id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00453697 | Use a pan to bake pancakes, and you can put two cakes at the same time. If it takes 3 minutes to bake one side, how many minutes will it take to bake 11 cakes? | <gadget id="calculator">8 / 2</gadget>
<output>4</output>
<gadget id="calculator">3 * 2 * 4</gadget>
<output>24</output>
<gadget id="calculator">3 * 3</gadget>
<output>9</output>
<gadget id="calculator">24 + 9</gadget>
<output>33</output>
<result>33</result> | 33 | calc |
ape210k__00209174 | There is a number, when divided by 13, the remainder is 1, when divided by 15, the remainder is 3, when divided by 7, the remainder is 2, what is the smallest number. | <gadget id="calculator">13 * 15 * 7</gadget>
<output>1_365</output>
<gadget id="calculator">1_365 - 14</gadget>
<output>1_351</output>
<result>1_351</result> | 1_351 | calc |
ape210k__00396120 | With the support of relevant national policies, cross-strait exchanges have become more frequent. In May of this year, the passenger flow of the Xiamen-Jinjiang route reached 1 million, and it is expected to increase by 20% in June. How many million people will the passenger flow in June be? | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 + (1/5)</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">100 * (6/5)</gadget>
<output>120</output>
<result>120</result> | 120 | calc |
ape210k__00707719 | Remove the percent sign directly from 6.6%, and the result is how many times it will be enlarged | <gadget id="calculator">6.6 / 100</gadget>
<output>0.066</output>
<gadget id="calculator">6.6 / 0.066</gadget>
<output>100</output>
<result>100</result> | 100 | calc |
ape210k__00375606 | A conical pile of wheat has a base circumference of 18.84 meters and a height of 1.5 meters. Put all the pile of wheat into a grain warehouse, accounting for exactly 5% of the warehouse’s capacity. What is the capacity of this warehouse in cubic meters? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">18.84 / 3.14 / 2</gadget>
<output>3</output>
<gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">(1/3) * 3.14 * 9 * 1.5</gadget>
<output>14.13</output>
<gadget id="calculator">5 / 100... | 282.6 | calc |
ape210k__01179987 | Lingling read a long fairy tale. I read 11 pages on the first day. Read 14 pages the next day. After that, read 3 more pages every day than the previous day. In this way, the first 10 days just finished reading. How many pages does this long fairy tale have? | <gadget id="calculator">11 * 10</gadget>
<output>110</output>
<gadget id="calculator">10 - 1</gadget>
<output>9</output>
<gadget id="calculator">10 * 9 * 3</gadget>
<output>270</output>
<gadget id="calculator">270 / 2</gadget>
<output>135</output>
<gadget id="calculator">110 + 135</gadget>
<output>245</output>
<re... | 245 | calc |
ape210k__00320988 | The crucian carp in the Times Supermarket is 4.52 yuan per kilogram. How much does it cost to buy a 1.2 kg crucian carp. | <gadget id="calculator">4.52 * 1.2</gadget>
<output>5.424</output>
<result>5.424</result> | 5.424 | calc |
aqua_rat__QomgIFDeHXc8iE3c | In the number 11,0AB, A and B represent the tens and units digits, respectively. If 11,0AB is divisible by 45, what is the greatest possible value of B × A? Select:
A) 0
B) 5
C) 10
D) 15
E) 25 | You should notice that 55*2=
<gadget id="calculator">55*2</gadget>
<output>110</output>
110 so 11,000 is divisible by 55: 55*200=11,000 (or you can notice that 11,000 is obviously divisible by both 5 and 11 so by 55) --> B*A=0*0=
<gadget id="calculator">0*0</gadget>
<output>0</output>
0. Next number divisible by 5... | D | calc |
math_qa__gkZ2LxIkBE2ll7m3 | Renu can do a piece of work in 6 days, but with the help of her friend Suma , she can do it in 3 days. In what time Suma can do it alone? Choose the correct choice from the following options: A) 6 B) 12 C) 14 D) 15 E) 17 | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(1/3) - (1/6)</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">1 / (1/6)</gadget>
<output>6</output>
<result>A</r... | A | calc |
aqua_rat__PEcgApUzziEnDCi6 | Each side of a certain parallelogram has length 5. If the area of the parallelogram is 20. Which of the following is the measure of one of its angles? Pick:
A) 30 B) 45 C) 53.13 D) 90 E) 120 | area of a parallelogram = b*h b*h=20 h=20/5=
<gadget id="calculator">20/5</gadget>
<output>4</output>
4 sin theta=opp/hyp= 4/5 theta = sin inv of 4/5=53.13 deg 53.13
<result>C</result> | C | calc |
aqua_rat__tSOREDj4GcaDNmpn | If x and y are integers and x divided by y is 17.15, then which of the following integers is a possible value for the remainder when x is divided by y? I. 15 II. 5 III. 3 Choose the correct choice from the following options: A) II only B) I only C) II,III only D) III only E) I,III only | x=17.15y from which x = 17y + 15y/100 or x = 17y + 3y/20. Since x and y are integers, 3y/20 must also be an integer. 3 is not divisible by 20, then y must be divisible by 20, and therefore, y/20 is an integer and 3y/20 is an integer which is a multiple of 3. From the given answers, only 15 and 3 are divisible by 3. ... | E | calc |
ape210k__00325348 | What is the product of the sum of 5.6 and 3.8 multiplied by their difference? | <gadget id="calculator">5.6 + 3.8</gadget>
<output>9.4</output>
<gadget id="calculator">5.6 - 3.8</gadget>
<output>1.8</output>
<gadget id="calculator">9.4 * 1.8</gadget>
<output>16.92</output>
<result>16.92</result> | 16.92 | calc |
aqua_rat__meYvN1SeW7FM6LVi | Three cottage of the same type were advertised to be let in a area. Three men made separate applications for a cottage. What is the probability that each of them applied for the same cottage. Choose the correct choice from the following answers
A) 1/7 B) 2/9 C) 1/9 D) 4/9 E) 2/27 | Since each of the cottage has same probability of getting selected so for each men probability of selecting a cottage out of 3 cottages 1/3 Let us consider case where all 3 men choose cottage no 1 So for First men it will be 1/3,second men 1/3 and third men also 1/3 So probability of selecting cottage no 1 is 1/3... | C | calc |
gsm8k__GPExLiSzhloucVch | Bobby has 16 toy cars, and the number of cars he has increases by 50% every year. How many toy cars will Bobby have in three years? | In the first year, Bobby will acquire 16 * .5 =
<gadget id="calculator">16*.5</gadget>
<output>8</output>
8 new cars.
