id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
aqua_rat__tbJFEbZGUfo21WCr | If r is even and t is odd, which of the following is odd? Choose the correct choice from the following options
A) rt B) 5rt C) 6(r^2)t D) 5r + 6t E) 6r + 5t | R is even, A B and C are out a even number multiplied by any number is even. D is out because 5r = even, 6t =even so even + even = even E is correct because: 6r = even, 5t = odd as any number of the form odd x integer... the integer value determines the even/odd nature. so, even + odd = odd ;Answer: 6r + 5t
<resu... | E | calc |
ape210k__01064063 | Uncle Wang’s family is going to buy a house of 108 square meters. The unit price is 2800 yuan/square meter. If the discount is 50%, how much will it cost to buy this house? | <gadget id="calculator">95 / 100</gadget>
<output>19/20 = around 0.95</output>
<gadget id="calculator">2_800 * 108 * (19/20)</gadget>
<output>287_280</output>
<result>287_280</result> | 287_280 | calc |
aqua_rat__rUrNJ17IgbJoA7NJ | A cube with volume of 125 cm^3 is dropped in a fish tank with dimensions 3 m x 1 m x 2 m. If the tank is full of water, how much water will remain after the cube is droppped?
Choose the correct choice from the following choices: A) 5.9999999 m^3 B) 5.725 m^3 C) 5.650 m^3 D) 5.999875 m^3 E) 5999.725 m^3 | Volume of fish tank = 3m x 1m x 2m = 6 m^3 125 cm^3 x (1 m^3 / 1,000,000 cm^3) = 0.000125 m^3 6-.000125=
<gadget id="calculator">6-.000125</gadget>
<output>5.999875</output>
5.999875 m^3 Answer is 5.999875 m^3
<result>D</result> | D | calc |
math_qa__owVmyewBnW77GqTz | It takes Avery 3 hours to build a brick wall while Tom can do it in 2 hours. If the two start working together and after an hour Avery leaves, how much time will it take Tom to complete the wall on his own? Select
A) 20 B) 30 C) 40 D) 50 E) 60 | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/3) + (1/2)</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">1 - (5/6)</gadget>
<output>1/6 = around 0.166667</output... | A | calc |
ape210k__01068713 | Teacher Chen bought 48 pens and awarded them to Dapeng and his three good friends. How many pens did each person get on average? | <gadget id="calculator">3 + 1</gadget>
<output>4</output>
<gadget id="calculator">48 / 4</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
aqua_rat__UVDXmNa6SECBFsLH | Length of a rectangular plot is 40 mtr more than its breadth. If the cost of fencin g the plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr? Choose the most appropriate option
A) 46 m
B) 60 m
C) 58 m
D) 70 m
E) 80 m | Let breadth = x metres. Then, length = (x + 40) metres. Perimeter = 5300/26.5=
<gadget id="calculator">5300/26.5</gadget>
<output>200</output>
200 m. 2[(x + 40) + x]= 200 2x + 40 = 100 2x = 60 x = 30. Hence, length = x + 40 = 70 m 70 m
<result>D</result> | D | calc |
ape210k__00451290 | Mom has deposited 5,000 yuan in the bank for half a year with a monthly interest rate of 2.60%. How much will you get back at maturity? | <gadget id="calculator">2.6 / 100</gadget>
<output>0.026</output>
<gadget id="calculator">5_000 * 0.026 * 6</gadget>
<output>780</output>
<gadget id="calculator">5_000 + 780</gadget>
<output>5_780</output>
<result>5_780</result> | 5_780 | calc |
ape210k__00277596 | The annual interest rate of a one-year fixed deposit is 4.14%. How much is the total interest and principal for a deposit of 10,000 yuan after one year? | <gadget id="calculator">4.14 / 100</gadget>
<output>0.0414</output>
<gadget id="calculator">10_000 * 0.0414 * 1</gadget>
<output>414</output>
<gadget id="calculator">414 + 10_000</gadget>
<output>10_414</output>
<result>10_414</result> | 10_414 | calc |
ape210k__00632080 | The community garden is a rectangle with a length of 60m and a width of 40m. Now it is necessary to place trees around the garden, at all four corners, and every two adjacent trees are separated by 5m. How many trees are there in total? | <gadget id="calculator">60 + 40</gadget>
<output>100</output>
<gadget id="calculator">100 * 2</gadget>
<output>200</output>
<gadget id="calculator">200 / 5</gadget>
<output>40</output>
<result>40</result> | 40 | calc |
ape210k__00160304 | The engineering team built a canal, originally planned to build 360 meters per day, and completed it in 30 days. After 10 days of repairing, if you repair 40 meters more every day, how many more days will it take to complete the task? | <gadget id="calculator">360 * 30</gadget>
<output>10_800</output>
<gadget id="calculator">360 * 10</gadget>
<output>3_600</output>
<gadget id="calculator">10_800 - 3_600</gadget>
<output>7_200</output>
<gadget id="calculator">360 + 40</gadget>
<output>400</output>
<gadget id="calculator">7_200 / 400</gadget>
<outpu... | 18 | calc |
ape210k__00312934 | Guanghua Garment Factory produced 9126 shirts in 26 days. How many shirts are produced on average per day? | <gadget id="calculator">9_126 / 26</gadget>
<output>351</output>
<result>351</result> | 351 | calc |
ape210k__00110394 | If the numerator of a fraction is reduced by 3 times and the denominator is enlarged by 3 times, the value of the fraction will be reduced by as many times as possible. | <gadget id="calculator">3 * 3</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
ape210k__00169647 | Master Li processes 960 parts every day, which is 1/5 less than that of Master Wang. How many parts does Master Wang process every day? | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">960 / (4/5)</gadget>
<output>1_200</output>
<result>1_200</result> | 1_200 | calc |
aqua_rat__RyvX1sP1Y0R87Vux | Two trains of equal lengths take 15 sec and 20 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction? Choose the correct choice from the following options:
A) 16 sec
B) 12 sec
C) 17 sec
D) 21 sec
E) 23 sec | Speed of the first train = 120/15=
<gadget id="calculator">120/15</gadget>
<output>8</output>
8 m/sec. Speed of the second train= 120/20=
<gadget id="calculator">120/20</gadget>
<output>6</output>
6 m/sec. Relative speed= 8 + 6=
<gadget id="calculator">8 + 6</gadget>
<output>14</output>
14 m/sec. Required time... | C | calc |
ape210k__00067723 | The distance between A and B is 120 meters. A walks 35 meters per minute, and B walks 25 meters per minute. A and B start from A and B opposite each other and walk back and forth. When they meet for the second time, they walk away. how many minutes? | <gadget id="calculator">35 + 25</gadget>
<output>60</output>
<gadget id="calculator">3 / 60</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">120 * (1/20)</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__00083410 | There are 960 batteries, every 8 batteries are packed in a box, and 5 boxes are packed in a box. How many boxes of these batteries can be packed in total? | <gadget id="calculator">960 / 8 / 5</gadget>
<output>24</output>
<result>24</result> | 24 | calc |
math_qa__ELHcKFZ4gAiEDNOh | The parameter of a square is equal to the perimeter of a rectangle of length 20 cm and breadth 14 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)
Choose the correct choice.
