id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
math_qa__xlHtfeHA0GcBrQRi | After an ice began to melt out from the freezer, in the first hour lost 3/4, in the second hour lost 3/4 of its remaining. If after two hours, the volume is 0.75 cubic inches, what is the original volume of the cubic ice, in cubic inches? Choose the correct choice from the following answers:
A) 2.5 B) 3.0 C) 4.0 D) ... | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">0.75 / (1/4)</gadget>
<output>3</output>
<gadget id="calculator">3 / (1/4)</gadget>
<output>12</output>
<result>E</result> | E | calc |
aqua_rat__x86tL5kQDOQvASch | During the second quarter of 1984, a total of 2,976,000 domestic cars were sold. If this was 24% greater than the number sold during the first quarter of 1984, how many were sold during the first quarter ? Choose the correct option.
A) 714,240 B) 2,261,760 C) 2,400,000 D) 3,690,240 E) 3,915,790 | Let number of cars sold in 1st quarter = x Number of cars sold in 2nd quarter = 24% greater than the number sold during the first quarter = (1 + 24/100)=
<gadget id="calculator">(1 + 24/100)</gadget>
<output>31/25 = around 1.24</output>
1.24 x 1.24 x= 2,976,000 => x = 2,400,000 So, answer will be 2,400,000
... | C | calc |
aqua_rat__ldHQeUxMQPb1x1Mr | A tank is filled by 3 pipes A,B,C in 4 hours. Pipe C is twice as fast as B and B is twice as fast as A. How much will pipe A alone take to fill the tank ? Options.
A) 25hr B) 35hr C) 40hr D) 20hr E) 28hr | Suppose pipe A alone take x hours to fill the tank Then pipe B and C will take x/2 and x/4 hours respectively to fill the tank. 1/x + 2/x + 4/x = 1/4 7/x = 1/4 x = 28 hours Answer is 28hr
<result>E</result> | E | calc |
ape210k__00100532 | In a pile of wood, there are 8 roots in the bottom layer and 1 root in the top layer, and there is a difference between two adjacent layers. What is the total number of logs in this pile? | <gadget id="calculator">1 + 8</gadget>
<output>9</output>
<gadget id="calculator">8 / 2</gadget>
<output>4</output>
<gadget id="calculator">9 * 4</gadget>
<output>36</output>
<result>36</result> | 36 | calc |
aqua_rat__tSn3lF89TIn5Oklv | When a student Joe, weighing 45 kg, joins a group of students whose average weight is 30 kg, the average weight goes up by 1 kg. Subsequently, if two students, excluding Joe, leave the group the average weight comes back to 30 kg. What is the difference between the average weight of the two students who left and the we... | After two persons leave the group the average remains the same. That means the weight of the two persons = 45+30=
<gadget id="calculator">45+30</gadget>
<output>75</output>
75 So, the average the two persons= 37.5 That gives the answer 45-37.5=
<gadget id="calculator"> 45-37.5</gadget>
<output>7.5</output>
7.5 ... | A | calc |
ape210k__00364834 | The school plans to invest 2 million yuan to build an activity building, but the actual investment is 1.8 million yuan. What percentage of the actual investment has been saved? | <gadget id="calculator">200 - 180</gadget>
<output>20</output>
<gadget id="calculator">20 / 200</gadget>
<output>1/10 = around 0.1</output>
<result>1/10 = around 0.1</result> | 1/10 | calc |
ape210k__01124505 | 80% of a number is 5 more than 63 (3/7), what is this number? | <gadget id="calculator">3 / 7</gadget>
<output>3/7 = around 0.428571</output>
<gadget id="calculator">63 * (3/7)</gadget>
<output>27</output>
<gadget id="calculator">27 + 5</gadget>
<output>32</output>
<gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">32 / (4/5)</ga... | 40 | calc |
ape210k__00542313 | The number of electrical appliances produced in 2013 is equivalent to 120% of the plan, and the actual production in 2013 is much more than the plan. | <gadget id="calculator">120 / 100</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">(6/5) - 1</gadget>
<output>1/5 = around 0.2</output>
<result>1/5 = around 0.2</result> | 1/5 | calc |
ape210k__00713385 | boxes of bees can produce 375 kilograms of honey a year, how many kilograms of honey can be produced on average per box. | <gadget id="calculator">375 / 5</gadget>
<output>75</output>
<result>75</result> | 75 | calc |
aqua_rat__yOFsnbIqkTzU3ZsF | A manufacturer sells a pair of watches to a wholesale dealer at a profit of 18%. The wholesaler sells the same to retailer at a profit of 20%. The retailer in turn sells them to a customer for $30.09, there by earning a profit of 25%. The cost price for the manufacturer is:
Choose one
A) 16 B) 17 C) 18 D) 19 E) 20 | B 17 Let the cost price for the manufacturer be $x. Then, 125% of 120% of 118% of x = 30.09. 125/100 * 120/100 * 118/100 * x = 3009/100 177/100 x = 3009/100 => x = 17
<result>B</result> | B | calc |
ape210k__00185562 | When calculating a division with a remainder, the remainder is 6, what is the smallest divisor? | <gadget id="calculator">6 + 1</gadget>
<output>7</output>
<result>7</result> | 7 | calc |
ape210k__00675771 | If the sum of 3 consecutive even numbers is 24, what is the largest even number among them? | <gadget id="calculator">24 / 3</gadget>
<output>8</output>
<gadget id="calculator">8 + 2</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__00562647 | I caught 710 fish this week, how many fish per day on average? | <gadget id="calculator">210 / 7</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
ape210k__00666653 | A batch of goods, 25% of it was transported for the first time, and 20% less than the first transported for the second time, what percentage of the goods was transported in total for the two times? | <gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<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">(1/4) * (4/5)</gadget>
<output>1/5 = around 0.2</output>
<gadg... | 9/20 | calc |