After the first year, he will have a total of 16 + 8 =
<gadget id="calculator">16+8</gadget>
<output>24</output>
24 cars.
In the second year, Bobby will acquire 24 * .5 =
<gadget id="calculator">24*.... | 54 | calc |
ape210k__00644275 | Calculation: 3752/(39*2)+5030/(39*10)=how much. | <gadget id="calculator">39 * 2</gadget>
<output>78</output>
<gadget id="calculator">3_752 / 78</gadget>
<output>1_876/39 = around 48.102564</output>
<gadget id="calculator">39 * 10</gadget>
<output>390</output>
<gadget id="calculator">5_030 / 390</gadget>
<output>503/39 = around 12.897436</output>
<gadget id="calcu... | 61 | calc |
ape210k__00584824 | If 0.7x=1, what kind of number is x? number greater than | <result>1</result> | 1 | calc |
aqua_rat__ansmKj2G0vrr6ONs | A window 2 inches wide is placed on the back of a rectangular painted area with dimensions 8 inches by 12 inches. What is the area of the window, in square inches? Choose the correct option:
A) 44
B) 96
C) 128
D) 144
E) 168 | This question is an example of a 'punch out' question - we have to find the area of EVERYTHING, then 'punch out' the part that we don't want. We're told that a window 2 inches wide is placed around a rectangular painted area with dimensions 8 inches by 12 inches. We're asked for the area of the window, in square inch... | B | calc |
ape210k__00346396 | In a ratio, the two outer terms are 3 and 9, one of the inner terms is 6, and the other inner term is what. | <gadget id="calculator">3 * 9</gadget>
<output>27</output>
<gadget id="calculator">27 / 6</gadget>
<output>9/2 = around 4.5</output>
<result>9/2 = around 4.5</result> | 9/2 | calc |
ape210k__00233682 | To welcome the World Expo, improve the road, a road with a length of 120 meters has been repaired (5/6), how many meters are left to be repaired. | <gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">1 - (5/6)</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">120 * (1/6)</gadget>
<output>20</output>
<result>20</result> | 20 | calc |
aqua_rat__7OpcoPGg1nhMd8nr | A car travels 25 km an hour faster than a bus for a journey of 500 km. If the bus takes 10 hours more than the car, then the speeds of the bus and the car are Select.
A) 25 km/h and 40 km/h, respectively
B) 25 km/h and 60 km/h, respectively
C) 25 km/h and 50 km/h, respectively
D) 25 km/h and 70 km/h, respectively
E) No... | Let the speed of the bus be x km / h. Then speed of the car = (x + 25) km / h ∴ 500/x=500/x+25+10 ⇒ x2 + 25x – 1250 = 0 ⇒ x = 25 Thus, speed of the bus = 25 km/h Speed of the car = 50 km/h Answer 25 km/h and 50 km/h, respectively
<result>C</result> | C | calc |
aqua_rat__34Ndp08vkHoFHuXj | Speed of a boat in standing water is 16 kmph and the speed of the stream is 2 kmph. A man rows to a place at a distance of 7020 km and comes back to the starting point. The total time taken by him is: Choose the correct choice from the following choices
A) 914.2 hours B) 900 hours C) 915 hours D) 891.4 hours E) 915 hou... | Explanation: Speed downstream = (16 + 2)=
<gadget id="calculator">(16 + 2)</gadget>
<output>18</output>
18 kmph Speed upstream= (16 - 2)=
<gadget id="calculator">(16 - 2)</gadget>
<output>14</output>
14 kmph Total time taken= 7020/18 + 7020/14 = 390 + 501.4=
<gadget id="calculator">390 + 501.4</gadget>
<output... | D | calc |
aqua_rat__a9Iw7NGtQTiAPzQg | The surface of a cube is 96sq cm. Find its volume? Choose the correct choice from the following:
A) 8cc
B) 9cc
C) 2cc
D) 4cc
E) 64cc | 6a2 = 96 = 6*16 a = 4 => a3 = 64cc Answer: 64cc
<result>E</result> | E | calc |
ape210k__00426765 | The minute hand of an alarm clock is 8 cm long. From 8:00 am to 12:00 noon, how many square centimeters does the minute hand sweep? | <gadget id="calculator">8 ** 2</gadget>
<output>64</output>
<gadget id="calculator">3.14 * 64 * 4</gadget>
<output>803.84</output>
<result>803.84</result> | 803.84 | calc |
ape210k__00658919 | In 2:5, add 4 to the former term of the ratio, how much should be added to the latter term to keep the ratio constant. | <gadget id="calculator">2 + 4</gadget>
<output>6</output>
<gadget id="calculator">6 / 2</gadget>
<output>3</output>
<gadget id="calculator">5 * 3</gadget>
<output>15</output>
<gadget id="calculator">15 - 5</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
