id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00459230 | A fuel tank of a car has a bottom area of 12dm**3 measured from the inside and a height of 2.5dm. If each liter of gasoline weighs 0.8kg. How many kilograms of gasoline can this tank hold? | <gadget id="calculator">12 * 2.5 * 0.8</gadget>
<output>24</output>
<result>24</result> | 24 | calc |
aqua_rat__dsUu9QLlMhHnay4d | The food in a camp lasts for 20 men for 50 days. If twenty more men join, how many days will the food last? Choose the correct choice from the following answers: A) 22 days B) 25 days C) 28 days D) 16 days E) 27 days | one man can consume the same food in 20*50=
<gadget id="calculator">20*50</gadget>
<output>1_000</output>
1000 days. 20 more men join, the total number of men= 40 The number of days the food will last = 1000/40=
<gadget id="calculator">1000/40</gadget>
<output>25</output>
25 days. Answer:25 days
<result>B</resu... | B | calc |
aqua_rat__wXW7lmFHGKnTz5EH | A candidate got 35% of the votes polled and he lost to his rival by 2250 votes. How many votes were cast?
Choose the correct answer: A) 7500 B) 2776 C) 8767 D) 1997 E) 6991 | 35%-----------L 65%-----------W ------------------ 30%----------2250 100%---------? => 7500 7500nswer: 7500
<result>A</result> | A | calc |
ape210k__00468492 | After the severe drought in Southwest my country, all the teachers and students of Tairi Primary School actively donated money and materials to support the drought in the disaster area. How much did the class donate in total? | <gadget id="calculator">120.78 + 115.64 + 130.65</gadget>
<output>367.07</output>
<result>367.07</result> | 367.07 | calc |
gsm8k__Ny27PhhPFMhEICQx | Mark loves to see shows in theaters. He decided to visit the theater at least once a week. One performance lasts 3 hours. The price of the ticket depends on the time spent in the theater and stands at $5 for each hour. How much will Mark spend on visits to the theater in 6 weeks? | The price of one performance is 3 * $5 = $
<gadget id="calculator">3*5</gadget>
<output>15</output>
15.
Mark intends to go to the theater once a week, so in 9 weeks he will spend 6 * $15 = $
<gadget id="calculator">6*15</gadget>
<output>90</output>
90.
<result>90</result> | 90 | calc |
ape210k__00339382 | If a cylindrical piece of wood with a base diameter of 4 meters and a height of 4 meters is split in half along the diameter, the surface area will increase by how many square meters. | <gadget id="calculator">4 * 4 * 2</gadget>
<output>32</output>
<result>32</result> | 32 | calc |
ape210k__00027781 | Each basket of apples weighs 45 kilograms, and each basket of oranges weighs 50 kilograms. A certain fruit shop ships 25 baskets each of apples and oranges. How many kilograms less are the apples than the oranges? (two ways to answer) | <gadget id="calculator">50 * 25</gadget>
<output>1_250</output>
<gadget id="calculator">45 * 25</gadget>
<output>1_125</output>
<gadget id="calculator">1_250 - 1_125</gadget>
<output>125</output>
<result>125</result> | 125 | calc |
aqua_rat__Kutl53hT4RiUTOnS | A dishonest milkman wants to make a profit on the selling of milk. He would like to mix water (costing nothing) with milk costing Rs.33 per litre so as to make a profit of 25% on cost when he sells the resulting milk and water mixture for Rs.36 In what ratio should he mix the water and milk? Choose the correct choice:... | water = w (liter) Milk = m (liter) ==> Cost = Price x Quantity = 0.33m ==> Revenue = Price x Quantity = 0.36(m + w) ==> Profit =0.36(m+w) - 0.33m = 0.25*(0.33m)[25% of cost] ==> 0.36m + 0.36w - 0.33m = 0.0825m ==> 0.0525m = 0.36w ==> m/w = 0.36/0.0525 = 124/21 --OR-- w/m = 21/124 2... | E | calc |
aqua_rat__7KsgqXW81iOil6Ao | The population of a town increased from 1,45,000 to 2,30,500 in a decade. The average percent increase of population per year is: Choose one.
A) 4.37% B) 5.8% C) 6.8% D) 8.75% E) None | Explanation: Increase in 10 years = (230500 - 145000)=
<gadget id="calculator">(230500 - 145000)</gadget>
<output>85_500</output>
85500. Increase%= (85500/145000 x 100)% = 58%. Required average = (58/10)=
<gadget id="calculator">(58/10)</gadget>
<output>29/5 = around 5.8</output>
5.8%. Answer: Option 5.8%
<resu... | B | calc |
ape210k__00291639 | Xiaoli's mother deposits 5,000 yuan in the bank for a period of three years, with an annual interest rate of 2.25% (the tax rate is ignored). How much interest will she be entitled to at maturity? | <gadget id="calculator">2.25 / 100</gadget>
<output>0.0225</output>
<gadget id="calculator">5_000 * 0.0225 * 3</gadget>
<output>337.5</output>
<result>337.5</result> | 337.5 | calc |
ape210k__00498965 | 3 sets of rice milling machines mill 4860 kg of rice in 4.5 hours. According to this calculation, how many kilograms of rice are milled per hour on average? | <gadget id="calculator">4_860 / 4.5 / 3</gadget>
<output>360</output>
<result>360</result> | 360 | calc |
ape210k__00833079 | The product of the two factors is 86.4. If two factors are multiplied by 10 at the same time, what is the product? | <gadget id="calculator">86.4 * 10 * 10</gadget>
<output>8_640</output>
<result>8_640</result> | 8_640 | calc |
aqua_rat__o5skqeGUiBK4HD1u | In how many of ways can 4 balls be placed in 3 tins if any number of balls can be placed in any tin? Choices
A) 5C4 B) 5P4 C) 3^4 D) 4^5 E) 5^5 | Now, each of the 4 different balls has 3 choices (3 tins to go to), so total # of distribution is 3*3*3*3=3^4. Answer: 3^4.
