id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00020522 | Cut a 5-meter-long rope into 6 sections on average, how many meters is each section? | <gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>
<result>5/6 = around 0.833333</result> | 5/6 | calc |
ape210k__01202213 | There are 540 boys in the school, which is 60 fewer than the number of girls (5/6). How many girls are there in the school? | <gadget id="calculator">540 + 60</gadget>
<output>600</output>
<gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">600 / (5/6)</gadget>
<output>720</output>
<result>720</result> | 720 | calc |
aqua_rat__YibQQyFE6RULz9o2 | A man two flats for $675958 each. On one he gains 14% while on the other he loses 14%. How much does he gain or lose in the whole transaction?
Select the correct option
A) 1.96% B) 2.56% C) 3.12% D) 4.65% E) 5.12% | In such a case there is always a loss Loss% = (14/10)^2 = 49/25=
<gadget id="calculator">49/25</gadget>
<output>49/25 = around 1.96</output>
1.96% 1.96%nswer is 1.96%
<result>A</result> | A | calc |
ape210k__00178746 | What is the average of the four numbers 17, 13, 12, and 18 | <gadget id="calculator">17 + 13 + 12 + 18</gadget>
<output>60</output>
<gadget id="calculator">60 / 4</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
math_qa__3GvxPyK403MXxC0B | A man purchased 5 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets? Pick: A) 250 B) 350 C) 450 D) 470 E) 500 | <gadget id="calculator">10 * 150</gadget>
<output>1_500</output>
<gadget id="calculator">5 * 100</gadget>
<output>500</output>
<gadget id="calculator">5 * 150</gadget>
<output>750</output>
<gadget id="calculator">500 + 750</gadget>
<output>1_250</output>
<gadget id="calculator">1_500 - 1_250</gadget>
<output>250</o... | A | calc |
aqua_rat__0k5Djr3Rn1tNADsV | A boat can travel with a speed of 22 km/hr in still water. If the speed of the stream is 5 km/hr, find the time taken by the boat to go 108 km downstream Choose one
A) 5 hours B) 4 hours C) 3 hours D) 2 hours E) None of these | Explanation : Speed of the boat in still water = 22 km/hr speed of the stream = 5 km/hr Speed downstream = (22+5)=
<gadget id="calculator">(22+5)</gadget>
<output>27</output>
27 km/hr Distance travelled downstream= 108 km Time taken = distance/speed = 108/27=
<gadget id="calculator">108/27</gadget>
<output>... | B | calc |
aqua_rat__2tzrx4PiaFUmngIe | In a match, awards are given to each of 11 members of the team and a trophy to the team. In all winning team gets 2.75kg weight awards. If the weight of match wining trophy is 1.275kg, what the weight of each player giving weight of trophy ? Choose the most appropriate option: A) 134.09 gms B) 144.09 gms C) 154.09 g... | Total weight of all the awards for winning team is 2.75kg = 2750gms trophy weight is 1.275 kg=1275gms now rest weight = 2750-1275=
<gadget id="calculator">2750-1275</gadget>
<output>1_475</output>
1475gms rest weight divided in 11 players is= 1475/11 = 134.09 gms 134.09 gmsNSWER:134.09 gms
<result>A</result> | A | calc |
ape210k__00577888 | Jindun Garment Factory strictly controls the quality of garment production, and inspects the garments produced every day. After inspection, 693 suits passed the inspection on a certain day, and 7 suits failed. What is the pass rate? | <gadget id="calculator">693 + 7</gadget>
<output>700</output>
<gadget id="calculator">693 / 700</gadget>
<output>99/100 = around 0.99</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(99/100) * 1</gadget>
<output>99/100 = around 0.99</output>
<result>99/100 = around 0.9... | 99/100 | calc |
ape210k__00051885 | The grain store shipped 50 bags of rice and 40 bags of flour, each bag of rice was 25 kg, and each bag of flour was 20 kg. How many kilograms more rice was shipped than flour? | <gadget id="calculator">25 * 50</gadget>
<output>1_250</output>
<gadget id="calculator">20 * 40</gadget>
<output>800</output>
<gadget id="calculator">1_250 - 800</gadget>
<output>450</output>
<result>450</result> | 450 | calc |
math_qa__gNk1LRXyNYYKtJZ3 | In a fuel station the service costs $2.10 per vehicle and every liter of fuel costs $0.70. Assuming that you fill up 3 mini-vans and 2 trucks, what will be the total cost, if a mini-van's tank is 65 liters and a truck's tank is 120% bigger and they are all empty? Choose the most appropriate option:
A) $ 338.50
B) $ 341... | <gadget id="calculator">120 * 65</gadget>
<output>7_800</output>
<gadget id="calculator">7_800 / 100</gadget>
<output>78</output>
<gadget id="calculator">78 + 65</gadget>
<output>143</output>
<gadget id="calculator">143 * 2</gadget>
<output>286</output>
<gadget id="calculator">286 * 0.7</gadget>
<output>200.2</outp... | D | calc |
ape210k__00683629 | In the mid-term exam, Xiaoli's average score in three subjects is 95 points, 95 points in mathematics, 90 points in English, how much is the score in Chinese? | <gadget id="calculator">95 * 3</gadget>
<output>285</output>
<gadget id="calculator">90 + 95</gadget>
<output>185</output>
<gadget id="calculator">285 - 185</gadget>
<output>100</output>
<result>100</result> | 100 | calc |
aqua_rat__770siql0YXTWgoup | How many positive integers less than 60 have a reminder 01 when divided by 4?
Choose the correct choice from the following:
A) 13 B) 14 C) 15 D) 16 E) 17 | 1 also gives the remainder of 1 when divided by 4. So, there are total of 15 numbers. Answer: 15.