ape210k__00830093 | There is a cylindrical glass with a base diameter of 4 cm and a height of 15 cm. What is the volume of this glass? | <gadget id="calculator">4 / 2</gadget>
<output>2</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">3.14 * 4 * 15</gadget>
<output>188.4</output>
<result>188.4</result> | 188.4 | calc |
ape210k__00428354 | The length of the railway between two cities A and B is 745 kilometers. A passenger car travels from city A to city B at a speed of 85 kilometers per hour. One hour later, a freight train leaves city B at a speed of 80 kilometers per hour. To Jiacheng. How many hours later will the two cars meet? | <gadget id="calculator">745 - 85</gadget>
<output>660</output>
<gadget id="calculator">85 + 80</gadget>
<output>165</output>
<gadget id="calculator">660 / 165</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
ape210k__00555735 | sporting goods store sold 12 pairs of badminton rackets of a certain brand in one morning, with a total income of 540 yuan. If you sell 21 pairs of badminton rackets of the same brand in the afternoon, how much should you earn? | <gadget id="calculator">540 / 12</gadget>
<output>45</output>
<gadget id="calculator">45 * 21</gadget>
<output>945</output>
<result>945</result> | 945 | calc |
aqua_rat__ou1TS4Yq05uGFhyD | A is a working partner and B is a sleeping partner in the business. A puts in Rs.15000 and B Rs.25000, A receives 10% of the profit for managing the business the rest being divided in proportion of their capitals. Out of a total profit of Rs.9600, money received by A is? Choose the correct choice from the following: A... | 15:25 => 3:5 9600*10/100=
<gadget id="calculator">9600*10/100</gadget>
<output>960</output>
960 9600 - 960=
<gadget id="calculator">9600 - 960</gadget>
<output>8_640</output>
8640 8640*3/8=
<gadget id="calculator">8640*3/8</gadget>
<output>3_240</output>
3240 + 960=
<gadget id="calculator">3240 + 960</gadg... | D | calc |
ape210k__00178895 | There are 6 pencils (of the same model) in a bag, 1 red, 2 yellow, and 3 blue. If you touch any one, what is the probability that you will get a blue pencil? | <gadget id="calculator">3 / 6</gadget>
<output>1/2 = around 0.5</output>
<result>1/2 = around 0.5</result> | 1/2 | calc |
ape210k__00361655 | Due to the price increase of raw materials, the price of a certain type of refrigerator has been increased by 5%, and the price of each refrigerator is 162.5 yuan more expensive than before. How much is the price of each refrigerator? | <gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">162.5 / (1/20)</gadget>
<output>3_250</output>
<result>3_250</result> | 3_250 | calc |
ape210k__00841419 | Remove the decimal point of 10.18, and the number will expand to the original number. | <gadget id="calculator">1_018 / 10.18</gadget>
<output>100</output>
<result>100</result> | 100 | calc |
ape210k__00971723 | The oil mill uses 500 kg of peanut kernels to extract 210 kg of oil. Find the oil yield of peanut kernels. | <gadget id="calculator">210 / 500</gadget>
<output>21/50 = around 0.42</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(21/50) * 1</gadget>
<output>21/50 = around 0.42</output>
<result>21/50 = around 0.42</result> | 21/50 | calc |
ape210k__00171895 | Xiaohong, Xiaoming, Xiaobing and Xiaohua each have to do 8 questions. How many questions did they solve in total? | <gadget id="calculator">8 * 4</gadget>
<output>32</output>
<result>32</result> | 32 | calc |
ape210k__00119903 | On Children's Day, the students bought 18 gifts of 2.4 yuan and 38 gifts of 1.8 yuan. How much did the students spend in total? | <gadget id="calculator">2.4 * 18</gadget>
<output>43.2</output>
<gadget id="calculator">1.8 * 30</gadget>
<output>54</output>
<gadget id="calculator">43.2 + 54</gadget>
<output>97.2</output>
<result>97.2</result> | 97.2 | calc |
aqua_rat__8MLi0pOuHzNMWWaZ | Find the third proportional to 4 and 16?
Choose the correct choice: A) 80 B) 12 C) 64 D) 78 E) 72 | Formula = Third proportional = (b × b)/a A = 4 and B = 16 (16 × 16)/ 4 = 256/4=
<gadget id="calculator">256/4</gadget>
<output>64</output>
64 64
<result>C</result> | C | calc |
math_qa__qKQkSBwpoECNnG3E | A man buys a cycle for Rs. 1400 and sells it at a loss of 12%. What is the selling price of the cycle?
Choose the correct choice from the following answers.
