id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00548120 | In a classroom with a length of 5.6 meters and a width of 4 meters, the area of each floor tile is 0.08 square meters, and the price of each floor tile is 4.5 yuan. How much does it cost to decorate this classroom? | <gadget id="calculator">4 / 0.08</gadget>
<output>50</output>
<gadget id="calculator">5.6 * 50 * 4.5</gadget>
<output>1_260</output>
<result>1_260</result> | 1_260 | calc |
ape210k__00365404 | The perimeter of a rectangle is 50 cm, and the ratio of length to width is 3:2, what is its area? | <gadget id="calculator">50 / 2</gadget>
<output>25</output>
<gadget id="calculator">3 + 2</gadget>
<output>5</output>
<gadget id="calculator">25 / 5</gadget>
<output>5</output>
<gadget id="calculator">5 * 3</gadget>
<output>15</output>
<gadget id="calculator">5 * 2</gadget>
<output>10</output>
<gadget id="calculat... | 150 | calc |
ape210k__00262784 | Between 400 and 800, how many different even numbers are there. | <gadget id="calculator">5 * 32</gadget>
<output>160</output>
<result>160</result> | 160 | calc |
ape210k__01102427 | Master Wang processes a batch of parts at a rate of 120 per hour. When 60 more (4/5) of all tasks are processed, the work efficiency is reduced to only 75% of the original. It took 20 minutes more than the planned time to process all the parts in this way. How many parts are there in this batch? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">4 / 3</gadget>
<output>4/3 = around 1.333333</output>
<gadget id="calculator">(4/3) - 1</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/3) / (1/3)</gadget>
<output>1</output>
<gadget id="... | 900 | calc |
ape210k__00097490 | Wang Fei deposited the accumulated pocket money of 800 yuan in the bank on the New Year's Day of 2006, and deposited it in full for one year. After the preparation expires, donate the interest to "Hope Project" to support out-of-school children in poverty-stricken areas. If the annual interest rate is calculated at 3.5... | <gadget id="calculator">3.5 / 100</gadget>
<output>0.035</output>
<gadget id="calculator">800 * 0.035 * 1</gadget>
<output>28</output>
<result>28</result> | 28 | calc |
ape210k__00283136 | Xiao Ming leaves school at five o'clock every day, and his father rides a bicycle to pick him up at the school gate. One day Xiao Ming leaves school at four o'clock, and he walks home at a speed of 3,000 meters per hour. On the way, he meets his father. They go home 20 minutes earlier than usual. May I ask? What is Dad... | <gadget id="calculator">5 - 4</gadget>
<output>1</output>
<gadget id="calculator">2 / 20</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">3_000 * 1 * (1/10)</gadget>
<output>300</output>
<result>300</result> | 300 | calc |
ape210k__00527356 | If a square with a side length of 2 cm is enlarged by 3:1, what is the area in square centimeters? | <gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">6 * 6</gadget>
<output>36</output>
<result>36</result> | 36 | calc |
ape210k__00155255 | The diameter of a semicircle is 20 cm, what is its circumference in cm | <gadget id="calculator">20 / 2</gadget>
<output>10</output>
<gadget id="calculator">3.14 * 10</gadget>
<output>31.4</output>
<gadget id="calculator">31.4 + 20</gadget>
<output>51.4</output>
<result>51.4</result> | 51.4 | calc |
ape210k__00314632 | The speed of the fast train is 140% of that of the slow train. The two trains are traveling towards each other from places A and B at the same time, and meet at a distance of 24 kilometers from the midpoint of the two points. How many kilometers are there between A and B? | <gadget id="calculator">7 + 5</gadget>
<output>12</output>
<gadget id="calculator">7 / 12</gadget>
<output>7/12 = around 0.583333</output>
<gadget id="calculator">5 / 12</gadget>
<output>5/12 = around 0.416667</output>
<gadget id="calculator">(7/12) - (5/12)</gadget>
<output>1/6 = around 0.166667</output>
<gadget i... | 288 | calc |
ape210k__00543768 | The engineering team repaired a road, and repaired 1800 meters in 3 days. According to this working efficiency, if another 2,400 meters are repaired, the road will be completely repaired. How many days will it take to complete the road? ? (answer with ratio) | <gadget id="calculator">1_800 + 2_400</gadget>
<output>4_200</output>
<gadget id="calculator">1_800 / 3</gadget>
<output>600</output>
<gadget id="calculator">4_200 / 600</gadget>
<output>7</output>
<result>7</result> | 7 | calc |
ape210k__00110752 | In an exam, the average score of the whole class is 95.5 points. It is known that there are 24 boys, whose average score is 94.8 points, and the average score of girls is 96.3 points. Find out how many girls there are. | <gadget id="calculator">95.5 * 24</gadget>
<output>2_292</output>
<gadget id="calculator">94.8 * 24</gadget>
<output>2_275.2</output>
<gadget id="calculator">2_292 - 2_275.2</gadget>
<output>16.8</output>
<gadget id="calculator">96.3 - 95.5</gadget>
<output>0.8</output>
<gadget id="calculator">16.8 / 0.8</gadget>
<... | 21 | calc |
aqua_rat__4andmLeMzQSmWdiq | P and Q had the same number of candies. P gave Q 18 candies so that now Q has five times as many candies as P has. How many candies does Q have now?
Select
A) 35 B) 40 C) 45 D) 50 E) 55 | Let P and Q be the number of candies they had at the start. P = Q 5(P-18) = Q+18 5(Q-18) = Q+18 4Q = 108 Q = 27 Now person Q has 27+18 candies which is 45 candies. The answer is 45.
