id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
aqua_rat__GDJkOGvqZOrQ0cKX | In a class, the average age of 30 boys is 13 years and the average of 20 girls is 12 years. what is the average age of the whole class?
Choose one:
A) 10.6
B) 11.6
C) 12.6
D) 13.6
E) 14.6 | Explanation: Total age of 50 students (30X 13+20 X 12) = 630 Average = 630/50=
<gadget id="calculator">630/50</gadget>
<output>63/5 = around 12.6</output>
12.6 Years Answer 12.6
<result>C</result> | C | calc |
ape210k__00287909 | Guangming Primary School held a calligraphy and painting competition to welcome June 1st. The number of girls participating in the competition was 15 more than that of boys. As a result of the competition, all boys will win prizes, and the number of boys and girls will be equal. It is known that the number of girls who... | <gadget id="calculator">70 / 100</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">1 - (7/10)</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">15 / (3/10)</gadget>
<output>50</output>
<gadget id="calculator">50 - 15</gadget>
<output>35</output>
<result>35</result> | 35 | calc |
ape210k__01125543 | Two cars drive towards each other from two places 1200 kilometers apart at the same time. After 8 hours, the distance between the two cars is 400 kilometers. How many hours later will the two cars meet? | <gadget id="calculator">1_200 - 400</gadget>
<output>800</output>
<gadget id="calculator">800 / 8</gadget>
<output>100</output>
<gadget id="calculator">400 / 100</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
aqua_rat__gMznftJnigMTkCrC | In a division, divident is 690, divisior is 36 and quotient is 19. Find the remainder. Pick one:
A) A)4 B) B)3 C) C)2 D) D)5 E) E)6 | 6xplanation: 690 = 36 x 19 + r 690 = 684 + r r = 690 - 684=
<gadget id="calculator">690 - 684</gadget>
<output>6</output>
6 Answer: Option 6
<result>E</result> | E | calc |
math_qa__K0KwEEcUSLoTT71W | The length of the longest rod that can fit in a cubical room of 4 m side is? Choose the correct choice from the following.
A) 6.978 m B) 6.928 m C) 6.829 m D) 6.248 m E) 6.982 m | <gadget id="calculator">2 ** (1/2)</gadget>
<output>sqrt(2) = around 1.414214</output>
<gadget id="calculator">(sqrt(2)) * 4</gadget>
<output>4*sqrt(2) = around 5.656854</output>
<gadget id="calculator">(4*sqrt(2)) ** 2</gadget>
<output>32</output>
<gadget id="calculator">4 ** 2</gadget>
<output>16</output>
<gadget... | B | calc |
aqua_rat__IDRI1L0yWJEr3htE | A room of 5m 44cm long and 3m 74cm broad is to be paved with squre tiles. Find the least number of squre tiles required to cover the floor. Choose the most appropriate option
A) 233 B) 877 C) 279 D) 176 E) 291 | Explanation: area of the room = 544 * 374 sq cm size of largest square tile = H.C.F of 544cm and 374cm= 34cm area of 1 tile = 34*34 sq cm no. of tiles required = (544*374) / (34 * 34)=
<gadget id="calculator">(544*374) / (34 * 34)</gadget>
<output>176</output>
176 Answer: 176) 176
<result>D</result> | D | calc |
ape210k__00256233 | What is the sum of the interior angles of the 12-gon. | <gadget id="calculator">12 - 2</gadget>
<output>10</output>
<gadget id="calculator">180 * 10</gadget>
<output>1_800</output>
<result>1_800</result> | 1_800 | calc |
ape210k__00494882 | The distance between A and B is 360 kilometers. Two passenger and freight cars leave from A and B at the same time. After 3 hours, the two cars meet. It is known that the speed of the passenger car is 65 kilometers per hour. How many kilometers per hour does the truck travel? ? | <gadget id="calculator">65 * 3</gadget>
<output>195</output>
<gadget id="calculator">360 - 195</gadget>
<output>165</output>
<gadget id="calculator">165 / 3</gadget>
<output>55</output>
<result>55</result> | 55 | calc |
ape210k__00115836 | Cut a section of cylindrical steel into the largest cone, and the weight of the cut part is 32 kg. How much does this cylindrical steel weigh? | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">32 / (2/3)</gadget>
<output>48</output>
<result>48</result> | 48 | calc |
aqua_rat__UoVVHNDr3ZW3XIVy | In a factory, there are 40% technicians and 60% non-technicians. If the 60% of the technicians and 40% of non-technicians are permanent employees, then the percentage of workers who are temporary is?
Choose the correct choice from the following answers.