A) s . 1090 B) s . 1160 C) s . 1232 D) s . 1202 E) s . 1204 | <gadget id="calculator">100 - 12</gadget>
<output>88</output>
<gadget id="calculator">88 * 1_400</gadget>
<output>123_200</output>
<gadget id="calculator">123_200 / 100</gadget>
<output>1_232</output>
<result>C</result> | C | calc |
ape210k__01110665 | The cheetah is the fastest mammal in the world. It can run 120 kilometers per hour. The lion's speed is equivalent to (1/2) of the cheetah's speed per hour, which is equivalent to (6/7) of the ostrich's speed per hour. How many meters did you run? | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">6 / 7</gadget>
<output>6/7 = around 0.857143</output>
<gadget id="calculator">(1/2) / (6/7)</gadget>
<output>7/12 = around 0.583333</output>
<gadget id="calculator">120 * (7/12) * 1_000</gadget>
<output>70_000</output>
... | 70_000 | calc |
aqua_rat__EH9iTG33BPXnMKGA | From a group of boys and girls, 15 girls leave. They are then left 2 boys for each girl. After this, 63 boys leave. There are then 5 girls for each boy. Find the number of girls in the beginning Choose the correct choice from the following options
A) 20 B) 10 C) 30 D) 50 E) 40 | Assume the number of boys at present = x Then, the number of girls at present = 5x Before the boys left, the number of boys were (x+63) and number of girls were 5x Hence, 2(5x) = x + 63 => 10x = x + 63 => x = 7 Number of girls in the beginning = (5x + 15) = (5×7 + 15) = 50 Answer is 50.
<result>D</r... | D | calc |
ape210k__00216612 | Fill a conical container with a height of 30 cm with water and pour it into a cylinder with the same height as its bottom. What is the height of the water in cm? | <result>10</result> | 10 | calc |
mawps__8wCnZFCELyRjT6mC | Regina had 162 avocado. Ruth took 161 from him. Now How many avocado Regina have minus? | <gadget id="calculator">162 - 161</gadget>
<output>1</output>
<result>1</result> | 1 | calc |
aqua_rat__xYUgOxI7r1ojZAWn | he average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person ? Choose one: A) 75 kg B) 55 kg C) 45 kg D) 85 kg E) 25 kg | Explanation: Total weight increased = (8 x 2.5) kg = 20 kg. Weight of new person = (65 + 20)=
<gadget id="calculator">(65 + 20)</gadget>
<output>85</output>
85 kg. Answer: 85 kg
<result>D</result> | D | calc |
ape210k__00831905 | There is a computer that sells for only 4,800 yuan now, which is 40% lower than when it first went on the market. How much did the computer sell for when it first went on the market? | <gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 - (2/5)</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">4_800 / (3/5)</gadget>
<output>8_000</output>
<result>8_000</result> | 8_000 | calc |
ape210k__00848773 | An engineering team contracted the installation task of a tap water pipeline. The original plan was to install 0.48 kilometers per day, and the installation was completed in 15 days. The actual installation is 0.12 kilometers more per day, how many days has it actually been installed? | <gadget id="calculator">0.48 * 15</gadget>
<output>7.2</output>
<gadget id="calculator">0.48 + 0.12</gadget>
<output>0.6</output>
<gadget id="calculator">7.2 / 0.6</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
aqua_rat__rDNEA5WYcLBLoR3h | A car covers a distance of 720 km in 6 ½ hours. Find its speed? Select: A) 104 kmph B) 187 kmph C) 120 kmph D) 175 kmph E) 106 kmph | 720/6=
<gadget id="calculator">720/6</gadget>
<output>120</output>
120 kmph Answer: 120 kmph
<result>C</result> | C | calc |
aqua_rat__hOJJyTfPYg3J4Up0 | Company A has 13 employees, 8 of whom belong to the union. If 4 people work any one shift, and the union contract specifies that at least 4 union members work each shift, then how many different combinations of employees might work any given shift? Pick one.
A) 56 B) 231 C) 336 D) 350 E) 406 | Looks easy: -- 8C4*4C1 + 8C5 --350 (350).
<result>D</result> | D | calc |
ape210k__00232215 | Wang Hong bought a piece of clothing with a "20% discount" at the mall for 24 yuan. What is the original price of this piece of clothing? | <gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">24 / (4/5)</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
ape210k__00288238 | A story book has 180 pages. Wang Hong read (3/5) of the whole book. How many pages did she read? | <gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">180 * (3/5)</gadget>
<output>108</output>
<result>108</result> | 108 | calc |
aqua_rat__phn2e0dv4Hm4cvfJ | A straight fence is to be constructed from posts 6 inches wide and separated by lengths of chain 9 feet long. If a certain fence begins and ends with a post, which of the following could not be the length of the fence in feet? (12 inches = 1 foot) Pick one
A) 29 B) 48 C) 55 D) 67 E) 86 | There is one post for each length of chain, plus one final post at the end. The length of the fence in feet is 9.5x + 0.5, where each is the number of chain lengths. The length of the fence is an integer when x = 1,3,5,7,... The length of the fence could be 10, 29, 48, 67, 86,... The answer is 55.
<result>C</re... | C | calc |
aqua_rat__mQHGq2FNI2qa5hdN | P and Q invested in a business. The profit earned was divided in the ratio 4 : 6. If P invested Rs 60000, the amount invested by Q is Choose the correct choice from the following:
A) 30000 B) 50000 C) 90000 D) 20000 E) 60000 | Let the amount invested by Q = q 60000:q=4:6 ⇒60000×6=4q ⇒q=(60000×6)/4=90000 Answer is 90000.
