id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
aqua_rat__aejwmhsDXWvTNueV | A man complete a journey in 40 hours. He travels first half of the journey at the rate of 20 km/hr and second half at the rate of 30 km/hr. Find the total journey in km. Pick:
A) 960 km B) 224 km C) 230 km D) 232 km E) 234 km | 0.5x/20 + 0.5x/30 = 40 --> x/20+ x/30= 80 --> 5x = 60x80 --> x = (60x80)/5 =960 km. 960 kmnswer :960 km
<result>A</result> | A | calc |
ape210k__00440391 | Subtract 4 consecutively from 880, how many times do you need to subtract to get the result of 0? | <gadget id="calculator">880 / 4</gadget>
<output>220</output>
<result>220</result> | 220 | calc |
ape210k__00939771 | Teams A and B jointly build a 480-meter-long road. After 6 days of repairing, there are still 60 meters left to be repaired. Team A repairs 38.5 meters every day, how many meters does Team B repair every day? | <gadget id="calculator">480 - 60</gadget>
<output>420</output>
<gadget id="calculator">420 / 6</gadget>
<output>70</output>
<gadget id="calculator">70 - 38.5</gadget>
<output>31.5</output>
<result>31.5</result> | 31.5 | calc |
gsm8k__1haCR5iEgW72eSqE | A pole is 20 meters long. It got cut in a way that left it 30% shorter. How long is the pole? | The cut-away part of the pole is 30/100 * 20 =
<gadget id="calculator">30/100*20</gadget>
<output>6</output>
6 meters long.
So the pole is left at the length of 20 - 6 =
<gadget id="calculator">20-6</gadget>
<output>14</output>
14 meters.
<result>14</result> | 14 | calc |
ape210k__00502451 | Huimin stores stipulate that there are discount cards that can give you a 20% discount. I bought a toy with the discount card and saved 9.6 yuan. How much does this toy cost? | <gadget id="calculator">80 / 100</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">9.6 / (1/5)</gadget>
<output>48</output>
<result>48</result> | 48 | calc |
ape210k__00521540 | An engineering team installed 300 meters of water pipes in the first 5 days. According to this speed, the installation can be completed in 20 days. How long is this water pipe in total? | <gadget id="calculator">300 / 5</gadget>
<output>60</output>
<gadget id="calculator">60 * 5</gadget>
<output>300</output>
<gadget id="calculator">60 * 20</gadget>
<output>1_200</output>
<gadget id="calculator">300 + 1_200</gadget>
<output>1_500</output>
<result>1_500</result> | 1_500 | calc |
ape210k__00878653 | The body length of a whale is 35 meters, and the head length accounts for 2/5 of the total length. How many meters is the head length of this whale? | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">35 * (2/5)</gadget>
<output>14</output>
<result>14</result> | 14 | calc |
ape210k__00035962 | How many 0s are there at the end of the 186*500 product? | <result>3</result> | 3 | calc |
ape210k__00158868 | The lateral area of a cylinder is 75.36 square decimeters, and its height is 4 decimeters, so what is the area of its lower base in square decimeters | <gadget id="calculator">75.36 / 4</gadget>
<output>18.84</output>
<gadget id="calculator">2 * 3.14</gadget>
<output>6.28</output>
<gadget id="calculator">18.84 / 6.28</gadget>
<output>3</output>
<gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">3.14 * 9</gadget>
<output>28.26</outpu... | 28.26 | calc |
ape210k__00663513 | If a certain brand of TV is sold at a 10% discount, it can make a profit of 120 yuan, and if it is sold at a 15% discount, it will make a loss of 120 yuan. What is the price of the TV set? | <gadget id="calculator">120 + 120</gadget>
<output>240</output>
<gadget id="calculator">90 / 100</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">85 / 100</gadget>
<output>17/20 = around 0.85</output>
<gadget id="calculator">(9/10) - (17/20)</gadget>
<output>1/20 = around 0.05</output>
<gadget id... | 4_800 | calc |
aqua_rat__RvRjTWho3S3At3SE | Which of the following is the product of two integers whose sum is 18? Select:
A) -42 B) -28 C) 12 D) 26 E) 32 | I solved this Question like this, Let the two integers are x,y x+y=18 (Given) xy=? (Needed) instead of solving this algebraically, Test the Answer choices E. 32 Do the factorization : (1,32)----> There sum is not 18--eliminate (2,16)---->There sum is 18 Bingo!!!! So, my answer is E... As the ans... | E | calc |
ape210k__00199258 | project can be completed by team A in 15 days, and by team B in 10 days. Now, after a few days, team A will take over from team B to complete the remaining tasks. It is known that team A will do the rest of the work B spent 3 extra days, how many days did B work alone? (column solution) | <gadget id="calculator">3 / 15</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 / 15</gadget>
<output>1/15 = around 0.066667</output>
<gadget id... | 24/5 | calc |
aqua_rat__Z4UJZqnTG61lW4dt | Two numbers A and B are such that the sum of 5% of A and 4% of B is two-third of the sum of 6% of A and 8% of B. Find the ratio of A : B.