A) 57% B) 82% C) 52% D) 22% E) 58% | Total = 100 T= 40 NT= 60 40*(60/100)=
<gadget id="calculator">40*(60/100)</gadget>
<output>24</output>
24 60*(40/100)=24 24 + 24=
<gadget id="calculator">24 + 24</gadget>
<output>48</output>
48=> 100 - 48=
<gadget id="calculator">100 - 48</gadget>
<output>52</output>
52% 57%nswer:57%
<result>A</result> | A | calc |
aqua_rat__GknzsqcS5Ofw5wla | As part of a promotion designed to attract visitors, an amusement park gives out 24,600 free tickets per year. Usually, the number of tickets given away each month is constant. Due to an employee error, only 7,000 tickets were given out in the first four months of the year. How many tickets should the amusement park gi... | 24600/12=
<gadget id="calculator">24600/12</gadget>
<output>2_050</output>
2050 2050*5=
<gadget id="calculator">2050*5</gadget>
<output>10_250</output>
10250 10250-7000=
<gadget id="calculator">10250-7000</gadget>
<output>3_250</output>
3250 Answer 3,250
<result>D</result> | D | calc |
ape210k__00257782 | It is known that the solution of the equation 4x-3m=2 about x is x=m, then what is the value of m. | <result>2</result> | 2 | calc |
aqua_rat__gTAgL3OvQBgjXtvh | Cost is expressed by the formula tb^4. If b is doubled, the new cost is what percent of the original cost? Select
A) 200 B) 600 C) 800 D) 1600 E) 50 | Original Cost C1=t1*b1^4 New Cost C2=t2*b2^4....only b is doubled so t2=t1 and b2=2b1 C2=t2*(2b1)^4 =16(t1*b1^4) =16C1 16 times C1=>1600% of C1 Ans 1600=1600
<result>D</result> | D | calc |
ape210k__00840107 | The minute hand of a clock is 10 cm long, how many cm does the minute hand travel from 1 o'clock to 2 o'clock. | <gadget id="calculator">3.14 * 10 * 2</gadget>
<output>62.8</output>
<result>62.8</result> | 62.8 | calc |
aqua_rat__oFFrNXfskrxc90f7 | In how many different number of ways 5 men and 2 women can sit on a shopa which can accommodate persons? Choose the correct option
A) 210 B) 220 C) 230 D) 240 E) 250 | 7p3 = 7 × 6 × 5 = 210 210)
<result>A</result> | A | calc |
ape210k__00968635 | Mom took 1,200 yuan to go shopping, bought a sweater for 468 yuan, bought a pair of pants for 365 yuan, and bought a pair of shoes for 272 yuan. How much money does mom have left? | <gadget id="calculator">468 + 365 + 272</gadget>
<output>1_105</output>
<gadget id="calculator">1_200 - 1_105</gadget>
<output>95</output>
<result>95</result> | 95 | calc |
ape210k__00626347 | Xiaolin has to walk 10 minutes from his home to school, and he has already walked 7. There is still 240 meters away from the school. How far does Xiaolin have to walk from home to school? | <gadget id="calculator">7 / 10</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">1 - (7/10)</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">240 / (3/10)</gadget>
<output>800</output>
<result>800</result> | 800 | calc |
ape210k__00825441 | On a certain day in the six-year class, the number of absentees in the morning is 1/7 of the number of people present, and one more person asks for leave in the afternoon. At this time, the number of absentees is 1/6 of the number of people present. How many people are there in Class 1? | <gadget id="calculator">1 + 6</gadget>
<output>7</output>
<gadget id="calculator">1 / 7</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calculator">1 + 7</gadget>
<output>8</output>
<gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">(1/7) - (1/8)</gadget>
... | 56 | calc |
ape210k__00502014 | The fruit shop shipped 6 truckloads of apples, each with 40 boxes, and each box weighed 25 kilograms. How many kilograms of apples were shipped in total? (answer in two ways) | <gadget id="calculator">6 * 40 * 25</gadget>
<output>6_000</output>
<result>6_000</result> | 6_000 | calc |
aqua_rat__u9XGxoSoGciLHiZn | Using all the letters of the word "NOKIA", how many words can be formed, which begin with N and end with A? Options
A) 7
B) 6
C) 8
D) 9
E) 3 | There are five letters in the given word. Consider 5 blanks .... The first blank and last blank must be filled with N and A all the remaining three blanks can be filled with the remaining 3 letters in 3! ways. The number of words = 3! = 6. Answer:6
<result>B</result> | B | calc |
aqua_rat__UBqfFZNpnaJkrSdw | Chris wants to pay back his debt to the bank. He has already paid back 60% of the initial debt. His family offered to help by paying 33% of the initial debt, so now he only needs an additional $105 in order to pay off the debt. What was the initial amount of the debt Chris owed to the bank?
Choose the correct choice fr... | $1,500nswer Chris already has both 60% and 33% of the debt: =60%+ 33% = 93% The remaining amount that he will need to pay is equal to: 60 + 33=
<gadget id="calculator">60 + 33</gadget>
<output>93</output>
93% The remaining amount that he will need to pay is equal to:=100%-93%=7% We know that this additiona... | A | calc |
aqua_rat__oyj5wsRQbRjX4S2I | An industrial loom weaves 0.128 metres of cloth every second. Approximately, how many seconds will it take for the loom to weave 25 metre of cloth ?
Pick one:
A) 194 seconds
B) 195 seconds
C) 196 seconds
D) 197 seconds
E) None of these | Explanation: Let the time required by x seconds. Then, More cloth means More time (Direct Proportion) So, 0.128:1::25:x=>x=25∗1 /0.128 =>x=195.31 So time will be approx 195 seconds Option 195 seconds
<result>B</result> | B | calc |
aqua_rat__dFOq93MSlJu72vkv | Pipes A and B can fill a tank in 4 and 2 hours. Pipe C can empty it in 8 hours. If all pipes are opened together, then the tank will be filled in?
