id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
aqua_rat__K2NXWjVdwyosr0sh | Find the compound interest on $10000 in 2years at 4% per annum, the interest being compounded half-yearly? Choices:
A) $645.56 B) $824.32 C) $954.26 D) $745.69 E) $1020.45 | Principle = $10000 Rate = 2% half yearly = 4 half years Amount = 10000*(1 + 2/100)^4 = 10000 * 51/50 * 51/50 * 51/50 * 51/50 = $10824.32 C.I. = 10824.32-10000=
<gadget id="calculator">10824.32-10000</gadget>
<output>824.32</output>
$824.32 Answer is $824.32
<result>B</result> | B | calc |
ape210k__01204581 | There is a factory with two branches. The ratio of male and female employees in the whole factory is 2:1. The ratio of the number of employees in the two branches is 50:53. There are 85 more male workers than female workers in the second branch factory, so how many workers are there in the factory? | <gadget id="calculator">50 / 53</gadget>
<output>50/53 = around 0.943396</output>
<gadget id="calculator">28 / 53</gadget>
<output>28/53 = around 0.528302</output>
<gadget id="calculator">(28/53) * 85</gadget>
<output>2_380/53 = around 44.90566</output>
<gadget id="calculator">22 / 53</gadget>
<output>22/53 = around... | 309 | calc |
ape210k__00379730 | A cylindrical wood with a length of 4dm and a base radius of 10cm is cut into two small cylinders, how much is the surface area increased? | <gadget id="calculator">10 ** 2</gadget>
<output>100</output>
<gadget id="calculator">3.14 * 100 * 2</gadget>
<output>628</output>
<result>628</result> | 628 | calc |
ape210k__00847625 | After half of a barrel of oil is poured out, then the remaining half is poured out. At this time, there is still 16kg in the barrel, and the known weight of the barrel is 5.5kg. So how many kilograms does the barrel of oil weigh in total? | <gadget id="calculator">16 - 5.5</gadget>
<output>10.5</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) * (1/2)</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">10.5 / (1/4)</gadget>
<output>42</output>
<gadget id="calculator">42 + 5.... | 47.5 | calc |
aqua_rat__gsjL9wasbIi0eSdZ | If 15 students in a class average 73% on an exam and 10 students average 88% on the same exam, what is the average in percent for all 25 students? Choose the most appropriate option:
A) 77% B) 78% C) 79% D) 80% E) 81% | (15*73 + 10*88) / 25=
<gadget id="calculator">(15*73 + 10*88) / 25</gadget>
<output>79</output>
79% The answer is 79%.
<result>C</result> | C | calc |
ape210k__00139753 | (12/13)*(91/144)=how much. | <gadget id="calculator">12 / 13</gadget>
<output>12/13 = around 0.923077</output>
<gadget id="calculator">91 / 144</gadget>
<output>91/144 = around 0.631944</output>
<gadget id="calculator">(12/13) * (91/144)</gadget>
<output>7/12 = around 0.583333</output>
<result>7/12 = around 0.583333</result> | 7/12 | calc |
ape210k__00565968 | The greatest common factor of two numbers is 14, the least common multiple is 168, one of the numbers is 42, what is the other number. | <gadget id="calculator">168 / 42</gadget>
<output>4</output>
<gadget id="calculator">4 * 14</gadget>
<output>56</output>
<result>56</result> | 56 | calc |
ape210k__00011196 | A cylindrical container with a bottom area of 15.7 square decimeters and a height of 8 decimeters. A cube with a side length of 2 decimeters is placed in the container. Now pour 86.2 liters of water into the container, and the water will cover the cube. At this time, the height of the water is How many decimeters? | <gadget id="calculator">2 * 2 * 2</gadget>
<output>8</output>
<gadget id="calculator">86.2 + 8</gadget>
<output>94.2</output>
<gadget id="calculator">94.2 / 15.7</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__00630991 | - A garbage disposal site received 249 tons of domestic garbage last week, and (1/3) of the garbage can be recycled. How many tons of garbage can this garbage disposal site receive last week for recycling? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">249 * (1/3)</gadget>
<output>83</output>
<result>83</result> | 83 | calc |
ape210k__00590721 | The ratio of the perimeter of the cylinder to the bottom of the cone is 1:2, the volume ratio is 5:6, the height of the cylinder is 20 cm, how many cm is the height of the cone? | <gadget id="calculator">9 / 10</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">20 * (9/10)</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
ape210k__01184511 | There are 49 people in Class Three 1 and 47 people in Class Three 2. Each person plants 4 trees. How many trees can be planted in total? | <gadget id="calculator">49 + 47</gadget>
<output>96</output>
<gadget id="calculator">96 * 4</gadget>
<output>384</output>
<result>384</result> | 384 | calc |
aqua_rat__DjBZPaTEpNZXRXoV | A trader bought a car at 20% discount on its original price. He sold it at a 60% increase on the price he bought it. What percent of profit did he make on the original price? Choose the correct choice from the following options.