<result>C</result> | C | calc |
ape210k__00436150 | To make a cuboid frame with a length of 30cm, a width of 20cm, and a height of 20cm, how many centimeters of wood do you need at least? | <gadget id="calculator">30 + 20 + 20</gadget>
<output>70</output>
<gadget id="calculator">70 * 4</gadget>
<output>280</output>
<result>280</result> | 280 | calc |
math_qa__Q56EeVdPpCiG5J4X | How many 9-digits number are Palindromic numbers? A Palindromic number reads the same forward and backward, example 123454321. Options: A) 100 B) 610 C) 729 D) 900 E) 90000 | <gadget id="calculator">9 * 10</gadget>
<output>90</output>
<gadget id="calculator">90 * 10</gadget>
<output>900</output>
<gadget id="calculator">900 * 10</gadget>
<output>9_000</output>
<gadget id="calculator">9_000 * 10</gadget>
<output>90_000</output>
<result>E</result> | E | calc |
ape210k__00072353 | If a square white cloth is placed on a round table with a radius of 50 cm and a height of lm, the four corners of the white cloth just touch the ground. May I ask: How many square meters is the area of the square white cloth? | <gadget id="calculator">1 * 2</gadget>
<output>2</output>
<gadget id="calculator">0.5 * 2</gadget>
<output>1</output>
<gadget id="calculator">2 + 1</gadget>
<output>3</output>
<gadget id="calculator">3 / 2</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">(3/2) / 2</gadget>
<output>3/4 = around 0.7... | 9/2 | calc |
aqua_rat__7NhapKPxoo6i4f2b | Mr. X, a mathematician, defines a number as 'connected with 6 if it is divisible by 6 or if the sum of its digits is 6, or if 6 is one of the digits of the number. Other numbers are all 'not connected with 6'. As per this definition, the number of integers from 1 to 60 (both inclusive) which are not connected with 6 is... | Explanation: Numbers from 1 to 60, which are divisible by 6 are : 6,12,18, 24, 30, 36,42, 48, 54, 60. There are 10 such numbers. Numbers from 1 to 60, the sum of whose digits is 6 are : 6, 15, 24, 33, 42, 51, 60. There are 7 such numbers of which 4 are common to the above ones. So, there are 3such uncommon numb... | D | calc |
aqua_rat__maX0y2er7FKFdseC | The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25% then determine the value of x. Choose the correct answer.
A) 14 B) 15 C) 16 D) 17 E) 18 | Explanation: Let the cost price 1 article = Re 1 16ost price of x articles = x S.P of x articles = 20 Gain = 20 -x =>25=(20−x/ x∗100) =>2000−100x=25x =>x=16 Option 16
<result>C</result> | C | calc |
aqua_rat__Ha7s5H7KGLvdoQu6 | Population of a city in 20004 was 1500000. If in 2005 there isan increment of 15% , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45%, then find the population of city atthe end of the year 2007 Choose the correct choice
A) 354354 B) 545454 C) 465785 D) 456573 E) 3251625/2 | Required population = P (1 + R1/100)(1 - R2/100)(1 + R3/100) = P (1 + 15/100)(1 - 35/100)(1 + 45/100) = 3251625/2 3251625/2
<result>E</result> | E | calc |
ape210k__00921641 | few days ago, the school held a love activity. The 52 students in our class were divided into 4 groups. The first group donated 195 yuan, the second group donated 212 yuan, the third group donated 207 yuan, and the fourth group donated 218 yuan. How much does the group donate? | <gadget id="calculator">195 + 212 + 207 + 218</gadget>
<output>832</output>
<gadget id="calculator">832 / 4</gadget>
<output>208</output>
<result>208</result> | 208 | calc |
ape210k__01170081 | Xiaohua wants to read a 120-page book. After reading it for two days, the ratio of the ones that have been read to the ones that have not been read is 5:7. How many pages have you read? | <gadget id="calculator">5 + 7</gadget>
<output>12</output>
<gadget id="calculator">5 / 12</gadget>
<output>5/12 = around 0.416667</output>
<gadget id="calculator">120 * (5/12)</gadget>
<output>50</output>
<result>50</result> | 50 | calc |
ape210k__01142435 | A train has 118 seats in each carriage, and this train has 14 such carriages. How many passengers can this train take in total? | <gadget id="calculator">118 * 14</gadget>
<output>1_652</output>
<result>1_652</result> | 1_652 | calc |
ape210k__00107377 | Use a balance to weigh 4 times, how many table tennis balls can be found out of the only one that is unqualified due to overweight? | <gadget id="calculator">3 ** 4</gadget>
<output>81</output>
<result>81</result> | 81 | calc |
ape210k__00551506 | Simple calculation: 660-630/6*5. | <gadget id="calculator">630 / 6</gadget>
<output>105</output>
<gadget id="calculator">105 * 5</gadget>
<output>525</output>
<gadget id="calculator">660 - 525</gadget>
<output>135</output>
<result>135</result> | 135 | calc |
ape210k__00040101 | The sum of two prime numbers is 20. How many sets of such prime numbers are there? | <result>2</result> | 2 | calc |
aqua_rat__Mp8JQDxZRb0oJmAH | A train 280 m long, running with a speed of 63 km / hr will pass a tree in Answers
A) 12 sec B) 15 sec C) 16 sec D) 20 sec E) None | Sol. Speed = (63 x 5/18) m/sec. = 35 /2 m / sec. Time taken = (280 x 2/35) sec = 16 sec Answer 16 sec
<result>C</result> | C | calc |
ape210k__00977273 | Divide a bag of fruit weighing (3/5) kg into 3 parts on average, and each part is the amount of this bag of fruit. | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<result>1/3 = around 0.333333</result> | 1/3 | calc |
ape210k__00851513 | In the third grade, 26 students were selected to participate in the extracurricular activities organized by the school. All of them won prizes. Among them, 19 people won prizes in the rope skipping competition, and 17 people won prizes in the speech contest. How many students participated in both the rope skipping cont... | <gadget id="calculator">17 - 26</gadget>
<output>-9</output>
<gadget id="calculator">19 + (-9)</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__00129414 | The garment factory planned to process 5,400 pieces of clothing in March, but it was completed in the first half of the month (3/4), and in the second half of the month (2/3). How many more pieces were processed this month than originally planned? | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(2/3) - 1</gadget>
<output>-1/3 = around -0.333333</output>
<gadget id="calculator">(3/4) + (-1/3)</gadget>
<output>5/12 = around 0.416667</o... | 2_250 | calc |
aqua_rat__52RtOoOZq18gje1y | Alfred buys an old scooter for $4700 and spends $600 on its repairs. If he sells the scooter for $5800, his gain percent is? Choose the correct choice.