<result>C</result> | C | calc |
ape210k__00017677 | On the same road, Xiao Ming rides a bicycle and goes in the same direction as Xiao Guang. The speed of Xiao Ming’s bicycle is three times that of Xiao Guang. Every 10 minutes, a bus passes Xiao Guang, and every 20 minutes, a bus passes Xiao Ming. , if a bus departs from the departure station at the same interval each t... | <gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">(1/10) - (1/20)</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">(1/20) / 2</gadget>
<output>1/40 = around 0.025</output>
... | 8 | calc |
ape210k__00425105 | There were 640 students in Hongqi Primary School last year, which is an increase of (1/8) this year compared to last year. How many students are there this year? | <gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">1 + (1/8)</gadget>
<output>9/8 = around 1.125</output>
<gadget id="calculator">640 * (9/8)</gadget>
<output>720</output>
<result>720</result> | 720 | calc |
ape210k__01009423 | The school held a table tennis competition, every group of 5 students, every two students in the group had to play one game, and the student with the most points was selected to represent the group. How many games will each team play in total? | <gadget id="calculator">5 - 1</gadget>
<output>4</output>
<gadget id="calculator">2 / 4</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">4 * (1/2)</gadget>
<output>2</output>
<gadget id="calculator">20 / 2</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__00294886 | A cylinder has a volume of 141.3 cubic centimeters and a base radius of 3 centimeters, what is its lateral area? | <gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">141.3 / 3.14 / 9</gadget>
<output>5</output>
<gadget id="calculator">3.14 * 3 * 2 * 5</gadget>
<output>94.2</output>
<result>94.2</result> | 94.2 | calc |
ape210k__00883917 | Paint a living room. It is known that the living room is 6 meters long, 4 meters wide, and 3 meters high. If the door and window area is 12 square meters, if the paint fee is 3.5 yuan per square meter, how much will it cost to paint the living room? | <gadget id="calculator">6 * 4</gadget>
<output>24</output>
<gadget id="calculator">6 * 3 * 2</gadget>
<output>36</output>
<gadget id="calculator">4 * 3 * 2</gadget>
<output>24</output>
<gadget id="calculator">24 - 12</gadget>
<output>12</output>
<gadget id="calculator">24 + 36 + 12</gadget>
<output>72</output>
<ga... | 252 | calc |
ape210k__01115053 | barrel of oil weighs 50 kg, how many tons does 20 barrels weigh? | <gadget id="calculator">50 * 20</gadget>
<output>1_000</output>
<gadget id="calculator">1_000 / 1_000</gadget>
<output>1</output>
<result>1</result> | 1 | calc |
ape210k__00592045 | Xiaowei’s house is going to use floor tiles to pave the floor, and it needs 72 square floor tiles with a side length of 5dm. If the square floor tiles with a side length of 3dm are used instead, how many floor tiles are needed? (Solve with ratio) | <gadget id="calculator">5 * 5 * 72</gadget>
<output>1_800</output>
<gadget id="calculator">3 * 3</gadget>
<output>9</output>
<gadget id="calculator">1_800 / 9</gadget>
<output>200</output>
<result>200</result> | 200 | calc |
math_qa__b9rYCFYIVXYKHZQi | If 24 men take 15 days to to complete a job, in how many days can 18 men finish that work?
Choose the correct choice from the following answers: A) 20 B) 19 C) 18 D) 17 E) 16 | <gadget id="calculator">24 * 15</gadget>
<output>360</output>
<gadget id="calculator">360 / 18</gadget>
<output>20</output>
<result>A</result> | A | calc |
ape210k__00099474 | A 24 cm long wire is used to form a 7 cm long rectangle, what is its width in cm? | <gadget id="calculator">24 / 2</gadget>
<output>12</output>
<gadget id="calculator">12 - 7</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
ape210k__00506623 | Uncle Liu’s rectangular chicken house is 8 meters wide and has an area of 680 square meters. If you want to change the width to 24 meters and keep the length unchanged, how many square meters should the area be? | <gadget id="calculator">24 / 8</gadget>
<output>3</output>
<gadget id="calculator">680 * 3</gadget>
<output>2_040</output>
<result>2_040</result> | 2_040 | calc |
aqua_rat__sFKCQkxjhKjfiadg | The average age of 3 girls is 16 years and their ages are in the proportion 1:2:3. The age of the youngest girl is?
Pick one.
A) 12 years B) 7 years C) 9 years D) 10 years E) 8 years | Total age of 3 boys = 16*3=
<gadget id="calculator">16*3</gadget>
<output>48</output>
48 ratio of their ages= 1:2:3 Age of the youngest =48*1/6=
<gadget id="calculator">48*1/6</gadget>
<output>8</output>
8 years Answer is 8 years
<result>E</result> | E | calc |
aqua_rat__JAFS0iUrtpu21COv | Lisa and Robert have taken the same number of photos on their school trip. Lisa has taken 3 times as many photos as Claire and Robert has taken 28 more photos than Claire. How many photos has Claire taken?
Choices: A) 6 B) 8 C) 10 D) 12 E) 14 | L = R L = 3C R = C + 28 3C = C + 28 C = 14 The answer is 14.