A) 77.14 cm
B) 47.14 cm
C) 26.71 cm
D) 94.94 cm
E) 23.5... | <gadget id="calculator">2 * (20 + 14)</gadget>
<output>68</output>
<gadget id="calculator">68 / 4</gadget>
<output>17</output>
<gadget id="calculator">17 / 2</gadget>
<output>17/2 = around 8.5</output>
<gadget id="calculator">2 * pi * (17/2)</gadget>
<output>17*pi = around 53.407075</output>
<gadget id="calculator"... | C | calc |
ape210k__01222071 | There was a big watermelon, Bajie ate it (3/5), the remaining watermelon Drifting ate half, and Tang Seng and Wukong shared the other half equally. What fraction of the whole watermelon did Goku eat? | <gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 - (3/5)</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(2/5) * (1/2) * (1/2)</gadget>
<output>1/10 = around 0.1</output>
<re... | 1/10 | calc |
ape210k__00577808 | In a right triangle, one acute angle is 11°, what is the other acute angle? | <gadget id="calculator">180 - 90 - 11</gadget>
<output>79</output>
<result>79</result> | 79 | calc |
aqua_rat__YLsc75qAUc0xtlTJ | Tough and Tricky questions: Word Problems.
Mike, Sarah and David decided to club together to buy a present. Each of them gave equal amount of money. Luckily Sarah negotiated a 20% discount for the present so that each of them paid 4 dollars less. How much did they pay for a present? Pick one: A) 20 B) 36 C) 48 D) 6... | Answer C. We know that Sarah negotiated a discount of 20%, so each of them paid $4 less. Since there are three people, the 20% of the original price amounts to $12. 5 times 12$ is 60$, so the original price, before Sarah negotiated the discount, had been $60. They paid $12 less than the base price, so they spent $48.... | C | calc |
aqua_rat__PZ1As54KhTXctVJh | How many integers between 50 and 200 are there such that their unit digit is odd?
Choose the correct choice from the following: A) 100 B) 120 C) 75 D) 50 E) 150 | 150 numbers between - 50 and 200 Out of which half would be even, half odd. Number of odd unit digit number = 75. correct option is 75
<result>C</result> | C | calc |
aqua_rat__VGSLWPwxAzZ3sESx | The number of boys in a class is 4/5 times the number of girls. Which one of the following numbers cannot represent the total number of children in the class ? Choose the correct choice: A) A)48 B) B)44 C) C)42 D) D)40 E) E)36 | Explanation: Let number of girls = x and number of boys = 0.8x. Then, 0.8x + x = 1.8x = total number of students. Thus, to find exact value of x, the total number of students must be divisible by 1.8. Answer: 36
<result>E</result> | E | calc |
math_qa__ZqOdyAPcNyXXVgLj | what is the units digit of the expression 7^75+6? Select the correct option
A) 1 B) 3 C) 5 D) 7 E) 9 | <gadget id="calculator">4 + 3</gadget>
<output>7</output>
<gadget id="calculator">7 + 2</gadget>
<output>9</output>
<result>E</result> | E | calc |
ape210k__00988465 | In the 4 exams that have been taken, the average score of Pingping is 90 minutes (the full score of each test is 100 points), in order to achieve an average score of 96 or more, how many more times does he have to take the exam at least? | <gadget id="calculator">384 - 360</gadget>
<output>24</output>
<gadget id="calculator">24 / 4</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__00297706 | The students in the science group used 200 peanut seeds to do a germination experiment, and 8 did not germinate. What is the germination rate of this batch of peanut seeds? | <gadget id="calculator">200 - 8</gadget>
<output>192</output>
<gadget id="calculator">192 / 200</gadget>
<output>24/25 = around 0.96</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(24/25) * 1</gadget>
<output>24/25 = around 0.96</output>
<result>24/25 = around 0.96</r... | 24/25 | calc |
ape210k__00576506 | Cut a 5-meter-long steel wire into 8 parts on average, how many meters is each part? | <gadget id="calculator">5 / 8</gadget>
<output>5/8 = around 0.625</output>
<result>5/8 = around 0.625</result> | 5/8 | calc |
aqua_rat__D4ru0Fii9t1Vi5G7 | A boy is travelling from his home to school at 12 km/hr and reached 7 min late. Next day he traveled at 16 km/hr and reached 8 min early. Distance between home and school? Select: A) 12km B) 13km C) 14km D) 15km E) 16km | Let the distance be x T1 = x/12 hr T2 = x/16hr Difference in time = 7+8=
<gadget id="calculator">7+8</gadget>
<output>15</output>
15=1/4hr x/12-x/16 = 1/4 x/48 = 1/4 x = 12 km 12kmnswer is 12km
<result>A</result> | A | calc |
ape210k__00552978 | If ((7+a)/15) is a true fraction (a is a natural number), then how many values can a have | <result>7</result> | 7 | calc |
ape210k__00157653 | In a club activity, the number of people present is 160, and 40 people are absent. What is the attendance rate? | <gadget id="calculator">160 + 40</gadget>
<output>200</output>
<gadget id="calculator">160 / 200</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(4/5) * 1</gadget>
<output>4/5 = around 0.8</output>
<result>4/5 = around 0.8</result> | 4/5 | calc |