A) 5.45% B) 6.23% C) 7% D) 9.43% E) 10% | C.P. = 4700+600=
<gadget id="calculator">4700+600</gadget>
<output>5_300</output>
$5300 S.P.= $5800 Gain = 5800-5300=
<gadget id="calculator">5800-5300</gadget>
<output>500</output>
$500 Gain%= 500/5300 * 100 = 9.43% Answer is 9.43%
<result>D</result> | D | calc |
aqua_rat__39CUFX7oM7hnB1jw | The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is Choose the correct option.
A) 22
B) 21
C) 28
D) 27
E) 31 | Lot the total number of workers be v Then, 8OOOv = (12000 * 7) + 6000 (v - 7) <=> 2000v = 42000 <=> v = 21. Answer: 21
<result>B</result> | B | calc |
aqua_rat__gGkVk06hPI8SdHJr | The mean of 50 observations was 36. It was found later that an observation 47 was wrongly taken as 23. The corrected new mean is
Select the correct option
A) 35.24 B) 36.16 C) 36.22 D) 36.48 E) None | Solution Correct sum = (36x50+47-23) = 1824. ∴ Correct mean = 1824 / 50 = 36.48. Answer 36.48
<result>D</result> | D | calc |
ape210k__00245263 | At 3:36, what is the angle formed by the hour hand and the minute hand? | <gadget id="calculator">36 / 60</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">(3/5) * 360</gadget>
<output>216</output>
<gadget id="calculator">360 / 12</gadget>
<output>30</output>
<gadget id="calculator">3 * 30</gadget>
<output>90</output>
<gadget id="calculator">(3/5) * 30</gadget>
<output>1... | 108 | calc |
ape210k__00231706 | The current price of a commodity is 400 yuan, which is 100 yuan lower than the original price. How much is the reduction from the original price? | <gadget id="calculator">400 + 100</gadget>
<output>500</output>
<gadget id="calculator">100 / 500</gadget>
<output>1/5 = around 0.2</output>
<result>1/5 = around 0.2</result> | 1/5 | calc |
ape210k__00630231 | If a tree is planted every 4 meters around the playground, and a total of 21 trees are planted, what is the perimeter of the playground in meters? | <gadget id="calculator">21 * 4</gadget>
<output>84</output>
<result>84</result> | 84 | calc |
ape210k__00034820 | Guangming Elementary School runs a factory to manufacture 4,500 sets of teaching aids, which is planned to be completed in 15 days. Actually, 75 more sets are made every day than the original plan. How many days will it take to complete the original production task? | <gadget id="calculator">4_500 / 15</gadget>
<output>300</output>
<gadget id="calculator">75 + 300</gadget>
<output>375</output>
<gadget id="calculator">4_500 / 375</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
ape210k__00198384 | Two identical triangles are put together to form a parallelogram with an area of 8.2 square centimeters. What is the area of one of the triangles in square meters square centimeters? | <gadget id="calculator">8.2 / 2</gadget>
<output>4.1</output>
<result>4.1</result> | 4.1 | calc |
aqua_rat__08hnYO7tJjgkvoDk | Working alone, machine X can manufacture 1,000 nails in 12 hours. Working together, machines X and Y can manufacture 1,000 nails in 6 hours. How many hours does it take machine Y to manufacture 1,000 nails working alone?
Select the correct option.