Choose the correct choice from the following:
A) 3/2hr B) 1/2hr C) 8/5hr D) 9/7hr E) 5/3hr | Net part filled in 1 hour = 1/4 + 1/2 - 1/8 = 5/8 The tank will be full in 8/5 hr Answer is 8/5hr
<result>C</result> | C | calc |
math_qa__7mHPEw0hXvcNRuGG | A man can swim in still water at 6 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is? Choose the correct choice from the following
A) 3 B) 7.5 C) 2.25 D) 2 E) 4 | <gadget id="calculator">6 / 3</gadget>
<output>2</output>
<result>D</result> | D | calc |
ape210k__01213465 | There are 4 classes in the third grade of a certain school. A total of 504 yuan was donated to the disabled, with an average donation of 3 yuan per person. How many students are there on average in each class? | <gadget id="calculator">504 / 3 / 4</gadget>
<output>42</output>
<result>42</result> | 42 | calc |
ape210k__00475059 | The diver Xiaojun can dive 120 meters, and the underwater robot can dive x meters more than Xiaojun. When x=700, how many meters did the underwater robot dive? | <gadget id="calculator">700 + 120</gadget>
<output>820</output>
<result>820</result> | 820 | calc |
gsm8k__z8NAbTYNcDxkjkHr | A spiral notebook costs $15, and a personal planner costs $10. How much would it cost in total to buy 4 spiral notebooks and 8 personal planners at a 20% discount? | If a spiral notebook cost $15, a 20% discount would reduce the price by 20/100 *15 = $
<gadget id="calculator">15*0.2</gadget>
<output>3</output>
3.
At a 20% discount, the buying price of a spiral notebook book is $15-$3= $
<gadget id="calculator">15-3</gadget>
<output>12</output>
12.
At the same discount, a personal p... | 112 | calc |
aqua_rat__GMG8MAoaQ3Um7Ov6 | A certain bag contains 100 balls — 20 white, 30 green, 10 yellow, 37 red, and 3 purple. If a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple? Choose the correct choice from the following answers.
A) 0.9 B) 0.75 C) 0.6 D) 0.8 E) 0.5 | According to the stem the ball can be white, green or yellow, so the probability is (white + green + yellow)/(total) = (20 + 30 + 10)/100 = 60/100 = 0.6. Answer is 0.6
<result>C</result> | C | calc |
aqua_rat__bPec5vm1SfrPxoKW | A batsman makes a score of 82 runs in the 17th inning and thus increases his averages by 3. What is his average after 17th inning?
Answers.
A) 25
B) 31
C) 27
D) 29
E) 34 | Let the average after 17 innings = x Total runs scored in 17 innings = 17x Average after 16 innings = (x-3) Total runs scored in 16 innings = 16(x-3) Total runs scored in 16 innings + 82 = Total runs scored in 17 innings => 16(x-3) + 82 = 17x => 16x - 48 + 82 = 17x => x = 34 Answer is 34.
<resu... | E | calc |
aqua_rat__TH5ATkWM9rVRnEz0 | A runs 25% faster than B and is able to give him a start of 7 meters to end a race in dead heat. What is the length of the race?
Choose the correct choice from the following options: A) 33m B) 34m C) 35m D) 36m E) 37m | A runs 25% as fast as B. That is, if B runs 100m in a given time, then A will run 125m in the same time In other words, if A runs 5m in a given time, then B will run 4m in the same time. Therefore, if the length of a race is 5m, then A can give B a start of 1m so that they finish the race in a dead heat. Start:... | C | calc |
mawps__kgQUmbIKSsUPjKx3 | Beverly had some quince. Susan took 40 from him. Now Beverly has 50 quince. How many quince Beverly had initially? | <gadget id="calculator">50 + 40</gadget>
<output>90</output>
<result>90</result> | 90 | calc |
ape210k__01157993 | Taiping Fruit Shop sold 6 boxes of apples today, each weighing 5 kg, with a total income of 150 yuan. How much is an apple per kilogram? | <gadget id="calculator">5 * 6</gadget>
<output>30</output>
<gadget id="calculator">150 / 30</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
ape210k__01205853 | Mingyue Xinju built a new 5-story single apartment, each floor has 6 units, and the average construction area of each unit is 32 square meters. How many square meters is the total construction area of this single apartment? | <gadget id="calculator">6 * 5 * 32</gadget>
<output>960</output>
<result>960</result> | 960 | calc |
ape210k__00367108 | There are 7 baskets of apples. If 20 kilograms are taken out of each basket, the remaining apples in the 7 baskets are exactly equal to the weight of 5 baskets of apples. How many kilograms of apples are in each basket? | <gadget id="calculator">7 - 5</gadget>
<output>2</output>
<gadget id="calculator">7 / 2</gadget>
<output>7/2 = around 3.5</output>
<gadget id="calculator">20 * (7/2)</gadget>
<output>70</output>
<result>70</result> | 70 | calc |
math_qa__Wb6Jzl8NTvVTUnp8 | How many multiples of 4 are there between 20 and 112, inclusive?
