining money. How much did I spend on each book? | <gadget id="calculator">140 - 62</gadget>
<output>78</output>
<gadget id="calculator">78 / 3</gadget>
<output>26</output>
<result>26</result> | 26 | calc |
aqua_rat__mUA0Rlo31020aVhB | If x < y < z and y-x > 5, where x is an even integer and y and z are odd integers, what is the least possible value of z - x? Answers:
A) 6 B) 7 C) 8 D) 9 E) 10 | We want to minimize z−xz−x, so we need to maximize xx. Say z=11=oddz=11=odd, then max value of yy will be 9 (as yy is also odd). Now, since y−5>xy−5>x --> 9−5>x9−5>x --> 4>x4>x, then max value of xx is 2 (as xx is even). Hence, the least possible value of z−xz−x is 11-2=
<gadget id="calcula... | D | calc |
math_qa__GSkzr0O8sgqV71aG | The cost price of a radio is Rs.1500 and it was sold for Rs.1290, find the loss %? Choose the correct choice: A) 14 % B) 16 % C) 17 % D) 78 % E) 28 % | <gadget id="calculator">1_500 - 1_290</gadget>
<output>210</output>
<gadget id="calculator">210 / 1_500</gadget>
<output>7/50 = around 0.14</output>
<gadget id="calculator">(7/50) * 100</gadget>
<output>14</output>
<result>A</result> | A | calc |
ape210k__00098158 | How many combinations are there to choose two hosts, one male and one female, from 5 males and 3 females? | <gadget id="calculator">3 * 5</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
ape210k__00058811 | Xiao Ming is going to make a book cover, which is 20 cm long, 14 cm wide, and 21 cm high. What is the minimum square centimeter of cardboard needed to make such a book? (the book cover does not have the right side) | <gadget id="calculator">20 * 14</gadget>
<output>280</output>
<gadget id="calculator">20 * 21</gadget>
<output>420</output>
<gadget id="calculator">280 + 420</gadget>
<output>700</output>
<gadget id="calculator">700 * 2</gadget>
<output>1_400</output>
<gadget id="calculator">14 * 21</gadget>
<output>294</output>
<... | 1_694 | calc |
aqua_rat__0S8jaGxdHyD1F2U2 | The probability that a number selected at random from the first 50 natural numbers is a composite number is -.
Answers
A) 16/11 B) 17/25 C) 15/15 D) 11/11 E) 14/11 | The number of exhaustive events = 50C1 = 50. We have 15 primes from 1 to 50. Number of favorable cases are 34. Required probability = 34/50 = 17/25 Answer: 17/25
<result>B</result> | B | calc |
aqua_rat__j43AjaGT9iEMot89 | Which of the following CANNOT be a value of 8/(x–8)? Choose the correct choice from the following choices: A) -1 B) -1/2 C) 0 D) 2 E) 8 | The question doesn't ask for the value of x here, but for the possible results of the equation. If 8/(x-8) = 0, then the numerator must be 0. But since the numerator is 8, the fraction can not be equal to 0. The answer is 0.
<result>C</result> | C | calc |
mawps__DyAnQmUYwoZlsUhe | William had 189 papaya. George gripped some papaya. Now William has 54 papaya. How many did George grippeds? | <gadget id="calculator">189 - 54</gadget>
<output>135</output>
<result>135</result> | 135 | calc |
ape210k__00401255 | There are some eggs in the basket and outside the basket. If you take an egg from the basket and put it outside the basket, then the number of eggs outside the basket is 1/2 of the number in the basket. If you take an egg from the outside basket and put it in the basket At this time, the number of eggs outside the bask... | <gadget id="calculator">1 + 1</gadget>
<output>2</output>
<gadget id="calculator">1 + 2</gadget>
<output>3</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 + 3</gadget>
<output>4</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25... | 24 | calc |
ape210k__00195923 | On a map with a scale of 1:8000000, the distance between the two places is measured as 1.5 cm. What is the actual distance in kilometers between the two places? | <gadget id="calculator">1 / 8_000_000</gadget>
<output>1/8_000_000 = around 0</output>
<gadget id="calculator">1.5 / (1/8_000_000) / 100_000</gadget>
<output>120</output>
<result>120</result> | 120 | calc |
aqua_rat__eWuOBgwMzHCv4KMX | Mr. Kramer, the losing candidate in a two-candidate election, received 942,568 votes, which was exactly 40 percent of all votes cast. Approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast? Choose the correct answer.