ape210k__00050471 | A car travels 45 kilometers per hour from point A to point B, and arrives in 8 hours. It can be reached in 6 hours when returning, how many kilometers more per hour when returning than when going? | <gadget id="calculator">8 / 6</gadget>
<output>4/3 = around 1.333333</output>
<gadget id="calculator">45 * (4/3)</gadget>
<output>60</output>
<gadget id="calculator">60 - 45</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
ape210k__00291695 | On May 12, 2007, Mr. Zhang deposited 60,000 yuan in the bank for a period of one year. After the maturity, he donated the after-tax interest to the disaster area. The annual interest rate is 2.25%, and the interest tax is 5%. How much did Mr. Zhang donate? money? | <gadget id="calculator">6 * 10_000</gadget>
<output>60_000</output>
<gadget id="calculator">2.25 / 100</gadget>
<output>0.0225</output>
<gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">1 - (1/20)</gadget>
<output>19/20 = around 0.95</output>
<gadget id="calculator... | 1_282.5 | calc |
ape210k__00522543 | A piece of iron wire can be made into a rectangular parallelepiped frame with a length of 8 cm, a width of 6 cm, and a height of 4 cm. If it is used to make a cube frame, what is the length of the sides of the cube frame in cm? | <gadget id="calculator">8 + 6 + 4</gadget>
<output>18</output>
<gadget id="calculator">4 / 12</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">18 * (1/3)</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__00582404 | There is a batch of cement at a construction site. If 140 tons of cement are transported in 4 hours in the morning, 28 tons per hour in 3 hours in the afternoon. How many tons of cement are transported per hour on this day? | <gadget id="calculator">28 * 3</gadget>
<output>84</output>
<gadget id="calculator">84 + 140</gadget>
<output>224</output>
<gadget id="calculator">3 + 4</gadget>
<output>7</output>
<gadget id="calculator">224 / 7</gadget>
<output>32</output>
<result>32</result> | 32 | calc |
math_qa__2TMiQruC9MTtrFE3 | A group of 4 investment bankers and 5 clients recently frequented the Bonbon Ribs Restaurant. The total bill for the meal, including 20% gratuity, came to $756. On average, how much did the meal of each individual cost before gratuity? Pick one.
A) $ 160 B) $ 70 C) $ 90 D) $ 80 E) $ 55 | <gadget id="calculator">20 + 100</gadget>
<output>120</output>
<gadget id="calculator">120 / 100</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">756 / (6/5)</gadget>
<output>630</output>
<gadget id="calculator">4 + 5</gadget>
<output>9</output>
<gadget id="calculator">630 / 9</gadget>
<output>70<... | B | calc |
ape210k__00266197 | To produce a part, each part requires 2.4 kg of steel. After improving the process, each part can save 0.2 kg of steel. How many parts can be produced now from the steel that originally produced 880 parts? | <gadget id="calculator">2.4 - 0.2</gadget>
<output>2.2</output>
<gadget id="calculator">880 / 2.2</gadget>
<output>400</output>
<gadget id="calculator">2.4 * 400</gadget>
<output>960</output>
<result>960</result> | 960 | calc |
ape210k__00934849 | Master Li used iron sheets to make a square with a side length of 5 decimeters and a cuboid chimney with a height of 4 meters. How many square meters of iron sheets were used? | <gadget id="calculator">5 / 10</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">4 * (1/2) * 4</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__00922117 | In a pile of steel pipes, every two adjacent layers have a difference of 1, the uppermost layer has 2, and the lowermost layer has 6. How many steel pipes are there in this pile? | <gadget id="calculator">2 + 6</gadget>
<output>8</output>
<gadget id="calculator">6 - 2</gadget>
<output>4</output>
<gadget id="calculator">4 + 1</gadget>
<output>5</output>
<gadget id="calculator">5 / 2</gadget>
<output>5/2 = around 2.5</output>
<gadget id="calculator">8 * (5/2)</gadget>
<output>20</output>
<resu... | 20 | calc |
ape210k__00284377 | A truck transports a batch of coal, 25% of the total on the first day, and 28% of the total on the second day. It is known that 6 tons are transported less on the first day than on the second day. How many tons are there in total in this batch of coal? | <gadget id="calculator">28 / 100</gadget>
<output>7/25 = around 0.28</output>
<gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(7/25) - (1/4)</gadget>
<output>3/100 = around 0.03</output>
<gadget id="calculator">6 / (3/100)</gadget>
<output>200</output>
<result>20... | 200 | calc |
ape210k__00059932 | If the radius of the circle is reduced from 8 cm to 6 cm, how much does the area of the circle decrease by π square centimeters? | <gadget id="calculator">6 ** 2</gadget>
<output>36</output>
<gadget id="calculator">64 - 36</gadget>
<output>28</output>
<result>28</result> | 28 | calc |
ape210k__00587154 | Apples have more mass than bananas (3/4), and apples account for ((())/(())) of the total mass of apples and bananas. | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">1 + (3/4)</gadget>
<output>7/4 = around 1.75</output>
<gadget id="calculator">1 + (3/4) + 1</gadget>
<output>11/4 = around 2.75</output>
<gadget id="calculator">(7/4) / (11/4)</gadget>
<output>7/11 = around 0.636364</ou... | 7/11 | calc |
aqua_rat__bvs0VGNgOGH2Mf8j | At Didymus Corporation, there are just two classes of employees: silver and gold. The average salary of gold employees is $48,000 higher than that of silver employees. If there are 120 silver employees and 160 gold employees, then the average salary for the company is how much higher than the average salary for the sil... | The answer should be -> A. $24,000
<result>A</result> | A | calc |
ape210k__00293798 | If the volume of a cylinder is 36 cubic decimeters and the area of its base is 9 square decimeters, what is its height? | <gadget id="calculator">36 / 9</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