Select the correct option:
A) 21
B) 22
C) 23
D) 24
E) 25 | <gadget id="calculator">112 - 20</gadget>
<output>92</output>
<gadget id="calculator">92 / 4</gadget>
<output>23</output>
<gadget id="calculator">23 + 1</gadget>
<output>24</output>
<result>D</result> | D | calc |
ape210k__00710351 | In □/4=236…□, what is the largest dividend. | <gadget id="calculator">236 * 4</gadget>
<output>944</output>
<gadget id="calculator">4 - 1</gadget>
<output>3</output>
<gadget id="calculator">944 + 3</gadget>
<output>947</output>
<result>947</result> | 947 | calc |
ape210k__00621434 | What is the number that is less (1/3) than 3 meters? | <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 * (2/3)</gadget>
<output>2</output>
<result>2</result> | 2 | calc |
ape210k__00721617 | Divide a number (except 0) by (1/5), what is the number | <gadget id="calculator">5 / 1</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
aqua_rat__QQKrVJyMZiiekAop | In a certain province in America there are 15 cities. If a single road segment connects only two cities, how many road segments are required in order to connect the cities so that each city is connected to all other cities with a single road segment?
Choose the correct choice from the following options:
A) 30 B) 105 C)... | Method-1: America has Total Cities = 15 and each city should be connected with every other city So Total Roads required to connect 1st City with other 14 cities = 14 Now 1st City is connected with all other cities so, So Total Roads required to connect 2nd City with 13 cities (Other than 1st) = 13 Now 1st and... | B | calc |
ape210k__00521480 | Xiao Ming is running along the railway at a speed of 3 meters per second. A 150-meter-long train is coming towards him. Its speed is 12 meters per second. How many seconds does it take for the train to pass by Xiao Ming? | <gadget id="calculator">18 + 3</gadget>
<output>21</output>
<gadget id="calculator">147 / 21</gadget>
<output>7</output>
<result>7</result> | 7 | calc |
ape210k__00534105 | The third-grade students go to work in the tea garden; there are 46 girls and 54 boys; 5 students are divided into groups, how many groups can they be divided into? | <gadget id="calculator">46 + 54</gadget>
<output>100</output>
<gadget id="calculator">100 / 5</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
aqua_rat__hoQ3iunzFfXb3VZ9 | In N is a positive integer less than 200, and 24N/60 is an integer, then N has how many different positive prime factors? Choose the correct choice from the following answers: A) 1 B) 3 C) 5 D) 6 E) 8 | (A). 24n/60 must be an integer. => 2n/5 must be an integer. Hence n must be a multiple of 5. => n has 1 different prime integers.
<result>A</result> | A | calc |
ape210k__00491866 | There were 32 people on the No. 101 bus, 4 people got off at the back door of Xiaonanmen Station, and 18 people got on the front door. How many people are in the car now? | <gadget id="calculator">32 - 4</gadget>
<output>28</output>
<gadget id="calculator">28 + 18</gadget>
<output>46</output>
<result>46</result> | 46 | calc |
ape210k__00183661 | and B go back and forth between AB and AB, which are 2000 meters apart. A starts from A first, and B also starts from A after 9 minutes, and catches up with A at C, which is 1200 meters away from A. When B arrives at B, he immediately keeps the same speed. Return to point A, A goes to point B to rest for 1 minute, then... | <gadget id="calculator">2_000 - 1_200</gadget>
<output>800</output>
<gadget id="calculator">800 / 1_200</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">9 * (2/3)</gadget>
<output>6</output>
<gadget id="calculator">6 + 1</gadget>
<output>7</output>
<gadget id="calculator">1_200 / 800</gadget>... | 21/2 | calc |
ape210k__00298418 | There are 50 students in a class, and 1 student is on sick leave. What is the attendance rate? | <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__01214169 | In a few days, the Second Rongjiang Bridge will be fully open to traffic. On a map with a scale of 1:100,000, the length of the main bridge of the Rongjiang Bridge is measured to be 1.4 cm. What is the actual length of the main bridge of the Rongjiang Bridge in kilometers? | <gadget id="calculator">1.4 / 100_000</gadget>
<output>0.000014</output>
<gadget id="calculator">100_000 * 0.000014</gadget>
<output>1.4</output>
<result>1.4</result> | 1.4 | calc |
ape210k__00324437 | Two cars, A and B, drive opposite each other from two places 360 kilometers apart. A travels 64 kilometers per hour, and the speed of B is 7/8 of that of A. After how many hours do the two cars meet? | <gadget id="calculator">7 / 8</gadget>
<output>7/8 = around 0.875</output>
<gadget id="calculator">64 * (7/8)</gadget>
<output>56</output>
<gadget id="calculator">64 + 56</gadget>
<output>120</output>
<gadget id="calculator">360 / 120</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