Pick:
A) 2:1
B) 1:2
C) 1:1
D) 4:3
E) 3:2 | Explanation: 5% of A + 4% of B =2/3(6% of A + 8% of B) A/B=4/3 A : B = 4 : 3 ANSWER IS 4:3
<result>D</result> | D | calc |
ape210k__00575500 | A cuboid glass tank is 8dm long, 4dm wide, 6dm high, and the water depth is 3.8dm. How high will the water in the tank rise if a cube of iron with side length 4dm is thrown in? | <gadget id="calculator">4 * 4 * 4</gadget>
<output>64</output>
<gadget id="calculator">8 * 4</gadget>
<output>32</output>
<gadget id="calculator">64 / 32</gadget>
<output>2</output>
<gadget id="calculator">2 + 3.8</gadget>
<output>5.8</output>
<result>5.8</result> | 5.8 | calc |
ape210k__00451274 | Each basket of apples is 35 kg, and each basket of pears is 30 kg. The kindergarten bought 3 baskets of apples and 3 baskets of pears. How many kilograms are there more apples than pears? | <gadget id="calculator">35 * 3</gadget>
<output>105</output>
<gadget id="calculator">30 * 3</gadget>
<output>90</output>
<gadget id="calculator">105 - 90</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
ape210k__00012421 | If the diameter of a circle is 10 centimeters, what is its area in square centimetres? | <gadget id="calculator">10 / 2</gadget>
<output>5</output>
<gadget id="calculator">5 ** 2</gadget>
<output>25</output>
<gadget id="calculator">3.14 * 25</gadget>
<output>78.5</output>
<result>78.5</result> | 78.5 | calc |
ape210k__00627480 | A piece of cake, if mom and dad each eat 1/5 of it, how much of the cake can Xiaoqiao eat? | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5) - (1/5)</gadget>
<output>3/5 = around 0.6</output>
<result>3/5 = around 0.6</result> | 3/5 | calc |
ape210k__00847745 | The 90th anniversary of the founding of the Communist Party of China, a total of 90 students from the fifth and sixth grades of a certain school participated, and the number of participants in the fifth grade was 4/5 of the number of participants in the sixth grade. How many students in the fifth grade participated in ... | <gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">1 + (4/5)</gadget>
<output>9/5 = around 1.8</output>
<gadget id="calculator">90 / (9/5)</gadget>
<output>50</output>
<gadget id="calculator">90 - 50</gadget>
<output>40</output>
<result>40</result> | 40 | calc |
ape210k__00198081 | 437+561=how many | <gadget id="calculator">437 + 561</gadget>
<output>998</output>
<result>998</result> | 998 | calc |
ape210k__00558847 | There are 2,700 parts in a batch, and they are divided between A and B according to the ratio of 4:5. How many parts should B make? | <gadget id="calculator">4 + 5</gadget>
<output>9</output>
<gadget id="calculator">5 / 9</gadget>
<output>5/9 = around 0.555556</output>
<gadget id="calculator">2_700 * (5/9)</gadget>
<output>1_500</output>
<result>1_500</result> | 1_500 | calc |
aqua_rat__lE46gzfw6NLX28vs | From the integer n, if n*n*n is even, then what is true from below options? Select the correct option:
A) n is odd
B) n*n is odd
C) n is odd and n*n is even
D) n is even
E) None | n is even Option n is even
<result>D</result> | D | calc |
ape210k__00228448 | A class of 48 students visited the popular science exhibition. The ticket office stipulates that each ticket for 1 person is 10 yuan, and each ticket for 10 people is 70 yuan. How much do they need at least. | <gadget id="calculator">70 * 5</gadget>
<output>350</output>
<result>350</result> | 350 | calc |
ape210k__00277836 | Xiaoming's family participates in the property insurance of the insurance company. The total amount of property participating in the insurance is 42,000 yuan. If the annual insurance premium rate is 1.5%, how much is the annual insurance premium that Xiaoming's family should pay. | <gadget id="calculator">1.5 / 100</gadget>
<output>0.015</output>
<gadget id="calculator">42_000 * 0.015</gadget>
<output>630</output>
<result>630</result> | 630 | calc |
ape210k__00251644 | A square wooden frame with a side length of 4 decimeters is drawn into a parallelogram. What is the perimeter of the parallelogram? | <gadget id="calculator">4 * 4</gadget>
<output>16</output>
<result>16</result> | 16 | calc |
ape210k__01004911 | Xiaolan deposits 2,000 yuan of New Year's money in the bank for 2 years, and the annual interest rate is 3.25%. How much interest can she get when it matures? | <gadget id="calculator">3.25 / 100</gadget>
<output>0.0325</output>
<gadget id="calculator">2_000 * 0.0325 * 2</gadget>
<output>130</output>
<result>130</result> | 130 | calc |
ape210k__00173539 | A conical sand pile has a base circumference of 31.4m and a height of 1.5m. Use this pile of sand to pave a road with a length of 125m and a thickness of 10cm. How many meters can be paved? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">31.4 / 3.14 / 2</gadget>
<output>5</output>
<gadget id="calculator">5 ** 2</gadget>
<output>25</output>
<gadget id="calculator">(1/3) * 3.14 * 25 * 1.5</gadget>
<output>39.25</output>
<gadget id="calculator">125 * ... | 3.14 | calc |
aqua_rat__7paAp411WQrpbW9q | If x and y are positive numbers and z = xy^2, a 50 percent increase in x and a 20 percent decrease in y would result in which of the following changes in z?