<result>C</result> | C | calc |
ape210k__00609243 | There is a square lotus pond in the garden. Its circumference is 80 meters, please do the math, how many square meters is its area? | <gadget id="calculator">80 / 4</gadget>
<output>20</output>
<gadget id="calculator">20 * 20</gadget>
<output>400</output>
<result>400</result> | 400 | calc |
ape210k__00626111 | 204 students are lined up in 4 columns, each column has an equal number of people, and the distance between two adjacent people is 80 cm. How long is this student team? | <gadget id="calculator">204 / 4</gadget>
<output>51</output>
<gadget id="calculator">51 - 1</gadget>
<output>50</output>
<gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">50 * (4/5)</gadget>
<output>40</output>
<result>40</result> | 40 | calc |
math_qa__YeVsnJR2yCExxH1U | An uneducated retailer marks all his goods at 65% above the cost price and thinking that he will still make 25% profit, offers a discount of 25% on the marked price. What is his actual profit on the sales? Choose the correct choice
A) 12.50 % B) 13.50 % C) 14 % D) 23.75 % E) none | <gadget id="calculator">65 / 100</gadget>
<output>13/20 = around 0.65</output>
<gadget id="calculator">1 + (13/20)</gadget>
<output>33/20 = around 1.65</output>
<gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(33/20) * (1/4)</gadget>
<output>33/80 = around 0.4125<... | D | calc |
ape210k__00168566 | Use glass to make a cuboid goldfish bowl with a length of 1.2 meters, a width of 5 decimeters, and a height of 0.6 meters. How much glass is needed to make this goldfish bowl? | <gadget id="calculator">5 / 10</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1.2 * (1/2)</gadget>
<output>0.6</output>
<gadget id="calculator">1.2 * 0.6</gadget>
<output>0.72</output>
<gadget id="calculator">(1/2) * 0.6</gadget>
<output>0.3</output>
<gadget id="calculator">0.72 + 0.3</gadget>
<... | 2.64 | calc |
ape210k__00581186 | What is the number equal to 35%. | <gadget id="calculator">7 / 20</gadget>
<output>7/20 = around 0.35</output>
<result>7/20 = around 0.35</result> | 7/20 | calc |
ape210k__00632621 | When Honghong was calculating a decimal addition, she changed the position of 6 in the tens place and 9 in the hundreds place of one of the addends, and the result was much more than the correct answer. | <gadget id="calculator">0.9 - 0.6</gadget>
<output>0.3</output>
<gadget id="calculator">0.09 - 0.06</gadget>
<output>0.03</output>
<gadget id="calculator">0.3 - 0.03</gadget>
<output>0.27</output>
<result>0.27</result> | 0.27 | calc |
aqua_rat__bZsU0GejILDGX8SL | A can do a work in 16 days and B can do it in 8 days. In how many days A and B can do the work? Choose the correct option:
A) 20 days B) 5 1/3 days C) 6 days D) 8 days E) 7 days | Explanation: A's 1day's work = 1/16 5 1/3 days's 1day's work = 1/8 They work together = 1/16 + 1/8 = 3/16 = 16/3 = 5 1/3days Answer: Option 5 1/3 days
<result>B</result> | B | calc |
math_qa__APuqsoHpCVdkCutR | If John covers a certain distance in 1 hr. 24 min. by covering two third of the distance at 4 kmph and the rest at 5 kmph, then find the total distance. Choose the correct choice from the following choices
A) 9 km B) 2 km C) 1 km D) 6 km E) 7 km | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">24 / 60</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 + (2/5)</gadget>
<output>7/5 = around 1.4</output>
<gadget id="calculator">(2/3) * (7/5)</gadget>
<output>14/15 = around 0.933333</output>... | D | calc |
gsm8k__SRFIo3GQOO4IanFp | Hugo can fold a small box in 3 seconds and a medium one in twice that time. Tom can fold both the small and medium boxes in 4 seconds. If Hugo and Tom want to leave as early as possible, how long (in seconds) will it take them to fold 2400 small boxes and 1800 medium boxes? | If it takes Hugo twice the amount of time to fold a medium box than a small box, then he needs 2*3 =
<gadget id="calculator">6</gadget>
<output>6</output>
6 seconds for the medium box.
If Tom can fold either the small or medium box in 4 seconds, then he's faster at folding the medium box than Hugo because 4s < 6s.
... | 7_200 | calc |
ape210k__00052338 | If 100 trees are planted and 5 die, what is the survival rate? | <gadget id="calculator">100 - 5</gadget>
<output>95</output>
<gadget id="calculator">95 / 100</gadget>
<output>19/20 = around 0.95</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(19/20) * 1</gadget>
<output>19/20 = around 0.95</output>
<result>19/20 = around 0.95</res... | 19/20 | calc |
ape210k__01169941 | The school playground is 80 meters long, and Mr. Li has to run 9 round trips every day. How many meters does he run every day? | <gadget id="calculator">9 * 2 * 80</gadget>
<output>1_440</output>
<result>1_440</result> | 1_440 | calc |
aqua_rat__m1HKNLHjTq84CUqV | Find how many positive integers less than 10,000 are there suchthat the sum of the digits of the no. is divisible by 3?
Pick: A) 2367 B) 2456 C) 2799 D) 3334 E) 3458 | If sum of the digits is divisible by 3, the number is divisible by 3. Therefore, required number of non-negative integers is equal to count of numbers less than 10,000 which are divisible by 3. Such numbers are (3, 6, 9, ... , 9999) (arithmetic progression with first term=3, last term=9999, common difference=3). ... | D | calc |
aqua_rat__yxP5I5SAO1G4SCue | The ratio of a to b to c is 2 to 3 to 4, and a, b, c are positive integers. If the average (arithmetic mean) of the three numbers is 42, what is the value of a?
Choose the most appropriate option:
A) 24 B) 25 C) 28 D) 30 E) 32 | Let a=2k, b=3k, and c=4k. a+b+c = 2k+3k+4k = 9k Since the average is 42: 9k/3 2 +3 +4=
<gadget id="calculator">2 +3 +4</gadget>
<output>9</output>
9k Since the average is 42: 9k/3= 42 3k = 42 k=14 Then a=28. The answer is 28.