aqua_rat__Ft6qhrBL3taRNQqL | An isosceles triangle those sides are 13cm,13cm,10cm long inscribed in a circle.find the radius of the circle Options:
A) 8 cm B) 9 cm C) 10 cm D) 11 cm E) 7 cm | a,b,c are sides of triangle ,ad is the median, ad^2=ab^2-bd^2 then ad=12,the centriod median divides into 2:1 ratio so 12 will be divide into 2:1 ratio so 8 is radius. so ans is 8 cm 8 cmNSWER:8 cm
<result>A</result> | A | calc |
ape210k__00571722 | There used to be some flour in the store, each bag was 25 kilograms. After selling 7 bags, there were 350 kilograms left. How many kilograms of flour did the store have? (Solution of column equation) | <gadget id="calculator">25 * 7</gadget>
<output>175</output>
<gadget id="calculator">175 + 350</gadget>
<output>525</output>
<result>525</result> | 525 | calc |
aqua_rat__mdE35Pc0RgivCsUh | If 75 percent of a class answered the first question on a certain test correctly, 35 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?
Choose the correct choice from the following options
A) 10% B) (8) 20% C) 30%... | {Total} = {First} + {Second} - {Both} + {Neither} 100% = 75% + 35% - {Both} + 20% --> {Both} = 30%. Answer: 30%
<result>C</result> | C | calc |
aqua_rat__RVPVkMBU6N7EqAjA | The market value of a 10.5% stock, in which an income of Rs. 756 is derived by investing Rs. 9000, brokerage being 1/4%, is:
Choose the correct answer:
A) 113.2 B) 114 C) 114.75 D) 124 E) 124.75 | Face Value = Rs. 9000. Dividend = 10.5%. Annual Income = Rs. 756. Brokerage per Rs. 100 = Rs. 0.25. Dividend is always paid on the face value of a share. Face Value * Dividend / (Market Value + Brokerage per Rs. 100) = Annual income. = 9000 * 10.5 / 756 = Market Value of Rs. 100 stock + Brokerage per Rs. 10... | E | calc |
ape210k__01085259 | The sum of the numerator and denominator of a fraction is 32. If 15 is added to the numerator and denominator, the ratio of the numerator to the denominator is 15:16. What is the original fraction? | <gadget id="calculator">15 / 16</gadget>
<output>15/16 = around 0.9375</output>
<gadget id="calculator">(15/16) * 32</gadget>
<output>30</output>
<gadget id="calculator">(15/16) * 15</gadget>
<output>225/16 = around 14.0625</output>
<gadget id="calculator">(225/16) - 15</gadget>
<output>-15/16 = around -0.9375</outp... | 15/17 | calc |
ape210k__00459329 | There are 50 people who should take the exam at the end of the term, and one of them asks for leave. What is the attendance rate? | <gadget id="calculator">49 / 50</gadget>
<output>49/50 = around 0.98</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(49/50) * 1</gadget>
<output>49/50 = around 0.98</output>
<result>49/50 = around 0.98</result> | 49/50 | calc |
ape210k__01075953 | From May 29th to June 3rd, the sewing team processed a total of 360 garments. How many garments does this group process on average per day? | <gadget id="calculator">360 / 6</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
ape210k__00031570 | The number of boys in a class is more than the number of girls (1/8), the number of boys is the number of the whole class. | <gadget id="calculator">8 + 1</gadget>
<output>9</output>
<gadget id="calculator">8 + 9</gadget>
<output>17</output>
<gadget id="calculator">9 / 17</gadget>
<output>9/17 = around 0.529412</output>
<result>9/17 = around 0.529412</result> | 9/17 | calc |
ape210k__00813341 | There are 58 colored balls, divide them into 10 piles, each pile has at least one ball, and the number of balls in each pile is not equal to each other, how many different methods of dividing the piles are there? | <gadget id="calculator">1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10</gadget>
<output>55</output>
<gadget id="calculator">58 - 55</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
ape210k__01202951 | A train has traveled (3/5) from place A to place B, and it is 450 kilometers away from place B. How many kilometers is the distance between places A and B? | <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">450 / (2/5)</gadget>
<output>1_125</output>
<result>1_125</result> | 1_125 | calc |
aqua_rat__bfuxmlR4HW6paFKl | At Company K, 15 percent of the employees are secretaries and 60 percent are salespeople. If there are 40 other employees of Company K, how many employees does Company K have? Select the correct option:
A) 160 B) 180 C) 190 D) 200 E) 400 | Let the total number of employees in the company be x % of secretaries = 15% % of salespeople = 60% % of of employees other than secretaries and salespeople = 100 - 75=
<gadget id="calculator">100 - 75</gadget>
<output>25</output>
25% But this number is given as 40 so 25% of x= 40 x = 160 Therefore there... | A | calc |
ape210k__00501479 | There are 45 sets of clothes in the store, each set is 75 yuan. In order to sell as soon as possible, each set will be sold after a price reduction of 20 yuan. How much can these clothes sell now? | <gadget id="calculator">75 - 20</gadget>
<output>55</output>
<gadget id="calculator">55 * 45</gadget>
<output>2_475</output>
<result>2_475</result> | 2_475 | calc |
ape210k__00398673 | A cuboid becomes a cube if its height is reduced by 3 centimeters. At this time, the surface area is reduced by 48 square cubic centimeters. What is the volume of the original cuboid in cubic centimeters? | <gadget id="calculator">48 / 4 / 3</gadget>
<output>4</output>
<gadget id="calculator">4 + 3</gadget>
<output>7</output>
<gadget id="calculator">4 * 4 * 7</gadget>
<output>112</output>
<result>112</result> | 112 | calc |
ape210k__00754169 | 12 trees are to be planted in each row, 26 rows in total. We have 6 people, how many trees are planted by each person on average? | <gadget id="calculator">26 / 6</gadget>
<output>13/3 = around 4.333333</output>
<gadget id="calculator">12 * (13/3)</gadget>
<output>52</output>
<result>52</result> | 52 | calc |
aqua_rat__vr5nvZj86fj4qGmg | The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle?