<result>E</result> | E | calc |
ape210k__00031187 | A copy of "Black Cat Sheriff" is 0.5 yuan cheaper than a copy of "Flower Fairy", and a copy of "Pleasant Goat and Big Big Wolf" is 3.8 yuan more expensive than a copy of "Black Cat Sheriff". It is known that the price of a copy of "Flower Fairy" is 4.8 yuan, how much is a copy of "Pleasant Goat and Big Big Wolf"? | <gadget id="calculator">4.8 - 0.5</gadget>
<output>4.3</output>
<gadget id="calculator">4.3 + 3.8</gadget>
<output>8.1</output>
<result>8.1</result> | 8.1 | calc |
ape210k__00166998 | A total of 15 kilograms of rice and flour were bought from the store, and rice accounted for (3/4). Later, some flour was bought, and rice accounted for (1/2) of the total weight. How many kilograms of flour did you buy back later? | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(3/4) / (1/2)</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">15 * (3/2)</gadget>
<output>45/2 = around 22.5</output>
<gadget ... | 15/2 | calc |
aqua_rat__pb1bxf9ydZjCJHNT | If a(a + 2) = 99 and b(b + 2) = 99, where a ≠ b, then a + b = Select
A) -2 B) -5 C) -8 D) -10 E) -12 | i.e. if a = 9 then b = -11 or if a = -11then b = 9 But in each case a+b = -11+9 = -2 -2nswer: -2
<result>A</result> | A | calc |
ape210k__00340519 | Xiaojun read a 120-page story book and read 20% of it in 4 days. According to this calculation, how many days will it take to finish reading the remaining pages? (Solve it in two ways, one of which is a proportional solution) | <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">(1/5) / 4</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">(4/5) / (1/20)</gadget>
<output>16</output>
<result>16</resu... | 16 | calc |
ape210k__01001187 | A highway is 15 kilometers long, 12 kilometers have been repaired, and how much is left to be repaired. | <gadget id="calculator">15 - 12</gadget>
<output>3</output>
<gadget id="calculator">3 / 15</gadget>
<output>1/5 = around 0.2</output>
<result>1/5 = around 0.2</result> | 1/5 | calc |
ape210k__00464337 | It takes about 2 seconds for a car to run 12 meters, so how many hours does it take to run a lap on a circular track with a radius of 60 meters at this speed? (L take 3) | <gadget id="calculator">12 / 2</gadget>
<output>6</output>
<gadget id="calculator">60 / 6</gadget>
<output>10</output>
<gadget id="calculator">2 * 3 * 10</gadget>
<output>60</output>
<gadget id="calculator">1 / 60</gadget>
<output>1/60 = around 0.016667</output>
<result>1/60 = around 0.016667</result> | 1/60 | calc |
ape210k__00099127 | A cylindrical children's swimming pool has a bottom radius of 4 meters and a depth of 0.5 meters. Spread cement around it and the bottom of the pool, 10 kilograms of cement is needed per square meter, how many kilograms of cement are used in total? | <gadget id="calculator">3.14 * 4 * 2 * 0.5</gadget>
<output>12.56</output>
<gadget id="calculator">4 ** 2</gadget>
<output>16</output>
<gadget id="calculator">3.14 * 16</gadget>
<output>50.24</output>
<gadget id="calculator">12.56 + 50.24</gadget>
<output>62.8</output>
<gadget id="calculator">62.8 * 10</gadget>
<ou... | 628 | calc |
aqua_rat__goInOmPNNlaKaNAw | A and B together can complete work in 8 days. A alone starts working and leaves it after working for 6 days completing only half of the work. In how many days it can be completed if the remaining job is undertaken by B? Choose the correct choice from the following answers:
A) 4
B) 8
C) 5
D) 12
E) 7 | Explanation: (A+B) one day work =1/8 now A does half of the work in 6 day so A can complete the whole work in 12 days A’s one day work =1/12 B’s one day work=1/8 - 1/12= 1/24 B alone can complete the work in 24 days so half of the work in 12 days Answer: Option 12
<result>D</result> | D | calc |
aqua_rat__VpHtzKqJ4YJtX5rX | The average (arithmetic mean) of the 5 positive integers k, m, r, s, and t is 18, and k < m < r < s < t. If t is 40, what is the greatest possible value of the median of the 5 integers? Choose the correct choice from the following answers:
A) 16 B) 23 C) 19 D) 20 E) 22 | We need to find the median which is the third value when the numbers are in increasing order. Since k<m<r<s<t, the median would be r. The average of the positive integers is 18 which means that in effect, all numbers are equal to 18. If the largest number is 40, it is 22 more than 18. We need r to be maxi... | B | calc |
mawps__WyVlbJFHXSvPUbTy | Linda had 163 pineapple. Helen clutched some pineapple. Now Linda has 20 pineapple. How many did Helen clutcheds? | <gadget id="calculator">163 - 20</gadget>
<output>143</output>
<result>143</result> | 143 | calc |
ape210k__00302932 | Master Gao made 168 parts in 8 hours, and Master Zhu made 120 parts in 5 hours. How many more parts per hour does Master Zhu make than Gao Zhu? The column comprehensive formula is: how much. | <gadget id="calculator">120 / 5</gadget>
<output>24</output>
<gadget id="calculator">168 / 8</gadget>
<output>21</output>
<gadget id="calculator">24 - 21</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
ape210k__00178975 | If the circumference of a circle is reduced by 30%, how much is the area reduced? | <gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">1 - (3/10)</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">(7/10) * (7/10)</gadget>
<output>49/100 = around 0.49</output>
<gadget id="calculator">1 - (49/100)</gadget>
<output>51/100 = around 0.51... | 51/100 | calc |
aqua_rat__hLmW6trcjjTnGUav | A group of hikers is planning a trip that will take them up a mountain using one route and back down using another route. They plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up, but the time each route will take is the same. If they will go up the mountain at a rate... | D = S*T Given condition is for UP the mountain hikers takes 4 miles per day and total 2 days... miles = 8 miles... For DOWN speed they take = 3/2(4) = 6 miles per day and for the same 2 days... miles = 12 miles.. Answer: option 12 is correct answer
<result>D</result> | D | calc |
ape210k__00723131 | The area of a triangle is 24 square decimeters, its base is 8 decimeters, what is its height? | <gadget id="calculator">2 / 8</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">24 * (1/4)</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
aqua_rat__2kQkrJIsc25hffzc | At an examination in which full marks were 500. A got 10% less than B, B got 25% more than C and C got 20% less than D. If A got 360marks, what percentage of full marks was obtained by D?