A) 10% B) 12% ... | Lets assume that candidate got 40% votes and total votes is 100. Candidate won = 40 Remaining = 60 To get 50%, candidate requires 10 votes from 100 which is 10% and 10 votes from 60. 10/60 = 1/6 = .166 = 16.67% Which is approx 17%. Hence the answer is 17%
<result>D</result> | D | calc |
aqua_rat__RyLWQOAAqd79D83K | 4623.186 is rounded off to the nearest thousand, hundred, ten and one. Let the results be represented with the alphabets r,s,t,u respectively. which of the statements below is accurate? Choose one:
A) t<s<u<r
B) u<t<s<r
C) s<r<u<t
D) s<u<t<r
E) s<t<u<r | 4623.186.. Nearest thousand 5000..r Nearest hundred 4600..s Nearest ten 4620..t Nearest one 4623..u s<t<u<r The correct option is s<t<u<r
<result>E</result> | E | calc |
ape210k__00535137 | It is known that the ratio of the lateral area to the surface area of a cone is 2:3. Find the cone angle of this cone. | <result>60</result> | 60 | calc |
ape210k__01224439 | There are 240 kilograms of apples in the fruit shop, and the weight of the watermelon is twice that of the apples. The weight of cantaloupe is 45 kg less than half of the combined weight of apple and watermelon. How many kilograms are these fruits in total? | <gadget id="calculator">240 * 2</gadget>
<output>480</output>
<gadget id="calculator">480 + 240</gadget>
<output>720</output>
<gadget id="calculator">720 / 2</gadget>
<output>360</output>
<gadget id="calculator">360 - 45</gadget>
<output>315</output>
<gadget id="calculator">240 + 480 + 315</gadget>
<output>1_035</o... | 1_035 | calc |
ape210k__00220484 | There are four numbers, choose two of them each time, calculate their sum, and then subtract the average of the other two numbers to get the following six numbers: 4, 7, 10, 16, 19, 22. What is the average of the original four numbers? | <gadget id="calculator">4 + 7 + 10 + 16 + 19 + 22</gadget>
<output>78</output>
<gadget id="calculator">12 - 6</gadget>
<output>6</output>
<gadget id="calculator">78 / 6</gadget>
<output>13</output>
<result>13</result> | 13 | calc |
ape210k__00568264 | The circumference of the base of the cylinder is 12.56 cm, the height is 30 cm, what is the volume? | <gadget id="calculator">12.56 / 3.14 / 2</gadget>
<output>2</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">3.14 * 4 * 30</gadget>
<output>376.8</output>
<result>376.8</result> | 376.8 | calc |
aqua_rat__q05K1yOZ7a3SOi7j | Find four consecutive even integers so that the sum of the first two added to twice the sum of the last two is equal to 766. Choose the correct choice from the following
A) 124 ,126, 128, 130
B) 120 ,122 , 124 ,128
C) 120 ,121 , 122 ,123
D) 123 ,125 , 127 ,129
E) None of these | Let x, x + 2, x + 4 and x + 6 be the four integers. The sum of the first two x + (x + 2) twice the sum of the last two is written as 2 ((x + 4) + (x + 6)) = 4 x + 20 sum of the first two added to twice the sum of the last two is equal to 766 is written as x + (x + 2) + 4 x + 20 = 766 Solve for x and find al... | A | calc |
ape210k__00424515 | Xiangyang Farm planted trees on a parallelogram with a base of 240 meters and a height of 80 meters. If each tree covers an area of 8 square meters, how many trees can be planted in total? | <gadget id="calculator">240 * 80</gadget>
<output>19_200</output>
<gadget id="calculator">19_200 / 8</gadget>
<output>2_400</output>
<result>2_400</result> | 2_400 | calc |