Select.
A) 18 cm
B) 20 cm
C) 22 cm
D) 24 cm
E) 25 cm | 2(l + b) = 5 b 1 2l + 2b = 5b 3b = 2l b = 2 l 3 Then, Area = 216 cm2 l x b = 216 l x 2 l = 216 3 l2 = 324 l = 18 cm. 18 cm
<result>A</result> | A | calc |
ape210k__00306721 | The areas of the three different faces of the cuboid are 10 square centimeters, 15 square centimeters and 6 square centimeters. What is the volume of this cuboid in cubic centimeters? | <result>30</result> | 30 | calc |
ape210k__00393254 | Baifeng Farm raised 16 geese and 176 chickens. How many times more chickens are there than geese? | <gadget id="calculator">176 / 16</gadget>
<output>11</output>
<result>11</result> | 11 | calc |
ape210k__00213522 | On a map with a scale of (1/1000000), the distance from City A to City B is measured to be 12 cm. What is the actual distance in kilometers between A and B? | <gadget id="calculator">1 / 1_000_000</gadget>
<output>1/1_000_000 = around 0.000001</output>
<gadget id="calculator">12 / (1/1_000_000) / 100_000</gadget>
<output>120</output>
<result>120</result> | 120 | calc |
ape210k__00061440 | A workshop started to transfer one person every day from April 2, 2011. It is known that each person produces one product per day. The workshop produced a total of 840 products from April 1 to April 21. How many workers did the workshop have? ． | <gadget id="calculator">21 / 2</gadget>
<output>21/2 = around 10.5</output>
<gadget id="calculator">21 * (21/2)</gadget>
<output>441/2 = around 220.5</output>
<gadget id="calculator">840 - (441/2)</gadget>
<output>1_239/2 = around 619.5</output>
<gadget id="calculator">(21/2) + (1_239/2)</gadget>
<output>630</output... | 30 | calc |
ape210k__00516079 | A kind of soybean salad oil, the original price is 50 yuan, the current price is 40 yuan, what percentage is the price reduction? | <gadget id="calculator">50 - 40</gadget>
<output>10</output>
<gadget id="calculator">10 / 50</gadget>
<output>1/5 = around 0.2</output>
<result>1/5 = around 0.2</result> | 1/5 | calc |
ape210k__00404152 | There are two iron wires, one is 15 meters long and the other is 18 meters long. Cut them into small sections of the same length without any surplus. How many meters is the longest of each section? | <result>3</result> | 3 | calc |
aqua_rat__R8SSklxEsHFvideX | If 'Pink' is called 'Orange', 'Orange' is called 'Blue', 'Blue' is called 'Red', 'Red' is called 'Green', 'Green' is called 'Black' and 'Black' is called 'white', what would be the color of human blood ? Choose the correct choice
A) Green B) BLUE C) PINK D) ORANCE E) BLACK | Explanation: Pink → Orange Orange → Blue Blue → Red Red → Green Green → Black Black → White The color of human blood is 'Red' but in coding language, 'Red' is called 'Green'. So, the color of human blood is 'Green'. GreenNSWER: Green
<result>A</result> | A | calc |
ape210k__00433632 | Three cubes of wood are glued together to form a cuboid. The sum of the lengths of the sides of the cuboid is 80 cm. What is the surface area of the cuboid in square centimeters? | <gadget id="calculator">12 * 3</gadget>
<output>36</output>
<gadget id="calculator">36 - 16</gadget>
<output>20</output>
<gadget id="calculator">80 / 20</gadget>
<output>4</output>
<gadget id="calculator">4 * 3</gadget>
<output>12</output>
<gadget id="calculator">12 * 4</gadget>
<output>48</output>
<gadget id="cal... | 224 | calc |
aqua_rat__uotsGUMwLtlUfQOR | In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1/10. For a group of 700 newborn members of the population, approximately how many would be expected to survive the first 3 months of life?