Pick
A) 40% B) 44% C) 80% D) 90% E) 100% | Explanation: A B 80% D 90 100 80 100 A D 90 ----- 100 360 ------ ? = 400 500 ------ 400 100 ------- ? => 80% Answer: Option 80%
<result>C</result> | C | calc |
ape210k__00262780 | If 5 yuan buys 4 kilograms of cabbage, how many kilograms of cabbage can 1 yuan buy? | <gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<result>4/5 = around 0.8</result> | 4/5 | calc |
aqua_rat__UO8lUkKH7ymqtvAi | A car takes 6 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time? Choose the correct choice from the following answers: A) 60 Kmph B) 70 Kmph C) 80 Kmph D) 85 Kmph E) 90 Kmph | Time = 6 Distence = 540 3/2 of 6 hours = 6 * 3/2=
<gadget id="calculator">6 * 3/2</gadget>
<output>9</output>
9 Hours Required speed= 540/9=
<gadget id="calculator">540/9</gadget>
<output>60</output>
60 Kmph 60 Kmph
<result>A</result> | A | calc |
ape210k__00497149 | A cuboid metal water tank without a cover is 8 decimeters long, 6 decimeters wide, and 5 decimeters high. How many square decimeters of iron sheet is needed to make such a water tank? (interface not counted) | <gadget id="calculator">8 * 6</gadget>
<output>48</output>
<gadget id="calculator">8 * 5 * 2</gadget>
<output>80</output>
<gadget id="calculator">6 * 5 * 2</gadget>
<output>60</output>
<gadget id="calculator">48 + 80 + 60</gadget>
<output>188</output>
<result>188</result> | 188 | calc |
ape210k__00542909 | Cut a 4-meter-long iron wire into 6 equal sections, how much of the total length does each section occupy? | <gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<result>1/6 = around 0.166667</result> | 1/6 | calc |
gsm8k__jbuZc5CCaB3cKPJL | Cilia wants to buy a multi-level dumbbell system. The first pair of dumbbells are 3 lb weights, the second pair is 5 lb weights and the third is 8 lb pounds. How much does the entire system weigh? | The first pair of weights weighs 3 lb each so all total they weigh 2*3 =
<gadget id="calculator">3*2</gadget>
<output>6</output>
6 lbs.
The second pair of weights weigh 5 lbs each so they weigh 2*5 =
<gadget id="calculator">5*2</gadget>
<output>10</output>
10 lbs.
The third pair of weights weigh 8 lbs each so they we... | 32 | calc |
ape210k__00392548 | The students collected tree seeds. The third grade collected 45 kilograms, and the fourth grade collected three times that of the third grade. How many kilograms were collected in the fourth grade than in the third grade? (calculated using two arithmetic methods) | <gadget id="calculator">45 * 3</gadget>
<output>135</output>
<gadget id="calculator">135 - 45</gadget>
<output>90</output>
<result>90</result> | 90 | calc |
aqua_rat__bGrf3OoMhV99BWZD | Let S be the set of all positive integers that, when divided by 8, have a remainder of 5. What is the 72th number in this set? Options.
A) 573 B) 608 C) 613 D) 616 E) 621 | The set S = {5, 13, 21, 29, ..................... } 1st Number = 8 * 0 + 5=
<gadget id="calculator">8 * 0 + 5</gadget>
<output>5</output>
5 2nd Number= 8 * 1 + 5=
<gadget id="calculator">8 * 1 + 5</gadget>
<output>13</output>
13 3rd Number= 8 * 2 + 5=
<gadget id="calculator">8 * 2 + 5</gadget>
<output>21</outp... | A | calc |
math_qa__UetSPTTDSUgW7P3F | The sale price sarees listed for Rs.350 after successive discount is 20% and 5% is? Select:
A) 266
B) 278
C) 342
D) 787
E) 191 | <gadget id="calculator">350 * 20</gadget>
<output>7_000</output>
<gadget id="calculator">7_000 / 100</gadget>
<output>70</output>
<gadget id="calculator">350 - 70</gadget>
<output>280</output>
<gadget id="calculator">280 * 5</gadget>
<output>1_400</output>
<gadget id="calculator">1_400 / 100</gadget>
<output>14</ou... | A | calc |
aqua_rat__WaoTW23wibQbUxrh | An employer has 7 applicants for a programming position and 4 applicants for a manager position. If the employer must hire 3 programmers and 2 managers, what is the total number of ways the employer can make the selection?
Pick: A) a) 1,490 B) b) 132 C) c) 210 D) d) 60 E) e) 23 | 7C3 * 4C2 = 210. Answer c) 210.
<result>C</result> | C | calc |
gsm8k__CWcom7ATiiF8v0v2 | Jenny is planning her catering budget for her wedding. She's going to have 80 guests. 3 times as many guests want steak as chicken. If each steak entree costs $25 and each chicken entree costs $18, how much is the total catering budget? | Let s be the number of guests who want steak and c be the number who want chicken. We know that s + c = 80 and s = 3c.
Substituting the second equation into the first equation, we get 3c + c = 80.
Combining like terms, we get 4c = 80.
Dividing both sides by 4, we get c = 20.