<result>C</result> | C | calc |
ape210k__00841865 | Dicos sells an average of 350 drinks per day. How many drinks were sold in March this year? | <gadget id="calculator">350 * 31</gadget>
<output>10_850</output>
<result>10_850</result> | 10_850 | calc |
aqua_rat__3wbC5e2nkrtnteL5 | If the average (arithmetic mean) of 5 positive temperatures is y degrees Fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be: Options
A) 6y
B) 4y
C) 5y/3
D) 3y/2
E) 3y/5 | The sum of three greatest should be more than sum of two lowest. The total sum is; 5y A. 6y; 6y is more than 5y. Not possible. B. 4y; 5y-4y=y(Possible) C. 5y/3; 10y/3; 10y/3 > 5y/3. Not possible D. 3y/2; 7y/2; 7y/2 > 3y/2. Not possible E. 3y/5; 22y/5; 22y/5 > 3y/5. Not possible. Ans:4y
<result>B<... | B | calc |
ape210k__00092890 | The mother squirrel picked 20 pine nuts per day on sunny days and 12 on rainy days. She picked 112 pine nuts in total for several days, with an average of 14 per day. How many days did it rain? | <gadget id="calculator">112 / 14</gadget>
<output>8</output>
<gadget id="calculator">20 * 8</gadget>
<output>160</output>
<gadget id="calculator">160 - 112</gadget>
<output>48</output>
<gadget id="calculator">20 - 12</gadget>
<output>8</output>
<gadget id="calculator">48 / 8</gadget>
<output>6</output>
<result>6</... | 6 | calc |
math_qa__JAIwEkg8wRw9bRxx | total of the ages of a , b ahd c at present is 90 years . 10 years ago , the ratio of their ages was 1 : 2 : 3 . what is the age of b at present Pick:
A) 25 B) 30 C) 45 D) 60 E) 65 | <gadget id="calculator">10 + 10</gadget>
<output>20</output>
<gadget id="calculator">20 + 10</gadget>
<output>30</output>
<gadget id="calculator">90 - 30</gadget>
<output>60</output>
<gadget id="calculator">3 + 2</gadget>
<output>5</output>
<gadget id="calculator">5 + 1</gadget>
<output>6</output>
<gadget id="calc... | B | calc |
ape210k__01190175 | Solve equation 51-4.5=(51-10x)*3. x = how much. | <gadget id="calculator">51 * 3</gadget>
<output>153</output>
<gadget id="calculator">153 - 51</gadget>
<output>102</output>
<gadget id="calculator">4.5 + 102</gadget>
<output>106.5</output>
<gadget id="calculator">10 * 3</gadget>
<output>30</output>
<gadget id="calculator">106.5 / 30</gadget>
<output>3.55</output>
... | 3.55 | calc |
ape210k__00309459 | There are 90 seats in a row of benches, some of which are already occupied. At this time, another person came to sit on this row of benches. Interestingly, no matter which seat he sat on, he was adjacent to someone who was already seated. It turns out that at least how many people are already seated. | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">90 * (1/3)</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
aqua_rat__2ShSDpVvwMoTizYm | From a pack of 52 cards, 1 card is drawn at random. What is the probability that a red card is drawn? Select:
A) 1/2
B) 1/4
C) 1/26
D) 1/13
E) 5/13 | The total number of cards is 52. The number of red cards is 26. P(red card) = 26/52 = 1/2 The answer is 1/2.
<result>A</result> | A | calc |
aqua_rat__XQeEoJGE6TenI77l | A volunteer organization is recruiting new members. In the fall they manage to increase their number by 6%. By the spring however membership falls by 19%. What is the total change in percentage from fall to spring? Select: A) -16.16% B) -15.15% C) -14.14% D) -13.13% E) -12.12% | (100%+6%)*(100%-19%) = 1.06*.81 = 0.8586. 1-0.8586 = 14.14% lost = -14.14% The Answer is -14.14% The organization has lost 14.14% of its total volunteers from fall to spring.
<result>C</result> | C | calc |
ape210k__00205364 | Xiaoli bought a schoolbag and used half of the money she brought, and borrowed 2 yuan from her classmates, which was just enough to buy a pair of compasses worth 12 yuan. How much did Xiaoli bring with her when she went out? | <gadget id="calculator">12 - 2</gadget>
<output>10</output>
<gadget id="calculator">10 * 2</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
ape210k__00827187 | trapezoid, if the upper base is increased by 4cm, becomes a parallelogram; if the upper base is decreased by 3cm, it becomes a triangle, and the area is reduced by 7.5cm**2. What is the area of this trapezoid in square centimeters? | <gadget id="calculator">3 + 3 + 4</gadget>
<output>10</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">7.5 * (2/3)</gadget>
<output>5</output>
<gadget id="calculator">5 / 2</gadget>
<output>5/2 = around 2.5</output>
<gadget id="calculator">10 * (5/2)</ga... | 25 | calc |
aqua_rat__Vh8T4DuhDXf4iXm1 | How many integers n are there such that 1< 4n + 4 < 16? Choose the correct choice
A) 5 B) 1 C) 2 D) 3 E) 4 | 1< 4n + 4 < 16 1< 4n + 4 < 16 We first subtract 4 from all three parts of the inequality, and we obtain: -3/4 < 4n < 12 Next, we divide both sides of the inequality by 4 and we get: -4/4 < n < 3 The answer is 3
<result>D</result> | D | calc |
ape210k__01005039 | Class A buys a fountain pen for 20 yuan each, and class B buys a ballpoint pen for 16 yuan each. After the two classes purchased the same quantity, they found that the total price difference was 80 yuan after comparison. How many pieces are purchased by Classes A and B? | <gadget id="calculator">20 - 16</gadget>
<output>4</output>
<gadget id="calculator">80 / 4 / 4</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
ape210k__01038145 | Hegang Primary School needs to order 5 sets of homework books for each student this semester. Now there are 1,200 students in the whole school. How many sets of homework books should be ordered in total? | <gadget id="calculator">5 * 1_200</gadget>
<output>6_000</output>
<result>6_000</result> | 6_000 | calc |
ape210k__00382986 | After cutting 180 meters from a rope, what remains is 4 times the cut length. How long was the rope originally? | <gadget id="calculator">4 + 1</gadget>
<output>5</output>
<gadget id="calculator">180 * 5</gadget>
<output>900</output>
<result>900</result> | 900 | calc |
ape210k__00354844 | 50% of a number is equal to 18 times 32, what is this number? | <gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">18 / (1/2)</gadget>
<output>36</output>
<gadget id="calculator">32 * 36</gadget>
<output>1_152</output>
<result>1_152</result> | 1_152 | calc |
aqua_rat__6EzwCkIkssIxMkjF | If n is a positive integer and n^2 is divisible by 72, then the largest positive integer that must divide n is?