ape210k__01191795 | In 2007, the age of the father was 5 times that of the son, and in 2015 the age of the father became 3 times the age of the son. When was the son born? | <gadget id="calculator">2_015 - 2_007</gadget>
<output>8</output>
<gadget id="calculator">8 * 3</gadget>
<output>24</output>
<gadget id="calculator">24 - 8</gadget>
<output>16</output>
<gadget id="calculator">5 - 3</gadget>
<output>2</output>
<gadget id="calculator">16 / 2</gadget>
<output>8</output>
<gadget id="c... | 1_999 | calc |
aqua_rat__4McYwIWAHEkjoygF | If (55^55+55) is divided by 56, then the remainder is:? Choices
A) 54 B) 55 C) 53 D) 56 E) 57 | Solution: (x^n+1) is divisible by (x+1), when n is odd. .'. (55^55+1) is divisible by (55+1)=
<gadget id="calculator"> (55+1)</gadget>
<output>56</output>
56. when (55^55+1)+54 is divided by 56, the remainder is 54. 54nswer 54
<result>A</result> | A | calc |
aqua_rat__WyvVZQkhLAFwNcry | If a card is drawn from a well shuffled pack of cards, the probability of drawing a spade or a king is ? Choose the most appropriate option: A) 4/29 B) 4/20 C) 4/23 D) 4/13 E) 4/92 | P(SᴜK) = P(S) + P(K) - P(S∩K), where S denotes spade and K denotes king. P(SᴜK) = 13/52 + 4/52 - 1/52 =4/13 Answer: 4/13
<result>D</result> | D | calc |
ape210k__00645121 | 1+3+5+...+21=how much. | <gadget id="calculator">1 + 21</gadget>
<output>22</output>
<gadget id="calculator">21 - 1</gadget>
<output>20</output>
<gadget id="calculator">20 / 2</gadget>
<output>10</output>
<gadget id="calculator">10 + 1</gadget>
<output>11</output>
<gadget id="calculator">11 / 2</gadget>
<output>11/2 = around 5.5</output>
... | 121 | calc |
ape210k__00692955 | There are 630 students in Hongguang Primary School. The sixth grade students account for 1/5 of the total number of students in the school. | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">630 * (1/5) * (1/3)</gadget>
<output>42</output>
<result>42</result> | 42 | calc |
ape210k__00217031 | The circumference of Xiao Ming's round table is 376.8 cm, what is the diameter of this round table in cm? | <gadget id="calculator">376.8 / 3.14</gadget>
<output>120</output>
<result>120</result> | 120 | calc |
ape210k__00153942 | There is a series of numbers (1/1), (1/2), (2/2), (1/2), (1/3), (2/3), (3/3), (2/3) , (1/3), ... This string of numbers counts from the left, what number is (11/11). | <gadget id="calculator">11 / 1</gadget>
<output>11</output>
<gadget id="calculator">1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 11</gadget>
<output>111</output>
<result>111</result> | 111 | calc |
math_qa__lQrpevdi3SO49f9Q | The regular price per can of a certain brand of soda is $0.40. If the regular price per can is discounted 15 percent when the soda is purchased in 24-can cases, what is the price of 100 cans of this brand of soda purchased in 24-can cases? Options:
A) $ 16.32 B) $ 18.00 C) $ 21.60 D) $ 34 E) $ 28.80 | <gadget id="calculator">100 - 15</gadget>
<output>85</output>
<gadget id="calculator">85 / 100</gadget>
<output>17/20 = around 0.85</output>
<gadget id="calculator">0.4 * 100</gadget>
<output>40</output>
<gadget id="calculator">(17/20) * 40</gadget>
<output>34</output>
<result>D</result> | D | calc |
ape210k__00197880 | There is a large water inlet pipe on the top of a pool, and many small outlet pipes of the same size are installed on the bottom. Now there is half a pool of water in the pool. Open the water inlet pipe and 5 outlet pipes for 4 hours to drain the water in the pool. Open the water inlet pipe And 4 outlet pipes can drain... | <gadget id="calculator">4 * 6</gadget>
<output>24</output>
<gadget id="calculator">4 * 5</gadget>
<output>20</output>
<gadget id="calculator">24 - 20</gadget>
<output>4</output>
<gadget id="calculator">6 - 4</gadget>
<output>2</output>
<gadget id="calculator">4 / 2</gadget>
<output>2</output>
<gadget id="calculato... | 12 | calc |
ape210k__00395588 | Add 4 grams of salt and 16 grams of water to salt water with a salt content of 25%, what is the salt content of the salt water? | <gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<result>1/4 = around 0.25</result> | 1/4 | calc |
aqua_rat__YBIXBsYXerUZbb69 | If x+y=280, x-y=200, for integers of x and y, y=? Pick:
A) 200 B) 240 C) 50 D) 115 E) 150 | x+y = 280 x-y = 200 2x = 80 x = 40 y = 240 Answer is 240
<result>B</result> | B | calc |
ape210k__00889649 | In April, the school held a double exercise and one punch competition. There were 30 classes participating. Each class was arranged in 4 rows with 12 students in each row. How many people participated in the competition? | <gadget id="calculator">12 * 4 * 30</gadget>
<output>1_440</output>
<result>1_440</result> | 1_440 | calc |
gsm8k__GDGlo5ru7EDxKcVa | In Sam's collection, there are ten more black pens than blue pens and twice as many blue pens as pencils. There are also eight pencils and two fewer red pens than pencils. How many pens in all are there in Sam's collection? | 8 x 2 =
<gadget id="calculator">8*2</gadget>
<output>16</output>
16 are blue pens.