aqua_rat__0g3jJmnTHFb48eXe | A farmer is planting a row consisting of 3 unique apple trees and 3 unique orange trees. How many ways are there for the farmer to plant the trees such that no apple tree is adjacent to another apple tree and no orange tree is adjacent to another orange tree? Pick:
A) 72 B) 576 C) 1,024 D) 1,152 E) 10,080 | 2 possible arrangements are possible 72O72O72O72O O72O72O72O72 2 unique type of trees are present consisting of 4 trees each 4 apple trees can be arranged in 4! ways 4 orange trees can be arranged in 4! ways as 2 arrangements are possible total arrangements = 2 *3! * 3! = 72 correct answer option 72
<re... | A | calc |
ape210k__00531817 | The production profit of a certain factory reached 5.4 million yuan last year, and the production profit in the first half of the year accounted for 45% of the annual profit. For the production in the third quarter (5/9), how much is the production profit in the third quarter? | <gadget id="calculator">5 / 9</gadget>
<output>5/9 = around 0.555556</output>
<gadget id="calculator">540 * (5/9)</gadget>
<output>300</output>
<result>300</result> | 300 | calc |
aqua_rat__dGvhSiBPBSVaYS9q | 81*82*83*84*85*86*87*89. What should be in the unit place in this product? Select: A) 0 B) 1 C) 2 D) 3 E) 4 | It should be zero in the unit place in this product. 85*82 will give zero in unit place. 0NSWER:0
<result>A</result> | A | calc |
ape210k__01018223 | How many 0s are there at the end of the product of 560*5? | <result>2</result> | 2 | calc |
ape210k__00794961 | The distance between the two cities of A and B is 736 kilometers. A car starts from city A. After 8 hours, the distance to city B is 112 kilometers. What is the speed of this car? | <gadget id="calculator">736 - 112</gadget>
<output>624</output>
<gadget id="calculator">624 / 8</gadget>
<output>78</output>
<result>78</result> | 78 | calc |
gsm8k__rnOmGKS9EfAlRDhe | In 5 years, Heath will be 3 times as old as Jude. If Heath is 16 years old today, how old is Jude today? | In 5 years, Heath will be 16 + 5 =
<gadget id="calculator">16+5</gadget>
<output>21</output>
21 years old.
In 5 years, Jude will be 21 / 3 =
<gadget id="calculator">21/3</gadget>
<output>7</output>
7 years old.
The difference in their ages is 21 - 7 =
<gadget id="calculator">21-7</gadget>
<output>14</output>
14 year... | 2 | calc |
aqua_rat__J3BnP79Cfv41Sxpe | 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 12?
Choose the correct answer.
A... | i'm not sure i got the question right, if it is what i think it is, then 8 should be the right answer 0,1,2,3,4,5, will not have 2 slip sum of 10, add another (either 6,7,8 or 9) and we'll have a pair with sum 12 8ns:8
<result>A</result> | A | calc |
ape210k__00061050 | Choose 6 different numbers from 1 to 9 and fill in the formula: â–¡/â–¡*(â–¡+â–¡)*(â–¡-â–¡) to maximize the result. So what is the result | <gadget id="calculator">8 / 1</gadget>
<output>8</output>
<gadget id="calculator">7 + 6</gadget>
<output>13</output>
<gadget id="calculator">9 - 2</gadget>
<output>7</output>
<gadget id="calculator">8 * 13 * 7</gadget>
<output>728</output>
<result>728</result> | 728 | calc |
ape210k__01045921 | The car travels 45 kilometers per hour, the speed of the train is 2.8 times the speed of the car, and the speed of the plane is 7.5 times the speed of the train. How many kilometers does the plane fly per hour? | <gadget id="calculator">45 * 2.8 * 7.5</gadget>
<output>945</output>
<result>945</result> | 945 | calc |