. Choose the correct choice: A) 6 B) 12 C) 24 D) 36 E) 48 | 72 x 1 = 72 72 x 2 = 144 14^4=12^2 Largest possible which can divide 12 is 12 Answer = 12
<result>B</result> | B | calc |
ape210k__00844507 | Cut the largest triangle in a rectangle with a length of 12cm and a width of 8cm. What is the area of this triangle in cm**2. | <gadget id="calculator">8 / 2</gadget>
<output>4</output>
<gadget id="calculator">12 * 4</gadget>
<output>48</output>
<result>48</result> | 48 | calc |
aqua_rat__LBm7UnZj7tCytVwF | What is the color code for a 220 omega.gif 5% resistor? Select:
A) Red, Red, Brown, Gold
B) Red, Red, Brown,Pink
C) Red, Red, Brown, Black
D) Red, Red, Brown, BROUNE
E) Red, Red, Brown, ASHE | Resistor colour coding series: Red, Red, Brown,Pinklack 0 Red, Red, Brown,Pinkrown 1 Red 2 Orange 3 Yellow 4 Green 5 Red, Red, Brown,Pinklue 6 Violet 7 Gray 8 White 9 None 20% Silver 10% Gold 5% Therefore Red, Red, Red, Red, Brown,Pinkrown, Gold 2 2 101 5% Answer:Red, Red, Brown,Pink
<re... | B | calc |
ape210k__00066343 | The students of class 6 and 2 are playing a game of touching the ball. Now there are 2 red balls and 3 yellow balls in the box. Which of the following statements is correct is the probability of touching a red ball | <gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<result>2/5 = around 0.4</result> | 2/5 | calc |
ape210k__00293227 | Ship a pile of goods, on the first day (3/11), ship 26 tons on the second day, and there are 22 tons left. How many tons are there in this pile of goods? | <gadget id="calculator">26 + 22</gadget>
<output>48</output>
<gadget id="calculator">3 / 11</gadget>
<output>3/11 = around 0.272727</output>
<gadget id="calculator">1 - (3/11)</gadget>
<output>8/11 = around 0.727273</output>
<gadget id="calculator">48 / (8/11)</gadget>
<output>66</output>
<result>66</result> | 66 | calc |
aqua_rat__nmDaslQWsYtFdnRd | In a company there are 5 partners A,B,C,D,E. They invested money in the ratio of 1:2:3:4:5. If after one year if there is a profit of Rs.15,000. Then share of E will be ? Choose the correct choice from the following.
A) 3000 B) 4000 C) 5000 D) 6000 E) 7000 | 5 partners A,B,5000,D,E are invested money in the ratio of 1:2:3:4:5 Total profit = 15000 share of E = Profit*ratio(E)/(ratio(A)+ratio(B)+ratio(5000)+ratio(D)+ratio(E)) = 15000*5/(1+2+3+4+5)=
<gadget id="calculator">15000*5/(1+2+3+4+5)</gadget>
<output>5_000</output>
5000 ANSWER:5000
<result>C</result> | C | calc |
ape210k__00325886 | The sum of three consecutive natural numbers is 288, what is the largest of these three numbers? | <gadget id="calculator">288 / 3</gadget>
<output>96</output>
<gadget id="calculator">96 + 1</gadget>
<output>97</output>
<result>97</result> | 97 | calc |
ape210k__00307018 | Linlin and Beibei have a shuttlecock kicking competition. Beibei kicks 90 times per minute, and Linlin kicks more (1/5) than Beibei per minute. How many times does Linlin kick more than Beibei? | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">90 * (1/5)</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
aqua_rat__Ss8MQLoS6LfwcSc2 | Five years ago, John’s age was half of the age he will be in 6 years. How old is he now? Select: A) 14years B) 15years C) 16years D) 17years E) 18years | Let John=j,j-5=(j+6)/2,then j=16years ANSWER:16years
<result>C</result> | C | calc |
ape210k__01010917 | A certain city carries out road renovation and builds a new pedestrian street. It has been repaired for 627 meters, which is 143 meters shorter than the unrepaired one. How long is this pedestrian street in meters? | <gadget id="calculator">627 + 143</gadget>
<output>770</output>
<gadget id="calculator">627 + 770</gadget>
<output>1_397</output>
<result>1_397</result> | 1_397 | calc |
math_qa__fePiv0ndA4YcvxQo | A bag contains 7 green balls and 7 white balls. If two balls are drawn simultaneously, what is the probability that both balls are the same colour? Choose the correct choice from the following: A) 4 / 13 B) 6 / 13 C) 8 / 21 D) 11 / 21 E) 17 / 42 | <gadget id="calculator">7 + 7</gadget>
<output>14</output>
<gadget id="calculator">7 / 14</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">7 - 1</gadget>
<output>6</output>
<gadget id="calculator">14 - 1</gadget>
<output>13</output>
<gadget id="calculator">6 / 13</gadget>
<output>6/13 = around 0.4... | B | calc |
ape210k__00397548 | A classroom is 8 meters long, 6 meters wide, and 3 meters high. Now it needs to paint its walls and ceiling with paint. If 24 square meters of doors, windows and blackboards are deducted, how big is the area required to be painted? If 0.15 kg of paint is used per square meter, how many kilograms of paint are needed in ... | <gadget id="calculator">8 * 6</gadget>
<output>48</output>
<gadget id="calculator">8 * 3</gadget>
<output>24</output>
<gadget id="calculator">6 * 3</gadget>
<output>18</output>