A) 3 9/17 B) 5 1/3 C) 7 D) 7 1/5 E) 12 | rate of machine x = 1000/12 (1000/12 + y)6=1000 y=500/6=250/3 250/3 * t = 1000 t=12 E. 12
<result>E</result> | E | calc |
ape210k__00473725 | The radius of the base of a cone is 4cm and the height is 5cm. What is its volume in cm**3. | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">4 ** 2</gadget>
<output>16</output>
<gadget id="calculator">(1/3) * 3.14 * 16 * 5</gadget>
<output>83.733333</output>
<result>83.733333</result> | 83.733333 | calc |
ape210k__00355811 | A water conservancy site dug a canal (3/4) kilometers long, and (1/3) was dug in the first week. How many kilometers were dug in the first week? How many. | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(3/4) * (1/3)</gadget>
<output>1/4 = around 0.25</output>
<result>1/4 = around 0.25</result> | 1/4 | calc |
ape210k__01132741 | There are 5 black balls and 4 white balls of the same shape in a box, what is the probability of drawing a black ball? | <gadget id="calculator">5 + 4</gadget>
<output>9</output>
<gadget id="calculator">5 / 9</gadget>
<output>5/9 = around 0.555556</output>
<result>5/9 = around 0.555556</result> | 5/9 | calc |
ape210k__00969031 | The students moved bricks to repair the garden. There were 243 students in the fifth grade and 257 students in the sixth grade. Each person moved 4 bricks on average. How many bricks did they move in total? | <gadget id="calculator">243 + 257</gadget>
<output>500</output>
<gadget id="calculator">500 * 4</gadget>
<output>2_000</output>
<result>2_000</result> | 2_000 | calc |
ape210k__00410897 | "Three Gorges Dam" is a famous tourist attraction in Yichang. It received about 25 million tourists in the whole year last year. (4/5) of the number of tourists received in the first half of the year. How many million tourists did you receive on average every month in the third quarter? | <gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(4/5) / 3</gadget>
<output>4/15 = around 0.266667</output>
<gadget id="calculator">2_500 * (3/5) * (4/15)</gadget>
<output>400</output>
<result>40... | 400 | calc |
ape210k__00551177 | Solution ratio: (5/6)X=1.6:0.4. | <gadget id="calculator">1.6 / 0.4</gadget>
<output>4</output>
<gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">4 / (5/6)</gadget>
<output>24/5 = around 4.8</output>
<result>24/5 = around 4.8</result> | 24/5 | calc |
ape210k__00425205 | The numerator of a fraction is smaller than the denominator, and the fraction is (7/9), what is the possible fraction | <gadget id="calculator">63 / 9 / 9</gadget>
<output>7/9 = around 0.777778</output>
<result>7/9 = around 0.777778</result> | 7/9 | calc |
aqua_rat__L2NCp2ZzLoiyYtmJ | Hillary and Eddy are climbing to the summit of Mt. Everest from a base camp 5,000 ft from the summit. When they depart for the summit at 06:00, Hillary climbs at a rate of 800 ft/hr with Eddy lagging behind at a slower rate of 500 ft/hr. If Hillary stops 1000 ft short of the summit and then descends at a rate of 1,000 ... | Solution:H stopped 1000 ft before reaching the final point, time taken to reach 4000 ft= 4000/800=
<gadget id="calculator">4000/800</gadget>
<output>5</output>
5hrs. this means she reached there at 11:00. speed difference between them is 800-500=
<gadget id="calculator">800-500</gadget>
<output>300</output>
300 f... | B | calc |
math_qa__WnViWl3e2ZPUnh8W | 6 lights begin to flash together at 12 : 00 noon and flash respectively at intervals of 3 , 4 , 5 , 6 , 7 , and 8 seconds . not including the flash at 12 : 00 noon , how many more times will all 6 lights flash together before 1 : 00 pm ( i . e . one hour later ) ? Pick
A) 4 B) 6 C) 8 D) 10 E) 12 | <gadget id="calculator">1 * 3_600</gadget>
<output>3_600</output>
<gadget id="calculator">lcm(7, 8)</gadget>
<output>56</output>
<gadget id="calculator">lcm(3, 4)</gadget>
<output>12</output>
<gadget id="calculator">lcm(5, 6)</gadget>
<output>30</output>
<gadget id="calculator">lcm(12, 30)</gadget>
<output>60</outp... | A | calc |
ape210k__00135333 | The farm has 286 roosters and 357 hens. There are 194 fewer ducks than chickens. How many ducks are there on the farm? | <gadget id="calculator">357 - 194</gadget>
<output>163</output>
<gadget id="calculator">286 + 163</gadget>
<output>449</output>
<result>449</result> | 449 | calc |
aqua_rat__xEKjZ2ybOL36uW8Z | A person started from point A to point B and returned back to A with a speed of 60 kmh. If the distance between A and B is 120km, calculate the time he travelled Select the correct option:
A) 4 hours B) 2 hours C) 3 hours D) 6 hours E) 5 hours | Time = Distance/Speed Total distance = (from 4 hours->B and from B->4 hours) = 120+120=
<gadget id="calculator">120+120</gadget>
<output>240</output>
240 km Speed= 60 kmh 240/60=
<gadget id="calculator"> 240/60</gadget>
<output>4</output>
4 4 hoursnswer: 4 hours
<result>A</result> | A | calc |
aqua_rat__nJclwwPnifli9q3p | John deposited $10,000 to open a new savings account that earned 8 percent annual interest, compounded quarterly. If there were no other transactions in the account, what was the amount of money in John’s account 6 months after the account was opened? Choose the correct choice from the following options:
A) $10,100 B)... | 8 percent annual interest compounded quarterly --> 2% in 3 moths. For the first 3 moths interest was 2% of $10,000, so $200; For the next 3 moths interest was 2% of $10,000,plus 4 earned on previous interest of $100, so $200+$4=$204; Total interest for 6 months was $200+$204 200+ 4=
<gadget id="calculator"> ... | E | calc |
ape210k__00351155 | There are 725 boys in Bangtou Central Primary School, 35 more than girls. How many students are there in the school? | <gadget id="calculator">725 - 35</gadget>
<output>690</output>
<gadget id="calculator">690 + 725</gadget>
<output>1_415</output>
<result>1_415</result> | 1_415 | calc |
aqua_rat__LCB19fhfcLxssWZt | A man rows his boat 72 km downstream and 30 km upstream, taking 3 hours each time. Find the speed of the stream?