A) 28% B) 72% C) 12% D) 82% E) 16% | Original price = 100 CP = 80 S = 80*(160/100)=
<gadget id="calculator">80*(160/100)</gadget>
<output>128</output>
128 100 - 128= 28% 28%nswer:28%
<result>A</result> | A | calc |
ape210k__00484564 | To build a road, the original plan was to build 45 meters per day, and the repair would be completed in 8 days. The actual repair is 60 meters per day, how many days is it actually completed? | <gadget id="calculator">8 / 60</gadget>
<output>2/15 = around 0.133333</output>
<gadget id="calculator">45 * (2/15)</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__01224889 | 22.5*((12.6+3.4)/8). | <gadget id="calculator">12.6 + 3.4</gadget>
<output>16</output>
<gadget id="calculator">16 / 8</gadget>
<output>2</output>
<gadget id="calculator">22.5 * 2</gadget>
<output>45</output>
<result>45</result> | 45 | calc |
math_qa__tDgUOfzDsVYXFpVs | The effective annual rate of interest corresponding to a nominal rate of 6% per annum payable half-yearly is?
Choose the correct choice:
A) 6.99 %
B) 6.89 %
C) 6.08 %
D) 6.09 %
E) 6.19 % | <gadget id="calculator">6 / 2</gadget>
<output>3</output>
<gadget id="calculator">3 + 3</gadget>
<output>6</output>
<gadget id="calculator">3 * 3</gadget>
<output>9</output>
<gadget id="calculator">9 / 100</gadget>
<output>9/100 = around 0.09</output>
<gadget id="calculator">6 + (9/100)</gadget>
<output>609/100 = a... | D | calc |
ape210k__00289683 | 5 grams of salt is dissolved in 75 grams of water, what is the percentage of salt in the salt water? | <gadget id="calculator">75 + 5</gadget>
<output>80</output>
<gadget id="calculator">5 / 80</gadget>
<output>1/16 = around 0.0625</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(1/16) * 1</gadget>
<output>1/16 = around 0.0625</output>
<result>1/16 = around 0.0625</resu... | 1/16 | calc |
ape210k__00718699 | The ratio of a ratio is 1, the latter term is 2.5, what is the former term | <gadget id="calculator">2.5 * 1</gadget>
<output>2.5</output>
<result>2.5</result> | 2.5 | calc |
mawps__jlfm96mYPoRIXE2q | Sharon had some Pen. Andrew gave him 7 more. Now Sharon has 38 Pen. How many Pen did Sharon have in the beginning? | <gadget id="calculator">38 - 7</gadget>
<output>31</output>
<result>31</result> | 31 | calc |
aqua_rat__dDOc2rX8FRQhbVN8 | List I: { y, 2, 4, 7, 10, 11}
List II: {3, 3, 4, 6, 7, 10}
If the median E of List I is equal to the sum of the median of list II and the mode of list II, then y equals Answers.
A) 5 B) 7 C) 8 D) E=9 E) 10 | mode of list ii =3 median E of list ii =4+6/2 =5 sum of mode + mean = 3+ 5=
<gadget id="calculator">3+ 5</gadget>
<output>8</output>
8 now to make 8 as the median we need to find a value of y such that if the no. of terms in list 1 are odd then y=8 else if even then 7+y /2=8 here its even so 7+y/2=8 from thi... | D | calc |
ape210k__00266409 | To make a cuboid wooden frame whose length, width, and height are 6 cm, 5 cm, and 4 cm respectively, how many centimeters of wood do you need at least? | <gadget id="calculator">6 + 5 + 4</gadget>
<output>15</output>
<gadget id="calculator">15 * 4</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
ape210k__01211751 | A female athlete runs 300 meters per minute, which is 20 meters less than a male athlete (4/5). How many meters does a male athlete run per minute? | <gadget id="calculator">300 + 20</gadget>
<output>320</output>
<gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">320 / (4/5)</gadget>
<output>400</output>
<result>400</result> | 400 | calc |
aqua_rat__98eScQnuGFuZfsAt | for which value of n, 4^85+2^3373+4^n will be the perfect square ?? Choose the correct option.
A) 1878 B) 1978 C) 1578 D) 2578 E) 3287 | given expression is in the form of a^2+2ab+b^2 4^85=2^2(85) 4^n=2^2n 2^3373=2*2^85*2^n 3373=85+1+n n=3373-86=
<gadget id="calculator">3373-86</gadget>
<output>3_287</output>
3287 ANSW3287R:3287
<result>E</result> | E | calc |
ape210k__00573129 | 50 students from Class 5, Class 1 of a certain school take a group photo in the photo studio, and they need to pay 19.85 yuan for 6 photos. If you want to print more, you need to pay 1.60 yuan for each copy. Now everyone in the class needs one copy. How much will you pay in total? | <result>81.2</result> | 81.2 | calc |
ape210k__00081508 | trapezoidal upper base is 160 meters long, the lower base is 240 meters long, and the height is 30 meters. If the wheat received in this field is piled up into a cone shape, the circumference of the cone base is 12.56 meters and the height is 0.9 meters. Wheat weighs about 750 kilograms. How many kilograms of wheat doe... | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">12.56 / 3.14 / 2</gadget>
<output>2</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">(1/3) * 3.14 * 4 * 0.9</gadget>
<output>3.768</output>
<gadget id="calculator">3.768 *... | 4_710 | calc |
gsm8k__Om8eLI2PG1KxyrSf | Part of Stella's job is to restock the toilet paper in each of the 6 bathrooms at the bed and breakfast. She stocks 1 roll a day, every day of the week. She buys the toilet paper in bulk, and each pack contains 1 dozen rolls. After 4 weeks, how many packs of toilet paper dozen Stella buy? | She stocks one roll in each of the 6 bathrooms, every day of the week so that 6*7 =
<gadget id="calculator">6*7</gadget>
<output>42</output>
42 rolls a week.
She restocks 42 rolls a week so after 4 weeks that's 42*4 =
<gadget id="calculator">42*4</gadget>
<output>168</output>
168 rolls.