<gadget id="calculator">24 + 18</gadget>
<output>42</output>
<gadget id="calculator">42 * 2</gadget>
<output>84</output>
<gadget id="calcu... | 16.2 | calc |
ape210k__00605296 | The sum of the upper and lower bases of a trapezoid is 16dm, the height is 10dm, what is its area dm**2. | <gadget id="calculator">10 / 2</gadget>
<output>5</output>
<gadget id="calculator">16 * 5</gadget>
<output>80</output>
<result>80</result> | 80 | calc |
ape210k__00127947 | In the entrance examination of the High School Attached to Normal University, the ratio of the number of males and females who signed up for the exam is 1:2, the ratio of males and females admitted is 3:8, and the ratio of unadmitted males to females is 5:2, 14 No one was admitted, how many people were admitted in tota... | <gadget id="calculator">5 + 2</gadget>
<output>7</output>
<gadget id="calculator">14 / 7</gadget>
<output>2</output>
<gadget id="calculator">2 * 5</gadget>
<output>10</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) * 2 * 2</gadget>
<output>2</output>
... | 88 | calc |
ape210k__00332793 | 99+198+297+396+495+594+693+792+891+990=how many. | <gadget id="calculator">99 + 198 + 297 + 396 + 495 + 594 + 693 + 792 + 891 + 990</gadget>
<output>5_445</output>
<result>5_445</result> | 5_445 | calc |
ape210k__00392947 | If the base of a triangle is doubled and the height is quadrupled, how many times is the area enlarged? | <gadget id="calculator">2 * 4</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__00557600 | Naughty spent 15.8 yuan to buy bread, and there was 3.4 yuan left. How much money did Naughty have in total? | <gadget id="calculator">15.8 + 3.4</gadget>
<output>19.2</output>
<result>19.2</result> | 19.2 | calc |
aqua_rat__OnuNKyzOoiDerYzn | A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 16 cm. What is the length of the wire? Pick: A) 6 cm B) 4 cm C) 8 cm D) 3 cm E) 9 cm | Volume of the wire (in Cylindrical shape) is equal to the volume of the sphere. π(16)2 * h = (4/3)π (12)3 => h = 9 cm Answer:9 cm
<result>E</result> | E | calc |
ape210k__00556035 | Solve the equation: 3(x+3)=18. | <gadget id="calculator">3 * 3</gadget>
<output>9</output>
<gadget id="calculator">18 - 9</gadget>
<output>9</output>
<gadget id="calculator">9 / 3</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
ape210k__00818403 | Use a 96 cm long iron wire to make exactly a cuboid frame with a length of 12 cm, a width of 8 cm, and a height of how many cm? | <gadget id="calculator">96 / 4</gadget>
<output>24</output>
<gadget id="calculator">24 - 12 - 8</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
ape210k__00183995 | A fraction is reduced by 2, 3, and 5 to obtain (2/3). What was the original score? | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<result>2/3 = around 0.666667</result> | 2/3 | calc |
aqua_rat__x5EbekieprFm3hxu | What is the maximum value of vx - yz. If the value of v,x,y,z have to be chosen from the set A where A(-3,-2,-1,0,1,2,3) Choose the most appropriate option
A) 15 B) 66 C) 25 D) 88 E) 17 | Explanation: To maximize the value of vx - yz, we make yz negative and vx as maximum as possible using given value. vx−yz=(−3)2−(−3×2)vx−yz=(−3)2−(−3×2) = 15 15nswer:15
<result>A</result> | A | calc |
aqua_rat__E4oMPPOoGBRUxDCE | If 20 percent of the members of a certain organization are women and 2/8 of the members of the organization are married men, which of the following statements concerning the membership must be true? I. The number of women in the organization is greater than the number of married men in the organization. II. The number ... | 2/10 (20%) of the members are women and 2/8 of the members are married men. Let the total numbers of members is 80 (the LCM of 10 and 8). Then there are: 2/10*80=
<gadget id="calculator"> 2/10*80</gadget>
<output>16</output>
16 women; 80 - 16=
<gadget id="calculator"> 80 - 16</gadget>
<output>64</output>
64 men... | A | calc |
ape210k__00299328 | On Arbor Day, the teacher asked each class to plant 65 trees, so how many trees will the 9 classes plant in total? | <gadget id="calculator">65 * 9</gadget>
<output>585</output>
<result>585</result> | 585 | calc |
ape210k__00182646 | A square of grass, with a side length of 4 meters, has a tree at each of the two vertices of the diagonal line, and a sheep is tied to each tree, and the rope is 4 meters long. What is the area of grass that two sheep can eat | <gadget id="calculator">4 ** 2</gadget>
<output>16</output>
<gadget id="calculator">16 / 2</gadget>
<output>8</output>
<gadget id="calculator">3.14 * 8</gadget>
<output>25.12</output>
<gadget id="calculator">4 * 4</gadget>
<output>16</output>
<gadget id="calculator">25.12 - 16</gadget>
<output>9.12</output>
<resul... | 9.12 | calc |
math_qa__CHSGytHkQ4jFJ2d4 | 20 men do a work in 20days. How many men are needed to finish the work in 5days?