<result>C</result> | C | calc |
aqua_rat__DwO0QwMIrQ4ZSyi2 | What is the remainder when 1250*1040*1057*1145 is divided by 32? Select
A) 3 B) 5 C) 0 D) 2 E) 9 | OA is 'C'. OE: take the remainder from each of 1250/32, 1040/32 and so on.. 1250/32 gives remainder = 2 1040/32 gives remainder = 16 1057/32 gives remainder = 1 1145/32 gives remainder = 25 the net remainder is the product of above individual remainders. i.e = 2*16*1*25 break them into pairs 2*16/32 giv... | C | calc |
ape210k__00569815 | cone has a base area of 28.26 square meters and a height of 18 decimeters. What is its volume in cubic meters? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">18 / 10</gadget>
<output>9/5 = around 1.8</output>
<gadget id="calculator">(1/3) * 28.26 * (9/5)</gadget>
<output>16.956</output>
<result>16.956</result> | 16.956 | calc |
ape210k__00996905 | A job can be done by A in 12 hours alone, and by B in 20 hours. Now A works for 1 hour, B for 2 hours, A for 1 hour, and B for 2 hours. How many hours? | <gadget id="calculator">5 * 3</gadget>
<output>15</output>
<gadget id="calculator">15 + 1</gadget>
<output>16</output>
<result>16</result> | 16 | calc |
ape210k__01182233 | Xiaojun finished reading a fairy tale book in three days. He read 25% of the book on the first day, 24 pages on the second day, and 150% of the total in the first two days on the third day. How many pages does this book have? | <gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">150 / 100</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">1 + (3/2)</gadget>
<output>5/2 = around 2.5</output>
<gadget id="calculator">(3/2) / (5/2)</gadget>
<output>3/5 = around 0.6</output>
<gad... | 160 | calc |
ape210k__00516333 | The divisor is 37, the quotient is 8, how many division formulas can be written. | <gadget id="calculator">1 + 36</gadget>
<output>37</output>
<result>37</result> | 37 | calc |
ape210k__00106643 | If the surface area of a cube is 150 square decimeters, what is its volume in cubic decimeters? | <gadget id="calculator">5 * 5 * 5</gadget>
<output>125</output>
<result>125</result> | 125 | calc |
ape210k__01096881 | A sweater is 170 yuan after a 15% discount. What is the original price of this sweater? | <gadget id="calculator">85 / 100</gadget>
<output>17/20 = around 0.85</output>
<gadget id="calculator">170 / (17/20)</gadget>
<output>200</output>
<result>200</result> | 200 | calc |
ape210k__00631061 | Xiaohong folded an origami crane with (1/3) of a piece of paper, and folded an airplane with the remaining (5/6). How much did the origami airplane use up? | <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">5 / 6</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">(2/3) * (5/6)</gadget>
<output>5/9 = around 0.555556</o... | 5/9 | calc |
ape210k__00652457 | A piece of rectangular cardboard with a length of 48 cm and a width of 18 cm should be cut into circular pieces of paper each with a diameter of 6 cm. How many pieces can be cut at most? | <gadget id="calculator">6 * 6</gadget>
<output>36</output>
<gadget id="calculator">18 / 36</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">48 * (1/2)</gadget>
<output>24</output>
<result>24</result> | 24 | calc |
math_qa__RPucdCdJ872xtZ3x | If there are 200 questions in a 3 hr examination. Among these questions are 25 type A problems, which requires twice as much as time be spent than the rest of the type B problems. How many minutes should be spent on type A problems? Choose one
A) 40 min B) 62 min C) 70 min D) 74 min E) 76 min | <gadget id="calculator">3 * 60</gadget>
<output>180</output>
<gadget id="calculator">200 - 25</gadget>
<output>175</output>
<gadget id="calculator">2 * 25</gadget>
<output>50</output>
<gadget id="calculator">175 + 50</gadget>
<output>225</output>
<gadget id="calculator">180 / 225</gadget>
<output>4/5 = around 0.8</... | A | calc |
mawps__xJC5ZASm2K4PVGEd | Erin had some fig. Felipe gave him 7 more. Now Erin has 26 fig. How many fig did Erin have incipiently? | <gadget id="calculator">26 - 7</gadget>
<output>19</output>
<result>19</result> | 19 | calc |
ape210k__01202259 | The agricultural machinery factory plans to produce 800 units, with an average production of 44 units per day. The production took 10 days, and the remaining tasks are required to be completed in 8 days. How many units should be produced on average per day? | <gadget id="calculator">44 * 10</gadget>
<output>440</output>
<gadget id="calculator">800 - 440</gadget>
<output>360</output>
<gadget id="calculator">360 / 8</gadget>
<output>45</output>
<result>45</result> | 45 | calc |
ape210k__00155829 | One day, my parents took Xiaobei, who was in kindergarten, to visit the zoo. The lowest fare is 3 yuan, and the highest fare is 5 yuan. The following amount of yuan may be the total purchase price of the three of them. | <gadget id="calculator">3 + 5 + 5</gadget>
<output>13</output>
<result>13</result> | 13 | calc |
ape210k__00199106 | There are a number of water pipes that fill with equal amounts of water per minute. Now open some of the water pipes, after the predetermined time (1/3), and then double the number of open water pipes, the pool can be filled according to the predetermined time. If you open 10 water pipes at the beginning and do not ope... | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(1/3) * (1/10)</gadget>
<output>1/30 = around 0.033333</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output... | 6 | calc |
ape210k__00251913 | ((2010+2009*2011)/(2010*2010+2011*2011-3)). | <gadget id="calculator">2_009 * 2_011</gadget>
<output>4_040_099</output>
<gadget id="calculator">2_010 + 4_040_099</gadget>
<output>4_042_109</output>
<gadget id="calculator">2_010 * 2_010</gadget>
<output>4_040_100</output>
<gadget id="calculator">2_011 * 2_011</gadget>
<output>4_044_121</output>
<gadget id="calc... | 1/2 | calc |
aqua_rat__NEE5Pe4CnihaTeti | If p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of p ? Choose the correct choice from the following options:
A) 10 B) 12 C) 14 D) 16 E) 18 | Thus proceeding with the "300 + k" assumption, we get: P = 30! Option A: 310 => 310 = 2 * 5 * 31 => 31 is a prime and is not present in 30! Thus 310 is not a factor of P => A is Eliminated Option 12: 312 => 312 = 2^3 * 3 * 13 Thus 312 is a factor of P => 12 is the correct answer ! O... | B | calc |
aqua_rat__SYYERCVWw4oX3Akf | How many 4 digit numbers that do not contain the digit 2 are there?