ape210k__00014446 | A car travels the whole journey in 6 hours (3/8), how many hours will it take to complete the journey? | <gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">(3/8) / 6</gadget>
<output>1/16 = around 0.0625</output>
<gadget id="calculator">1 / (1/16)</gadget>
<output>16</output>
<result>16</result> | 16 | calc |
ape210k__00126129 | A and B start from A and B respectively at the same time. If they go in the same direction, A will catch up with B in 20 minutes. If they go in the opposite direction, they will meet in 5 minutes. It is known that B travels 60 meters per minute, and how many meters are the distance between A and B. | <gadget id="calculator">60 * 5</gadget>
<output>300</output>
<gadget id="calculator">5 * 60</gadget>
<output>300</output>
<gadget id="calculator">300 + 300</gadget>
<output>600</output>
<gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">(1/20) * 5</gadget>
<output>1/... | 800 | calc |
ape210k__00678219 | The quotient of a formula is 5.6, if the dividend is enlarged by 10 times and the divisor is reduced by 10 times, what is the quotient? | <gadget id="calculator">5.6 * 10 * 10</gadget>
<output>560</output>
<result>560</result> | 560 | calc |
ape210k__00913187 | 4.83 is 2.67 less than 2.5 times of a number, find this number. | <gadget id="calculator">4.83 + 2.67</gadget>
<output>7.5</output>
<gadget id="calculator">7.5 / 2.5</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
aqua_rat__qcQKEtqIEzpYteae | If s and t are positive integers such that s/t = 4.12, which of the following could be the remainder when s is divided by t ? Choices: A) 2 B) 4 C) 8 D) 20 E) 30 | The remainder is 0.12 or 12/100. You can go one step further and say that X/Y=12/100, where X and Y are whole numbers. Plug in all the answer choices for X and see which one makes Y a whole number. One thing that jumps out at me is that A, B, C, and D are all even. E on the other hand is odd. Why? Maybe I'll start pl... | E | calc |
aqua_rat__3dnjVEZiEuTQCiHC | A shopkeeper buys mangoes at the rate of 4 a rupee and sells them at 3 a rupee. Find his net profit or loss percent?
Pick:
A) 33 1/8 % B) 33 7/3 % C) 33 1/3 % D) 38 1/3 % E) 33 3/3 % | The total number of mangoes bought by the shopkeeper be 12. If he buys 4 a rupee, his 33 1/3 %P = 3 He selling at 3 a rupee, his SP = 4 Profit = SP - 33 1/3 %P = 4 - 3=
<gadget id="calculator">4 - 3</gadget>
<output>1</output>
1 Profit Percent= 1/3 * 100 = 33 1/3 % Answer: 33 1/3 %
<result>C</result> | C | calc |
aqua_rat__T0C1QzXSWiJxC9Hy | The cost of 2 chairs and 3 tables is Rs.1300. The cost of 3 chairs and 2 tables is Rs.1200. The cost of each table is more than that of each chair by?
Pick one:
A) 377 B) 268 C) 297 D) 272 E) 100 | 2C + 3T = 1300 --- (1) 3C + 3T = 1200 --- (2) Subtracting 2nd from 1st, we get -C + T = 100 => T - C = 100 Answer: 100
<result>E</result> | E | calc |
aqua_rat__q0VZC2NMb8NgKtFv | A train 100 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is? Pick:
A) 32
B) 545
C) 88
D) 66
E) 09 | S = (100 + 300)/45 = 400/45 * 18/5=
<gadget id="calculator">400/45 * 18/5</gadget>
<output>32</output>
32 32nswer: 32
<result>A</result> | A | calc |
ape210k__00048872 | Divide 3 mooncakes equally among 5 children, how much of the 3 mooncakes each person gets | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<result>1/5 = around 0.2</result> | 1/5 | calc |
aqua_rat__fNhXozcwzmDliApJ | In how many no. between 100 and 1000 exactly one of the digits is 3?
Choose the correct choice from the following answers.