Pick one:
A) 50
B) 20
C) 80
D) 10
E) 15 | <gadget id="calculator">20 * 20</gadget>
<output>400</output>
<gadget id="calculator">400 / 5</gadget>
<output>80</output>
<result>C</result> | C | calc |
ape210k__00223518 | A cuboid packaging box is 20 cm long, 4 cm wide, and 8 cm high. If this box is used to form a cube, what is the minimum length of the sides of the cube? | <gadget id="calculator">2 * 2 * 5 * 2</gadget>
<output>40</output>
<result>40</result> | 40 | calc |
aqua_rat__O3psxNkYpRlnxA3m | P alone can complete a piece of work in 10 days. Work done by Q alone in one day is equal to one-third of the work done by P alone in one day. In how many days can the work be completed if P and Q work together?
Choose the correct choice.
A) 6 (1/4) days
B) 30/4 days
C) 7 (3/4) days
D) 9/4 days
E) 9 (3/4) days | Work done by P alone in one day = 1/10th of the total work done by Q alone in one day = 1/3(of that done by P in one day) = 1/3(1/10 of the total) = 1/30 of the total. Work done by P and Q, working together in one day = 1/10 + 1/30 = 4/30 of the total They would take 30/4 days to complete the work working together.... | B | calc |
aqua_rat__fR5XCQEIu3ZAdiFC | Two numbers are such that the ratio between them is 3 : 5, but if each is increased by 10, the ratio between them becomes 5:7. The numbers are Choose the correct choice:
A) 3, 5 B) 7, 9 C) 13, 22 D) 15, 25 E) None | No's are in the ratio 3:5 Le the No's be 3x and 5x ATQ. (3x+10) : (5x+10) = 5:7 ? x = 5 No's are (15,25) Answer: 15, 25.
<result>D</result> | D | calc |
ape210k__00234541 | The product of two factors is 3.68. If one factor is multiplied by 10 and the decimal point of the other factor is moved two places to the left, what is the product? | <gadget id="calculator">10 / 1</gadget>
<output>10</output>
<gadget id="calculator">10 * 0.0368</gadget>
<output>0.368</output>
<result>0.368</result> | 0.368 | calc |
aqua_rat__DYCWOCireH1sPe3X | A man rows his boat 90 km downstream and 70 km upstream, taking 3 hours each time. Find the speed of the stream? Choose the correct answer.
A) 76 kmph B) 6 kmph C) 3.5 kmph D) 4.5 kmph E) 4 kmph | Speed downstream = d/t = 90/(3)=
<gadget id="calculator">90/(3)</gadget>
<output>30</output>
30 kmph Speed upstream= d/t = 70/(3) = 23 kmph The speed of the stream = (30 - 23)/2=
<gadget id="calculator">(30 - 23)/2</gadget>
<output>7/2 = around 3.5</output>
3.5 kmph Answer:3.5 kmph
<result>C</result> | C | calc |
aqua_rat__Sur34mm4WvzWD5Gk | Two stations A and B are 110 km apart on a straight line. One train starts from A at 7 a.m. and travels towards B at 20 kmph. Another train starts from B at 8 a.m. and travels towards A at a speed of 25 kmph. At what time will they meet? Choose one:
A) 09
B) 10
C) 05
D) 02
E) 06 | Suppose they meet x hours after 7 a.m. Distance covered by A in x hours = 20x km. Distance covered by B in (x - 1) hours = 25(x - 1) km. Therefore 20x + 25(x - 1) = 110 45x = 135 x = 3. So, they meet at 10 a.m. Answer:10
<result>B</result> | B | calc |
ape210k__00394829 | Dongdong planned to finish reading a book of "Fairy Tales" in three days. He read exactly 15% of the book on the first day, and then read 60 pages on the second day. It is exactly 1:3. According to the plan, how many pages will Dongdong continue to read on the third day? | <gadget id="calculator">3 + 1</gadget>
<output>4</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">15 / 100</gadget>
<output>3/20 = around 0.15</output>
<gadget id="calculator">(3/4) - (3/20)</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">... | 25 | calc |
ape210k__01072463 | A piece of cloth is half used and there are 6 meters more, and there are 28 meters left at this time. How long is this piece of cloth originally? | <gadget id="calculator">28 + 6</gadget>
<output>34</output>
<gadget id="calculator">34 * 2</gadget>
<output>68</output>
<result>68</result> | 68 | calc |
ape210k__00461832 | Zhangzhuang Orchard shipped 16 baskets of apples and 9 baskets of pears. Each basket of apples weighed 25 kilograms, and each basket of pears weighed 18 kilograms. How many kilograms of apples and pears were there in total? | <gadget id="calculator">16 * 25</gadget>
<output>400</output>
<gadget id="calculator">9 * 18</gadget>
<output>162</output>
<gadget id="calculator">400 + 162</gadget>
<output>562</output>
<result>562</result> | 562 | calc |
ape210k__00425025 | The sixth grade students donated money to the children in the disaster area. The first class donated 500 yuan, the second class donated to the first class (4/5), and the third class donated to the first class (9/10). How much did the sixth and third classes donate? ? | <gadget id="calculator">9 / 10</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">500 * (9/10)</gadget>
<output>450</output>
<result>450</result> | 450 | calc |
aqua_rat__kTpk16P0WkcHC7w8 | What is the true discount on a bill of Rs.2916 due in 3 years hence at 8% C.I.? Choose the most appropriate option
A) rs.600 B) rs.601 C) rs.602 D) rs.603 E) None of these | Explanation: PW = Amount/(1+R100)T. Answer: rs.602
<result>C</result> | C | calc |
aqua_rat__5RbEzwCOokUP2Mx5 | A group of four Womens and three Mens have tickets for seven adjacent seats in one row of a theater. If the three mens will not sit in three adjacent seats, how many possible different seating arrangements are there for these 7 theatre-goers?