Then multiply the number of guests who want ... | 1_860 | calc |
ape210k__00911683 | For the multiplication formula A*B, if A increases by 5 and B remains unchanged, the product of A and B increases by 60; if A remains unchanged and B increases by 6, then the product of A and B increases by 144. So, what is the original product? | <gadget id="calculator">60 / 5</gadget>
<output>12</output>
<gadget id="calculator">144 / 6</gadget>
<output>24</output>
<gadget id="calculator">12 * 24</gadget>
<output>288</output>
<result>288</result> | 288 | calc |
aqua_rat__9Wn2LYNyeCxlvyW4 | There was one mess for 30 boarders in a certain hostel. The number of boarders being increased by 10, the expenses of the mess were increased by Rs 40 per month while the average expenditure per head diminished by Rs 2. Find the original monthly expenses. Select:
A) Rs 390 B) Rs 410 C) Rs 360 D) Cannot be determined E)... | Let X rupees be the average of 30 boarders 30X + 40= (X - 2) x 40 X = 12 Hence, original expenditure = Rs 12 x 30 = Rs 360. ANSWER:Rs 360
<result>C</result> | C | calc |
aqua_rat__W8SSQwsxtk8v7jku | At a local appliance manufacturing facility, the workers received a 25% hourly pay raise due to extraordinary performance. If one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged, by approximately what percent would he reduce the number of hours that he worked? ... | Let's say he works usually 10 hours and earns 100 per hour. 10 * 100=
<gadget id="calculator">10 * 100</gadget>
<output>1_000</output>
1000 10 * 125=
<gadget id="calculator">10 * 125</gadget>
<output>1_250</output>
1250 (this are the new earnings after the raise) To figure out how much he needs to work with the... | C | calc |
aqua_rat__LtSIkB90uOPaaglN | A, B and C are partners in a business. Their capitals are respectively, Rs.5000, Rs.6000 and Rs.4000. A gets 30% of the total profit for managing the business. The remaining profit is divided among three in the ratio of their capitals. In the end of the year, the profit of A is Rs.200 more than the sum of the profits o... | Explanation: A:B:C = 5:6:4 Let the total profit = 100 - 30=
<gadget id="calculator">100 - 30</gadget>
<output>70</output>
70 5/15 * 70= 70/3 A share = 70/3 + 30 = 160/3 B + C share = 100 - 160/3 = 140/3 A-(B+C) = 160/3 - 140/3 = 20/3 20/3 ---- 200 100 ---- ? => 3000 ANSWER IS Rs.3000
<result>D</re... | D | calc |
ape210k__00064205 | The upper base of a trapezoid is 28 decimeters, the lower base is 30 decimeters, and the height is 16 decimeters. What is its area? | <gadget id="calculator">28 + 30</gadget>
<output>58</output>
<gadget id="calculator">16 / 2</gadget>
<output>8</output>
<gadget id="calculator">58 * 8</gadget>
<output>464</output>
<result>464</result> | 464 | calc |
ape210k__00603555 | If the base of a cuboid is a square with side length 3 decimeters and a height of 12 decimeters, what is the surface area of the rectangle? | <gadget id="calculator">3 * 3</gadget>
<output>9</output>
<gadget id="calculator">3 * 12</gadget>
<output>36</output>
<gadget id="calculator">9 + 36 + 36</gadget>
<output>81</output>
<gadget id="calculator">81 * 2</gadget>
<output>162</output>
<result>162</result> | 162 | calc |
ape210k__00225453 | Students in class May 1 play games in groups. There are 4 more people in a group of 5, 3 more in a group of 4, and 2 more in a group of 3. How many students are there at least in this class? | <gadget id="calculator">3 * 4 * 5</gadget>
<output>60</output>
<gadget id="calculator">60 - 1</gadget>
<output>59</output>
<result>59</result> | 59 | calc |
ape210k__00662945 | Naughty's family of three and Xiaoxiao's family of four went to the restaurant to eat, and the two decided to share the meal cost according to the number of people. The mischievous family paid 60 yuan, how much should the Xiaoxiao family pay? | <gadget id="calculator">60 / 3</gadget>
<output>20</output>
<gadget id="calculator">20 * 4</gadget>
<output>80</output>
<result>80</result> | 80 | calc |
ape210k__00751517 | Given a rectangular table with a length of 2 meters and a width of 9 decimeters and a tablecloth, what is the minimum area of the tablecloth in square decimeters? | <gadget id="calculator">2 * 10</gadget>
<output>20</output>
<gadget id="calculator">20 * 9</gadget>
<output>180</output>
<result>180</result> | 180 | calc |
ape210k__00065841 | The diameter of the semicircle is 2 cm, what is the circumference of the semicircle? | <gadget id="calculator">2 / 2</gadget>
<output>1</output>
<gadget id="calculator">3.14 * 1</gadget>
<output>3.14</output>
<gadget id="calculator">3.14 + 2</gadget>
<output>5.14</output>
<result>5.14</result> | 5.14 | calc |
aqua_rat__F0ji96dZzu3QTQNf | A person crosses a 600 m long street in 5 minutes. What is his speed in km per hour? Choose the correct option: A) 3.6 B) 7.2 C) 8.4 D) 10 E) None of these | Speed=(600/5*60)m/sec=2 m/sec=(2*18/5)km/hr=7.2km/hr. Correct Option: 7.2
<result>B</result> | B | calc |
ape210k__00800315 | All the children in the school participated in the "Love and Donation". The first grade donated a total of 524 yuan, and the third grade students donated 45 yuan more than twice that of the first grade. How much did the third grade donate? | <gadget id="calculator">524 * 2</gadget>
<output>1_048</output>
<gadget id="calculator">1_048 + 45</gadget>
<output>1_093</output>
<result>1_093</result> | 1_093 | calc |
ape210k__00649003 | From September 1, 2010 to January 26, 2011, how many days are there in this semester? How many algorithms do you have? Please write it out. | <gadget id="calculator">30 * 2</gadget>
<output>60</output>
<gadget id="calculator">31 * 2</gadget>
<output>62</output>
<gadget id="calculator">60 + 62 + 26</gadget>
<output>148</output>
<result>148</result> | 148 | calc |
ape210k__00936435 | A group photo of 36 students in Class 2, Grade 5, priced at 24.5 yuan, for 4 photos. Another reprint is 2.5 yuan each. Each person in the class wants 1 ticket, how much does it cost in total? | <gadget id="calculator">36 - 4</gadget>
<output>32</output>
<gadget id="calculator">2.5 * 32</gadget>
<output>80</output>
<gadget id="calculator">80 + 24.5</gadget>
<output>104.5</output>
<result>104.5</result> | 104.5 | calc |
math_qa__pSMauC2LHDWwiNEu | A man drives at a speed of 40 miles/hr. His wife left 30 mins. late with 50 miles/hr speed. when will they meet ?