A) 648 B) 512 C) 252 D) 225 E) 26 | 3 scenarios possible 3XY = 1*9*9=
<gadget id="calculator">1*9*9</gadget>
<output>81</output>
81 X3Y (with X ≠≠3 or 0)= 8*1*9=
<gadget id="calculator">8*1*9</gadget>
<output>72</output>
72 Y3X (with Y ≠≠3 or 0)= 8*1*9=
<gadget id="calculator">8*1*9</gadget>
<output>72</output>
72 Total cases possible= 144+81=... | D | calc |
ape210k__00851263 | There are 8 groups in class 31, each group has 6 people, and a total of 96 trees are planted. How many trees are planted by each person on average? | <gadget id="calculator">96 / 8 / 6</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
ape210k__00368741 | Xiaoming and Xiaohua take the buckets to the faucet to receive water. The faucet costs 6 points to fill Xiaoming's bucket, and 4 points to fill Xiaohua's bucket. Now there is only one faucet, whoever gets the water first will have the least total waiting time? What is the minimum time? | <gadget id="calculator">2 * 4</gadget>
<output>8</output>
<gadget id="calculator">8 + 6</gadget>
<output>14</output>
<result>14</result> | 14 | calc |
ape210k__00292222 | The number of girls in the sixth grade class (3/4) is exactly equal to the number of boys (2/3). There are 3 more boys than girls. How many students are there in the sixth grade class? | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">3 * (2/3)</gadget>
<output>2</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(3/4) - (2/3)</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="cal... | 51 | calc |
ape210k__00056166 | Move the decimal point of 48.5 to the left of the highest digit and the number shrinks to how much it is | <gadget id="calculator">1 / 100</gadget>
<output>1/100 = around 0.01</output>
<result>1/100 = around 0.01</result> | 1/100 | calc |
ape210k__00631138 | A school wants to plant 21 palm trees (one must be planted at both ends) beside a 100-meter-long school road. What is the distance between every two palm trees? | <gadget id="calculator">21 - 1</gadget>
<output>20</output>
<gadget id="calculator">100 / 20</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
ape210k__00627255 | The distance from the school to the Children's Palace is 980 meters. Xiao Ming and Xiao Wang set off from the school to the Children's Palace at the same time. Xiao Wang walked 65 meters per minute. Xiao Ming walked for 14 minutes to reach the Children's Palace. How many meters was Xiao Wang away from the Children's Pa... | <gadget id="calculator">65 * 14</gadget>
<output>910</output>
<gadget id="calculator">980 - 910</gadget>
<output>70</output>
<result>70</result> | 70 | calc |
ape210k__00723391 | Take the largest rectangle from a trapezoidal cardboard with an upper base of 3 cm, a lower base of 6 cm, and a height of 4 cm. What is the area of this rectangle in cm**2. | <gadget id="calculator">3 * 4</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
ape210k__00467121 | Master Wang buys gasoline and puts it in barrels A and B, both of which are not full. If barrel A is poured into barrel B, after barrel B is full, there will be 10 liters left in barrel A; Pour everything into barrel A, and barrel A can hold another 20 liters. It is known that the capacity of barrel A is 2.5 times that... | <gadget id="calculator">10 + 20</gadget>
<output>30</output>
<gadget id="calculator">2.5 - 1</gadget>
<output>1.5</output>
<gadget id="calculator">30 / 1.5</gadget>
<output>20</output>
<gadget id="calculator">20 + 10</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
ape210k__00684061 | Multiply two numbers, the product is 120, if one factor remains unchanged, the other factor is multiplied by 3, what is the product | <gadget id="calculator">120 * 3</gadget>
<output>360</output>
<result>360</result> | 360 | calc |
ape210k__00633473 | The area of a triangle is (3/8)m**2, and its base is (5/4)m. What is the height of the base in m? | <gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">5 / 4</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">2 / (5/4)</gadget>
<output>8/5 = around 1.6</output>
<gadget id="calculator">(3/8) * (8/5)</gadget>
<output>3/5 = around 0.6</output>
<result>3... | 3/5 | calc |
ape210k__00465359 | A certain project can be completed by A alone for 40 days, and then by B in 28 days. Now the cooperation between A and B will be completed within 35 days. If A works alone for 30 days first, and then B continues, how many days will B have to work to complete? | <gadget id="calculator">1 / 35</gadget>
<output>1/35 = around 0.028571</output>
<gadget id="calculator">(1/35) * 28</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">1 - (4/5)</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">40 - 28</gadget>
<output>12</output>
<gadget id="calcula... | 42 | calc |
ape210k__00509993 | A garment factory plans to make 660 sets of clothes. It has been done for 3 days, 75 sets are made every day, and the remaining 5 days are finished. How many sets are made per day on average? | <gadget id="calculator">3 * 75</gadget>
<output>225</output>
<gadget id="calculator">660 - 225</gadget>
<output>435</output>
<gadget id="calculator">435 / 5</gadget>
<output>87</output>
<result>87</result> | 87 | calc |
aqua_rat__fMjUX1y1FpzZeiEO | How many times will the digit 5 be written when listing the integers from 1 to 1000?