Answers.
A) 7! – 5!3!
B) 7! – 4!3!
C) 7 × 2!3!2!
D) 7! – 2!3!
E) 2!3!2! | There are 3 boys and 4 girls , we want to calculate the seating arrangements if three mens do not sit together, like MMM. Let's calculate the # of arrangements when they SIT together and subtract from total # of arrangements of these 7 persons without restriction. Thus we'll get the # of arrangements asked in the que... | A | calc |
ape210k__01125389 | A cylindrical bucket without a lid has a base diameter of 6 decimeters and a height of 5 decimeters. How many square decimeters of iron sheet are needed to make such a bucket. | <gadget id="calculator">3.14 * 6 * 5</gadget>
<output>94.2</output>
<gadget id="calculator">6 / 2</gadget>
<output>3</output>
<gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">3.14 * 9</gadget>
<output>28.26</output>
<gadget id="calculator">94.2 + 28.26</gadget>
<output>122.46</outp... | 122.46 | calc |
aqua_rat__XkwtRm9RDylCdHpn | What sum of money will produce Rs.90 as simple interest in 4 years at 3 1/2 percent?
Choose the most appropriate option:
A) 263 B) 500 C) 367 D) 642.9 E) 339 | 90 = (P*4*7/2)/100 P = 642.9 Answer: 642.9
<result>D</result> | D | calc |
ape210k__01129021 | The circumference of the base of a cylinder is 25.12 cm, and the height is 24 cm. If it is cut into the largest cone, how many cubic centimeters will be removed? | <gadget id="calculator">25.12 / 3.14 / 2</gadget>
<output>4</output>
<gadget id="calculator">4 ** 2</gadget>
<output>16</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 - (1/3)</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">3.1... | 803.84 | calc |
ape210k__00597735 | workshop produces a batch of parts. The inspector randomly inspects some parts. After sampling 50 parts, one of them is unqualified. What is the pass rate of this batch of parts? | <gadget id="calculator">50 - 1</gadget>
<output>49</output>
<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</resul... | 49/50 | calc |
ape210k__00556919 | 14.85-1.58*8+31.2/1.2. | <gadget id="calculator">1.58 * 8</gadget>
<output>12.64</output>
<gadget id="calculator">14.85 - 12.64</gadget>
<output>2.21</output>
<gadget id="calculator">31.2 / 1.2</gadget>
<output>26</output>
<gadget id="calculator">2.21 + 26</gadget>
<output>28.21</output>
<result>28.21</result> | 28.21 | calc |
ape210k__00580757 | Xiaohong goes to the stationery store and buys 5 ballpoint pens and 3 pencils, and the shared pen is 2.90 yuan. It is known that each pencil is 0.30 yuan, how much is each ballpoint pen? | <gadget id="calculator">0.3 * 3</gadget>
<output>0.9</output>
<gadget id="calculator">2.9 - 0.9</gadget>
<output>2</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<result>2/5 = around 0.4</result> | 2/5 | calc |
ape210k__00028110 | Distribute tableware in a picnic in a certain class: each person has a rice bowl, two people have a vegetable bowl, and four people have a soup bowl. 49 bowls are shared, how many people participated in the picnic? | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 + (1/2) + (1/4)</gadget>
<output>7/4 = around 1.75</output>
<gadget id="calculator">49 / (7/4)</gadget>
<output>28</output>
<result>28</result> | 28 | calc |
ape210k__00203824 | Two oil tanks, A and B, if 5 kg of oil is drained per minute, tank A will drain the oil in 52 minutes, and tank B will drain the oil in 36 minutes. If oil is filled from tank A to tank B, how many minutes does it take for the two tanks to be equal? | <gadget id="calculator">52 * 5</gadget>
<output>260</output>
<gadget id="calculator">36 * 5</gadget>
<output>180</output>
<gadget id="calculator">260 - 180</gadget>
<output>80</output>
<gadget id="calculator">80 / 2 / 5</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
aqua_rat__ThHCDwvg8qyXmMLg | During a trip on an expressway, Jon drove a total of x miles. His average speed on a certain 5-mile section of the expressway was 30 miles per hour, and his average speed for the remainder of the trip was 60 miles per hour. His travel time for the x-mile trip was what percent greater than it would have been if he had t... | so Jon drove (x-5) miles at 60mph and 5 miles at 30mph: (x-5)/60 + (10/60) = (X+5)/60 - current time to drive the whole distance if the entire trip @60mph than time = x/60 so to get percent [(X+5)/60 ]/[x/60] x100 =(x+5)/x *100 =100+500/x so increase of 500/x%[/u]=500/x%
<result>E</result> | E | calc |
ape210k__00774121 | 20% of the number A is equal to (5/6) of the number B. The number B is 10. What is the number A? | <gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(5/6) / (1/5)</gadget>
<output>25/6 = around 4.166667</output>
<gadget id="calculator">10 * (25/6)</gadget>
<output>125/3 = around 41.66666... | 125/3 | calc |
ape210k__00469294 | Taiwan's ABC brand children's shoes are priced at 128 yuan, and during the store celebration period, they were sold at a special price of 76 yuan. A total of 86 pairs were sold. How much less were sold during the store celebration period? | <gadget id="calculator">128 - 76</gadget>
<output>52</output>
<gadget id="calculator">52 * 86</gadget>
<output>4_472</output>
<result>4_472</result> | 4_472 | calc |
ape210k__00003851 | A batch of parts is distributed to the master and the apprentice according to the ratio of 3:1. The efficiency ratio of the master and the apprentice is 5:3. After 5 hours of cooperation, (2/3) of the batch of parts is completed. At this time, the master There are still 400 parts unprocessed, how many parts are there i... | <gadget id="calculator">1 + 3</gadget>
<output>4</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">5 + 3</gadget>
<output>8</output>
<gadget id="calculator">5 / 8</gadget>
<output>5/8 = around 0.625</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 ... | 1_200 | calc |
aqua_rat__tBHRjJjfWUV7jQa5 | A man can row upstream at 25 kmph and downstream at 35 kmph, and then find the speed of the man in still water?