Choose the correct choice.
A) 1 hours B) 2 hours C) 3 hours D) 4 hours E) 5 hours | <gadget id="calculator">30 / 60</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">40 * (1/2)</gadget>
<output>20</output>
<gadget id="calculator">50 - 40</gadget>
<output>10</output>
<gadget id="calculator">20 / 10</gadget>
<output>2</output>
<result>B</result> | B | calc |
aqua_rat__22NUBISV1tZZOHUn | If y ¤ d = y^(2d) for all positive integers, then (3 ¤ 4) ¤ 2 =
Options
A) 3^8 B) 3^12 C) 3^16 D) 3^24 E) 3^32 | y ¤ d = y^(2d) 3 ¤ 4 = 3^(8) (3 ¤ 4) ¤ 2 = (3^8) ¤ 2 = (3^8)^4 = 3^32 Correct Option: 3^32
<result>E</result> | E | calc |
aqua_rat__vsZqGvVRwlyiVaMX | Twenty five percent of Country Y's yearly exports come from fruit exports. One-fifth of all fruit exports from Country Y are orange exports. If country Y generates $10 million from its orange exports, how much money does it generate from its yearly total of exports?
Choose the correct choice from the following choices
... | 25/100*1/5*(total) = 10 1/20*(total) = 10 (total) = 10*20=
<gadget id="calculator">10*20</gadget>
<output>200</output>
200 Answer: $200m
<result>C</result> | C | calc |
ape210k__00326308 | Teacher Wang bought two reference books. "Mathematics Teaching Guide" is 12.56 yuan, and "Mathematics Handbook" is 2.5 yuan cheaper than "Mathematics Teaching Guide". How much does Mr. Wang pay? | <gadget id="calculator">12.56 - 2.5</gadget>
<output>10.06</output>
<gadget id="calculator">10.06 + 12.56</gadget>
<output>22.62</output>
<result>22.62</result> | 22.62 | calc |
ape210k__00604890 | Xiaogang took 20 yuan to the store to buy a 7.5 yuan pencil case, so how much should the salesperson aunt give Xiaogang? | <gadget id="calculator">20 - 7.5</gadget>
<output>12.5</output>
<result>12.5</result> | 12.5 | calc |
aqua_rat__mAhxqcaSErDmU669 | If cost of 15 eggs be 82 rupees, then find out the cost of 5 dozen eggs. Choose the correct choice from the following choices:
A) 300 B) 400 C) 330 D) 600 E) 700 | Cost of 15 eggs = 82 rupees Cost of 1 egg = 82/15 = 5.5 rupees, Cost of 5 dozens, i.e. 5.5 x 12 = 66 x 5 = 330 Answer : 330
<result>C</result> | C | calc |
ape210k__00952425 | A glass bottle is filled with salt water. The mass of the salt is (1/11) of the water. After adding 15g of salt, the weight of the salt accounts for (1/9) of the weight of the salt water. What is the original water in the bottle? | <gadget id="calculator">1 / 9</gadget>
<output>1/9 = around 0.111111</output>
<gadget id="calculator">(1/9) * 15</gadget>
<output>5/3 = around 1.666667</output>
<gadget id="calculator">15 - (5/3)</gadget>
<output>40/3 = around 13.333333</output>
<gadget id="calculator">(1/9) * 11</gadget>
<output>11/9 = around 1.222... | 440 | calc |
aqua_rat__w0afnH0o2tYXJBdF | The length of a rectangulat plot is 20 metres more than its breadth. If the cost of fencing the plot @ Rs. 26.50 per metre is Rs. 5300, what is the length of the plot in metres? Choose the most appropriate option:
A) 40
B) 50
C) 200
D) 120
E) None | Solution Let breadth = x metres Then, length = (x + 20)metres. Perimeter = (5300 / 26.50)=
<gadget id="calculator">(5300 / 26.50)</gadget>
<output>200</output>
200m Answer 200
<result>C</result> | C | calc |
math_qa__9JQYOO1j7m9JPc4z | Having received his weekly allowance, a student spent 2/5 of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $1.20 at the candy store. What is this student’s weekly allowance?
Choose the correct choice from the following.