16 + 10 =
<gadget id="calculator">16+10</gadget>
<output>26</output>
26 are black pens.
8 - 2 =
<gadget id="calculator">8-2</gadget>
<output>6</output>
6 are red pens.
Therefore, there are 16 + 26 + 6 =
<gadget id="calculator">16+26+... | 48 | calc |
aqua_rat__KemQJjVTNLVVEmiz | Bruce purchased 7kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper? Choose the correct choice from the following options: A) A)985 B) B)1050 C) C)1055 D) D)1065 E) E)1075 | Cost of 7 kg grapes = 70 × 7 = 490. Cost of 9 kg of mangoes = 55 × 9 = 495. Total cost he has to pay = 490 + 495=
<gadget id="calculator">490 + 495</gadget>
<output>985</output>
985 985
<result>A</result> | A | calc |
mawps__FBy6zWNgRMNT5Aix | Shawn had some Pen. Cheryl gave him 9 more. Now Shawn has 38 Pen. How many Pen did Shawn have primitively? | <gadget id="calculator">38 - 9</gadget>
<output>29</output>
<result>29</result> | 29 | calc |
ape210k__00118298 | Xiaoqiang and Xiaodong go from school to the Children's Palace. Xiaodong walks first for 5 minutes. Xiaoqiang catches up with Xiaodong in 25 minutes. If Xiaoqiang walks 5 meters more per minute, Xiaoqiang can catch up with Xiaodong in 20 minutes. How many meters does Xiaodong walk per minute? | <gadget id="calculator">20 + 5</gadget>
<output>25</output>
<gadget id="calculator">25 / 20</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">25 + 5</gadget>
<output>30</output>
<gadget id="calculator">30 / 25</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">(5/4) - (6/5)</gadget... | 100 | calc |
ape210k__00346445 | One factor is 54 and the other is 8, what is the product? | <gadget id="calculator">54 * 8</gadget>
<output>432</output>
<result>432</result> | 432 | calc |
ape210k__00396084 | A cylindrical piece of wood is 2 meters long, cut into 3 equal sections, the surface area increases by 24 square centimeters, what is the volume of the original wood in cubic centimeters? | <gadget id="calculator">24 / 4</gadget>
<output>6</output>
<gadget id="calculator">2 * 100</gadget>
<output>200</output>
<gadget id="calculator">6 * 200</gadget>
<output>1_200</output>
<result>1_200</result> | 1_200 | calc |
math_qa__7Hw6DKrIUmTSwrg4 | Caleb spends $74.50 on 50 hamburgers for the marching band. If single burgers cost $1.00 each and double burgers cost $1.50 each, how many double burgers did he buy? Pick
A) 5 B) 10 C) 20 D) 40 E) 49 | <gadget id="calculator">74.5 - 50</gadget>
<output>24.5</output>
<gadget id="calculator">1.5 - 1</gadget>
<output>0.5</output>
<gadget id="calculator">24.5 / 0.5</gadget>
<output>49</output>
<result>E</result> | E | calc |
aqua_rat__gj1QJkIQmROm4yK7 | There are 5 sweets = Jamun, Kaju, Peda, Laddu, Jalebi which can be consumed in 5 consecutive days. Monday to Friday. A person eats one sweet a day, based on the following constraints.
(i) Laddu not eaten on Monday.
(ii) If Jamun is eaten on Monday, Laddu should be eaten of Friday.