Choices.
A) 5832 B) 4332 C) 6444 D) 5854 E) 7296 | Applying combinations....8 * 9 * 9 * 9 = 5832... 8 for first digit...cant be 0 or 2 9 and 9 for 2nd and 3rd....cant be 2 9 for fourth digit cannot be 2 5832NSWER: 5832
<result>A</result> | A | calc |
aqua_rat__beMdyUSOT4z9gUTt | A man purchases 2 watches for $ 7650. He sells one at 25% profit and the other at a loss of 20%. He neither gains nor loses on the whole. Thus, the cost price of two watches are : Pick one:
A) $ 3400 and $ 7650 B) $7650and $ 4250 C) $3400 and $4250 D) $7650 and $3400 E) $2240 and $ 3500 | x + y = 7650 --- (1) 1.25x + 0.8y = 7650 --- (2) (2) - (1) --> 0.25x - 0.2y = 0 25x = 20y x/y = 4/5 = (4*850)/(5*850) = 3400/4250 Answer: $3400 and $4250
<result>C</result> | C | calc |
aqua_rat__NsNghnciwI4ln5Nj | What is the average of three tenths and five thousandths
Choose one
A) 0.2022 B) 0.3325 C) 0.1525 D) 0.2012 E) 0.2114 | Explanation: three tenths = 0.3 Five thousandths = 0.005 The average is (0.3 + 0.005)/2=
<gadget id="calculator">(0.3 + 0.005)/2</gadget>
<output>0.1525</output>
0.1525 Answer: 0.1525
<result>C</result> | C | calc |
math_qa__jNzkTvlSAM0PYRdD | The mean of 50 observations was 36. It was found later that an observation 45 was wrongly taken as 23. The corrected new mean is Choose the correct answer
A) 35.24 B) 36.14 C) 36.24 D) 36.44 E) none | <gadget id="calculator">36 * 50</gadget>
<output>1_800</output>
<gadget id="calculator">50 - 2</gadget>
<output>48</output>
<gadget id="calculator">48 - 23</gadget>
<output>25</output>
<gadget id="calculator">1_800 + 25</gadget>
<output>1_825</output>
<gadget id="calculator">1_825 / 50</gadget>
<output>73/2 = aroun... | D | calc |
math_qa__YBZUVUkcz2ELMfBB | In a graduate physics course, 70 percent of the students are male and 30 percent of the students are married. If one-sevenths of the male students are married, what fraction of the female students is single? Select the correct option: A) 1 / 3 B) 1 / 7 C) 1 / 2 D) 2 / 3 E) 5 / 7 | <gadget id="calculator">10 / 30</gadget>
<output>1/3 = around 0.333333</output>
<result>A</result> | A | calc |
ape210k__00488348 | To make the quotient of □26/8 a three-digit number, what is the smallest number in □ | <result>8</result> | 8 | calc |
ape210k__00090792 | 500 kg of rapeseed can extract 210 kg of oil, what is the oil yield of this batch of rapeseed? | <gadget id="calculator">210 / 500</gadget>
<output>21/50 = around 0.42</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">(21/50) * 1</gadget>
<output>21/50 = around 0.42</output>
<result>21/50 = around 0.42</result> | 21/50 | calc |
gsm8k__VCKzcwHiL4oC7frr | James took a job delivering groceries in his neighborhood. He can carry 10 bags on each trip. If he takes 20 trips a day, how many bags does he deliver in 5 days? | James delivers 10 x 20 =
<gadget id="calculator">10*20</gadget>
<output>200</output>
200 bags a day.
So, he can deliver 200 x 5 =
<gadget id="calculator">200*5</gadget>
<output>1_000</output>
1000 bags in 5 days.
<result>1_000</result> | 1_000 | calc |
aqua_rat__01PRhyjUQkmfd1Hw | How many obtuse triangle can be made when one of the side of the triangle is taken between the 1st natural number and 8.
Options.