Choose the correct choice from the following choices
A) A decrease of 4% B) A decrease of 14% C) An increase of 4% D) An increase of 20% E) An increase of 30% | z= x*y^2 Now , since x increases by 50 % and y decreases by 20 % z'=(3/2)x * (8/10)(8/10)y^2 = 192/200 * x*y^2 = 96/100 * x*y^2 = 96/100 * z a decrease in 4 % A decrease of 4%nswer A decrease of 4%
<result>A</result> | A | calc |
ape210k__01176557 | A section of the road is (7/8) kilometers long. The worker uncle repaired the full length (1/4) on the first day, and the full length (2/5) on the second day, and the rest on the third day, and the third day. How much is the total length. | <gadget id="calculator">7 / 15</gadget>
<output>7/15 = around 0.466667</output>
<result>7/15 = around 0.466667</result> | 7/15 | calc |
ape210k__00079349 | Pour 2 liters of water from container A into container B. At this time, container A and container B have the same amount of water. It turns out that container A holds more water than container B by how many liters. | <gadget id="calculator">2 * 2</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
aqua_rat__48eitm17jLkJHC3l | A survey was sent to 80 customers, 12 of whom responded. Then the survey was redesigned and sent to another 63 customers, 10 of whom responded. By approximately what percent did the response rate increase from the original survey to the redesigned survey?
Choose the correct answer:
A) 2% B) 5% C) 14% D) 28% E) 63% | Rate of first survey = 12/80 Rate of second survey = 10/63 % Response rate increase (10/63-12/80)/(12/80) = 5% Answer is 5% = 5%
<result>B</result> | B | calc |
aqua_rat__GnmS7kKaZb9OUd3t | A 270 metres long bullet train running at the speed of 120 kmph crosses another bullet train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other bullet train ? Choose the correct option: A) 226 B) 230 C) 430 D) 310 E) 260 | 230 230 Relative speed = (120 + 80) km/hr = 200 x 5/18 = 500/9 m/sec Then, (x+270)/9 = 500/9 --> x + 270 = 500 --> x = 230.
<result>B</result> | B | calc |
aqua_rat__LDHguq1SRpsEW0gQ | There is 66x33m rectangular area. Ram is 11/8 times faster than Krishna. Both of them started walking at opposite ends and they met at some point then, Ram said "See you in the other end" Then they continued walking. After some time Ram thought he will have tea so he turned back walked back 15 meters then he changed hi... | let x be the distance between the point they first met total time taken by the two willbe equal so (x+30)*8/11 = (198-x) x= 102m distance travelled by krishna= 198-102=
<gadget id="calculator">198-102</gadget>
<output>96</output>
96m ANSWER:96
<result>D</result> | D | calc |
ape210k__01067107 | There are 10 2s and 10 5s, how many values can be formed with these. | <gadget id="calculator">5 * 10</gadget>
<output>50</output>
<gadget id="calculator">2 * 10</gadget>
<output>20</output>
<gadget id="calculator">20 - 4</gadget>
<output>16</output>
<gadget id="calculator">50 + 16</gadget>
<output>66</output>
<result>66</result> | 66 | calc |
aqua_rat__ol23UbA30o1Ulq9t | If x is a positive, single-digit integer such that 4/3*x, 2x, x, and x + 2, and 3x – 2 form a non-ordered list of consecutive integers, which of the following could be the median of that list? Choose the correct choice.
A) 3 B) 4 C) 5 D) 6 E) 8 | Soln: Given that x is positive and single digit and based on 4/3*x being one of them, Assume x as 3 this gives the list as 4, 6, 3, 5, 7 when ordered, 3,4,5,6,7 hence median is 5 Answer is 5
<result>C</result> | C | calc |
ape210k__00063026 | In a party, 10 students shake hands, if every two people shake hands once, how many times will they shake hands in total? | <gadget id="calculator">10 - 1</gadget>
<output>9</output>
<gadget id="calculator">10 / 2</gadget>
<output>5</output>
<gadget id="calculator">9 * 5</gadget>
<output>45</output>
<result>45</result> | 45 | calc |
ape210k__00852453 | The sum of the lengths of the sides of a cuboid is 96 cm, the length is 12 cm, the width is 7 cm, and the height is in cm. | <gadget id="calculator">96 / 4</gadget>
<output>24</output>
<gadget id="calculator">12 + 7</gadget>
<output>19</output>
<gadget id="calculator">24 - 19</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
ape210k__00718189 | Use two squares with a side length of 2 cm to form a rectangle. What is the area of the rectangle? | <gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">4 * 2</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
aqua_rat__OARCfCJi1b06QPjI | A certain city with a population of 84,000 is to be divided into 11 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district What is the minimum possible population that the least populated district could have ? Pick one.