The bulk toilet paper comes 1 ... | 14 | calc |
aqua_rat__BrMXpUGjQBHeKzw1 | A rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.5 per sq m? Select the correct option: A) 6500 B) 2779 C) 2779 D) 3900 E) 2781 | 6500rea = (l + b – d) d (80 + 60 – 10)10 => 1300 m2 1300 * 5 = Rs.6500 6500nswer:6500
<result>A</result> | A | calc |
ape210k__00404256 | A conical container with a height of 6 cm is filled with water and poured into a cylindrical container of the same height as its bottom. What is the height of the water in cm? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">6 * (1/3)</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
ape210k__00275780 | Mom deposits 4,000 yuan in the bank this year for two years. If the annual interest rate is 2.45%, how much will be the principal and interest when it matures? (Exemption from interest tax) | <gadget id="calculator">2.45 / 100</gadget>
<output>0.0245</output>
<gadget id="calculator">4_000 * 0.0245 * 2</gadget>
<output>196</output>
<gadget id="calculator">4_000 + 196</gadget>
<output>4_196</output>
<result>4_196</result> | 4_196 | calc |
aqua_rat__KAhXeau1tP4W9rbc | A sum of money deposited at C.I. amounts to Rs.2420 in 2 years and to Rs.3267 in 3 years. Find the rate percent? Options
A) 11 B) 10 C) 28 D) 24 E) 35 | 35xplanation: 2420 --- 847 100 --- ? => 35% Answer: Option 35
<result>E</result> | E | calc |
aqua_rat__NjDrHAxO95JNXiPu | A number increased by 30% gives 650. The number is? Choose the correct choice from the following options.
A) 200 B) 300 C) 400 D) 500 E) 600 | Formula = TOTAL=100% ,INCREASE = "+" 500ECREASE= "-" A number means = 100 % That same number increased by 30 % = 130 % 130 % -------> 650 (130 × 5 = 650) 100 % -------> 400 (100 × 5 = 500) Option '500'
<result>D</result> | D | calc |
math_qa__PizsFtDUkutAtLQ4 | Points A, B, and, C have xy-coordinates (2,0), (8,12), and (14,0), respectively. Points X, Y, and Z have xy-coordinates (6,0), (8,4), and (10,0), respectively. What fraction S of the area of triangle ABC is the area of triangle XYZ?
Answers
A) 1 / 9 B) 1 / 8 C) 1 / 6 D) 1 / 5 E) 1 / 3 | <gadget id="calculator">4 ** 2</gadget>
<output>16</output>
<gadget id="calculator">16 / 2</gadget>
<output>8</output>
<gadget id="calculator">10 + 2</gadget>
<output>12</output>
<gadget id="calculator">12 ** 2</gadget>
<output>144</output>
<gadget id="calculator">144 / 2</gadget>
<output>72</output>
<gadget id="c... | A | calc |
ape210k__00981323 | At 6 o'clock, what is the angle between the hour and minute hands? | <gadget id="calculator">30 * 6</gadget>
<output>180</output>
<result>180</result> | 180 | calc |
aqua_rat__95Mv7o1fFQTKhC3r | There are 16 teams divided in 4 groups. Every team from each group will play with each other once. The top 2 teams will go to the next round and so on the top two teams will play the final match. Minimum how many matches will be played in that tournament? Choose the correct choice from the following choices:
A) 43
B) 4... | In each group, total matches played = 4C24C2 = 6. So total matches played in the first round = 6 × 4 = 24 Now top two teams from each group progress to the next round. Now these 8 teams are pooled into 2 groups. Total matches played in the second round = 6 × 2 = 12 Now 4 teams progress to the next round. Total ma... | A | calc |
ape210k__00795807 | kind of liquid medicine is made up of medicinal powder and water according to the ratio of 1:100. The existing medicinal powder is 20 kg. How many kg can be made into liquid medicine? | <gadget id="calculator">1 + 100</gadget>
<output>101</output>
<gadget id="calculator">1 / 101</gadget>
<output>1/101 = around 0.009901</output>
<gadget id="calculator">20 / (1/101)</gadget>
<output>2_020</output>
<result>2_020</result> | 2_020 | calc |
aqua_rat__qtOHONNZB3cUkWgP | The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:
Select:
A) 276 B) 299 C) 322 D) 345 E) 354 | Clearly, the numbers are (23 x 13) and (23 x 14). Larger number = (23 x 14) = 322. Answer: Option 322
<result>C</result> | C | calc |
ape210k__00014964 | 1□*7, if the product is two digits, what is the maximum number in □ | <result>4</result> | 4 | calc |
ape210k__01075547 | A car drives from place A to place B, traveling (3/8) of the total distance, and there are still 90 kilometers away from the midpoint. How many kilometers are there between A and B? (Solution of column equation) | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">(1/2) - (3/8)</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">90 / (1/8)</gadget>
<output>720</output>
<result>720</result> | 720 | calc |
ape210k__00156520 | The seven numbers 8, 9, 10, 11, 12, 13, and 14 are written on the blackboard. Erase two numbers arbitrarily each time, and then write the sum of these two numbers minus 1. For example, to erase 9 and 13, write 21. After several times, there will be only one number left on the blackboard, what is this number. | <gadget id="calculator">9 - 1</gadget>
<output>8</output>
<gadget id="calculator">8 + 8</gadget>
<output>16</output>
<gadget id="calculator">10 - 1</gadget>
<output>9</output>
<gadget id="calculator">16 + 9</gadget>
<output>25</output>
<gadget id="calculator">11 - 1</gadget>
<output>10</output>
<gadget id="calcula... | 71 | calc |
ape210k__00494267 | Divide a circle into several parts on average, and cut them to form an approximate rectangle. The perimeter of this rectangle is 16.56 decimeters. What is the area of this circle in square decimeters? | <gadget id="calculator">3.14 * 2</gadget>
<output>6.28</output>
<gadget id="calculator">6.28 + 2</gadget>
<output>8.28</output>
<gadget id="calculator">16.56 / 8.28</gadget>
<output>2</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">3.14 * 4</gadget>
<output>12.56</output>... | 12.56 | calc |
aqua_rat__JN1uQGwVpZcWcXDb | The unit digit in the product 4556*3432*4581*2784 is? Answers
A) 8
B) 1
C) 2
D) 3
E) 4 | Unit digit in the given product = unit digit in 6*2*1*4 = 8 8nswer is 8
<result>A</result> | A | calc |
math_qa__fpE3nX1MCA31wxAc | A retail appliance store priced a video recorder at 20 percent above the wholesale cost of $200. If a store employee applied the 30 percent employee discount to the retail price to buy the recorder, how much did the employee pay for the recorder?