Choose the correct choice from the following answers.
A) 6 kmph B) 5 kmph C) 2 kmph D) 8 kmph E) 7 kmph | Speed downstream = d/t = 72/(3)=
<gadget id="calculator">72/(3)</gadget>
<output>24</output>
24 kmph Speed upstream= d/t = 30/(3)=
<gadget id="calculator">30/(3)</gadget>
<output>10</output>
10 kmph The speed of the stream= (24 - 10)/2=
<gadget id="calculator">(24 - 10)/2</gadget>
<output>7</output>
7 kmph Ans... | E | calc |
aqua_rat__IF0ODF0jnYUOSdp9 | Sandy bought 65 books for $1080 from one shop and 55 books for $840 from another shop. What is the average price that Sandy paid per book? Choose the correct choice from the following choices:
A) $14
B) $16
C) $18
D) $20
E) $22 | average price per book = (1080 + 840) / (65 + 55) = 1920 / 120=
<gadget id="calculator">1920 / 120</gadget>
<output>16</output>
$16 The answer is $16.
<result>B</result> | B | calc |
ape210k__00357417 | If 400 saplings are planted, 10 of them do not survive. What is the survival rate? | <gadget id="calculator">400 - 10</gadget>
<output>390</output>
<gadget id="calculator">390 / 400</gadget>
<output>39/40 = around 0.975</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(39/40) * 1</gadget>
<output>39/40 = around 0.975</output>
<result>39/40 = around 0.97... | 39/40 | calc |
aqua_rat__iZevxa9AZVjciiLt | A clothing store sells t-shirts arranged on display such that each of the five different colors of t-shirts, orange, green, red, blue, and purple are consecutive in a repeating pattern. If six consecutively displayed t-shirts are purchased, what is the probability that two of the t-shirts are purple? Select the correc... | After orange, green, red, blue, and purple, the next t-shirt can be of any given five colours, therefore we have total five possibilites, out of which we need purple i.e. 1 therefore prob is 1/5. 1/5orrect answer is 1/5.
<result>C</result> | C | calc |
aqua_rat__0A2KXqajJlzQQvLr | The average of first five prime numbers: Choose the correct choice from the following choices.
A) 5.6 B) 11.2 C) 12.9 D) 6.3 E) 7.4 | Explanation: The first five prime numbers is 2, 3, 5, 7, 11 5.6verage = 28/5=
<gadget id="calculator">28/5</gadget>
<output>28/5 = around 5.6</output>
5.6 5.6nswer: Option 5.6
<result>A</result> | A | calc |
aqua_rat__uNA9KlpVTgqbObI9 | Set A consists of 19 elements. The average of set A is L. If a new element is added to the set and the average grows by K, what is the value of the new element? Choose the correct choice from the following:
A) a) L(1 + K / 5) B) b) L * (K/100) - 20L C) c) 20L(1+K/100) D) d) 20(1+K/100)-19L E) e) L*(K/5)-19 | Let's assume the value of new element to bea. So converting the word problem into equation, (19*L + a) / (19 + 1) = L + k ==> after solving the equation we will get a (value of newly added element) = L + 20K But according to the answer options, problem writer wanted to conveyk% percent rise in average value. I... | A | calc |
aqua_rat__il2730p5a2ahOuVB | A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue? Choose the most appropriate option
A) 10/21 B) 10/29 C) 10/20 D) 10/22 E) 10/24 | Explanation: Total number of balls = (2 + 3 + 2)=
<gadget id="calculator">(2 + 3 + 2)</gadget>
<output>7</output>
7. Let S be the sample space. Then, n(S)= Number of ways of drawing 2 balls out of 7 = = 21 Let E = Event of drawing 2 balls, none of which is blue. n(E) = Number of ways of drawing 2 balls out o... | A | calc |
ape210k__00259369 | The area of the overlapping part of the rectangle and the square is 1 square centimeter, accounting for (1/10) of the area of these two figures. What is the area of their non-overlapping part? | <gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 / (1/10)</gadget>
<output>10</output>
<gadget id="calculator">10 - 1</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
aqua_rat__4VJy58UKTtL3QWe2 | Points M(13,22) and N(5,8) lie on the xy - plane. What is the midpoint of line segment MN?