Choose the correct choice from the following options
A) 32 kmph B) 34 kmph C) 30 kmph D) 45 kmph E) 65 kmph | US = 25 DS = 35 M = (35 + 25)/2=
<gadget id="calculator">(35 + 25)/2</gadget>
<output>30</output>
30 Answer:30 kmph
<result>C</result> | C | calc |
ape210k__01150891 | When Xiaoli calculated a number plus 37, she accidentally stained the paper with ink, and there was only one 7 left in 37, so the result was 13. What is the original correct result. | <gadget id="calculator">13 - 7</gadget>
<output>6</output>
<gadget id="calculator">37 + 6</gadget>
<output>43</output>
<result>43</result> | 43 | calc |
ape210k__00964823 | How many square meters of tin chimney is needed to make a chimney with a length of 5 meters and a diameter of 0.5 meters at the bottom? | <gadget id="calculator">3.14 * 0.5 * 5</gadget>
<output>7.85</output>
<result>7.85</result> | 7.85 | calc |
aqua_rat__u9PVHsREMCDeFeXw | The average amount with a group of seven numbers is Rs. 20. If the newly joined member has Rs. 26 with him, what was the average amount with the group before his joining the group? Pick.
A) s.17
B) s.12
C) s.15
D) s.29
E) s.19 | Total members in the group = 7 Average amount = Rs. 20 Total amount with them = 7 * 20 = Rs. 140 One number has Rs. 26. So, the amount with remaining 6 people = 140 - 26 = Rs. 114 The average amount with them = 114/6 = Rs.19. Answer:s.19
<result>E</result> | E | calc |
aqua_rat__JCm83WQ4ht9K7bwU | A bag holds 2 red marbles and 3 green marbles. If you removed two randomly selected marbles from the bag, without replacement, what is the probability that both would be red? Choose one.
A) 1/10 B) 1/5 C) 3/10 D) 2/5 E) 1/2 | probability of selecting first red marble = 2/5 probability of selecting second red marble without replacement = 1/4 final probability = 2/5 * 1/4 = 1/10 correct answer - 1/10
<result>A</result> | A | calc |
ape210k__00093142 | From one end of the playground, a wooden stake is nailed every 4m, a total of 25 wooden stakes are nailed, and now it is changed to a wooden stake every 6m. How many stakes are there that cannot be pulled out? | <gadget id="calculator">25 - 1</gadget>
<output>24</output>
<gadget id="calculator">4 * 24</gadget>
<output>96</output>
<gadget id="calculator">96 / 12</gadget>
<output>8</output>
<gadget id="calculator">8 + 1</gadget>
<output>9</output>
<result>9</result> | 9 | calc |
ape210k__00450439 | What is the perimeter in cm of a semicircle with a diameter of 10 cm. | <gadget id="calculator">10 / 2</gadget>
<output>5</output>
<gadget id="calculator">3.14 * 5</gadget>
<output>15.7</output>
<gadget id="calculator">15.7 + 10</gadget>
<output>25.7</output>
<result>25.7</result> | 25.7 | calc |
ape210k__01009247 | The original price of a commodity is 1,500 yuan. After the price is reduced (1/10), the price will be increased (1/10). What is the current price? | <gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 - (1/10)</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">1 + (1/10)</gadget>
<output>11/10 = around 1.1</output>
<gadget id="calculator">1_500 * (9/10) * (11/10)</gadget>
<output>1_485</output>
<... | 1_485 | calc |
aqua_rat__dFyyBZ09KV0p2Oep | A car traveled from San Diego to San Francisco at an average speed of 45 miles per hour. If the journey back took twice as long, what was the average speed of the trip?
Options.
A) 30. B) 32. C) 36. D) 42. E) 44. | Let the time taken be = x One way distance = 45x Total distance traveled = 2 * 45=
<gadget id="calculator">2 * 45</gadget>
<output>90</output>
90x Total time taken= x + 2x = 3x 30.verage speed = 90x/3x = 30 30.nswer: 30.90 /3=
<gadget id="calculator">90 /3</gadget>
<output>30</output>
30 30.nswer: 30.