Select the correct option.
A) $ 198 B) $ 216 C) $ 220 D) $ 230 E) $ 168 | <gadget id="calculator">200 / 100</gadget>
<output>2</output>
<gadget id="calculator">2 * 20</gadget>
<output>40</output>
<gadget id="calculator">200 + 40</gadget>
<output>240</output>
<gadget id="calculator">240 / 100</gadget>
<output>12/5 = around 2.4</output>
<gadget id="calculator">(12/5) * 30</gadget>
<output>... | E | calc |
aqua_rat__nwKnbNlkZjbrTKOE | A motorist travel to a place 150 km away at an average speed of 70 km/hr and returns at 30 km/hr.His average speed for the whole journey in km/hr is Select:
A) 36 km/hr
B) 37 km/hr
C) 40 km/hr
D) 42 km/hr
E) None of these | Explanation: Average speed will be 2xy/x+y km/hr = {2(70)(30)}/{70+30} km/hr = 42 km/hr Answer: Option 42 km/hr
<result>D</result> | D | calc |
ape210k__00116359 | The fruit shop brought in 450 kilograms of apples, sold 240 kilograms, and left 6 boxes. How many kilograms does each box weigh on average? | <gadget id="calculator">450 - 240</gadget>
<output>210</output>
<gadget id="calculator">210 / 6</gadget>
<output>35</output>
<result>35</result> | 35 | calc |
math_qa__UPMyGBMRWE4Uq20R | If the average (arithmetic mean) of (2a+16) and (3a-8) is 84, what is the value of a? Options
A) 25 B) 30 C) 28 D) 32 E) 42 | <gadget id="calculator">84 * 2</gadget>
<output>168</output>
<gadget id="calculator">16 - 8</gadget>
<output>8</output>
<gadget id="calculator">168 - 8</gadget>
<output>160</output>
<gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">160 / 5</gadget>
<output>32</output>
<result>D</res... | D | calc |
aqua_rat__ucckJT6D4fspyUxa | Krishan and Nandan jointly started a business. Krishan invested four times as Nandan did and invested his money for double time as compared to Nandan. Nandan earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was? Choose the correct choic... | 4:1 2:1 ------ 8:1 1 ----- 4000 9 ----- ? => Rs.36,000 Answer: Rs.36000
<result>D</result> | D | calc |
ape210k__00667925 | Use 240m**3 stones to pave a path 600m long and 4m wide, how many dm thick can the stones be paved with? | <gadget id="calculator">600 * 4</gadget>
<output>2_400</output>
<gadget id="calculator">240 / 2_400</gadget>
<output>1/10 = around 0.1</output>
<result>1/10 = around 0.1</result> | 1/10 | calc |
aqua_rat__MGuhtDNsN3wWguN0 | A, B, C together started a business. A invested Rs.6000 for 5 months B invested Rs.3600 for 6 months and C Rs.7500 for 3 months. If they get a total profit of Rs.9880. Find the share of B? Choices:
A) 2880 B) 3000 C) 3018 D) 3019 E) 3012 | 60*5:36*6:75*3 100: 72: 75 72/247 * 9880=
<gadget id="calculator">72/247 * 9880</gadget>
<output>2_880</output>
2880 2880nswer: 2880
<result>A</result> | A | calc |
ape210k__00398987 | Lili scored 70 points in the math competition. It is known that there are 10 questions in this competition. If you get a question right, you will get 10 points, and if you get a wrong question, you will be deducted 5 points. Can you figure out how many questions Lili got right? | <gadget id="calculator">10 * 10</gadget>
<output>100</output>
<gadget id="calculator">100 - 70</gadget>
<output>30</output>
<gadget id="calculator">10 + 5</gadget>
<output>15</output>
<gadget id="calculator">30 / 15</gadget>
<output>2</output>
<gadget id="calculator">10 - 2</gadget>
<output>8</output>
<result>8</r... | 8 | calc |
ape210k__00134247 | On the "June 1st" day, the students bought 150 balloons to decorate the classroom, and each classroom needs 25 balloons. How many classrooms could these balloons decorate? | <gadget id="calculator">150 / 25</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__00414821 | conical plumb bob has a base area of 33 square centimeters and a height of 4 cm. What is the volume of the plumb bob in cubic centimeters? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/3) * 33 * 4</gadget>
<output>44</output>
<result>44</result> | 44 | calc |
ape210k__00022724 | The school planted trees, completed the plan (3/8) on the first day, completed the rest of the plan (2/3) on the second day, planted 55 trees on the third day, and the result exceeded the plan (1/4), the original plan for tree planting How many? | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">1 - (3/8)</gadget>
<output>5/8 = around 0.625</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id... | 120 | calc |
ape210k__00430230 | How many decimal places are there that are greater than 2.6 and less than 2.9? | <gadget id="calculator">89 - 60</gadget>
<output>29</output>
<result>29</result> | 29 | calc |
ape210k__00593959 | The ratio of the area of a cylinder to the bottom of a cone is 1:4, and the volume ratio is 5:6. It is known that the height of the cylinder is 10cm, so what is the height of the cone in cm? | <result>9</result> | 9 | calc |