Choose the correct choice from the following choices: A) (5,0) B) (0,5) C) (0, (136^(1/2))/2) D) (3/2,0) E) (9,15) | The midpoint of a segment is exactly halfway between its endpoints and it's location can be found using the Midpoint Theorem, which states:- The x-coordinate of the midpoint is the average of the x-coordinates of the two endpoints.• Likewise, the y-coordinate is the average of the y-coordinates of the endpoints. So... | E | calc |
aqua_rat__oB46H1EIkmV3wlKJ | Which greatest possible length can be used to measure exactly 12 meter 15 cm, 10 meter 15 cm and 10 meter 65 cm Pick one: A) 45cm B) 25cm C) 4cm D) 5cm E) 50cm | Explanation: Convert first all terms into cm. i.e. 1215 cm, 1015cm, 1065cm. Now whenever we need to calculate this type of question, we need to find the HCF. HCF of above terms is 5. Option 5cm
<result>D</result> | D | calc |
ape210k__00459542 | Cut a piece of cylindrical steel into the largest cone, the cut part weighs 8kg, how much does this piece of cylindrical steel weigh in kg | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">8 / (2/3)</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
ape210k__00719027 | What is the greatest common factor of the integers 8 and 12 | <gadget id="calculator">2 * 2</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
ape210k__01102337 | There are a bunch of watermelons, the first half of which is taken out is 3 less, the remaining half is taken for the second time and the remaining half is taken for the third time, there are still 5 watermelons, how many are there? watermelon? | <gadget id="calculator">5 * 2</gadget>
<output>10</output>
<gadget id="calculator">10 + 2</gadget>
<output>12</output>
<gadget id="calculator">12 * 2</gadget>
<output>24</output>
<gadget id="calculator">24 - 3</gadget>
<output>21</output>
<gadget id="calculator">21 * 2</gadget>
<output>42</output>
<result>42</resu... | 42 | calc |
aqua_rat__ie1tEp0T7LwRzaWA | There are 23 balls in a box: 10 balls are green, 8 are blue and 5 are white. Then 1 green and 1 blue balls are taken from the box and put away. What is the probability that a blue ball is selected at random from the box? Choose the correct answer
A) 7/21
B) 4/13
C) 3/13
D) 5/13
E) 6/13 | If 1 green and 1 blue ball are taken from the box, then there are 9 green, 7 blue and 5 white balls, a total of 21 balls. If one ball is selected at random, the probability that it is blue is given by 7 / 21 7/21nswer : 7/21
<result>A</result> | A | calc |
aqua_rat__dUHBiBDeUQn4C3DW | The sum of two numbers is 72, and one of them is 12 more than the other. What are the two numbers?
Select.
A) 36-48
B) 50-34
C) 60-24
D) 30-42
E) 21-63 | In this problem, we are asked to find two numbers. Therefore, we must let x be one of them. Let x, then, be the first number. We are told that the other number is 12 more, x + 12. The problem states that their sum is 72: word problem = 72 The line over x + 12 is a grouping symbol called a vinculum. It saves us ... | D | calc |
ape210k__00221809 | The scoring rules in football leagues are generally: 3 points for a win; 1 point for a draw; 0 points for a loss. A football team played 15 games in a season and scored 33 points. If the order of winning and losing is not considered, how many possibilities are there for the team to win, lose and draw? | <result>3</result> | 3 | calc |
ape210k__00026483 | Apples are 2.5 yuan per kilogram, and cherries are 8.6 yuan per kilogram. Naughty bought 6 kilograms of apples and 2 kilograms of cherries. He gave the salesperson 50 yuan. How much should I get back? | <gadget id="calculator">2.5 * 6</gadget>
<output>15</output>
<gadget id="calculator">8.6 * 2</gadget>
<output>17.2</output>
<gadget id="calculator">50 - 15 - 17.2</gadget>
<output>17.8</output>
<result>17.8</result> | 17.8 | calc |
aqua_rat__mlEa91okllFiWSSX | A train crosses a platform in 15 sec, same train crosses another platform of length 250 m in 20 sec. If the speed of the train is 15 m/sec then find the length of the platform? Pick one:
A) 277m
B) 180m
C) 165m
D) 278m
E) 175m | Length of the train be ‘X’ (X + 250)/20 = 15 X = 50m Let the length of the platform be y (y + 50)/15 = (50 + 250)/20 4y + 200 = 900 X = 1750m Answer: 175m
<result>E</result> | E | calc |
ape210k__00603523 | A cylinder is 48m**3 larger than a cone with the same base and height. What is the volume of the cone in m**3? | <gadget id="calculator">3 - 1</gadget>
<output>2</output>
<gadget id="calculator">48 / 2</gadget>
<output>24</output>
<result>24</result> | 24 | calc |
ape210k__00606161 | The original price of a set of furniture is 5,000 yuan, and it is sold at a 20% discount. What is the current price? | <gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">5_000 * (4/5)</gadget>
<output>4_000</output>
<result>4_000</result> | 4_000 | calc |
ape210k__00730385 | What is the sum of the product of 25 and 30 times 5? | <gadget id="calculator">30 * 5</gadget>
<output>150</output>
<gadget id="calculator">25 + 150</gadget>
<output>175</output>
<result>175</result> | 175 | calc |
ape210k__00586180 | Aunt Wang's monthly salary is 3,800 yuan, and the excess of 2,500 yuan is subject to personal income tax at 5%. How much is Aunt Wang's monthly after-tax salary? | <gadget id="calculator">3_800 - 2_500</gadget>
<output>1_300</output>
<gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">1_300 * (1/20)</gadget>
<output>65</output>
<result>65</result> | 65 | calc |
ape210k__00553128 | Uncle Wang has to make 600 parts, 90 of which were made in the first 3 hours. How many hours will it take to make all the parts? (Solve with ratio) | <gadget id="calculator">600 - 90</gadget>
<output>510</output>
<gadget id="calculator">90 / 3</gadget>
<output>30</output>
<gadget id="calculator">510 / 30</gadget>
<output>17</output>
<result>17</result> | 17 | calc |
aqua_rat__pFX0SFCdaFXbztly | By selling an article for $90, a person gains $15. What is the gain %? Select the correct option.