Choose the correct choice from the following
A)... | Number of newborns that can die in first month = 1/10 * 700=
<gadget id="calculator">1/10 * 700</gadget>
<output>70</output>
70 Survived= 630 Number of newborns that can die in second month = 1/10 * 630=
<gadget id="calculator">1/10 * 630</gadget>
<output>63</output>
63 Survived= 567 Number of newborns that c... | A | calc |
aqua_rat__9eLCWaRR8iuWfs3E | A man can row upstream at 10kmph and downstream at 18 kmph. The speed of the stream is Choose the correct option:
A) 2.5 km/hr
B) 4 km/hr
C) 5 km/hr
D) 10.5 km/hr
E) None | Sol. Speed of stream = 1/2(18 -10) kmph = 4 kmph. Answer 4 km/hr
<result>B</result> | B | calc |
ape210k__00913855 | If the base of a triangle is 40 meters long and the height is 12 meters, what is the area of a parallelogram with the same base and height? | <gadget id="calculator">40 * 12</gadget>
<output>480</output>
<result>480</result> | 480 | calc |
ape210k__00979319 | □29/6, if the quotient has three digits, what is the smallest number in □. | <result>6</result> | 6 | calc |
math_qa__WuxpU6a70oJ0cwV3 | An inspector rejects 10% of the meters as defective. How many will he examine to reject 20? Pick one
A) 100 B) 120 C) 250 D) 200 E) 160 | <gadget id="calculator">20 * 100</gadget>
<output>2_000</output>
<gadget id="calculator">2_000 / 10</gadget>
<output>200</output>
<result>D</result> | D | calc |
ape210k__01203817 | Hope Primary School has 120 students in the fifth grade and 135 students in the sixth grade. These two grades account for 3/7 of the total number of students in the school. How many students are there in the whole school? | <gadget id="calculator">120 + 135</gadget>
<output>255</output>
<gadget id="calculator">3 / 7</gadget>
<output>3/7 = around 0.428571</output>
<gadget id="calculator">255 / (3/7)</gadget>
<output>595</output>
<result>595</result> | 595 | calc |
ape210k__00304600 | The road construction team built a total of 194 kilometers of roads on the first and second days, and 163 kilometers of roads on the second and third days. It is known that a total of 219 meters of roads were built in three days. How many kilometers of roads were built on the second day? | <gadget id="calculator">163 - 219</gadget>
<output>-56</output>
<gadget id="calculator">194 + (-56)</gadget>
<output>138</output>
<result>138</result> | 138 | calc |
aqua_rat__l0s2uIcSBl68wYrU | The line CD is parallel to AB and crosses the angle BOA so that O,B,D lie on the same line and so do O,A,C. If OA=2, AC=4 and BD=6, determine the length of OB. Choose the correct choice from the following
A) 3
B) 4
C) 5
D) 6
E) 7 | Solution: The lines 3B and CD are parallel, so by the intersect theorem, we have OB/BD=O3/3C, or OB=O3/3C.BD=2/4.6=3 3nswer 3
<result>A</result> | A | calc |
ape210k__01208253 | Master Wang originally planned to produce 28 toy cars per day, which took 15 days to complete. The actual production of 2 more toy cars per day than the original plan, the actual number of days to complete the task? | <gadget id="calculator">28 * 15</gadget>
<output>420</output>
<gadget id="calculator">28 + 2</gadget>
<output>30</output>
<gadget id="calculator">420 / 30</gadget>
<output>14</output>
<result>14</result> | 14 | calc |
aqua_rat__71BG2cKxxas7QCO7 | In covering a distance of 18 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is: Choose one
A) 3 kmph B) 6 kmph C) 6.25 kmph D) 7.5 kmph E) 7.8 kmph | Let Abhay's speed be x km/hr. Then, 18/X - 18/2X = 3 6x = 18 x = 3 km/hr. 3 kmphnswer: Option 3 kmph
<result>A</result> | A | calc |
ape210k__01205229 | The school library originally had 1,400 books, and the number of books has increased by 12% this year. How many books are there in the library now? | <gadget id="calculator">12 / 100</gadget>
<output>3/25 = around 0.12</output>
<gadget id="calculator">1 + (3/25)</gadget>
<output>28/25 = around 1.12</output>
<gadget id="calculator">1_400 * (28/25)</gadget>
<output>1_568</output>
<result>1_568</result> | 1_568 | calc |
aqua_rat__ZmHBgXAzHIAS1tTf | A sells his goods 50% cheaper than B but 50% dearer than C. The cheapest is? Choose the correct choice from the following options.