ape210k__00950637 | Two cars, A and B, start at the same time from places A and B, which are 120 kilometers apart, and drive back and forth between places A and B. Car A travels 40 kilometers per hour, and car B travels 60 kilometers per hour. How many hours later, car B caught up with car A from behind for the second time. | <gadget id="calculator">60 - 40</gadget>
<output>20</output>
<gadget id="calculator">3 / 20</gadget>
<output>3/20 = around 0.15</output>
<gadget id="calculator">120 * (3/20)</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
aqua_rat__RwOHS0ISQ07QOem9 | A boy writes all the numbers from 100 to 999. The number of zeroes that he uses is 'a', the number of 5's that he uses is 'b' and the number of 8's he uses is 'c'.
What is the value of b+c−a? Choose the correct choice from the following options.
A) 280
B) 380
C) 180
D) 80
E) 90 | We can see by symmetry b=c and hence all we need to calculate b and a b=280 and a=180 ⇒ 2b−a= 380 Option(380)
<result>B</result> | B | calc |
aqua_rat__CoVpALJYSQxgiG71 | What is the tens digit of 6^18? Choose the correct answer.
A) 1 B) 3 C) 5 D) 7 E) 9 | The tens digit of 6 in integer power starting from 2 (6^1 has no tens digit) repeats in a pattern of 5: {3, 1, 9, 7, 5}: The tens digit of 6^2=36 is 3. The tens digit of 6^3=216 is 1. The tens digit of 6^4=...96 is 9. The tens digit of 6^5=...76 is 7. The tens digit of 6^6=...56 is 5. The tens digit of 6^7=... | A | calc |
ape210k__01022869 | There is a three-digit number, the number in the hundreds place is 7, the number in the tens place is 0, and the number in the ones place is 5, what is the 4 times of this number? | <gadget id="calculator">705 * 4</gadget>
<output>2_820</output>
<result>2_820</result> | 2_820 | calc |
aqua_rat__LTQtPdTMv6622QJs | Of 60 children, 30 are happy, 10 are sad, and 20 are neither happy nor sad. There are 22 boys and 38 girls. If there are 6 happy boys and 4 sad girls, how many boys are neither happy nor sad? Choose the correct choice from the following answers
A) 2 B) 4 C) 6 D) 8 E) 10 | Venn diagrams are useful for multiple values of a single variable e.g. State of mind - happy/sad/neither. When you have two or more variables such as here where you have gender - boy/girl too, it becomes unwieldy. In this case, either use the table or logic. Table method is shown above; here is how you will use logic... | E | calc |
aqua_rat__AMSSHjjn9sPKWKAd | Ashley and Vinny work on a sales staff with 8 other salespeople. If five members of the staff will be chosen at random to attend a sales workshop, what is the probability that both Ashley and Vinny will be chosen? Choose the correct answer
A) 1/10 B) 3/28 C) 2/9 D) 1/4 E) 1/2 | I did slightly different and hence obviously ended up with the answer 2/9. I assumed that because Ashley and Vinny have to be chosen, the remaining selection is 3 people from 8. 8C3/10C5= 2/9. Option 2/9.
<result>C</result> | C | calc |
ape210k__00818559 | The livestock farm raised 120 cattle and buffaloes this year, and the number of cattle was 20% of that of buffaloes. How many buffaloes will the livestock farm raise this year? | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 + (1/5)</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">120 / (6/5)</gadget>
<output>100</output>
<result>100</result> | 100 | calc |
ape210k__00053703 | A square log is 3 meters long and its base is a square with a side length of 3 decimeters. What is its volume in cubic decimeters? | <gadget id="calculator">3 * 10</gadget>
<output>30</output>
<gadget id="calculator">3 * 3 * 30</gadget>
<output>270</output>
<result>270</result> | 270 | calc |
ape210k__00051858 | If the radius of a circle with a circumference of 20 decimeters is increased by 3 times, what is the circumference in decimeters? | <gadget id="calculator">20 * 3</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
ape210k__00576351 | There are 15 buildings in Xingfu Community, with a total of 1,620 residents. How many households are there in each building in this community? | <gadget id="calculator">1_620 / 15</gadget>
<output>108</output>
<result>108</result> | 108 | calc |
ape210k__00529700 | When kindergartens buy toys, the first class buys 45, the second class buys 36, and the third class has 15 more toys than the second class. How many toys do each class buy on average? | <gadget id="calculator">36 + 15</gadget>
<output>51</output>
<gadget id="calculator">45 + 36 + 51</gadget>
<output>132</output>
<gadget id="calculator">132 / 3</gadget>
<output>44</output>
<result>44</result> | 44 | calc |
aqua_rat__jdHDzZ2HUyofwi8Z | A vendor sells 50 percent of the apples he had and throws away 20 percent of the remainder. The next day, the vendor sells 50 percent of the remaining apples and throws away the rest. In total, what percent of his apples does the vendor throw away?