ape210k__00306863 | A batch of watermelons has been brought in, and they are going to be sold in two categories. The big ones are 0.4 yuan per kilogram, and the small ones are 0.3 yuan per kilogram. The total value of this batch of watermelons is 290 yuan. If the price of watermelons per kilogram is reduced by 0.05 yuan, this batch of wat... | <gadget id="calculator">290 - 250</gadget>
<output>40</output>
<gadget id="calculator">40 / 0.05</gadget>
<output>800</output>
<gadget id="calculator">0.3 * 800</gadget>
<output>240</output>
<gadget id="calculator">290 - 240</gadget>
<output>50</output>
<gadget id="calculator">0.4 - 0.3</gadget>
<output>0.1</output... | 500 | calc |
ape210k__00277619 | If you move 10,000 bottles, you can get a shipping fee of 30 yuan for every 100 bottles. If one is damaged, you will not be paid the shipping fee, but you will also be compensated 50 cents. Someone gets a total shipping fee of 2,600 yuan. How many bottles did he damage? | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">30 * (1/10)</gadget>
<output>3</output>
<gadget id="calculator">10_000 * 3</gadget>
<output>30_000</output>
<gadget id="calculator">30_000 - 26_000</gadget>
<output>4_000</output>
<gadget id="calculator">3 + 5</gadg... | 500 | calc |
ape210k__00418865 | Dissolve 25 grams of salt in 100 grams of water, what is the weight of the salt in the salt water? | <gadget id="calculator">25 + 100</gadget>
<output>125</output>
<gadget id="calculator">25 / 125</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(1/5) * 1</gadget>
<output>1/5 = around 0.2</output>
<result>1/5 = around 0.2</result> | 1/5 | calc |
ape210k__00180638 | What is the simplest fraction of (12/18). | <gadget id="calculator">12 / 18</gadget>
<output>2/3 = around 0.666667</output>
<result>2/3 = around 0.666667</result> | 2/3 | calc |
ape210k__00182150 | Class 1 of the third grade selected 19 students to test their weight. Their average weight is 45 kg. What is their total weight in kg? | <gadget id="calculator">45 * 19</gadget>
<output>855</output>
<result>855</result> | 855 | calc |
ape210k__00188764 | The captain found that the boat was leaking, some water had already entered, and the water was still entering the boat at a constant speed, so he needed to arrange personnel to drain water immediately. If 8 people drain the water, it takes 5 hours to finish it; if 12 people drain it, it takes 3 hours to finish it. Now ... | <gadget id="calculator">8 * 5</gadget>
<output>40</output>
<gadget id="calculator">12 * 3</gadget>
<output>36</output>
<gadget id="calculator">40 - 36</gadget>
<output>4</output>
<gadget id="calculator">5 - 3</gadget>
<output>2</output>
<gadget id="calculator">4 / 2</gadget>
<output>2</output>
<gadget id="calculat... | 17 | calc |
ape210k__00393979 | The upper base of a trapezoid is 8 cm, the lower base is 14 cm, and the height is the same as the upper base. What is its area in square centimeters? | <gadget id="calculator">8 + 14</gadget>
<output>22</output>
<gadget id="calculator">8 / 2</gadget>
<output>4</output>
<gadget id="calculator">22 * 4</gadget>
<output>88</output>
<result>88</result> | 88 | calc |
ape210k__00376217 | (8/9) of the sixth grade students of Chaoyang Primary School participated in the interest activity group, among which there were 120 boys, accounting for (3/5) of the number of students participating in the interest activity group. How many students are there in the sixth grade? | <gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">8 / 9</gadget>
<output>8/9 = around 0.888889</output>
<gadget id="calculator">120 / (3/5) / (8/9)</gadget>
<output>225</output>
<result>225</result> | 225 | calc |
aqua_rat__KYT6686ovdaVFtVK | The banker's gain on a sum due 6 years hence at 12% per annum is Rs. 756. What is the banker's discount? Pick one
A) 1240
B) 1120
C) 1190
D) 1806
E) None of these | Explanation : TD = (BG ×100)/TR = (756×100)/(6×12) = Rs. 1050 BG = B1806 – T1806 => 756 = B1806 - 1050 => B1806 = 1050+ 756=
<gadget id="calculator">1050+ 756</gadget>
<output>1_806</output>
1806 Answer : Option 1806
<result>D</result> | D | calc |
ape210k__00062110 | There are 4 pairs participating in a single round robin football match, how many games will be played in total? | <gadget id="calculator">3 / 2</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">4 * (3/2)</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__00603500 | Sunflowers are planted in a parallelogram field with a base length of 90m and a height of 60m. If each sunflower occupies an average area of 0.25m**2, how many sunflowers can be planted in this field? | <gadget id="calculator">60 / 0.25</gadget>
<output>240</output>
<gadget id="calculator">90 * 240</gadget>
<output>21_600</output>
<result>21_600</result> | 21_600 | calc |
aqua_rat__i6EQNMn6Qzug6gTg | Salesperson A's compensation for any week is $240 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation? Choose the corr... | 240+0.06(x-1000) = 0.08x 0.02x = 180 x = $9,000 The answer is $9000.