(iii) Peda is eaten the day following ... | The answer lies in statement (iii) It is given that peda is eaten the day following the day of eating jalebi. So peda cannot be eaten on Monday Answer--> (b) Monday ANSWER:Monday
<result>B</result> | B | calc |
math_qa__DhufqnU6EVSquOMn | 5 friends adi , brian , close , derek and eli appeared in two aptitude tests . in the first aptitude test , derek score 50 % less than the average score of the 5 people . in the second aptitude test , derek score 50 % more than what he scored on the first aptitude test . if the score of his friend in the second aptitud... | <gadget id="calculator">5 * 5</gadget>
<output>25</output>
<gadget id="calculator">50 * 25</gadget>
<output>1_250</output>
<gadget id="calculator">1_250 / 50</gadget>
<output>25</output>
<result>A</result> | A | calc |
ape210k__01057191 | In order to encourage residents to save water, the water company stipulates that each household will be charged 1.2 yuan per ton for water within 15 tons (including 15 tons) per month, and if it exceeds 15 tons, the excess tonnage will be charged at 5 yuan per ton. A total of 38 yuan to pay the water fee. Do you know h... | <gadget id="calculator">15 * 1.2</gadget>
<output>18</output>
<gadget id="calculator">38 - 18</gadget>
<output>20</output>
<gadget id="calculator">20 / 5</gadget>
<output>4</output>
<gadget id="calculator">4 + 15</gadget>
<output>19</output>
<result>19</result> | 19 | calc |
ape210k__00544165 | Xiaoming’s family had a balance of 5,000 yuan last year, and it is estimated that this year’s balance will be 9,500 yuan. This year’s income is 15% higher than last year’s, and expenditure is 10% lower than last year. What is the income of Xiaoming’s family last year? | <result>20_000</result> | 20_000 | calc |
ape210k__01123597 | Paint one side (inner and outer sides) of a cube iron box with a side length of 1.2 meters. What is the area of the painted part in square meters? | <gadget id="calculator">1.2 * 1.2 * 6 * 2</gadget>
<output>17.28</output>
<result>17.28</result> | 17.28 | calc |
ape210k__00535134 | Two road repairing teams work together to build a road. Team A has repaired the full length (2/9), and team B has repaired the full length (3/8). What fraction of the road is left to be repaired? | <gadget id="calculator">2 / 9</gadget>
<output>2/9 = around 0.222222</output>
<gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">(2/9) + (3/8)</gadget>
<output>43/72 = around 0.597222</output>
<gadget id="calculator">1 - (43/72)</gadget>
<output>29/72 = around 0.402778... | 29/72 | calc |
ape210k__00235251 | The current cost is 15% lower than the original one. What is the current cost? | <gadget id="calculator">15 / 100</gadget>
<output>3/20 = around 0.15</output>
<gadget id="calculator">1 - (3/20)</gadget>
<output>17/20 = around 0.85</output>
<result>17/20 = around 0.85</result> | 17/20 | calc |
ape210k__00078229 | There are 25 rows of seats in the auditorium, each row has 30 seats. If there are 680 people sitting in the auditorium, then there are at least as many rows as the number of people sitting. | <result>4</result> | 4 | calc |
ape210k__00929837 | A certain toy store bought 10 remote-controlled airplanes with a unit price of 200 yuan, sold 7 planes at a profit of 50 yuan each, sold 2 planes at a profit of 35 yuan each, and sold the remaining 1 plane at the purchase price. What is the profit margin for the toy store selling these remote-controlled airplanes? (Pro... | <gadget id="calculator">50 * 7</gadget>
<output>350</output>
<gadget id="calculator">35 * 2</gadget>
<output>70</output>
<gadget id="calculator">350 + 70</gadget>
<output>420</output>
<gadget id="calculator">200 * 10</gadget>
<output>2_000</output>
<gadget id="calculator">420 / 2_000</gadget>
<output>21/100 = aroun... | 21/100 | calc |
ape210k__00159324 | What is the calculation result of 0.1-0.1*0.1 | <gadget id="calculator">0.1 * 0.1</gadget>
<output>0.01</output>
<gadget id="calculator">0.1 - 0.01</gadget>
<output>0.09</output>
<result>0.09</result> | 0.09 | calc |
aqua_rat__SyFcJHztX3Y571IW | Rs.160 contained in a box consists of one rupee, 50 paisa and 25 paisa coins in the ratio 4:5:6. What is the number of 25 paisa coins? Choose the correct choice from the following answers:
A) 228
B) 236
C) 120
D) 988
E) 266 | 4x 5x 6x 100 50 25 400x + 350x + 150x = 16000 x = 20 6x = 120 Answer:120
<result>C</result> | C | calc |
ape210k__00529662 | The speed ratio of cars A and B is 3:5. Car A can travel 248.8 kilometers in 4 hours. One day, when two cars drive from point A to point B, it takes 12 hours for car B to get there. How many hours will it take for car A to get there? reachable. | <gadget id="calculator">5 / 3</gadget>
<output>5/3 = around 1.666667</output>
<gadget id="calculator">12 * (5/3)</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
ape210k__00801881 | A passenger car and a truck drive towards each other at the same time from two places 630 kilometers apart. It is known that the speed of the truck is 80 kilometers per hour, and the speed ratio of the passenger car and the truck is 5:4. How many hours will it take for the two cars to meet? | <gadget id="calculator">5 / 4</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">80 * (5/4)</gadget>
<output>100</output>
<gadget id="calculator">100 + 80</gadget>
<output>180</output>
<gadget id="calculator">630 / 180</gadget>
<output>7/2 = around 3.5</output>
<result>7/2 = around 3.5</result> | 7/2 | calc |
ape210k__00909733 | Xiaofang is standing by the railway, and it takes 3 minutes for a train to pass her. It is known that the train is 318 meters long, and it takes 6 minutes to pass a bridge at the same speed. How long is the bridge in meters? | <gadget id="calculator">318 / 3</gadget>
<output>106</output>
<gadget id="calculator">106 * 6</gadget>
<output>636</output>
<gadget id="calculator">636 - 318</gadget>
<output>318</output>
<result>318</result> | 318 | calc |
math_qa__TGUyIYRgAgGBsa7R | In a school of 850 boys, 44% of Muslims, 14% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities? Pick.