Options
A) 30 B) 35 C) 40 D) 45 E) 50 | Let x be the original number of apples. On day one, the vendor throws away (0.2)(0.5)x=0.1x. The remaining apples are (0.8)(0.5)x = 0.4x. On day two, the vendor throws away (0.5)(0.4)x=0.2x. The vendor throws away a total of 0.1x + 0.2x = 0.3x. The vendor throws away 30 percent of the apples. The answer is ... | A | calc |
ape210k__01086061 | Mom has 1 sweater, 1 coat, 1 pair of trousers, and 1 skirt. How many different matching methods are there to make a set of clothes? Please write it out. | <gadget id="calculator">2 * 2</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
ape210k__01197255 | A circle with a diameter of 2 meters is formed with a piece of iron wire. What is the length of the wire in meters? | <gadget id="calculator">3.14 * 2</gadget>
<output>6.28</output>
<result>6.28</result> | 6.28 | calc |
ape210k__01121755 | It is known that the ratio of A and B is 4:5, A's number is 18, and B's number is. | <gadget id="calculator">4 + 5</gadget>
<output>9</output>
<gadget id="calculator">4 / 9</gadget>
<output>4/9 = around 0.444444</output>
<gadget id="calculator">18 / (4/9)</gadget>
<output>81/2 = around 40.5</output>
<gadget id="calculator">(81/2) - 18</gadget>
<output>45/2 = around 22.5</output>
<result>45/2 = arou... | 45/2 | calc |
math_qa__Kw1PrRVXRQ1VHVLf | If R is a positive integer, and R/15 = 8.2, what is the remainder when R is divided by 15?
Choose the correct choice from the following answers
A) a . 1 B) b . 2 C) c . 3 D) d . 4 E) e . 8 | <gadget id="calculator">8.2 * 15</gadget>
<output>123</output>
<gadget id="calculator">123 % 15</gadget>
<output>3</output>
<result>C</result> | C | calc |
ape210k__00587483 | A piece of land has (9/10) square kilometers, and it can be plowed by 20 tractors in (3/4) hours. How many square kilometers does each tractor plow on average per hour? | <gadget id="calculator">9 / 10</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(9/10) / (3/4) / 20</gadget>
<output>3/50 = around 0.06</output>
<result>3/50 = around 0.06</result> | 3/50 | calc |
aqua_rat__vLEabQLkbRYPvgbR | What least number should be added to 1015, so that the sum is completely divisible by 25? Pick: A) 4 B) 3 C) 2 D) 10 E) 5 | 1015 ÷ 25 = 40 with remainder = 15 15 + 10=
<gadget id="calculator">15 + 10</gadget>
<output>25</output>
25. Hence 10 should be added to 1015 so that the sum will be divisible by 25 Answer: Option 10
<result>D</result> | D | calc |
aqua_rat__Ji1Z8fvwCSCDkbBo | By purchasing an article at 20 % discount on the original price and then selling it at a price of 25% above the original price, a trader earns Rs. 200 as the profit. What was the original price of the article? Select.
A) Rs. 444.44
B) Rs. 255.50
C) Rs. 100.10
D) Rs. 810
E) None of these | Explanation: Let the original price of the article be Rs. 100. Hence the purchase price for the trader would be Rs. 80 and his selling price would be Rs. 125. Thus, he would earn a profit of Rs. 45 (125 – 80). Therefore, Profit is Rs. 45 if the original price is Rs. 100 Hence, if profit is Rs. 200, then original ... | A | calc |
aqua_rat__kW0NjrEpghRqTZoX | A Mango costs Rs 25 each and a apple costs Rs. 21 each. If I spend Rs 71 on total what is the number of mango I purchased?