<result>B</result> | B | calc |
ape210k__00858495 | A car has traveled 30% of the journey from City A to City B, and it is still 20 kilometers away from the midpoint. How many miles is the distance between A and B? | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">(1/2) - (3/10)</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">20 / (1/5)</gadget>
<output>100</output>
<result>100</result... | 100 | calc |
aqua_rat__NUcyA1f4wmmOJFdI | At 3.40, the hour hand and the minute hand of a clock form an angle of Choose the correct choice: A) 120° B) 125° C) 130° D) 135° E) None | Solution Angle traced by hour hand in 17/2 hrs = (360/12x17/2 )° = 255. Angle traced by min hand in 30 min = (360/60x30)° = 180. Required angle = (255 - 180)=
<gadget id="calculator">(255 - 180)</gadget>
<output>75</output>
75° Answer 125°
<result>B</result> | B | calc |
ape210k__00410667 | A conical coal pile has a base radius of 1.5m and a height of 1.1m. What is the volume of this pile of coal. | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1.5 ** 2</gadget>
<output>2.25</output>
<gadget id="calculator">(1/3) * 3.14 * 2.25 * 1.1</gadget>
<output>2.5905</output>
<result>2.5905</result> | 2.5905 | calc |
ape210k__00094009 | The survival rate of 250 trees planted in a community is 96%. How many trees did not survive this time? | <gadget id="calculator">96 / 100</gadget>
<output>24/25 = around 0.96</output>
<gadget id="calculator">1 - (24/25)</gadget>
<output>1/25 = around 0.04</output>
<gadget id="calculator">250 * (1/25)</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__00216472 | In 5:3, the ratio is expanded by 2 times, the latter item remains unchanged, and the former item should be increased by how much. | <gadget id="calculator">10 - 5</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
ape210k__00186282 | In (1/6), (3/39), (15/75), (4/17) and (15/81), how many simple fractions are there? | <result>2</result> | 2 | calc |
ape210k__00256358 | Master Zhang made a batch of parts. On the first day, he made 20 parts. After that, he made 2 more parts every day than the previous day. On the 30th day, he made 78 parts, which was just finished. How many parts are there in this batch? | <result>1_470</result> | 1_470 | calc |
math_qa__QzhSuPIAJelIjzOU | The number of diagonals of a polygon of n sides is given by the formula f=n(n-3)/2. If a polygon has twice as many diagonals as sides, how many sides does it have? Choose the correct answer:
A) 3
B) 5
C) 6
D) 7
E) 8 | <gadget id="calculator">3 + 2</gadget>
<output>5</output>
<result>B</result> | B | calc |
aqua_rat__6PrZwoLZcEumyZ8G | The speed of a train is 120 kmph. What is the distance covered by it in 40 minutes? Options.
A) 50 kmph B) 60 kmph C) 70 kmph D) 80 kmph E) 85 kmph | 120 * 40/60=
<gadget id="calculator">120 * 40/60</gadget>
<output>80</output>
80 kmph Answer: 80 kmph
<result>D</result> | D | calc |
aqua_rat__YchuMKC1KlvOmzOT | The retirement plan for a company allows employees to invest in 10 different mutual funds. Six of the 10 funds grew by at least 10% over the last year. If Sam randomly selected 4 of the 10 funds, what is the probability R that 3 of Sam’s 4 funds grew by at least 10% over last year? Choose the correct choice from the fo... | Look at the answers. B is the only answer choice that uses only combination formulas and takes into account all the factors. We know this is a combination, not a permutation. This rules out choices C, DE. A clearly isn't the answer because R=6C3 only accounts for 3 of the funds he chose. 10C4, the denominator, is c... | B | calc |
aqua_rat__9Q7WhkEroMUXZF5V | Henrikh lives x blocks from his office. It takes him 1 minute per block to walk to
work and 20 seconds per block to ride his bicycle to work. If it takes him exactly
10 minutes more to walk to work than to ride his bicycle, then x equals Options:
A) 4
B) 7
C) 10
D) 15
E) 20 | The best way would be... Per km, he takes 40 secs extra if he walks So he will take 10 mins or 10*60 secs in 10*60/40=
<gadget id="calculator">10*60/40</gadget>
<output>15</output>
15 km ANSWER:15
<result>D</result> | D | calc |
aqua_rat__f3RPQHFk6KDv2Kvj | The present population of a town is 1240. Population increase rate is 4% p.a. Find the population of town after 1 years? Choose the correct choice from the following answers
A) 990 B) 1215 C) 1345 D) 1142 E) 1290 | P = 1240 R = 4% Required population of town = P*(1 + R/100)^T = 1240*(1 + 4/100) = 1240*(26/25) = 1290(approximately) Answer is 1290
<result>E</result> | E | calc |
ape210k__00407105 | A stationery store buys a ballpoint pen and a fountain pen, each ballpoint pen is 1.5 yuan, each pen is 3 yuan more than each ballpoint pen, Xiaohong gives the salesperson 10 yuan, how much should I get back? | <gadget id="calculator">3 + 1.5 + 3</gadget>
<output>7.5</output>
<gadget id="calculator">10 - 7.5</gadget>
<output>2.5</output>
<result>2.5</result> | 2.5 | calc |
ape210k__00220724 | A worker processes a batch of products, and he gets paid 0.75 yuan for each genuine product he processes. A fine of 1.50 yuan will be imposed for each defective product processed. On this day, the genuine products he processed were 7 times the defective ones, and he earned 11.25 yuan. So how many defective products did... | <gadget id="calculator">0.75 * 7</gadget>
<output>5.25</output>
<gadget id="calculator">5.25 - 1.5</gadget>
<output>3.75</output>
<gadget id="calculator">11.25 / 3.75</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
aqua_rat__JmQcq1HIq45NtXeI | In the new budget the price of Petrol rose by 20%. By how much percent must a person reduce his consumption so that his expenditure on it does not increase? Choose the correct option.