A) $ 2.00
B) $ 2... | <gadget id="calculator">2 * 5</gadget>
<output>10</output>
<gadget id="calculator">10 * 1.2</gadget>
<output>12</output>
<gadget id="calculator">12 / 4</gadget>
<output>3</output>
<result>E</result> | E | calc |
ape210k__00154814 | The radius of a semicircle is 2 decimeters, what is its circumference in decimeters. | <gadget id="calculator">2 / 2</gadget>
<output>1</output>
<gadget id="calculator">2 * 3.14 * 1</gadget>
<output>6.28</output>
<gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">6.28 + 4</gadget>
<output>10.28</output>
<result>10.28</result> | 10.28 | calc |
gsm8k__vkiNKf2A1PQ5Er0x | A store sold a certain brand of jeans for $40. They only have few pairs of jeans left so they decided to give 10% discount on every two pairs of jeans bought by a customer at any one time. How much will a customer pay for 3 pairs of jeans? | Two pairs of jeans cost $40 x 2 = $
<gadget id="calculator">40*2</gadget>
<output>80</output>
80.
A discount of $80 x 10/100 = $
<gadget id="calculator">80*10/100</gadget>
<output>8</output>
8 will be given for this.
Hence, the cost of two pairs of jeans will now be $80 - $8 = $
<gadget id="calculator">80-8</gadget>
<o... | 112 | calc |
math_qa__xJcVFDaAw2wLkv66 | In what ratio mental A at Rs.68 per kg be mixed with another metal at Rs.96 per kg so that cost of alloy (mixture) is Rs.78 per kg? Select:
A) 5 : 8 B) 4 : 7 C) 3 : 7 D) 9 : 5 E) 9 : 8 | <gadget id="calculator">96 - 78</gadget>
<output>18</output>
<gadget id="calculator">96 - 68</gadget>
<output>28</output>
<gadget id="calculator">18 / 28</gadget>
<output>9/14 = around 0.642857</output>
<gadget id="calculator">1 - (9/14)</gadget>
<output>5/14 = around 0.357143</output>
<gadget id="calculator">(9/14... | D | calc |
ape210k__00840429 | The experimental primary school has 6 grades, each grade has 3 classes, and each class has 42 students on average. How many students are there in this school? | <gadget id="calculator">3 * 6 * 42</gadget>
<output>756</output>
<result>756</result> | 756 | calc |
ape210k__00533595 | There is a natural number. Arrange all its factors in ascending order. The sum of the last two factors is 129. What is this natural number? | <result>86</result> | 86 | calc |
aqua_rat__iwuQrpXjBfNpfAOJ | In an election a candidate who gets 60% of the votes is elected by a majority of 900 votes. What is the total number of votes polled? Choose the correct choice from the following options.
A) A)4500
B) B)5200
C) C)6900
D) D)7520
E) E)6000 | Let the total number of votes polled be x Then, votes polled by other candidate = (100-60)=
<gadget id="calculator">(100-60)</gadget>
<output>40</output>
40% of x 60% of x - 40% of x= 900 20x/100 = 900 x = 900*100/20=
<gadget id="calculator">900*100/20</gadget>
<output>4_500</output>
4500 4500nswer is 4500
... | A | calc |
ape210k__01187039 | A 1-meter-long cylindrical log of uniform thickness is sawn into two pieces, and the surface area increases by 0.12 square meters. What is the original volume of the wood in cubic meters? | <gadget id="calculator">0.12 / 2</gadget>
<output>0.06</output>
<gadget id="calculator">0.06 * 1</gadget>
<output>0.06</output>
<result>0.06</result> | 0.06 | calc |
ape210k__00112473 | A piece of iron wire is 160 meters long. After using this iron wire to make a rectangle with a length of 30 cm and a width of 26 cm, how many centimeters can be made with the remaining wire to make a square? | <gadget id="calculator">30 + 26</gadget>
<output>56</output>
<gadget id="calculator">56 * 2</gadget>
<output>112</output>
<gadget id="calculator">160 - 112</gadget>
<output>48</output>
<gadget id="calculator">48 / 4</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
ape210k__00158671 | It takes 40 days for Team A to complete a project alone. If team B works for 10 days first, and the rest of the project will be completed by the cooperation of teams A and B, it will take another 20 days. How many days will it take if Team B completes the project alone? | <result>60</result> | 60 | calc |
ape210k__00210472 | Groups A, B, and C have a total of 90 books. Group B borrowed 3 books from Group A and gave 5 books to Group C. As a result, the three groups had the same number of books. How many books did A have? | <gadget id="calculator">90 / 3</gadget>
<output>30</output>
<gadget id="calculator">30 + 3</gadget>
<output>33</output>
<result>33</result> | 33 | calc |
ape210k__00311850 | What is the volume of a cylinder obtained by expanding its sides to obtain a square with a base radius of 3 cm? | <gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">3.14 * 9</gadget>
<output>28.26</output>
<gadget id="calculator">2 * 3.14 * 3</gadget>
<output>18.84</output>
<gadget id="calculator">28.26 * 18.84</gadget>
<output>532.4184</output>
<result>532.4184</result> | 532.4184 | calc |
ape210k__00295229 | The choir originally had 325 students. If the number of boys increases by 25 and the number of girls decreases by 5%, the choir will have 341 students. How many boys were there in the chorus? | <gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">9 / (1/20)</gadget>
<output>180</output>
<gadget id="calculator">325 - 180</gadget>
<output>145</output>
<result>145</result> | 145 | calc |
aqua_rat__mXCncmKyf1nELpyO | The area of rhombus is 150 cm square. The length of one of the its diagonals is 10 cm. The length of the other diagonal is: Choose the correct option:
A) 15 cm
B) 20 cm
C) 25 cm
D) 30 cm
E) None of these | Explanation: We know the product of diagonals is 1/2*(product of diagonals) Let one diagonal be d1 and d2 So as per question 1/2∗d1∗d2=150 1/2∗10∗d2=150 d2=150/5=
<gadget id="calculator">150/5</gadget>
<output>30</output>
30 Option 30 cm
<result>D</result> | D | calc |
ape210k__00148641 | How many days are there in the first half of 2003? | <gadget id="calculator">31 * 3</gadget>
<output>93</output>