A) 1 B) 2 C) 3 D) 4 E) 5 | 3 triangles can be formed....because we have to take the property that sum of two sides of a triangle should be greater than the third side ANSWER:3
<result>C</result> | C | calc |
aqua_rat__iMWBpKPMbc2xiLCs | A boat can move upstream at 25 kmph and downstream at 45 kmph, then the speed of the current is? Choose the correct option
A) 5 B) 6 C) 7 D) 4 E) 10 | US = 25 DS = 45 M = (45 - 25)/2=
<gadget id="calculator">(45 - 25)/2</gadget>
<output>10</output>
10 Answer: 10
<result>E</result> | E | calc |
ape210k__00438477 | Xiao Ming reads a 120-page story book. He reads (1/10) of the whole book on the first day and (1/6) of the whole book on the second day. On the third day, he should read from the first page. | <gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(1/10) + (1/6)</gadget>
<output>4/15 = around 0.266667</output>
<gadget id="calculator">120 * (4/15)</gadget>
<output>32</output>
<gadget i... | 33 | calc |
ape210k__00702551 | Xiao Ming is 9 years old this year, his father is 5 times as old as Xiao Ling, how old is his father this year? | <gadget id="calculator">9 * 5</gadget>
<output>45</output>
<result>45</result> | 45 | calc |
ape210k__01093395 | There is a kind of spring and autumn quilt in the supermarket. The current price is 320 yuan per piece, which is 1/5 lower than the original price. How much is the original price per piece? | <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">320 / (4/5)</gadget>
<output>400</output>
<result>400</result> | 400 | calc |
ape210k__00696029 | Divide a 2-meter-long rope into 3 equal sections, how many meters is each section? | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<result>2/3 = around 0.666667</result> | 2/3 | calc |
ape210k__00130970 | Xiao Ming bought 2 mechanical pencils and spent 4 yuan; Xiao Jiang bought 2 pens and spent 10 yuan. How much less does a mechanical pencil cost than a fountain pen? (answer in two ways) | <gadget id="calculator">10 / 2</gadget>
<output>5</output>
<gadget id="calculator">4 / 2</gadget>
<output>2</output>
<gadget id="calculator">5 - 2</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
aqua_rat__UKFSXAuPpCpNRW9o | In how many ways can 5 boysand 2 girls be arranged at a table if 2 girls are never together? Options
A) 200
B) 240
C) 250
D) 260
E) 480 | Total ways of arranging 7 person in a circle = 6! = 720 ways If we consider two women as one, then we have 5+1=
<gadget id="calculator"> 5+1</gadget>
<output>6</output>
6 persons. Arranging these six persons in circle will take= 5! = 120 ways And two women can arrange themselves in 2! ways Total ways in which... | E | calc |
math_qa__9aH3b7Q0T5huLwZa | TOM traveled the entire 80 miles trip. If he did the first 30 miles of at a constant rate 30 miles per hour and the remaining trip of at a constant rate 50 miles per hour, what is the his average speed, in miles per hour? Answers.
A) 55 mph B) 50 mph C) 40 mph D) 60 mph E) 70 mph | <gadget id="calculator">80 - 30</gadget>
<output>50</output>
<gadget id="calculator">50 / 50</gadget>
<output>1</output>
<gadget id="calculator">30 / 30</gadget>
<output>1</output>
<gadget id="calculator">1 + 1</gadget>
<output>2</output>
<gadget id="calculator">80 / 2</gadget>
<output>40</output>
<result>C</resul... | C | calc |
aqua_rat__QZQtlHW2syOERko1 | Arun obtained 76, 65, 82, 67 and 85 marks (out in 100) in English, Mathematics, Chemistry, Biology and Physics. What is his average mark? Choose the correct answer: A) 53 B) 54 C) 72 D) 75 E) 78 | Explanation: Average mark = 76+65+82+67+85/5=375/5=
<gadget id="calculator">375/5</gadget>
<output>75</output>
75 Answer: Option 75
<result>D</result> | D | calc |
ape210k__00352886 | box of cuboid biscuits is 15 cm long, 10 cm wide, and 6 cm high. Stick a piece of label paper with a height of 0.5 decimeters around it. How many square centimeters does the area of this label paper have? | <gadget id="calculator">0.5 * 10</gadget>
<output>5</output>
<gadget id="calculator">15 * 5 * 2</gadget>
<output>150</output>
<gadget id="calculator">10 * 5 * 2</gadget>
<output>100</output>
<gadget id="calculator">150 + 100</gadget>
<output>250</output>
<result>250</result> | 250 | calc |
ape210k__00568042 | When Xiaofang reads a book, the ratio of the number of pages she has read to the number of pages she has not read is 2:5. It is known that she has read 40 pages, and how many more pages will be needed to read half of the book. | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">40 / (2/5)</gadget>
<output>100</output>
<gadget id="calculator">40 + 100</gadget>
<output>140</output>
<gadget id="calculator">140 / 2</gadget>
<output>70</output>
<gadget id="calculator">70 - 40</gadget>
<output>30</o... | 30 | calc |
aqua_rat__acRtpo2AoSkABVQ5 | The number of boys in a class is 2 times the number of girls. Which one of the following numbers cannot represent the total number of children in the class ? Choose the correct choice:
A) A)47
B) B)44
C) C)42
D) D)40
E) E)38 | Explanation: Let number of girls = x and number of boys = 2x. Then, 2x + x = 3x = total number of students. Thus, to find exact value of x, the total number of students must be divisible by 3. Answer: 42
<result>C</result> | C | calc |
ape210k__00823811 | Expand the side of a cylinder, exactly a square with a side length of 62.8 cm. What is the area of the base of this cylinder in square centimeters? | <gadget id="calculator">62.8 / 3.14 / 2</gadget>
<output>10</output>
<gadget id="calculator">10 ** 2</gadget>
<output>100</output>
<gadget id="calculator">3.14 * 100</gadget>
<output>314</output>
<result>314</result> | 314 | calc |
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