A) 25% B) 30% C) 50% D) 20% E) 10% | S.P. = $90 Gain = $15 C.P. = 90-15=
<gadget id="calculator">90-15</gadget>
<output>75</output>
75 Gain%= 15/75 * 100=
<gadget id="calculator">15/75 * 100</gadget>
<output>20</output>
20% Answer is 20%
<result>D</result> | D | calc |
math_qa__svoVhkGjmlShNpCK | 12 is 6% of a, and 6 is 12% of b. c equals b/a. What is the value of c? Answers:
A) 1 / 2
B) 1 / 3
C) 1 / 4
D) 1 / 6
E) 1 / 12 | <gadget id="calculator">6 / 12</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) * 100</gadget>
<output>50</output>
<gadget id="calculator">12 / 6</gadget>
<output>2</output>
<gadget id="calculator">2 * 100</gadget>
<output>200</output>
<gadget id="calculator">50 / 200</gadget>
<output>1/4 = ... | C | calc |
aqua_rat__5BgVcW383xWJtxJU | What is the unit digit in (4137)754? Pick
A) 6
B) 5
C) 9
D) 13
E) 15 | Explanation: Unit digit in (4137)754 = Unit digit in {[(4137)4]188 x (4137)2} =Unit digit in { 292915317923361 x 17114769 } = (1 x 9) = 9 9
<result>C</result> | C | calc |
gsm8k__aFNpGxf0r3gTh8X8 | A young girl pours 23 blue beads and 16 yellow beads into a bowl. She divides the total into 3 equal parts, removes some beads from each part, and doubles the rest to have 6 beads in each part now. How many beads were removed from each part? | There are 23+16=
<gadget id="calculator">23+16</gadget>
<output>39</output>
39 beads in the bowl.
Dividing them into 3 equal parts give 39/3=
<gadget id="calculator">39/3</gadget>
<output>13</output>
13 beads each.
Before doubling the number of beads, she had 6/2=
<gadget id="calculator">6/2</gadget>
<output>3</output>... | 10 | calc |
ape210k__00492535 | kg of candy is divided into 8 packages on average, what is the weight of each package of candy? | <gadget id="calculator">5 / 8</gadget>
<output>5/8 = around 0.625</output>
<result>5/8 = around 0.625</result> | 5/8 | calc |
ape210k__00025370 | 2356-159-256． | <gadget id="calculator">2_356 - 159 - 256</gadget>
<output>1_941</output>
<result>1_941</result> | 1_941 | calc |
ape210k__00151813 | In a ratio, the two outer terms are reciprocals of each other, and one of the inner terms is 3.5. what is the other term | <gadget id="calculator">1 / 3.5</gadget>
<output>0.285714</output>
<result>0.285714</result> | 0.285714 | calc |
ape210k__00571341 | Multiply the number of yellow balloons by 3 and subtract 12 to get the same number of red balloons, which are 90. How many yellow balloons are there? | <gadget id="calculator">90 + 12</gadget>
<output>102</output>
<gadget id="calculator">102 / 3</gadget>
<output>34</output>
<result>34</result> | 34 | calc |
ape210k__00294203 | (1/3)*(1/4)/(1/3)*(1/4)= | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/4) / (1/3)</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(1/3) * (3/4) * (1/4)</gadget>
<output>1/16 = around 0.0625... | 1/16 | calc |
aqua_rat__kGrjiMmBpIo1C1QF | In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green? Choose the correct choice from the following choices: A) 2/3 B) 3/4 C) 7/19 D) 8/21 E) None | Solution Total number of balls = (8 + 7 + 6)=
<gadget id="calculator">(8 + 7 + 6)</gadget>
<output>21</output>
21. Let E= event that the ball drawn is neither red nor green =event that the ball drawn is red. Therefore, n(E) = 8. P(E) = 8/21. Answer 8/21
<result>D</result> | D | calc |
ape210k__00444952 | In a division formula, the dividend is 270, the divisor is the difference between 47 and 38, what is the quotient | <gadget id="calculator">47 - 38</gadget>
<output>9</output>
<gadget id="calculator">270 / 9</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
ape210k__01039271 | Shengshi Jiayuan has built 9 new buildings, which can accommodate 810 households in total. How many households live in each building on average? | <gadget id="calculator">810 / 9</gadget>
<output>90</output>
<result>90</result> | 90 | calc |
math_qa__YYmSemLYtCWvx0Hs | If 3 men or 4 women can reap a field in 10 days how long will 5 men and 6 women take to reap it? Choose the correct choice from the following:
A) 19 / 60 B) 9 / 60 C) 2 / 3 D) 5 / 18 E) 6 / 24 | <gadget id="calculator">10 / 3</gadget>
<output>10/3 = around 3.333333</output>
<gadget id="calculator">5 * (10/3)</gadget>
<output>50/3 = around 16.666667</output>
<gadget id="calculator">10 / 4</gadget>
<output>5/2 = around 2.5</output>
<gadget id="calculator">6 * (5/2)</gadget>
<output>15</output>
<gadget id="ca... | A | calc |
ape210k__00573189 | The sum of the numerator and the denominator of a fraction is 76, which is (1/3) after dividing. What is this fraction? | <gadget id="calculator">1 + 3</gadget>
<output>4</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">76 * (3/4)</gadget>
<output>57</output>
<gadget id="calculator">(1/4) / 57</gadget>
<o... | 1/3 | calc |
ape210k__00021352 | The chemical fertilizer factory produced 56 tons of chemical fertilizers, packed in a pack of 50 kg. If each car can hold 160 bags, how many cars are needed to transport this batch of fertilizer? | <gadget id="calculator">56 * 1_000</gadget>
<output>56_000</output>
<gadget id="calculator">56_000 / 160</gadget>
<output>350</output>
<result>350</result> | 350 | calc |
math_qa__UyuAHDhqYbdMUXG7 | Michelle deposited a certain sum of money in a savings account on July 1st, 2007. She earns an 6.4% interest compounded semiannually. The sum of money in the account on December 31st, 2009 is approximately what percent of the initial deposit? Choose the most appropriate option
A) 117 % B) 120 % C) 121 % D) 135 % E) 140... | <gadget id="calculator">6.4 / 100</gadget>
<output>0.064</output>
<gadget id="calculator">0.064 / 2</gadget>
<output>0.032</output>
<gadget id="calculator">1 + 0.032</gadget>
<output>1.032</output>
<gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">1.032 ** 5</gadget>
<output>1.170573... | A | calc |
ape210k__01158397 | A batch of goods has 40 tons, and a truck has been transported exactly 8 times. What is the average percentage of this batch of goods transported each time? | <gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<result>1/8 = around 0.125</result> | 1/8 | calc |
aqua_rat__qKUHxol8tibeiMVj | In an xy-coordinate plane, a line is defined by y = kx + 1. If (1, b), (a, 4), and (a, b+1) are three points on the line, where a and b are unknown, then k = ?