A) A B) B C) C D) all alike E) None of these | Let B = 100 A = 50 C * (150/100) = 50 3C = 100 C = 33.3 then 'C' Cheapest ANSWER:C
<result>C</result> | C | calc |
ape210k__00422942 | If the sum of three consecutive natural numbers is 180, what is the largest natural number among them? | <gadget id="calculator">180 / 3</gadget>
<output>60</output>
<gadget id="calculator">60 + 1</gadget>
<output>61</output>
<result>61</result> | 61 | calc |
aqua_rat__4g9xuXqBhzECrEYg | John makes $60 a week from his job. He earns a raise and now makes $120 a week. What is the % increase? Choose one
A) 16% B) 100% C) 17% D) 17.61% E) 17.56% | Increase = (60/60)*100 = (6/6)*100=
<gadget id="calculator">(6/6)*100</gadget>
<output>100</output>
100%. 100%
<result>B</result> | B | calc |
ape210k__00197619 | The dividend in a division formula is multiplied by 10, the divisor is divided by 10, and the quotient is multiplied | <gadget id="calculator">100 * 10</gadget>
<output>1_000</output>
<gadget id="calculator">50 / 10</gadget>
<output>5</output>
<gadget id="calculator">1_000 / 5</gadget>
<output>200</output>
<gadget id="calculator">100 / 50</gadget>
<output>2</output>
<gadget id="calculator">200 / 2</gadget>
<output>100</output>
<re... | 100 | calc |
aqua_rat__KJQpxetr0IENcchN | In a certain appliance store, each model of television is uniquely designated by a code made up of a particular ordered pair of letters. If the store has 80 different models of televisions, what is the minimum number of letters that must be used to make the codes? Answers
A) 6 B) 7 C) 9 D) 8 E) 10 | If n is the number of distinct letters used to create the two lettered codes, then a total of n∗n=n^2 different codes can be created. We need n2≥80. The smallest n which fulfills this condition is n = 9. Answer 9
<result>C</result> | C | calc |
ape210k__01130229 | Wang Gang is reading a book. He has read 3 pages less than 40% of the total number of pages in the book, leaving 75 pages unread. How many pages are there in this book? | <gadget id="calculator">75 - 3</gadget>
<output>72</output>
<gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 - (2/5)</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">72 / (3/5)</gadget>
<output>120</output>
<result>120</result> | 120 | calc |
ape210k__00539367 | rectangular playground has a perimeter of 340 meters and a width of 70 meters. What is its area in square meters? | <gadget id="calculator">340 / 2</gadget>
<output>170</output>
<gadget id="calculator">170 - 70</gadget>
<output>100</output>
<gadget id="calculator">100 * 70</gadget>
<output>7_000</output>
<result>7_000</result> | 7_000 | calc |
aqua_rat__OoQGlwr6nquIY0ps | Ron cycles his way up on a hill side and back. He takes the exact same route both ways. On the trip out he cycles an average speed of 5 miles per hour. On the trip back, downhill cycling at an average speed of 100 miles per hour, he is quick to return back. What is his approximate average speed for the round trip in mi... | Average speed = total distance/total time Here distance to hill top and back is same as he takes the same route. D = 5T1 and D=100T2 Therefore, T1 = D/5 and T2 = D/100 T1+T2 = 21d/100 Therefore, average speed = 2d/21d/100 =2d * 100/21d Answer is 9.52 Since, the options are far away we need not solve till th... | B | calc |
ape210k__00094129 | The book "Challenging Famous Brand Junior High School" published by "a certain publishing group" has a total of 230 pages, so what is the total number of numbers needed for page numbering | <gadget id="calculator">90 * 2</gadget>
<output>180</output>
<gadget id="calculator">131 * 3</gadget>
<output>393</output>
<gadget id="calculator">9 + 180 + 393</gadget>
<output>582</output>
<result>582</result> | 582 | calc |
ape210k__00283284 | The school planted a batch of 200 trees, but 20 failed to survive. What is the survival rate of this batch of trees? | <gadget id="calculator">200 - 20</gadget>
<output>180</output>
<gadget id="calculator">180 / 200</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(9/10) * 1</gadget>
<output>9/10 = around 0.9</output>
<result>9/10 = around 0.9</result> | 9/10 | calc |
ape210k__00159414 | Calculate how much 0.5**2=. | <gadget id="calculator">0.5 ** 2</gadget>
<output>0.25</output>
<result>0.25</result> | 0.25 | calc |
ape210k__00118566 | Divide 5 meters of iron wire into 7 parts on average, how many meters is each part? | <gadget id="calculator">5 / 7</gadget>
<output>5/7 = around 0.714286</output>
<result>5/7 = around 0.714286</result> | 5/7 | calc |
ape210k__01164283 | refrigerated compartment is 2.5 meters long, 2 meters wide and 1.8 meters high when measured from the inside. What is its volume in cubic meters? | <gadget id="calculator">2.5 * 2 * 1.8</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
aqua_rat__0Qcgx65nwMCxh7TX | A train is 300 meter long is running at a speed of 35 km/hour. In what time will it pass a bridge of 115 meter length? Choose the correct choice from the following choices:
A) 29 B) 23 C) 47.119 D) 44.586 E) 42.686 | Speed = 35 Km/hr = 35*(5/18) m/sec = 175/18 m/sec Total distance = 300+115=
<gadget id="calculator">300+115</gadget>
<output>415</output>
415 meter Time= Distance/speed = 415 * (18/175) = 42.686 seconds. Answer: 42.686
<result>E</result> | E | calc |
aqua_rat__VsIJ46vc2lS1zlmP | . If A is 35% greater than B then how much percentage is B smaller than A? Choose the correct option
A) 16 2/3% B) 18 2/3% C) 16% D) 17% E) None of these | Explanation: 16 2/3% = 120 B = 100 16 2/3%-B/16 2/3% * 100 = 20/120 * 100 = 2000/120 % = 200/12 % = 16 2/3% Smaller than 16 2/3% 16 2/3%nswer: Option 16 2/3%
<result>A</result> | A | calc |
gsm8k__Q0Yz18bqfCT0oUH7 | A charcoal grill burns fifteen coals to ash every twenty minutes of grilling. The grill ran for long enough to burn three bags of coals. Each bag of coal contains 60 coals. How long did the grill run? | The grill burned 3 * 60 =
<gadget id="calculator">3*60</gadget>
<output>180</output>
180 coals.
It takes 20 minutes to burn 15 coals, so the grill ran for 180 / 15 * 20 =
<gadget id="calculator">180/15*20</gadget>
<output>240</output>
240 minutes.