A) 16.67% B) 25% C) 20.45% D) 31.56% E) 40% | Reduce in consumption = R/(100+R) *100% = 20/120 *100 = 16.67% 16.67%nswer is 16.67%
<result>A</result> | A | calc |
ape210k__01168277 | Subtract 375 from a number to get 428. What is the number? | <gadget id="calculator">428 + 375</gadget>
<output>803</output>
<result>803</result> | 803 | calc |
ape210k__00654365 | A cuboid is surrounded by 240 meters of iron wire, and the ratio of length, width and height is 5:4:3. What is the volume of this cuboid? (not considering the loss part) | <gadget id="calculator">240 / 4</gadget>
<output>60</output>
<gadget id="calculator">3 + 4 + 5</gadget>
<output>12</output>
<gadget id="calculator">3 / 12</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">60 * (1/4)</gadget>
<output>15</output>
<gadget id="calculator">4 / 12</gadget>
<output>1/3 =... | 7_500 | calc |
ape210k__00797069 | The distance from Xiao Ming's home to school is 1000 meters. One day Xiao Ming went to school, walked halfway, and found that he forgot to bring his notebook, so he went back to get his notebook. After taking the notebook, Xiao Ming rushed to school. Question: How many meters did Xiao Ming walk in total? | <gadget id="calculator">1_000 / 2</gadget>
<output>500</output>
<gadget id="calculator">500 * 2</gadget>
<output>1_000</output>
<gadget id="calculator">1_000 + 1_000</gadget>
<output>2_000</output>
<result>2_000</result> | 2_000 | calc |
aqua_rat__o7Fp0tLCtuhKYEwv | A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days A do the work if he is assisted by B and C on every third day? Answers
A) 11 days
B) 15 days
C) 17 days
D) 18 days
E) 19 days | A's 2 day's work = (1/20 * 2) = 1/10 (A + B + C)'s 1 day work = (1/20 + 1/30 + 1/60) = 1/10 Work done in 3 days = (1/10 + 1/10) = 1/5 Now, 1/5 work is done in 3 days. Whole work will be done in (3 * 5)=
<gadget id="calculator">(3 * 5)</gadget>
<output>15</output>
15 days. Answer: 15 days
<result>B</result> | B | calc |
ape210k__00499916 | A rope with a length of 3.6 meters, (1/3) is used for the first time, and the remaining (1/4) is used for the second time, how many meters are left? | <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">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 - (1/4)</gadget>
<output>3/4 = around 0.75</output>
<gad... | 1.8 | calc |
ape210k__00035039 | The train from Dalian to Shenyang used to arrive at 5 o'clock, but now it only takes 4 o'clock. How much has the speed of the train increased. | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/4) - (1/5)</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">(1/20) / (1/5)</gadget>
<output>1/4 = around 0.25</output>
<re... | 1/4 | calc |
aqua_rat__ASwiPfH5PmevTp2n | The purchase price of an article is $48. In order to include 20% of cost for overhead and to provide $12 of net profit, the markup should be
Choose the correct choice:
A) 15%
B) 25%
C) 35%
D) 40%
E) 45% | Cost price of article = 48$ % of overhead cost = 20 Net profit = 12 $ We need to calculate % markup Net profit as % of cost price = (12/48)*100=
<gadget id="calculator">(12/48)*100</gadget>
<output>25</output>
25% Total markup should be= 25 + 20=
<gadget id="calculator">25 + 20</gadget>
<output>45</output>
... | E | calc |
ape210k__00128645 | To build a road, the whole road was built on the first day (2/15), and the whole road was repaired on the second day (1/12), what fraction of the whole road is left unrepaired? | <gadget id="calculator">37 / 60</gadget>
<output>37/60 = around 0.616667</output>
<result>37/60 = around 0.616667</result> | 37/60 | calc |
ape210k__00962403 | The current price of a TV set is 2,400 yuan, which is 600 yuan lower than the original price. How much is the reduction? | <gadget id="calculator">2_400 + 600</gadget>
<output>3_000</output>
<gadget id="calculator">600 / 3_000</gadget>
<output>1/5 = around 0.2</output>
<result>1/5 = around 0.2</result> | 1/5 | calc |
ape210k__00500578 | A story book, Xiaohong read the whole book (3/8) on the first day, read the whole book (1/4) on the second day, just finished this book on the third day, and read this book on the third day What fraction of the book? | <gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 - (3/8) - (1/4)</gadget>
<output>3/8 = around 0.375</output>
<result>3/8 = around 0.375</result> | 3/8 | calc |
ape210k__00959957 | Bus No. 1 and No. 2 depart from the starting station at 7 am at the same time. Bus No. 1 departs every 12 minutes, and Bus No. 2 departs every 15 minutes. When is the second simultaneous departure of bus No. 1 and No. 2? | <result>8</result> | 8 | calc |
ape210k__00982351 | The decorative board at the entrance of a store is isosceles trapezoidal, its upper base is 6 meters, the lower base is 12 meters, and the height is 2 meters. To paint this decorative board, 1 kg of paint is used per square meter. How many kilograms of paint is needed in total? | <gadget id="calculator">6 + 12</gadget>
<output>18</output>
<gadget id="calculator">2 / 2</gadget>
<output>1</output>
<gadget id="calculator">18 * 1 * 1</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
ape210k__00381583 | A number is reduced to the original (1/10), and then expanded to 100 times the original is 3.21, what is this number | <gadget id="calculator">3.21 / 100</gadget>
<output>0.0321</output>
<gadget id="calculator">0.0321 * 10</gadget>
<output>0.321</output>