A) 125
B) 627
C) 153
D) 721
E) 272 | <gadget id="calculator">44 + 14</gadget>
<output>58</output>
<gadget id="calculator">58 + 10</gadget>
<output>68</output>
<gadget id="calculator">100 - 68</gadget>
<output>32</output>
<gadget id="calculator">850 * 32</gadget>
<output>27_200</output>
<gadget id="calculator">27_200 / 100</gadget>
<output>272</output>... | E | calc |
ape210k__00717547 | There are 40 large and small plastic bottles in the box, with a total weight of 110 grams. Each of the large balls weighs 4 grams, and each of the small balls weighs 2 grams. How many fewer large balls are there than the small ones. | <gadget id="calculator">4 * 40</gadget>
<output>160</output>
<gadget id="calculator">160 - 110</gadget>
<output>50</output>
<gadget id="calculator">4 - 2</gadget>
<output>2</output>
<gadget id="calculator">50 / 2</gadget>
<output>25</output>
<gadget id="calculator">40 - 25</gadget>
<output>15</output>
<gadget id="... | 10 | calc |
aqua_rat__Nqk2akmj5OTim0ho | Gold is 10 times as heavy as water and copper is 5 times as heavy as water. In what ratio should these be mixed to get an alloy 7 times as heavy as water? Choices
A) 3:2 B) 1:2 C) 3:1 D) 5:2 E) 2:3 | G = 10W C = 5W Let 1gm of gold mixed with x gm of copper to get 1+x gm of the alloy 1gm gold + x gm copper = x+1 gm of alloy 10W+5Wx = x+1 * 7W 10+5x = 7(x+1) x = 3/2 Ratio of gold with copper = 1:3/2 = 2:3 Answer is 2:3
<result>E</result> | E | calc |
aqua_rat__ZunbtYB0XpbAj1ex | An error 5% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is: Choose the correct option:
A) 10.01 B) 9.25 C) 10.25 D) 8.25 E) 6.25 | Explanation: 100 cm is read as 105 cm. A1 =(100 × 100)cm2 = 10000 and A2= (105 × 105)cm2= 10816 (A2 - A1) = 11025-10000=
<gadget id="calculator">11025-10000</gadget>
<output>1_025</output>
1025=> 1025/10000*100=
<gadget id="calculator">1025/10000*100</gadget>
<output>41/4 = around 10.25</output>
10.25 An... | C | calc |
ape210k__00899371 | There are 120 willow trees in the forest park, which is twice the number of poplar trees, and the number of pine trees is four times that of poplar trees. How many pine trees are there in the forest park? | <gadget id="calculator">120 / 2</gadget>
<output>60</output>
<gadget id="calculator">60 * 4</gadget>
<output>240</output>
<result>240</result> | 240 | calc |
ape210k__00588956 | How much/28=7...4. | <gadget id="calculator">28 * 7</gadget>
<output>196</output>
<gadget id="calculator">196 + 4</gadget>
<output>200</output>
<result>200</result> | 200 | calc |
ape210k__00222462 | The sum of a natural number and its reciprocal is 4(1/4). What is this number? | <result>4</result> | 4 | calc |
aqua_rat__69Wah5KtWS6RvkKf | If 2x + y = 7 and x + 2y = 5, then 5xy/3 =?
Pick one
A) A) 5 B) B) 2 C) C) 17/5 D) D) 18/5 E) E) 4 | 2*(x+2y = 5) equals 2x+4y=10 2x+4y=10 - 2x + y= 7 = 3y=3 Therefore Y = 1 Plug and solve... 2x + 1 = 7 2x=6 x=3 (5*3*1)/3 = 15/3=
<gadget id="calculator">15/3</gadget>
<output>5</output>
5 5
<result>A</result> | A | calc |
aqua_rat__gmb7umcn8kGU7QNU | When 732 is subtracted form the square of a number, the answer that is obtained is 5280. What is the number?
Choose the most appropriate option
A) 97
B) 103
C) 99
D) 101
E) None of these | Let the number be x x2 - 732 = 5280 x2 = 5280 + (70+3)2 = 5280 + 4900 + 420 + 9=
<gadget id="calculator">5280 + 4900 + 420 + 9</gadget>
<output>10_609</output>
10609= 10000 + 2(100)(3) + 32 = (100 + 3)2 x = 100 + 3=
<gadget id="calculator">100 + 3</gadget>
<output>103</output>
103. ANSWER:103
<result>B</resul... | B | calc |
aqua_rat__BIqlCYEl2bFiIZkD | One train is travelling 45 kmph and other is at 10 meters a second. Ratio of the speed of the two trains is? Choose the correct answer:
A) 3:3
B) 5:7
C) 5:4
D) 7:2
E) 8:5 | 5:4 5:4 45 * 5/18 = 10 25:20 => 5:4
<result>C</result> | C | calc |
ape210k__00608170 | Uncle Wang wants to paint the walls of a classroom with a length of 7.5 meters, a width of 7 meters, and a height of 3.6 meters (the ceiling is not painted), and the area of doors and windows is 5.5 square meters. Find the area that needs to be painted. | <gadget id="calculator">7.5 * 3.6</gadget>
<output>27</output>
<gadget id="calculator">7 * 3.6</gadget>
<output>25.2</output>
<gadget id="calculator">27 + 25.2</gadget>
<output>52.2</output>
<gadget id="calculator">52.2 * 2</gadget>
<output>104.4</output>
<gadget id="calculator">104.4 - 5.5</gadget>
<output>98.9</o... | 98.9 | calc |
ape210k__00780717 | There are 6 rows of flowers and 6 pots in each row. Now arrange these flowers in 4 rows. How many pots are there in each row? | <gadget id="calculator">6 / 4</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">6 * (3/2)</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
aqua_rat__DiwnZgsrtzoLSqWE | A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%? Answers
A) 2 B) 4 C) 5 D) 6 E) 24 | C C.P. of 6 toffees = Re. 1 S.P. of 6 toffees = 120% of Re. 1 = Rs. 6/5 For Rs. 6/5, toffees sold = 6. For re. 1. Toffees sold = 6 * 5/6=
<gadget id="calculator">6 * 5/6</gadget>
<output>5</output>
5
<result>C</result> | C | calc |
ape210k__00629438 | A certain army participated in a military exercise. A correspondent on a bicycle and the troops set off to the exercise site 5 kilometers away at the same time. When the correspondent arrived at the exercise site, the large army had only walked half the distance, and then the correspondent immediately returned to meet ... | <gadget id="calculator">5 / 2</gadget>
<output>5/2 = around 2.5</output>
<gadget id="calculator">5 / (5/2)</gadget>
<output>2</output>
<gadget id="calculator">5 * 2</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__00040124 | The upper base of a trapezoidal paddy field is 80 meters, 40 meters shorter than the lower base, and 95 meters high. This year, a total of 4,560 kilograms of rice was harvested. How many kilograms of rice are harvested per hectare on average? | <gadget id="calculator">80 + 40 + 80</gadget>
<output>200</output>
<gadget id="calculator">95 / 2 / 10_000</gadget>
<output>19/4_000 = around 0.00475</output>
<gadget id="calculator">200 * (19/4_000)</gadget>
<output>19/20 = around 0.95</output>
<gadget id="calculator">4_560 / (19/20)</gadget>
<output>4_800</output>... | 4_800 | calc |
aqua_rat__Z9WFG7TJ5Hda1wZV | Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 10 hours and 8 hours respectively. The ratio of their speeds is Choose the correct choice from the following:
A) 4 : 9 B) 4 : 3 C) 4 : 12 D) 4 : 8 E) 4 : 5 | Let us name the trains as A and B. Then, (A's speed) : (B's speed) = b : a = 8 : 10 = 4 : 5.