<result>240</result> | 240 | calc |
aqua_rat__5D7X3tPExERAV5y1 | A peanut farmer sells his peanuts through a distributor, which take a commission of 17% of the price set by the farmer. The distributor obtains the product from a farmer at the price of $15 per peanut pound. What is the price that the buyer observers if the distributor wants to maintain a 17% profit on the cost of each... | Farmer price = $15;
The distributor wants to maintain a 17% profit on the cost of each peanut pound, thus he must get $ 15*1.17=
<gadget id="calculator"> 15*1.17</gadget>
<output>17.55</output>
$17.55 after the distributor takes a commission of 17% of the final price --> (final price)*0.83= $17.55 --> (final pri... | A | calc |
aqua_rat__276r1MPdFlpp9HHP | A shipment of 1500 heads of cabbage, each of which was approximately the same size, was purchased for $600. The day the shipment arrived 1/3 of the heads were sold, each at 25% above the cost per head. The following day the rest were sold at a price equal to 10% less than the price each head sold for on the day before.... | Purchase cost = 600/1500=
<gadget id="calculator">600/1500</gadget>
<output>2/5 = around 0.4</output>
$ 0.4 25% above the cost per head= (125/100)*0.4=
<gadget id="calculator">(125/100)*0.4</gadget>
<output>0.5</output>
$ 0.5 2/3 of the heads were sold means 1/3*1500=
<gadget id="calculator">1/3*1500</gadget>
<o... | B | calc |
ape210k__00613902 | 7x+9x=how much x | <gadget id="calculator">7 + 9</gadget>
<output>16</output>
<result>16</result> | 16 | calc |
aqua_rat__CXPQemtkRkWYymEc | A chair is bought for Rs.1000/- and sold at a loss of 20% find its selling price Select.
A) Rs.800/- B) Rs.510/- C) Rs.515/- D) Rs.530/- E) Rs.540/- | Loss = 1000*20/100=
<gadget id="calculator">1000*20/100</gadget>
<output>200</output>
200 S.P= C.P - Loss = 1000- 200 =Rs.800/- Rs.800/-nswer :Rs.800/-
<result>A</result> | A | calc |
ape210k__00183200 | color TV in an electrical appliance store is sold at the original price, with a profit of 180 yuan per set; now it is sold at a reduced price, and the sales volume of color TVs has doubled after the price reduction, and the profit ratio of the profit obtained before the price reduction is 3:2. How much is the price cut... | <gadget id="calculator">3 / 2</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">(3/2) / 2</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">180 * (3/4)</gadget>
<output>135</output>
<gadget id="calculator">180 - 135</gadget>
<output>45</output>
<result>45</result> | 45 | calc |
ape210k__01048357 | After removing 400 grams from a bag of flour, 4600 grams remain, what is the original kilogram of this bag of flour? | <gadget id="calculator">400 + 4_600</gadget>
<output>5_000</output>
<gadget id="calculator">5_000 / 1_000</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
aqua_rat__Q9hyFDyv7ODV99ZL | If each digit in the set A = {1, 2, 3, 4, 5, 6, 7} is used exactly once, in how many ways can the digits be arranged? Pick one:
A) 4830 B) 5040 C) 5250 D) 5460 E) 5680 | 7! = 5040 The answer is 5040.
<result>B</result> | B | calc |
ape210k__01137341 | A car travels 216 kilometers in 4 hours. If it travels at this speed for another 2 hours, how many kilometers has it traveled in total? ． | <gadget id="calculator">216 / 4</gadget>
<output>54</output>
<gadget id="calculator">4 + 2</gadget>
<output>6</output>
<gadget id="calculator">54 * 6</gadget>
<output>324</output>
<result>324</result> | 324 | calc |
ape210k__00343913 | There is a batch of goods, (1/4) of which was shipped on the first day, and (3/5) of the first day were shipped on the second day, and there are still 90 tons that have not been shipped. How many tons is this shipment? | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">(1/4) * (3/5)</gadget>
<output>3/20 = around 0.15</output>
<gadget id="calculator">1 - (1/4) - (3/20)</gadget>
<output>3/5 = around 0.6</output>
... | 150 | calc |
math_qa__xDYqDrQYzESDUff9 | An inspector rejects 0.02% of the meters as defective. How many will he examine to reject 2?
Choose the correct choice:
A) 1500 B) 10000 C) 2500 D) 3000 E) 3100 | <gadget id="calculator">2 * 100</gadget>
<output>200</output>
<gadget id="calculator">200 / 0.02</gadget>
<output>10_000</output>
<result>B</result> | B | calc |
aqua_rat__laGu0je7BYs7PImr | The length of the bridge, which a train 140 m long and traveling at 45 km/hr can cross in 30 sec is? Pick one.