Choose the most appropriate option:
A) 300
B) 380
C) 180
D) 415
E) 264 | Many approaches are possible. For example: Consider numbers from 0 to 999 written as follows: 1. 000 2. 001 3. 002 4. 003 ... ... ... 1000. 999 We have 1000 numbers. We used 3 digits per number, hence used total of 3*1000=
<gadget id="calculator">3*1000</gadget>
<output>3_000</output>
3000 digits. ... | A | calc |
math_qa__wnEqvmqKbFNCQ4XK | 10 meters of wire is available to fence off a flower bed in the form of a circular sector. What must the radius of the circle in meters be, if we wish to have a flower bed with the greatest possible surface area? Select:
A) 5 / 2 B) 2 √ 5 C) 5 D) 4 √ 2 E) none of these | <gadget id="calculator">10 / 4</gadget>
<output>5/2 = around 2.5</output>
<result>A</result> | A | calc |
ape210k__00173248 | What is the sum of (5/7) plus (3/4) divided by (3/8)? What is the correct column | <gadget id="calculator">5 / 7</gadget>
<output>5/7 = around 0.714286</output>
<gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(3/8) / (3/4)</gadget>
<output>1/2 = around 0.5</output>
<gadget ... | 17/14 | calc |
aqua_rat__oas6PpcZYKY2znCh | A magician has five animals in his magic hat: 3 doves and 2 rabbits. If he pulls two animals out of the hat at random, what is the chance Z that he will have a matched pair? Choose the correct choice from the following:
A) Z=2/5 B) Z=3/5 C) Z=1/5 D) 1/2 E) 7/5 | P(both doves) + P(both rabbits) = p (matched pair) (3/5)*(2/4) + (2/5)*(1/4) = 2/5 Hi How did you get the probability 2/4 and 1/4??? You have 3 doves and 2 rabbits i.e. a total of 5 animals. The probability that you pick a dove on your first pick is 3/5 (since there are 3 doves) The probability that you pick ... | A | calc |
ape210k__00450598 | Among the four numbers 1, (7/12), (7/8), and (5/12), what is the largest number | <result>1</result> | 1 | calc |
aqua_rat__LrU9fzLOZMftjIen | A person can swim in still water at 10 km/h. If the speed of water 4 km/h, how many hours will the man take to swim back against the current for 12 km?
Options:
A) 2 B) 7 C) 5 D) 9 E) 6 | M = 10 S = 4 US =10 - 4=
<gadget id="calculator">10 - 4</gadget>
<output>6</output>
6 D= 12 T = 12/6=
<gadget id="calculator">12/6</gadget>
<output>2</output>
2 2nswer: 2
<result>A</result> | A | calc |
ape210k__00666909 | Use a compass to draw a circle with a circumference of 21.98cm, what is the distance between the two feet of the compass? | <gadget id="calculator">21.98 / 3.14 / 2</gadget>
<output>3.5</output>
<result>3.5</result> | 3.5 | calc |
ape210k__00053864 | A person was born on February 29, 1792 and died on May 20, 1861. How many times did he have his birthday? | <gadget id="calculator">1_861 - 1_792 - 1</gadget>
<output>68</output>
<gadget id="calculator">68 / 4</gadget>
<output>17</output>
<gadget id="calculator">17 - 1</gadget>
<output>16</output>
<result>16</result> | 16 | calc |
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