Answer: 4 : 5
<result>E</result> | E | calc |
ape210k__00085116 | Cars A and B are traveling toward each other from two places 450 kilometers apart at the same time, and meet each other in 3.6 hours. Car A travels 65 kilometers per hour, how many kilometers per hour does Car B travel? | <gadget id="calculator">450 / 3.6</gadget>
<output>125</output>
<gadget id="calculator">125 - 65</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
ape210k__00424883 | Yangyang can walk 240 meters in 5 minutes, and it takes 12 minutes to go to school every day. How far is Yangyang's home from school? | <gadget id="calculator">240 / 5</gadget>
<output>48</output>
<gadget id="calculator">48 * 12</gadget>
<output>576</output>
<result>576</result> | 576 | calc |
ape210k__00970821 | There is a rectangular lawn in the park, which is 0.5 km long and 0.35 km wide. What is the area of this lawn in square meters? | <gadget id="calculator">0.5 * 1_000</gadget>
<output>500</output>
<gadget id="calculator">0.35 * 1_000</gadget>
<output>350</output>
<gadget id="calculator">500 * 350</gadget>
<output>175_000</output>
<result>175_000</result> | 175_000 | calc |
aqua_rat__dADeYEXOIikLL4Is | A four-character password consists of one letter of the alphabet and three different digits between 2 and 9, inclusive. The letter must appear as the second or third character of the password. How many different passwords are possible? Choose the correct choice from the following
A) 5,040 B) 17,472 C) 26,000 D) 37,440 ... | 4 character password: DLDD First digit can be chosen in 8 ways. The letter can be chosen in 26 ways. Next digit can be chosen in 7 ways. Next digit can be chosen in 6 ways. This gives us 8*26*7*6ways Now, the letter can also be DDLD so there will be another 8*26*7*6 ways Total = 8*26*7*6*2 = 17,472 ways 1... | B | calc |
aqua_rat__1jFdDnsTbdXoTchi | How many three digit no's are between 100-500,where sum of two digit is 3rd?
Choose one: A) 24 B) 54 C) 60 D) 84 E) 94 | TOTAL PERMUTATIONS POSSIBLE = 18+16+14+12=
<gadget id="calculator">18+16+14+12</gadget>
<output>60</output>
60 ANSWER:60
<result>C</result> | C | calc |
ape210k__00582117 | (5/6)=((())/24)=(10/(()))=how much/36. | <result>30</result> | 30 | calc |
aqua_rat__8a9MRNTd2bqBi9zy | A certain sum amount to $1400 in 2 yrs and $2000 in five years on certain fixed simple interest. In how many yrs would the amount be $2040 had it been put at the rate of interest compounded annually?
Choose one: A) 5 B) 4 C) 3 D) 2 E) 1 | We can form equations as following: Initial amount = P, Total amount after interest = T, Interest per year = I T = P+I Given T1 = P+2I = 1400T2 = P+ 5I = 2000 From this we get, P = 1000I = 200 $ Now we know that simple interest is<Compound interest ( CI = SI only after 1st year if CI is compounded annually... | C | calc |
ape210k__00750599 | A rope is cut into three pieces, A is longer than B (1/4), C is shorter than B (2/5), A is 26 meters longer than C, how many meters is this rope? | <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">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 - (2/5)</gadget>
<output>3/5 = around 0.6</output>
<gadget id="ca... | 114 | calc |
aqua_rat__02fFPwdbRJHTu87D | How many positive even integers less than 100 contain digits 3 or 7? Choose the correct choice from the following:
A) 16 B) 17 C) 18 D) 10 E) 20 | Two digit numbers: 3 at tens place: 30,32,34,36,38 7 at tens place: 70,72,74,76,78 If 3 and 7 is at units place, the number cant be even Total:5+5=
<gadget id="calculator">5+5</gadget>
<output>10</output>
10 Answer 10
<result>D</result> | D | calc |
gsm8k__LeBbBn75ZUEmuwDM | An orphaned kitten was only 4 inches when he was found. In the next two weeks, he doubled in length, and by 4 months old, he had double in length again. What is its current length? | In two weeks, the kitten measured 4 x 2 =
<gadget id="calculator">4*2</gadget>
<output>8</output>
8 inches.