A) a) 10,700
B) b... | Let x = number of people in smallest district x*1.1 = number of people in largest district x will be minimised when the number of people in largest district is maximised 10*x*1.1 = 11x = total number of people in other districts So we have 11x + x = 84k x = 7,000 Answer : c) 7,000
<result>C</result> | C | calc |
aqua_rat__NSKmlYCnnRKR8sn8 | The average of four positive integers is 69. The highest integer is 93 and the least integer is 39. The difference between the remaining two integers is 28. Which of the following integers is the higher of the remaining two integers? Choose the most appropriate option: A) 76 B) 86 C) 56 D) 45 E) 17 | Let the four integers be A, B, C and D where A > B > C > D. (A + B + C + D)/4 = 69 => A + B + C + D = 276 ---> (1) A = 93, D = 39 and B - C = 28 (1) => B + C = 276 - (A + D) = 276 - 132=
<gadget id="calculator">276 - 132</gadget>
<output>144</output>
144. 86 + 86 -28=
<gadget id="calculator"... | B | calc |
aqua_rat__s6pVpNsawvSLpo6f | P is three times as fast as Q and working together, they can complete a work in 12 days. In how many days can Q alone complete the work? Choose the correct choice from the following options:
A) 11 days
B) 16 days
C) 13 days
D) 15 days
E) 19 days | B 16 days P = 3Q P + Q = 3Q + Q = 4Q These 4Q people can do the work in 12 days, which means Q can do the work in 48 days. Hence, P can do the work in 16 days.
<result>B</result> | B | calc |
gsm8k__Hu2m4w8ObqdIiUDP | Robert and Teddy are planning to buy snacks for their friends. Robert orders five boxes of pizza at $10 each box and ten cans of soft drinks at $2 each. Teddy buys six hamburgers at $3 each and an additional ten cans of soft drinks. How much do they spend in all? | Five boxes of pizza cost 5 x $10 = $
<gadget id="calculator">5*10</gadget>
<output>50</output>
50.
Ten cans of soft drinks cost 10 x $2 = $
<gadget id="calculator">10*2</gadget>
<output>20</output>
20.
So, Robert spends $50 + $20 = $
<gadget id="calculator">50+20</gadget>
<output>70</output>
70.
Six hamburgers cost 6 x... | 106 | calc |
ape210k__01077683 | Use 120 cm long iron wire to form a rectangle. If the length is 42 cm, how many cm should be the width? (solution by equation) | <gadget id="calculator">42 * 2</gadget>
<output>84</output>
<gadget id="calculator">120 - 84</gadget>
<output>36</output>
<gadget id="calculator">36 / 2</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
ape210k__00983369 | Make 10 cylindrical ventilation pipes, the circumference of the bottom surface is 30 cm, and the length is 1.2 meters. How many square meters of iron sheet is needed at least? | <gadget id="calculator">10 / 10_000</gadget>
<output>1/1_000 = around 0.001</output>
<gadget id="calculator">30 * 1.2 * 100 * (1/1_000)</gadget>
<output>3.6</output>
<result>3.6</result> | 3.6 | calc |
ape210k__00616353 | The two inner terms of a ratio are (1/8) and 8, what is the product of the two outer terms. | <gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">(1/8) * 8</gadget>
<output>1</output>
<result>1</result> | 1 | calc |
ape210k__01222241 | For a fraction, the sum of the numerator and denominator is 200, which equals (2/3) after division. What is the original score? | <gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">200 * (2/5)</gadget>
<output>80</output>
<gadget id="calculator">200 - 80</gadget>
<output>120</output>
<gadget id="calculator">(2/5) / 120</gadget>
<output>1/30... | 2/3 | calc |
ape210k__00921763 | When two numbers are divided, the divisor is 32, the quotient is 14, and the remainder is 8. What is the dividend? | <gadget id="calculator">14 * 32</gadget>
<output>448</output>
<gadget id="calculator">448 + 8</gadget>
<output>456</output>
<result>456</result> | 456 | calc |
aqua_rat__vnWx4ZbRchSR1Qz8 | A circle in the coordinate plane passes through points (-3, -2) and (1, 3). What is the smallest possible area of that circle?
Choose the correct choice from the following.
A) 10.5π
B) 26π
C) 262√π
D) 52π
E) 64π | The distance between the two points is sqrt(41). radius = sqrt(41)/2 Area= pi*(sqrt(41)/2)^2 A. 10.5π
<result>A</result> | A | calc |
ape210k__01224107 | The school bought back 3,000 storybooks, which is 1/2 more than the textbooks bought back. How many copies of these two kinds of books did the school buy back? | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 + (1/2)</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">3_000 / (3/2)</gadget>
<output>2_000</output>
<gadget id="calculator">2_000 + 3_000</gadget>
<output>5_000</output>
<result>5_000</result> | 5_000 | calc |
ape210k__01220145 | The rectangle is 28cm long and 12cm wide. Divide it into several small squares, nothing left. How many can be divided into at least? | <gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">28 / 4</gadget>
<output>7</output>