<gadget id="calculator">30 * 2</gadget>
<output>60</output>
<gadget id="calculator">93 + 60 + 28</gadget>
<output>181</output>
<result>181</result> | 181 | calc |
math_qa__JFfqKS0zCNoupD2I | In what ratio water be mixed with milk costing Rs.12 per liter to obtain a mixture worth of Rs.8 per litre? Select:
A) 2 : 7 B) 1 : 2 C) 2 : 9 D) 2 : 2 E) 2 : 6 | <gadget id="calculator">8 / 12</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">1 - (2/3)</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/3) / (2/3)</gadget>
<output>1/2 = around 0.5</output>
<result>B</result> | B | calc |
mawps__lnyUebwLAeb9bV6Y | Kenneth had 165 peach. Teri grasped some peach. Now Kenneth has 98 peach. How many did Teri graspeds? | <gadget id="calculator">165 - 98</gadget>
<output>67</output>
<result>67</result> | 67 | calc |
aqua_rat__qBlHTMRNcRoa3Jg5 | 2x + y = 18
|y| <= 18
For how many ordered pairs (x , y) that are solutions of the system above are x and y both integers? Pick: A) 11 B) 13 C) 15 D) 17 E) 19 | Hi - The questions says |y| <=18 so the values of y will range from 0 to 18.So the values of y will be 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18. So 19 (E) is the answer. remember sign doesn't matter for y as y will always be positive.19
<result>E</result> | E | calc |
ape210k__00243083 | Xiao Ming reads a 120-page story book, read the whole book (3/5) on the first day, and read the whole book (1/6) on the second day. How many pages did he read in two days? | <gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(3/5) + (1/6)</gadget>
<output>23/30 = around 0.766667</output>
<gadget id="calculator">120 * (23/30)</gadget>
<output>92</output>
<result>92... | 92 | calc |
ape210k__00278728 | Among the 1001 natural numbers 1000, 1001, ..., 2000, how many pairs of adjacent natural numbers can be found that satisfy the requirement that they do not carry when added? | <result>155</result> | 155 | calc |
ape210k__00764313 | A factory makes a batch of garments and completes the plan (5/8) in the first half of the month. If the quantity completed in the second half of the month is the same as that in the first half of the month, it will exceed 650 pieces. How many pieces are planned to be completed? | <gadget id="calculator">5 / 8</gadget>
<output>5/8 = around 0.625</output>
<gadget id="calculator">(5/8) * 2</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">(5/4) - 1</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">650 / (1/4)</gadget>
<output>2_600</output>
<result>2_600</re... | 2_600 | calc |
ape210k__00255599 | Two engineering teams, A and B, repair a tree-lined road from A to B, starting from both ends of the tree-lined road. When A's engineering team repaired 1/8 of the total length, B's engineering team repaired 36 meters. According to the same renovation speed, engineering team B has repaired (3/10) of the total length. A... | <gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) - (1/8)</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">3 / 10</gadget>
<output>3/10 = around 0.3</output>
<gadget id... | 360 | calc |
ape210k__00876183 | The ratio of color TV sets to digital TV sets produced by a TV factory in May is 5:4. There are 2,500 color TV sets in production now. How many digital TV sets are produced? (Solve with ratio) | <gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">2_500 * (4/5)</gadget>
<output>2_000</output>
<result>2_000</result> | 2_000 | calc |
ape210k__00631715 | Longxin School has a total of 1,000 students, of which girls account for 2/5 of the total. How many boys are there? (answer in multiple ways) | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1_000 * (2/5)</gadget>
<output>400</output>
<gadget id="calculator">1_000 - 400</gadget>
<output>600</output>
<result>600</result> | 600 | calc |
ape210k__00568319 | If a cylinder is cut into two equal halves along the diameter of the base, the surface area increases by 40 square centimeters. What is the lateral area of the cylinder in square centimeters? | <gadget id="calculator">40 / 2</gadget>
<output>20</output>
<gadget id="calculator">3.14 * 20</gadget>
<output>62.8</output>
<result>62.8</result> | 62.8 | calc |
aqua_rat__WVf211GnZJx0plER | Ram and Shyam can do together a piece of work in 20 days. After they have worked together for 12 days Matt stops and Peter completes the remaining work in 10 days. In how many days Peter complete the work separately.
Select
A) 29 B) 28 C) 27 D) 26 E) 25 | Together they complete the job in 20 days means they complete 12/20 of the job after 12 days. Peter completes the remaining (8/20) of the job in 10 days which means that the whole job(1) can be completed in X days. <=> 8/20->10 <=> X=10/(8/20)=
<gadget id="calculator">10/(8/20)</gadget>
<output>25</... | E | calc |
ape210k__01151609 | The current price of a color TV is 3600 yuan, which is 20% cheaper than the original price. How much is the original price of this color TV? | <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">3_600 / (4/5)</gadget>
<output>4_500</output>
<result>4_500</result> | 4_500 | calc |
ape210k__00454023 | There are 45 students in our class, among which girls account for (3/5), how many girls are there? | <gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">45 * (3/5)</gadget>
<output>27</output>
<result>27</result> | 27 | calc |
ape210k__01039557 | Make a fish tank with a length of 8 decimeters, a width of 40 centimeters, and a height of 6 decimeters. If you want to put an apron around the fish tank, how long is the apron? | <gadget id="calculator">8 * 40</gadget>
<output>320</output>
<gadget id="calculator">40 * 6</gadget>
<output>240</output>
<gadget id="calculator">320 + 240</gadget>
<output>560</output>
<gadget id="calculator">560 * 2</gadget>
<output>1_120</output>
<result>1_120</result> | 1_120 | calc |
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