<result>0.321</result> | 0.321 | calc |
ape210k__00688693 | There are 100 students in the sixth grade and 93 students in the fifth grade. What percentage of the number of students in the fifth grade is that in the sixth grade? | <gadget id="calculator">93 / 100</gadget>
<output>93/100 = around 0.93</output>
<result>93/100 = around 0.93</result> | 93/100 | calc |
ape210k__01173345 | There are 5 red pens, 7 blue pens, and 6 yellow pens in the box. At least how many pens must be found to ensure that at least one is a red pen. | <gadget id="calculator">7 + 6 + 1</gadget>
<output>14</output>
<result>14</result> | 14 | calc |
ape210k__00184578 | Zhang, Wang, and Li have a total of 54 yuan. Zhang used his own money (3/5), Wang used his own money (3/4), and Li used his own money (2/3). If they bought a pen with the same price, how much money did Zhang and Li have left? | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">(3/4) / (3/5)</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget i... | 14 | calc |
ape210k__00127146 | Aunt Wang bought 130 umbrellas. The purchase price of each umbrella is 15 yuan, and the selling price is 20 yuan. After selling 80 umbrellas, the remaining umbrellas will be sold at a discount (1/10) from the original price. How much money did Auntie make in total after these umbrellas were sold out? | <gadget id="calculator">20 * 80</gadget>
<output>1_600</output>
<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">130 - 80</gadget>
<output>50</output>
<gadget id="calculator">20 * (9/10) ... | 550 | calc |
ape210k__00594378 | Cars A and B start from A and B at the same time and drive towards each other. A travels 100 meters per minute, and B travels 60 meters per minute. After starting for a while, the two meet at C. They stop at a certain place on the way for 8 minutes, and the two will meet at D, and the distance between the midpoint and ... | <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">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">100 / 60</gadget>
<output>5/3 = around 1.666667</output>
<gadget id="calculator">1 /... | 1_200 | calc |
ape210k__00001188 | A, B, and C share 414 yuan. A gets 5 yuan for every share, B gets 4 yuan, B gets 5 yuan for every share, and C gets 6 yuan. When all the parts are finished, how much is B's share? | <gadget id="calculator">25 + 20 + 24</gadget>
<output>69</output>
<gadget id="calculator">20 / 69</gadget>
<output>20/69 = around 0.289855</output>
<gadget id="calculator">414 * (20/69)</gadget>
<output>120</output>
<result>120</result> | 120 | calc |
ape210k__00420729 | The hour hand of the big clock on the clock tower is 1 meter long. How many meters does the tip of the hour hand move in a day and night? | <gadget id="calculator">3.14 * 1</gadget>
<output>3.14</output>
<gadget id="calculator">3.14 * 2</gadget>
<output>6.28</output>
<result>6.28</result> | 6.28 | calc |
aqua_rat__SE1VAmdVuDlEEcAS | An unbiased die is tossed. Find the probability of getting a multiple of 4 Choose the correct choice
A) A)1/3 B) B)2/5 C) C)1/4 D) D)1/6 E) E)3/7 | Here S = {1,2,3,4,5,6} E = event of getting a multiple of 4 E = {4} P(E) = 1/6 Answer is 1/6
<result>D</result> | D | calc |
ape210k__00450040 | A cuboid biscuit box with a length of 10cm, a width of 6cm, and a height of 12cm is surrounded by a circle of trademarks (the top and bottom are not pasted), how many square centimeters of paper is needed? | <gadget id="calculator">10 * 12</gadget>
<output>120</output>
<gadget id="calculator">6 * 12</gadget>
<output>72</output>
<gadget id="calculator">120 + 72</gadget>
<output>192</output>
<gadget id="calculator">192 * 2</gadget>
<output>384</output>
<result>384</result> | 384 | calc |
ape210k__00246202 | It is known that 2A+3=15, so how much is 4A+6=. | <gadget id="calculator">4 * 6</gadget>
<output>24</output>
<gadget id="calculator">24 + 6</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
aqua_rat__GooR2IoSd168pRP8 | The ratio between the present ages of P and Q is 6:7. If Q is 4 years old than P, what will be the ratio of the ages of P and Q after 4 years Choose the correct choice from the following answers:
A) of these B) B)3:5 C) C)4:3 D) inadequate E) A)3:4 | Let P's age and Q's age be 6x and 7x years respectively. Then, 7x - 6x = 4 => x = 4 Required ratio = (6x + 4) : (7x + 4) 28 : 32 = 7:8 of theseNSWER:of these
<result>A</result> | A | calc |
ape210k__01164641 | The garment factory produces an average of 720 garments per month, so how many garments were produced in the first half of the year? | <gadget id="calculator">720 * 6</gadget>
<output>4_320</output>
<result>4_320</result> | 4_320 | calc |
ape210k__00618800 | The distance between A and B is 380 kilometers. A passenger car and a truck leave from A and B at the same time. The original plan is that the passenger car travels 36 kilometers per hour, and the truck travels 40 kilometers per hour. But the passenger car changed its speed and drove out at the same speed as the truck.... | <gadget id="calculator">36 + 40</gadget>
<output>76</output>
<gadget id="calculator">380 / 76</gadget>
<output>5</output>
<gadget id="calculator">40 * 2</gadget>
<output>80</output>
<gadget id="calculator">380 / 80</gadget>
<output>19/4 = around 4.75</output>
<gadget id="calculator">5 - (19/4)</gadget>
<output>1/4 ... | 10 | calc |
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