<gadget id="calculator">12 / 4</gadget>
<output>3</output>
<gadget id="calculator">7 * 3</gadget>
<output>21</output>
<result>21</result> | 21 | calc |
ape210k__00317594 | Use iron wire to make a cuboid frame with a length of 10 cm, a width of 5 cm, and a height of 3 cm. What is the minimum length of wire required? Paste a layer of colored paper outside this cuboid frame, how many square centimeters of colored paper is needed at least? | <gadget id="calculator">50 + 30 + 15</gadget>
<output>95</output>
<gadget id="calculator">95 * 2</gadget>
<output>190</output>
<result>190</result> | 190 | calc |
ape210k__00522311 | The 20th FIFA World Cup was held in Brazil. The standard world football field stipulated by FIFA is 105 meters long and 68 meters wide. What is the area in square meters? | <gadget id="calculator">105 * 68</gadget>
<output>7_140</output>
<result>7_140</result> | 7_140 | calc |
ape210k__00942217 | The road repair team wanted to repair a road. The original plan was to repair 0.25 kilometers per day, but the actual repair was 0.05 kilometers more than the original plan every day. After 10 days, there was still 0.8 kilometers left unrepaired. How long is this road? | <gadget id="calculator">0.25 + 0.05</gadget>
<output>0.3</output>
<gadget id="calculator">0.3 * 10</gadget>
<output>3</output>
<gadget id="calculator">3 + 0.8</gadget>
<output>3.8</output>
<result>3.8</result> | 3.8 | calc |
ape210k__00571563 | A square with a side length of 12 cm, draw the largest circle inside, subtract the inner circle, what are the perimeter and area of the remaining part? | <gadget id="calculator">12 * 12</gadget>
<output>144</output>
<gadget id="calculator">12 / 2</gadget>
<output>6</output>
<gadget id="calculator">6 ** 2</gadget>
<output>36</output>
<gadget id="calculator">3.14 * 36</gadget>
<output>113.04</output>
<gadget id="calculator">144 - 113.04</gadget>
<output>30.96</output>... | 30.96 | calc |
aqua_rat__rMFCvlY6ScEWqjOJ | A farmer had d animals, all of which the farmer bought for the same price. The farmer decided to sell the animals. 18 of the animals were sold at a profit of 10% each while the rest were sold at a loss of 20% each. Overall, the farmer made neither a profit nor a loss. Which of the following is equal to d? Choose the c... | Let P be the price the farmer paid for each animal. The total profit on the 18 animals is 18*0.1*P. The total loss on the other (d-18) animals is (d-18)*0.2*P. (d-18)*0.2*P = 18*0.1*P 0.2*d = 1.8 + 3.6 d = 27 The answer is 27.
<result>C</result> | C | calc |
aqua_rat__jJLhxdX1s56iFvHv | If you divide 7^102 by 5, which remainder do you get? Choose the correct choice from the following choices.
A) 0 B) 1 C) 2 D) 3 E) 4 | The units digit of 7^1 is 7. The units digit of 7^2 is 9. The units digit of 7^3 is 3. The units digit of 7^4 is 1. The units digit of 7^5 is 7. etc... The units digit of 7^n repeats in blocks of 4: {7, 9, 3, 1} The remainder of 102/4 is 2. So the units digit of 7^102 is 9. The remainder of 7^102 / 5 ... | E | calc |
ape210k__00365716 | The price of a pair of men's trousers is 76 yuan, and the price of a pair of men's tops is twice that of a pair of trousers. How much does it cost to buy a set of such clothes? | <gadget id="calculator">76 * 2</gadget>
<output>152</output>
<gadget id="calculator">152 + 76</gadget>
<output>228</output>
<result>228</result> | 228 | calc |
ape210k__00471001 | 4 road construction teams build roads at the same time, each team builds 125 meters per day, and can complete the task in 54 days. How many kilometers is this road? | <gadget id="calculator">54 / 1_000</gadget>
<output>27/500 = around 0.054</output>
<gadget id="calculator">125 * 4 * (27/500)</gadget>
<output>27</output>
<result>27</result> | 27 | calc |
ape210k__01070709 | barrel of gasoline, 30% of the total is used for the first time, and 20% of the total is used for the second time, leaving 50 kg. How many kilograms does this barrel of gasoline weigh? | <gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (3/10) - (1/5)</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">50 / (1/2)</gadget>
<output>100</output>
<result>100<... | 100 | calc |
aqua_rat__rTuJq4N5l1Y9tkZt | The average height of 35 boys in a class was calculated as 183cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places? Select.
A) 187.8... | Calculated average height of 35 boys = 183 cm. Wrong total height of 35 boys = 183 * 35 cm. This was as a result of an actual height of 106 cm being wrongly written as 166 cm. Correct total height of 35 boys = 183 cm - (166 cm - 106 cm)/35 = 183 cm - 60 /35 cm = 183 cm - 1.71 cm = 181.29 cm. Answer: 181.29 cm
<... | B | calc |
aqua_rat__RbufUtYS9MsSbofw | John Purchased 1300 large bottles at $1.89 per bottle and 750 small bottles at $1.38 per bottle. What was the approximate average price paid per bottle? Pick one.