Choose one
A) 4 B) 6 C) 2 D) 10 E) 8 | 2 * 25+ 21=
<gadget id="calculator">2 * 25+ 21</gadget>
<output>71</output>
71 Answer : 2 Option : 2
<result>C</result> | C | calc |
aqua_rat__nyFqPLqrWwxA6q8F | Car A runs at the speed of 65km/hr & reaches its destination in 8hr. Car B runs at the speed of 70 km/h & reaches its destination in 4h. What is the respective ratio of distances covered by Car A & Car B? Choose the correct answer:
A) 11 : 6
B) 12 : 7
C) 13 : 7
D) 15 : 6
E) 13 : 6 | Sol. Distance travelled by 13 : 7ar A = 65 × 8 = 520 km Distance travelled by 13 : 7ar B = 70 × 4 = 280 km Ratio = 520/280 = 13 : 7 13 : 7
<result>C</result> | C | calc |
ape210k__00276378 | Xiao Ming participates in the riddle guessing competition. There are 20 questions in total. It is stipulated that if he guesses correctly, he will get 5 points, and if he guesses wrong, 3 points will be deducted. | <gadget id="calculator">100 - 60</gadget>
<output>40</output>
<gadget id="calculator">5 + 3</gadget>
<output>8</output>
<gadget id="calculator">40 / 8</gadget>
<output>5</output>
<gadget id="calculator">20 - 5</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
ape210k__00488497 | The area of a parallelogram is (15/100) square meters, the base is 3 decimeters, and the height is in meters. | <gadget id="calculator">15 / 100</gadget>
<output>3/20 = around 0.15</output>
<gadget id="calculator">100 / 3 / 10</gadget>
<output>10/3 = around 3.333333</output>
<gadget id="calculator">(3/20) * (10/3)</gadget>
<output>1/2 = around 0.5</output>
<result>1/2 = around 0.5</result> | 1/2 | calc |
ape210k__00067422 | The third workshop of the paper mill saved 3 tons of water per day in February 2011. How many tons of water did the workshop save in February? | <gadget id="calculator">3 * 28</gadget>
<output>84</output>
<result>84</result> | 84 | calc |
ape210k__00085253 | Rising 2007 anti-virus software is sold at a 25% discount, which is 24 yuan cheaper. How much is the original price? | <gadget id="calculator">75 / 100</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">1 - (3/4)</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">24 / (1/4)</gadget>
<output>96</output>
<result>96</result> | 96 | calc |
ape210k__00149182 | For a tractor, the diameter of the rear wheel is twice that of the front wheel, and the number of turns of the front wheel is 8 turns of the rear wheel. | <gadget id="calculator">2 * 3.14 * 8</gadget>
<output>50.24</output>
<gadget id="calculator">50.24 / 3.14</gadget>
<output>16</output>
<result>16</result> | 16 | calc |
aqua_rat__1VZPjglAAQLn1gSz | If 0.75: x :: 5:6, then x is equal to: Choose the correct choice from the following choices:
A) 1.12 B) 1.16 C) 1.2 D) 0.9 E) None of these | Explanation: (x * 5) = (0.75 *6)=
<gadget id="calculator">(0.75 *6)</gadget>
<output>4.5</output>
4.5/5=
<gadget id="calculator">4.5/5</gadget>
<output>0.9</output>
0.9 Answer: 0.9
<result>D</result> | D | calc |
ape210k__00417035 | What is the formula whose result is greater than 1 in the following formulas | <gadget id="calculator">1 / 0.52</gadget>
<output>1.923077</output>
<gadget id="calculator">1 / 1</gadget>
<output>1</output>
<gadget id="calculator">1.923077 * 1</gadget>
<output>1.923077</output>
<result>1.923077</result> | 1.923077 | calc |
ape210k__01218321 | The sailfish is the champion of swimming in the ocean. It can swim 270 kilometers in 3 hours. The dolphin is also an expert swimmer. It can swim 120 kilometers in 2 hours. How much faster is the average speed of a sailfish than a dolphin? | <gadget id="calculator">270 / 3</gadget>
<output>90</output>
<gadget id="calculator">120 / 2</gadget>
<output>60</output>
<gadget id="calculator">90 - 60</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
ape210k__00412386 | ★Xiao Zhang and Xiao Li are running on the circular track. They start from the same place and walk in opposite directions. Xiao Zhang's speed is 4 m/s, Xiao Li's speed is 6 m/s, and the two meet for the second time after 80 seconds. How long is the circular runway in meters? | <gadget id="calculator">4 + 6</gadget>
<output>10</output>
<gadget id="calculator">80 / 2</gadget>
<output>40</output>
<gadget id="calculator">10 * 40</gadget>
<output>400</output>
<result>400</result> | 400 | calc |
ape210k__00293317 | The distance between the two cities is 550 kilometers. A passenger car and a freight train leave from the two cities at the same time. The passenger car travels 55 kilometers per hour. The speed of the freight car is that of the passenger car (9/11). How many hours later will the two cars meet? | <gadget id="calculator">9 / 11</gadget>
<output>9/11 = around 0.818182</output>
<gadget id="calculator">55 * (9/11)</gadget>
<output>45</output>
<gadget id="calculator">55 + 45</gadget>
<output>100</output>
<gadget id="calculator">550 / 100</gadget>
<output>11/2 = around 5.5</output>
<result>11/2 = around 5.5</resu... | 11/2 | calc |
ape210k__00119180 | In the physical education class, the students practice shooting. Each of them shoots 5 times. Xiao Ming made the first 4 shots. What is the possibility of him making the 5th shot? | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<result>1/2 = around 0.5</result> | 1/2 | calc |
ape210k__00022837 | There are 18 residential buildings in the cultural community, and each building has 50 households. How many households are there in the community? | <gadget id="calculator">50 * 18</gadget>
<output>900</output>
<result>900</result> | 900 | calc |
ape210k__00974339 | car travels an average of 42 kilometers per hour in a day. It is known that the car has traveled for 4 hours in the morning, with an average travel of 50 kilometers per hour, and an average of 37 kilometers per hour in the afternoon. How many hours has the car traveled in the afternoon? | <gadget id="calculator">50 * 4</gadget>