<re... | A | calc |
math_qa__xJ8qjdgHC4ftfiBX | What does the hexa number E78 in radix 7. Choose one.
A) 12455 B) 14153 C) 14256 D) 13541 E) 14541 | <gadget id="calculator">78 * 7</gadget>
<output>546</output>
<gadget id="calculator">10 + 3</gadget>
<output>13</output>
<gadget id="calculator">100 * 10</gadget>
<output>1_000</output>
<gadget id="calculator">13 * 1_000</gadget>
<output>13_000</output>
<gadget id="calculator">546 + 13_000</gadget>
<output>13_546</... | D | calc |
ape210k__00620803 | If the ratio of number A to number B is 5:4, which of the following statements is correct is how much less number B is than A | <gadget id="calculator">5 - 4</gadget>
<output>1</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<result>1/5 = around 0.2</result> | 1/5 | calc |
aqua_rat__drqSjVJItOK0CnXT | There are 3 numbers A, B and C. If A:B = 3/4, B:C = 4/5, C:D = 5/6, then A:D will be? Choose the correct choice from the following.
A) 1 : 2
B) 2 : 3
C) 3 : 5
D) 4 : 7
E) 4 : 9 | Sol. A : B = 3 : 4, B : C = 4 : 5, C : D = 5 : 6 ∴A∶B∶C∶D= 3 : 4 : 5 : 6. Thus, 1 : 2 : D = 3 : 6 or, 1 : 2 1 : 2
<result>A</result> | A | calc |
ape210k__00344039 | A rectangle is surrounded by an iron wire. The length of the rectangle is 8 meters and the width is 6 meters. How long is the iron wire? If a square is surrounded by this wire, what is the side length of the square? | <gadget id="calculator">8 + 6</gadget>
<output>14</output>
<gadget id="calculator">2 / 4</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">14 * (1/2)</gadget>
<output>7</output>
<result>7</result> | 7 | calc |
ape210k__00342606 | In a ratio, the two outer terms are reciprocals of each other, one inner term is 1.25, and the other inner term is 1.25. | <gadget id="calculator">1 / 1.25</gadget>
<output>0.8</output>
<result>0.8</result> | 0.8 | calc |
ape210k__00725875 | If A=3*2*5*7, B=2*5*11, what is the common factor of the two numbers of A and B | <gadget id="calculator">2 * 5</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
mawps__nNy21clUj5ls2rqo | Diane had 102 Biscuit. Michael clasped some Biscuit. Now Diane has 22 Biscuit. How many did Michael claspeds? | <gadget id="calculator">102 - 22</gadget>
<output>80</output>
<result>80</result> | 80 | calc |
ape210k__00589649 | Give Xiaohua (1/7) of Xiaoming's stamps, and the two have the same amount, so the relationship between the number of stamps for the two is that Xiaohua has less than Xiaoming | <gadget id="calculator">1 / 7</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calculator">(1/7) * 2</gadget>
<output>2/7 = around 0.285714</output>
<result>2/7 = around 0.285714</result> | 2/7 | calc |
aqua_rat__Wl1jNkQeOdMsXQKC | Carol and Jordan draw rectangles of equal area. If Carol's rectangle measures 5 inches by 24 inches and Jordan's rectangle is 3 inches long, how wide is Jordan's rectangle, in inches? Choose the correct choice from the following answers: A) 25 B) 43 C) 42 D) 40 E) 18 | Area of Carol's rectangle = 24*5=
<gadget id="calculator">24*5</gadget>
<output>120</output>
120 Let width of Jordan's rectangle= w Since , the areas are equal 3w = 120 =>w = 40 Answer 40
<result>D</result> | D | calc |
ape210k__00014577 | The weight of Xiaojun’s grandfather is 50 kg, Xiaojun is lighter than his grandfather (1/5), and his father is heavier than Xiaojun (5/8). How many kilograms does dad weigh? | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">5 / 8</gadget>
<output>5/8 = around 0.625</output>
<gadget id="calculator">1 + (5/8)</gadget>
<output>13/8 = around 1.625</output>
<gadget id=... | 65 | calc |
ape210k__00415185 | The 1-ton (4/5) weighs the same as the 4-ton ((())/(())). | <gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(4/5) / 4</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 * (1/5)</gadget>
<output>1/5 = around 0.2</output>
<result>1/5 = around 0.2</result> | 1/5 | calc |
ape210k__00502823 | How many consecutive 28s are subtracted from 952, and the result is 0. | <gadget id="calculator">952 / 28</gadget>
<output>34</output>
<result>34</result> | 34 | calc |
ape210k__00941165 | There is a circular flower bed in the community. Xiao Ming measured its circumference to be 25.12 meters. What is the area of this flower bed in square meters? | <gadget id="calculator">25.12 / 3.14 / 2</gadget>
<output>4</output>
<gadget id="calculator">4 ** 2</gadget>
<output>16</output>
<gadget id="calculator">3.14 * 16</gadget>
<output>50.24</output>
<result>50.24</result> | 50.24 | calc |
ape210k__00496041 | On a lawn, two sheep, big and small, are tied to a wooden post with 5-meter and 3-meter-long ropes respectively. What is the difference in the grass area that the two sheep can eat? (the length tied to the wooden post does not count) | <gadget id="calculator">5 ** 2</gadget>
<output>25</output>
<gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">25 - 9</gadget>
<output>16</output>
<gadget id="calculator">3.14 * 16</gadget>
<output>50.24</output>
<result>50.24</result> | 50.24 | calc |
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