A) $1.63
B) $1.64
C) $1.68
D) $1.70
E) $1.76 | (1300*1.89+750*1.38)/(1300+750) =~1.70 Option ($1.70)
<result>D</result> | D | calc |
aqua_rat__p8Vhs3oPFs3lDZOl | Which of the following will divide evenly into 347,456,520? Answers
A) 3 B) 9 C) 11 D) 13 E) none of these | Rule: 3: Sum of the digits should be divisible by 3 Given number : 3+4+7+4+5+6+5+2+0=
<gadget id="calculator">3+4+7+4+5+6+5+2+0</gadget>
<output>36</output>
36 which is divisible by 3 3nswer: 3
<result>A</result> | A | calc |
ape210k__00496438 | A book with 400 pages, Xiaoli planned to finish it in 8 days, but actually read 10 pages less every day, how many days did she actually finish it? | <gadget id="calculator">400 / 8</gadget>
<output>50</output>
<gadget id="calculator">50 - 10</gadget>
<output>40</output>
<gadget id="calculator">400 / 40</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__00259396 | Cut a rope 7 times and cut it into small pieces of the same length, 2 pieces of which are the number of this rope | <gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">2 * (1/8)</gadget>
<output>1/4 = around 0.25</output>
<result>1/4 = around 0.25</result> | 1/4 | calc |
ape210k__00918009 | Xiao Cong, Xiao Lin, and Xiao Jun came to the school infirmary at the same time, and there was only one doctor in the infirmary. It takes 3 minutes for Xiao Cong to get an injection, 6 minutes for Xiao Lin to change the gauze, and 2 minutes for Xiao Jun to apply the lotion. To minimize the total waiting time of the thr... | <gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">6 + 6 + 6</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
aqua_rat__zbbIYknh6Rodprdz | a,b,c weighted separately 1st like a, b, c , then a & b, then b & c ,then c & a at last a & b & c, the last weight was 167,then what will be the average weight of the 7 reading?
Choose the correct choice from the following options:
A) 95 B) 95.42 C) 95.45 D) 94 E) 93 | The sum of 7 weights = weights of[a+b+c+(a+b)+(b+c)+(c+a)+(a+b+c)]= weights of[4*(a+b+c)=4*167=
<gadget id="calculator">4*167</gadget>
<output>668</output>
668 Therefore The average weight of 7 readings is 668/7=95.428 ANSWER:95.42
<result>B</result> | B | calc |
ape210k__00287111 | In the greening campus activities, the boys in Class 1 of the Sixth Class planted 50 trees, and the girls planted 40 trees. Girls planted fewer trees than boys. | <gadget id="calculator">50 - 40</gadget>
<output>10</output>
<gadget id="calculator">10 / 50</gadget>
<output>1/5 = around 0.2</output>
<result>1/5 = around 0.2</result> | 1/5 | calc |
ape210k__01148701 | A 32-meter-long bamboo pole is sawed into 4-meter-long pieces, and it takes 3 minutes to saw each time. How many minutes does it take in total? | <gadget id="calculator">32 / 4</gadget>
<output>8</output>
<gadget id="calculator">8 - 1</gadget>
<output>7</output>
<gadget id="calculator">7 * 3</gadget>
<output>21</output>
<result>21</result> | 21 | calc |
ape210k__00235982 | Put 3 cubes of equal size in a row to form a cuboid. The surface area of this cuboid is equal to the surface area of the original 3 cubes. | <gadget id="calculator">1 * 6 * 3</gadget>
<output>18</output>
<gadget id="calculator">18 - 4</gadget>
<output>14</output>
<gadget id="calculator">14 / 18</gadget>
<output>7/9 = around 0.777778</output>
<result>7/9 = around 0.777778</result> | 7/9 | calc |
ape210k__00132893 | In the sequence 2, 9, 23, 44, 72..., what is the number immediately after 72 | <gadget id="calculator">6 - 1</gadget>
<output>5</output>
<gadget id="calculator">7 * 5</gadget>
<output>35</output>
<gadget id="calculator">72 + 35</gadget>
<output>107</output>
<result>107</result> | 107 | calc |
ape210k__00603256 | Mr. Wang deposits 20,000 yuan in the bank for two years, with an annual interest rate of 2.79%. How much is the real principal and interest after maturity? (Deduct 5% interest tax) | <gadget id="calculator">2 * 10_000</gadget>
<output>20_000</output>
<gadget id="calculator">2.79 / 100</gadget>
<output>0.0279</output>
<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... | 21_060.2 | calc |
aqua_rat__yARBoF4NlxAzHJgA | The current birth rate per thousand is 32, where as corresponding death rate is 11 per thousand. The net growth rate in terms of population increase in percent is given by? Choose the correct choice
A) 2.1% B) 3.2% C) 3.9% D) 4% E) 5.1% | Net growth on 1000 = 32-11=
<gadget id="calculator">32-11</gadget>
<output>21</output>
21 Net growth on 100= 21*100/1000=
<gadget id="calculator">21*100/1000</gadget>
<output>21/10 = around 2.1</output>
2.1% 2.1%nswer is 2.1%
<result>A</result> | A | calc |
ape210k__00208779 | The original price of the camera is 825 yuan, and the current price is 768 yuan, how much cheaper. | <gadget id="calculator">825 - 768</gadget>
<output>57</output>
<result>57</result> | 57 | calc |
ape210k__00229470 | In order to encourage residents to save water, the water supply company stipulates the calculation method of water fee as follows: if the monthly water consumption does not exceed 10 tons, it will be charged at 3.2 yuan per ton; for the part exceeding 10 tons, it will be charged at 5 yuan per ton. Xiaohong's family pai... | <gadget id="calculator">5 * 10</gadget>
<output>50</output>
<gadget id="calculator">10 * 3.2</gadget>
<output>32</output>
<gadget id="calculator">50 - 32</gadget>
<output>18</output>
<gadget id="calculator">5 - 4</gadget>
<output>1</output>
<gadget id="calculator">18 / 1</gadget>
<output>18</output>
<result>18</re... | 18 | calc |
ape210k__00024366 | The store shipped in a total of 845 teddy bears and sold 537. The unit price of the sold teddy bears is 16 yuan, how much is the total income? | <gadget id="calculator">537 * 16</gadget>
<output>8_592</output>
<result>8_592</result> | 8_592 | calc |
aqua_rat__LVt6zPvsF56HnA85 | If the selling price of 50 articles is equal to the cost price of 20 articles, then the loss or gain percent is: Choose the correct choice from the following answers
A) 45% B) 23% C) 20% D) 60% E) 56% | C.P. of each article be Re. 1. Then, C.P. of 50 articles = Rs. 50; S.P. of 50 articles = Rs. 20. Loss % = 30/50 * 100=
<gadget id="calculator">30/50 * 100</gadget>
<output>60</output>
60% ANSWER 60%
<result>D</result> | D | calc |
ape210k__00589767 | A rectangular vegetable field has a perimeter of 36 meters and a ratio of length to width of 1:2. What is the area of the vegetable field in square meters? | <gadget id="calculator">36 / 2</gadget>
<output>18</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">18 * (1/3)</gadget>
<output>6</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = arou... | 72 | calc |
ape210k__00474832 | When multiplying two numbers not equal to zero, if one of the numbers is multiplied by 5, what is the other multiplier to keep the product constant? | <result>5</result> | 5 | calc |
aqua_rat__u1axMAYKMscn3xVc | Salesperson A's compensation for any week is $210 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation? Answers:
A) $35... | 210+0.06(x-1000) = 0.08x 0.02x = 150 x = $7,500 The answer is $7500.