<output>200</output>
<gadget id="calculator">42 * 4</gadget>
<output>168</output>
<gadget id="calculator">200 - 168</gadget>
<output>32</output>
<gadget id="calculator">42 - 37</gadget>
<output>5</output>
<gadget id="calculator">32 / 5</gadget>
<output>32/5 = around 6.4</outp... | 32/5 | calc |
ape210k__00424761 | The green area of Fenghuang Community is 6,000 square meters, which is 1/4 less than that of Dongming Community. How many square meters is the green area of Dongming Community? | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 - (1/4)</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">6_000 / (3/4)</gadget>
<output>8_000</output>
<result>8_000</result> | 8_000 | calc |
aqua_rat__rdYBblyw4NmiMVe3 | The sum of the numbers is 220. If the first number be twice the second and third number be one-third of the first, then the second number is: Answers:
A) 48
B) 54
C) 72
D) 60
E) 27 | Let the second number be x. Then, first number = 2x and third number = 2x/3. 2x + x + 2x/3 = 220 11x/3 = 220 x = 60 ANSWER:60
<result>D</result> | D | calc |
aqua_rat__GrgPNDII4z2vgg6E | The length of rectangle is thrice its breadth and its perimeter is 96 m, find the area of the rectangle? Pick one: A) 156 B) 432 C) 288 D) 355 E) 478 | Explanation: 2(3x + x) = 96 l = 36 b = 12 lb = 36 * 12=
<gadget id="calculator">36 * 12</gadget>
<output>432</output>
432 Answer: 432
<result>B</result> | B | calc |
ape210k__01219853 | If a group planted trees, if each person planted 8 trees, the number would be 27; if each person planted 6 trees, the number would be 5. How many trees are there in total? | <gadget id="calculator">27 - 5</gadget>
<output>22</output>
<gadget id="calculator">8 - 6</gadget>
<output>2</output>
<gadget id="calculator">22 / 2</gadget>
<output>11</output>
<gadget id="calculator">8 * 11</gadget>
<output>88</output>
<gadget id="calculator">88 - 27</gadget>
<output>61</output>
<result>61</resu... | 61 | calc |
aqua_rat__NA6tafj2O2QRJhxe | Solution A is 20% salt and Solution B is 80% salt. If you have 30 ounces of solution A and 60 ounces of solution B, in what ratio could you mix Solution A with Solution B to produce 50 ounces of a 50% salt solution? Choices.
A) 6:4
B) 6:14
C) 4:4
D) 4:6
E) 3:7 | let: x = ounces taken from solution A (20% salt) y = ounces taken from solution B (80% salt) to prepare 50 ounce 50% salt. first equation is simple: x + y = 50 to get another equation so as to be able to solve, compute salt contents. 20% of x + 80% of y = 50% of 50 or x/5 + 4/5 * y = 25 or x+4y = 125 ... | C | calc |
ape210k__00075195 | There are 40 apple trees in the orchard, just accounting for (5/8) of the total number of fruit trees. How many fruit trees are there in the orchard? | <gadget id="calculator">5 / 8</gadget>
<output>5/8 = around 0.625</output>
<gadget id="calculator">40 / (5/8)</gadget>
<output>64</output>
<result>64</result> | 64 | calc |
aqua_rat__W0k9whMz4z85GGjn | Alex age after 13years will be 10 times his age 10years back. What is the present age of Alex?
Choose the correct option
A) 15
B) 13
C) 20
D) 21
E) 26 | Let Alex's present age be x Alex's age after 17 years = x+17 Alex's age 10 years back = x-10 x+17= 10(x-10) x = 13 Rajeev's present age = 13 years Answer is 13
<result>B</result> | B | calc |
aqua_rat__Yd0aqqzlTdNIVFGo | When the airplane moves at an average speed of 450 kmph it reaches its destination on time. When its average speed becomes 400 kmph, then it reaches its destination 30 minutes late. Find the length of journey. Choose the correct choice from the following
A) 1250 km
B) 1500 km
C) 1100 km
D) 1800 km
E) None | Sol. Difference between timings = 30 min = 1/2 hr. Let the length of journey be x km. Then, x/400 - x/450 = 1/2 ⇔ 9x - 8x = 1800 ⇔ x = 1800 km. Answer 1800 km
<result>D</result> | D | calc |
ape210k__00534807 | For the convenience of travel, a village invited a road repair team to repair the road. The original plan was to repair 60 meters per day, but the actual repair was 15 meters more than planned every day. As a result, the task was completed 6 days ahead of schedule. How long is this road in meters? | <gadget id="calculator">60 + 15</gadget>
<output>75</output>
<gadget id="calculator">6 / 15</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">75 * (2/5)</gadget>
<output>30</output>
<gadget id="calculator">60 * 30</gadget>
<output>1_800</output>
<result>1_800</result> | 1_800 | calc |
ape210k__00437462 | A rectangular lawn is 48 meters long and 27 meters wide. Xiao Ming ran 3 laps along the edge of the lawn. How many meters did she run? | <gadget id="calculator">48 + 27</gadget>
<output>75</output>
<gadget id="calculator">75 * 2</gadget>
<output>150</output>
<gadget id="calculator">150 * 3</gadget>
<output>450</output>
<result>450</result> | 450 | calc |
ape210k__01084241 | Xiaoming’s family used 12 tons of water last month, and the water bill was 30 yuan. Xiaohong’s family used 15 tons of water. How much was Xiaohong’s water bill last month? (Solve with ratio) | <gadget id="calculator">30 / 12</gadget>
<output>5/2 = around 2.5</output>
<gadget id="calculator">(5/2) * 15</gadget>
<output>75/2 = around 37.5</output>
<result>75/2 = around 37.5</result> | 75/2 | calc |
ape210k__00153024 | What is the sum of the 4 angles of any quadrilateral in degrees? | <gadget id="calculator">180 * 2</gadget>
<output>360</output>
<result>360</result> | 360 | calc |
ape210k__00136627 | The area of a parallelogram is 65cm**2, what is the area of a triangle with the same base and height in cm**2? | <gadget id="calculator">65 / 2</gadget>
<output>65/2 = around 32.5</output>
<result>65/2 = around 32.5</result> | 65/2 | calc |
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