Choose one:
A) 1/2
B) 1
C) 3/2
D) 2
E) 5/2 | b=k+1...(1) b+1=ak+1...(2) 4=ak+1...(3) Taking (2) and (3) 4=b+1 b=3 Taking (1) 3=k+1 k=2 Answer : 2
<result>D</result> | D | calc |
ape210k__00456216 | There are 20 boys in a class, more than girls (1/4), how many fewer girls than boys? | <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">20 / (5/4)</gadget>
<output>16</output>
<gadget id="calculator">20 - 16</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
gsm8k__pENTSCLBqrdgjJDm | Josh and Anna were both born on August 17th, but in different years. To consolidate celebrations they also got married on August 17 when Josh turned 22. If today they're celebrating 30 years of marriage and their combined age is exactly 5 times what Josh's age was when they married, how old was Anna when they got marri... | We know that Josh must be 30 years older than his age when they got married, therefore he is 30 + 22 =
<gadget id="calculator">30+22</gadget>
<output>52</output>
52 years old today.
If their current combined age is 5 times the age Josh was when they married (22), then their total combined age is 5 * 22 =
<gadget id="... | 28 | calc |
ape210k__00564365 | Make the largest circle with wire. If the wire is shortened by 20%, how much will the area of the circle be reduced? | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(4/5) * (4/5)</gadget>
<output>16/25 = around 0.64</output>
<gadget id="calculator">1 - (16/25)</gadget>
<output>9/25 = around 0.36</output>... | 9/25 | calc |
aqua_rat__Fyx0WHuOmZvglKsO | Mona and Donald fly to Rome for the weekend. They take cash only in notes of $10 and notes of €10. Mona carries three times the amount of euros Donald carries. She also carries as many dollars as Donald carries. The number of €10 notes they take is double the number of $10 notes they take. If Donald carries a total of ... | .let e10 =x no. d10 =y no. donald is having x+y notes mona carries 3x+y again x =2y or donald x+y =45 or 3y =45 y =15 ;x =30 , total notes they carry = 4x+2y = 120+30=
<gadget id="calculator">120+30</gadget>
<output>150</output>
150 150
<result>C</result> | C | calc |
ape210k__00813537 | There are 12 residential buildings in a community, each building has 25 floors, and each floor has 4 households. How many households are there in this community? (Step-by-step answer, and write a subtitle) | <gadget id="calculator">25 * 12</gadget>
<output>300</output>
<gadget id="calculator">4 * 300</gadget>
<output>1_200</output>
<result>1_200</result> | 1_200 | calc |
aqua_rat__gFfU5BfihioslfuU | A sum of money invested for a certain number of years at 8% p.a. simple interest grows to Rs.180. The same sum of money invested for the same number of years at 4% p.a. simple interest grows to Rs.120 only. For how many years was the sum invested? Choose the correct answer
A) 25years B) 15years C) 20years D) 22years E)... | Explanation: From the information provided we know that, Principal + 8% p.a. interest on principal for n years = 180 …….. (1) Principal + 4% p.a. interest on principal for n years = 120 ……… (2) Subtracting equation (2) from equation (1), we get 4% p.a. interest on principal for n years = Rs.60. Now, we can ... | A | calc |
aqua_rat__25PCynOfh4j2aVEw | There is a road beside a river.two friends started from a place A,moved to a temple situated at another place B and then returned to A again.one of them moves on a cycle at a speed of 12 km/hr,while the other sails on a boat at a speed of 10 km/hr.if the river flows at the speed of 4 km/hr,which of the two friends will... | Clearly the cyclist moves both ways at a speed of 12 km/hr. The boat sailor moves downstream @ (10+4)i.e.,14 km/hr and upstream @ (10-4)i.e., 6km/hr. So,average speed of the boat sailor=(2*14*6/14+6)km/hr =42/5 km/hr=8.4 km/hr. since the average speed of the cyclist is greater ,he will return ta A first. Answ... | D | calc |
ape210k__00345017 | On a map with a scale of 1:2000000, the distance from City A to City B is 8.5 cm. A car drives from City A to City B at a speed of 80 kilometers per hour. How far is the car from City B after 2 hours? | <gadget id="calculator">1 / 2_000_000</gadget>
<output>1/2_000_000 = around 0</output>
<gadget id="calculator">8.5 / (1/2_000_000) / 100_000</gadget>
<output>170</output>
<gadget id="calculator">80 * 2</gadget>
<output>160</output>
<gadget id="calculator">170 - 160</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
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