<result>C</result> | C | calc |
aqua_rat__vtgIsgVtaaaHMhOH | How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm? Choose the correct choice from the following: A) 1245 B) 4175 C) 5412 D) 4712 E) 6400 | Number of bricks = Volume of the wall/Volume of 1 brick = (800 x 600 x 22.5) /(25 x 11.25 x 6)=6400. Ans: 6400
<result>E</result> | E | calc |
ape210k__00215106 | If two cubes with side lengths of 1 cm are put together to form a cuboid, the surface area is reduced by how many square centimeters. | <gadget id="calculator">1 * 1 * 2</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
ape210k__01080687 | Calculation: 1+3+5+...+2015+2017+2015+2013+...+5+3+1. | <gadget id="calculator">1 + 2_017</gadget>
<output>2_018</output>
<gadget id="calculator">1_009 / 2</gadget>
<output>1_009/2 = around 504.5</output>
<gadget id="calculator">2_018 * (1_009/2)</gadget>
<output>1_018_081</output>
<gadget id="calculator">1 + 2_015</gadget>
<output>2_016</output>
<gadget id="calculator"... | 2_034_145 | calc |
ape210k__00251240 | On 100 cards, number 1 to 100 without repetition. At least how many cards must be drawn at random to ensure that the product of the numbers on the drawn cards can be divisible by 12. | <gadget id="calculator">100 - 33</gadget>
<output>67</output>
<gadget id="calculator">67 + 1</gadget>
<output>68</output>
<result>68</result> | 68 | calc |
ape210k__00189130 | If the length of a side of a cube is 1.5 decimeters, what is the sum of the lengths of all its sides? | <gadget id="calculator">1.5 * 12</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
ape210k__01129311 | The school library bought back 130 science and technology books and 210 literature and art books. The story books bought back were three times the sum of science and literature books. How many story books were bought back? | <gadget id="calculator">130 + 210</gadget>
<output>340</output>
<gadget id="calculator">340 * 3</gadget>
<output>1_020</output>
<result>1_020</result> | 1_020 | calc |
ape210k__00527277 | A coin is tossed 9 times, 4 heads and 5 tails, what is the probability of getting heads on the 10th toss? | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<result>1/2 = around 0.5</result> | 1/2 | calc |
ape210k__00269655 | If A and B work together to process several parts, it takes 5 hours to complete. If A alone takes 10 hours to complete, how much time does B need to do alone? | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(1/5) - (1/10)</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 / (1/10)</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__00066113 | There are two groups of numbers, the sum of the 8 numbers in the first group is 56, the average of the second group is 11, and the average of all the numbers in the two groups is 10, how many numbers are there in the second group? | <gadget id="calculator">10 * 8</gadget>
<output>80</output>
<gadget id="calculator">80 - 56</gadget>
<output>24</output>
<gadget id="calculator">11 - 10</gadget>
<output>1</output>
<gadget id="calculator">24 / 1</gadget>
<output>24</output>
<result>24</result> | 24 | calc |
ape210k__00136926 | Warehouse A stores 128 tons of grain, and Warehouse B stores 132 tons of grain. The grains stored in warehouse A and B are shipped out in 5 times. How many tons of grain are transported on average each time? | <gadget id="calculator">128 + 132</gadget>
<output>260</output>
<gadget id="calculator">260 / 5</gadget>
<output>52</output>
<result>52</result> | 52 | calc |
ape210k__00418526 | The original price of a suit is 3,200 yuan. In June, the price was first reduced (1/8) and then increased (1/8). What is the current price of this suit? The original price is high or the current price is high? | <gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">1 - (1/8)</gadget>
<output>7/8 = around 0.875</output>
<gadget id="calculator">1 + (1/8)</gadget>
<output>9/8 = around 1.125</output>
<gadget id="calculator">3_200 * (7/8) * (9/8)</gadget>
<output>3_150</output>
<resu... | 3_150 | calc |
ape210k__00374773 | It cost 28.2 yuan to buy 1 schoolbag and 4 exercise books. Among them, each schoolbag is 25 yuan, and how much is each exercise book? | <gadget id="calculator">28.2 - 25</gadget>
<output>3.2</output>
<gadget id="calculator">3.2 / 4</gadget>
<output>0.8</output>
<result>0.8</result> | 0.8 | calc |
ape210k__00747057 | On January 10, 2015, Teacher Lu deposited 5,000 yuan in the bank for two years, with an annual interest rate of 3.75%. How much should Mr. Lu withdraw from the bank after the maturity date? | <gadget id="calculator">3.75 / 100</gadget>
<output>0.0375</output>
<gadget id="calculator">5_000 * 0.0375 * 2</gadget>
<output>375</output>
<gadget id="calculator">375 + 5_000</gadget>
<output>5_375</output>
<result>5_375</result> | 5_375 | calc |
ape210k__00574280 | Zhang Ming made a small clay figurine for himself. The ratio of the height of the small clay figurine to his own is 1:20. Zhang Ming is 140cm tall, what is the height of the little clay figurine? | <gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">(1/20) * 140</gadget>
<output>7</output>
<result>7</result> | 7 | calc |
aqua_rat__nfDTugt5tmZsNCx5 | If p is a positive integer and 10p/96 is an integer, then the minimum number of unique prime factors p could have is T: Options.