4 months later, the kitten measured 8 x 2 =
<gadget id="calculator">8*2</gadget>
<output>16</output>
16 inches.
<result>16</result> | 16 | calc |
aqua_rat__bWEXAzEyrDqy9jSC | One night a certain hotel rented 3/5 of its rooms, including 2/3 of their air conditioned rooms. If 3/5 of its rooms were air conditioned, what percent of the rooms that were not rented were air conditioned?
Choices: A) 50% B) 55% C) 60% D) 65% E) 70% | The rooms which were not rented is 2/5 The 50%C rooms which were not rented is (1/3)*(3/5) = 1/5 The percentage of unrented rooms which were 50%C rooms is (1/5) / (2/5) = 1/2 = 50% The answer is 50%.
<result>A</result> | A | calc |
ape210k__01200743 | A box of Coke has 24 bottles, and a box of Sprite also has 24 bottles. Now there are 12 boxes of Coke and 23 boxes of Sprite. How many bottles are there in total? | <gadget id="calculator">24 * 12</gadget>
<output>288</output>
<gadget id="calculator">24 * 13</gadget>
<output>312</output>
<gadget id="calculator">288 + 312</gadget>
<output>600</output>
<result>600</result> | 600 | calc |
ape210k__00441578 | 3. Girls in class 1 account for 4/9 of the whole class, and how many boys account for the whole class. | <gadget id="calculator">4 / 9</gadget>
<output>4/9 = around 0.444444</output>
<gadget id="calculator">1 - (4/9)</gadget>
<output>5/9 = around 0.555556</output>
<result>5/9 = around 0.555556</result> | 5/9 | calc |
math_qa__WWdVZkCnaTnMG15i | A dog is tied to a tree by a long nylon cord. If the dog runs from the due North side of the tree to the due South side of the tree with the cord extended to its full length at all items, and the dog ran approximately 30 feet, what was the approximate length of the nylon cord Q, in feet? Options
A) 30 B) 25 C) 15 D) 10... | <gadget id="calculator">30 / 3</gadget>
<output>10</output>
<result>D</result> | D | calc |
ape210k__00555527 | When Kobayashi calculated (1800-□)/24+36, he didn’t pay attention to the brackets in the question. First, he divided the number in □ by 24, and then calculated 1834 according to the order of the four arithmetic operations. The correct number of this question should be How many | <gadget id="calculator">1_836 - 1_834</gadget>
<output>2</output>
<gadget id="calculator">2 * 24</gadget>
<output>48</output>
<gadget id="calculator">1_800 - 48</gadget>
<output>1_752</output>
<gadget id="calculator">1_752 / 24</gadget>
<output>73</output>
<gadget id="calculator">73 + 36</gadget>
<output>109</outpu... | 109 | calc |
ape210k__00274489 | If a car drives from place A to place B, if the speed is increased by 20%, it can arrive 1 hour earlier than the original time; if the speed is increased by 30% after driving 100km at the original speed, it will also arrive earlier than the original time 1 hour to arrive. Find the distance between A and B. | <gadget id="calculator">6 - 5</gadget>
<output>1</output>
<gadget id="calculator">1 / 1</gadget>
<output>1</output>
<gadget id="calculator">6 * 1</gadget>
<output>6</output>
<gadget id="calculator">13 - 10</gadget>
<output>3</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<ga... | 360 | calc |
aqua_rat__bu8aXl8dJsGVyrx8 | A strain of bacteria reproduces @ 25% every 12 min. In how much time will it triple itself ??
Select the correct option.
A) 96 min
B) 72 min
C) 60 min
D) 48 min
E) 40 min | The original question is: A strain of bacteria reproduces at the rate of 25% every 12 min. In how much time will it triple itself ? 1.25^x = 3 --> x = ~5 --> five 12 minute periods = 60 minutes. Answer: 60 min.
<result>C</result> | C | calc |
ape210k__01087167 | 15 monkeys were divided into peaches, and each monkey got 8 peaches on average. Later, some monkeys came and redistributed. Each monkey only got 5 peaches on average. How many monkeys came again? | <gadget id="calculator">8 / 5</gadget>
<output>8/5 = around 1.6</output>
<gadget id="calculator">15 * (8/5)</gadget>
<output>24</output>
<gadget id="calculator">24 - 15</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
ape210k__00420218 | The total sales volume of a shopping mall in February was 1.7442 million yuan, and the total sales volume in January was 1.53 million yuan. By what percentage did total sales increase in February over January? | <gadget id="calculator">174.42 - 153</gadget>
<output>21.42</output>
<gadget id="calculator">21.42 / 153</gadget>
<output>0.14</output>
<result>0.14</result> | 0.14 | calc |
ape210k__00234412 | There are 160 bags of rice in the grain store, and the sold (2/5) is equal to the remaining (2/3), how many bags of rice are left in the grain store? | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(2/3) * 160</gadget>
<output>320/3 = around 106.666667</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(2/5) + (2/3)</gadget>
<output>16/15 = around 1.066667... | 60 | calc |
ape210k__00574941 | 3x=3.6, x=how much | <gadget id="calculator">3.6 / 3</gadget>
<output>1.2</output>
<result>1.2</result> | 1.2 | calc |
gsm8k__Ged9SPEUAQZf42Nw | Mark hires a singer for 3 hours at $15 an hour. He then tips the singer 20%. How much did he pay? | The cost was 15*3=$
<gadget id="calculator">15*3</gadget>
<output>45</output>
45.
So the tip was 45*.2=$
<gadget id="calculator">45*.2</gadget>
<output>9</output>
9.
So in total, he paid 45+9=$
<gadget id="calculator">45+9</gadget>
<output>54</output>
54.
<result>54</result> | 54 | calc |
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