A) 235
B) 240
C) 245
D) 250
E) 255 | Speed = 45 * 5/18 = 25/2 m/sec. Time = 30 sec Let the length of bridge be x meters. Then, (140 + x)/30 = 25/2 x = 235 m. 235nswer: Option 235
<result>A</result> | A | calc |
aqua_rat__fJcqXbzhv5F8lxdi | Jonathan can type a 50 page document in 40 minutes, Susan can type it in 30 minutes, and Jack can type it in 24 minutes. Working together, how much time will it take them to type the same document? Choose the correct choice from the following answers: A) 5 minutes B) 10 minutes C) 15 minutes D) 18 minutes E) 20 minutes | You may set up common equation like this: job/A+job/B+job/C=job/x Memorize this universal formula, you will need it definitely for GMAT. and find x from this equation In this specific case, the equation will look like this: 50/40+50/30+50/24=50/x If you solve this equation, you get the same answer 10 minute... | B | calc |
ape210k__00306454 | A and B start from the same place in the same direction, A travels 7 kilometers per hour, and B travels 5 kilometers per hour. B walks for 2 hours before A starts walking. How long does it take for A to catch up with B? | <gadget id="calculator">7 - 5</gadget>
<output>2</output>
<gadget id="calculator">2 / 2</gadget>
<output>1</output>
<gadget id="calculator">5 * 1</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
aqua_rat__JoG6o224KJZzCZ25 | A box contains nine bulbs out of which 4 are defective. If four bulbs are chosen at random, find the probability that all the four bulbs are defective. Choose the correct choice from the following options.
A) 1/187 B) 1/127 C) 1/178 D) 1/129 E) 1/126 | Out of nine, five are good and four are defective. Required probability = ⁴C₄/⁹C₄ = 1/126 Answer:1/126
<result>E</result> | E | calc |
aqua_rat__rJBvOZis02JfSS2r | Priya covers journey from kavali to nellore by car at average speed of 70 Km/hr. She returns back by scooty with an average speed of 40 Km/hr. Find her average speed during the whole journey?
Select:
A) 50 Km/hr
B) 50.90 Km/hr
C) 50.95 Km/hr
D) 52 Km/hr
E) 53 km/hr | Explanation: Average speed = 2 xy/x+y = 2*70*40/110 = 50.90 Km/hr Answer: Option 50.90 Km/hr
<result>B</result> | B | calc |
ape210k__00693331 | In front of Wang Li's house, there is a parallelogram-shaped flower garden with a base of 3 meters and a height of 8 meters. On average, 2 flowers are produced per square decimeter. How many flowers can this flower garden produce in total? | <gadget id="calculator">3 * 8 * 2</gadget>
<output>48</output>
<result>48</result> | 48 | calc |
math_qa__r2ty6u5di2esSwdR | The arithmetic mean and standard deviation of a certain normal distribution are 16.2 and 2.3, respectively. What value is exactly 2 standard deviations less than the mean? Choose the correct choice: A) 10.5 B) 11 C) 11.6 D) 12 E) 12.5 | <gadget id="calculator">2 * 2.3</gadget>
<output>4.6</output>
<gadget id="calculator">16.2 - 4.6</gadget>
<output>11.6</output>
<result>C</result> | C | calc |
ape210k__00581113 | Calculation: (8/9)/(1/3)+(4/9)/(2/3). | <gadget id="calculator">8 / 9</gadget>
<output>8/9 = around 0.888889</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(8/9) / (1/3)</gadget>
<output>8/3 = around 2.666667</output>
<gadget id="calculator">4 / 9</gadget>
<output>4/9 = around 0.444444</outpu... | 10/3 | calc |
ape210k__00841201 | The fruit shop bought back 72 kg of apples and 123 kg of pears. The oranges bought back are three times the total number of apples and pears. How many kilograms of oranges are bought back? | <gadget id="calculator">72 + 123</gadget>
<output>195</output>
<gadget id="calculator">195 * 3</gadget>
<output>585</output>
<result>585</result> | 585 | calc |
ape210k__00796441 | Toffee per bag (1/10) kg, 15 yuan per kg. Crispy sugar per bag (1/4) kg, 12 yuan per kg. How many bags can you buy with the money to buy 16 bags of toffee? | <gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">12 * (1/4)</gadget>
<output>3</output>
<gadget id="calculator">15 / 3</gadget>
<output>5</output>
<gadget id="calculator">(1/10) * 16 * 5</gadg... | 8 | calc |
ape210k__00530986 | The two cities A and B are 300 kilometers apart. It takes 5 hours to travel by motorcycle and 25 hours by bicycle. Wang Liang starts from City A and rides a bicycle for 5 hours first, and then changes to a motorcycle. How many hours did it take him to go from city A to city B? | <gadget id="calculator">300 / 25</gadget>
<output>12</output>
<gadget id="calculator">12 * 5</gadget>
<output>60</output>
<gadget id="calculator">300 - 60</gadget>
<output>240</output>
<gadget id="calculator">300 / 5</gadget>
<output>60</output>
<gadget id="calculator">240 / 60</gadget>
<output>4</output>
<gadget ... | 9 | calc |
ape210k__00554099 | A cylinder and a cone with the same base and height have a volume difference of 30 cubic meters, what is the volume of the cylinder in cubic meters | <gadget id="calculator">3 - 1</gadget>
<output>2</output>
<gadget id="calculator">30 / 2</gadget>
<output>15</output>
<gadget id="calculator">15 * 3</gadget>
<output>45</output>
<result>45</result> | 45 | calc |
ape210k__00153739 | 123456789*1111...1,2014 1) What is the sum of the digits in the product? | <gadget id="calculator">2_014 - 8</gadget>
<output>2_006</output>
<gadget id="calculator">9 * 2_006</gadget>
<output>18_054</output>
<gadget id="calculator">9 + 7 + 5 + 2 + 8 + 2 + 6 + 8 + 18_054 + 0 + 2 + 4 + 7 + 1 + 7 + 3 + 1</gadget>
<output>18_126</output>
<result>18_126</result> | 18_126 | calc |
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