A) T=1 B) T=2 C) T=3 D) T=4 E) T=5 | 10p/96 should resolve to a integer => 5p/48 should resolve to an integer. Hence p/48 should resolve to a integer. 48 -- > 2^4 * 3. Hence p should have atleast 2^4*3 for p/48 to resolve to a int. The unique prime factors in 2^4 * 3 is 2, 3 and hence the answer is T=2(2).
<result>B</result> | B | calc |
aqua_rat__SoMvvCYGP2QxoRhg | A grocer purchased 20 kg of rice at the rate of 15 per kg and 30 kg of rice at the rate of 13 per kg. At what price per kg should he sell the mixture to earn 331/3% profit on the cost price?
Choose the correct choice from the following answers.
A) 28.0 B) 20.0 C) 18.4 D) 17.4 E) None of these | 18.4P= 20 ×15 + 30 ×13 = 690 \ sp = 4⁄3 of 690 × 1⁄50 = 18.40 Answer 18.4
<result>C</result> | C | calc |
ape210k__00250396 | The sum of three consecutive even numbers is 132, what is the largest even number. | <gadget id="calculator">132 / 3</gadget>
<output>44</output>
<gadget id="calculator">44 + 2</gadget>
<output>46</output>
<result>46</result> | 46 | calc |
ape210k__00434714 | Tongxing Grain Store shipped 20 bags of flour and 18 bags of rice. Each bag of flour and rice weighs 25 kilograms. How many kilograms are the flour and rice delivered in total? | <gadget id="calculator">20 + 18</gadget>
<output>38</output>
<gadget id="calculator">38 * 25</gadget>
<output>950</output>
<result>950</result> | 950 | calc |
ape210k__00489448 | The truck travels 80 kilometers per hour, and the car travels (1/4) more distance per hour than the truck. How many kilometers does the car travel per hour? | <gadget id="calculator">1 / 4</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">80 * (5/4)</gadget>
<output>100</output>
<result>100</result> | 100 | calc |
gsm8k__SFt7Btl5m1dY5PSc | Pete walks backwards three times faster than Susan walks forwards, and Tracy does one-handed cartwheels twice as fast as Susan walks forwards. But Pete can walk on his hands only one quarter the speed that Tracy can do cartwheels. If Pete walks on his hands at 2 miles per hour, how fast can Pete walk backwards, in mi... | If Pete walks on hands at 1/4 what Tracy can do 1-handed cartwheels, then Tracy can do 1-handed cartwheels at 2*4=8 miles per hour.
Since Tracy does 1-handed cartwheels twice the rate of Susan's forward walking, then Susan walks at 8/2=
<gadget id="calculator">8/2</gadget>
<output>4</output>
4 miles per hour.
Pete walk... | 12 | calc |
ape210k__00083670 | One interior angle of a triangle is 30° and the other interior angle is 60°, what is the third interior angle of this triangle? What kind of triangle is this triangle? | <gadget id="calculator">30 + 60</gadget>
<output>90</output>
<gadget id="calculator">180 - 90</gadget>
<output>90</output>
<result>90</result> | 90 | calc |
aqua_rat__ZcWxjRlrEkhxBN2L | A train sets off at 2 p.m. at the speed of 70 kmph. Another train starts at 3:30 p.m. in the same direction at the rate of 85 kmph. At what time the trains will meet? Choose the correct choice from the following answers:
A) 10.18 p.m
B) 10.29 p.m
C) 10.30 p.m
D) 10.38 p.m
E) 10.32 p.m | D = 70 * 1 ½ = 105 km RS = 85 – 70 = 15 T = 105/15=
<gadget id="calculator">105/15</gadget>
<output>7</output>
7 h 3.30 + 7=
<gadget id="calculator"> 3.30 + 7</gadget>
<output>10.3</output>
10.30 p.m. Answer:10.30 p.m
<result>C</result> | C | calc |
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