id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
ape210k__00725023 | A rectangular orchard is 400 meters long and 250 meters wide. What is the area of the rectangular orchard? | <gadget id="calculator">250 / 10_000</gadget>
<output>1/40 = around 0.025</output>
<gadget id="calculator">400 * (1/40)</gadget>
<output>10</output>
<result>10</result> | 10 | calc |
aqua_rat__GulRNIRJvzL7n4pb | If t > 0, which of the following could be true?
I. t^3 > t^2
II. t^2 = t
III. t^2 > t^3 Choose one:
A) I only
B) III
C) IIIII
D) All of the above
E) None of the above | 1. t^3 > t^2 Well this is true for all t > +1 (but not for values 0 < t < 1) 2. t^2 = t This is true for only one positive number, 1 3. t^2 > t^3 Again this is true only for values of t such that 0 < t < 1 So the answer is All of the above, since there exists at least one value of t which sat... | D | calc |
ape210k__00382970 | 7/5=((())/15)=(28/(()))=how much (decimal). | <gadget id="calculator">7 / 5</gadget>
<output>7/5 = around 1.4</output>
<result>7/5 = around 1.4</result> | 7/5 | calc |
ape210k__00509156 | The school cafeteria eats 135 kilograms of rice a week (calculated as 5 days a week), how many kilograms of rice do you eat on average every day? | <gadget id="calculator">135 / 5</gadget>
<output>27</output>
<result>27</result> | 27 | calc |
ape210k__00220283 | Teacher Wang distributed 22 red balloons and 26 blue balloons to several children who were playing games together, and each child got the same number of red balloons and the same number of blue balloons. In the end, if there are 2 red balloons left and 2 blue balloons are missing, how many children are playing games to... | <gadget id="calculator">2 * 2</gadget>
<output>4</output>
<result>4</result> | 4 | calc |
ape210k__01205423 | The sum of (1/2) plus (2/3) is equal to (2/3) of a number. What is this number? | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(1/2) + (2/3)</gadget>
<output>7/6 = around 1.166667</output>
<gadget id="calculator">(7/6) / (2/3)</gadget>
<output>7/4 = around 1.75</output... | 7/4 | calc |
aqua_rat__rKmgHYL28kFeK2Kz | A reduction of 20% in the price of salt enables a lady to obtain 25 kgs more for Rs.100, find the original price per kg? Choose the correct choice.
A) 6 B) 1 C) 5 D) 4 E) 7 | 100*(20/100)=
<gadget id="calculator">100*(20/100)</gadget>
<output>20</output>
20 --- 25 ? --- 1=> Rs.0.8 100 --- 80 ? --- 0.8 => Rs.1 Answer: 1
<result>B</result> | B | calc |
ape210k__01062517 | It only took 2 hours for Uncle Zhang to send the TV from the urban area to Chencun. The distance traveled in the first hour (5/8) was 18 kilometers less. The ratio of the distance traveled in the second hour to the first hour was 3:2. How many kilometers is it from the urban area to Chencun? | <gadget id="calculator">5 / 8</gadget>
<output>5/8 = around 0.625</output>
<gadget id="calculator">3 + 2</gadget>
<output>5</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(5/8) - (2/5)</gadget>
<output>9/40 = around 0.225</output>
<gadget id="calculator">18... | 80 | calc |
ape210k__00961111 | A cylindrical pool filled with water has a bottom radius of 1 meter. After part of the water is used, the water level drops by 20 cm, and the remaining water is exactly (7/8) of the pool. What is the volume of this pool? | <gadget id="calculator">1 ** 2</gadget>
<output>1</output>
<gadget id="calculator">7 / 8</gadget>
<output>7/8 = around 0.875</output>
<gadget id="calculator">1 - (7/8)</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">20 / (1/8) / 100</gadget>
<output>8/5 = around 1.6</output>
<gadget id="calcula... | 5.024 | calc |
ape210k__01199373 | The CCTV tower is 405 meters high, and the teaching building of Dongfang Primary School is 15 meters high. How many times is the height of the CCTV tower higher than the teaching building? | <gadget id="calculator">405 / 15</gadget>
<output>27</output>
<result>27</result> | 27 | calc |
ape210k__00472496 | A commodity is now 120 yuan per piece, which is 20% lower than the original price. What is the original price of this commodity? | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">120 / (4/5)</gadget>
<output>150</output>
<result>150</result> | 150 | calc |
aqua_rat__tjlttzg7dzzoS2zV | Two men, Vikas and Vishal, working separately can mow a field in 8 and 12 hours respectively. If they work in stretches of one hour alternately, Vikas beginning at 8 a.m, when will the mowing be finished? Choose the correct choice from the following answers:
A) 232 B) 787 C) 2369 D) 277 E) 281 | Answer:787
<result>B</result> | B | calc |
ape210k__00404306 | The mother squirrel picks pine cones. She picks 20 pine cones a day on sunny days, but only 13 pine cones on rainy days. She has picked 112 pine cones for several days, and she picks 16 pine cones on average. How many days does it rain? | <gadget id="calculator">112 / 16</gadget>
<output>7</output>
<gadget id="calculator">20 * 7</gadget>
<output>140</output>
<gadget id="calculator">140 - 112</gadget>
<output>28</output>
<gadget id="calculator">20 - 13</gadget>
<output>7</output>
<gadget id="calculator">28 / 7</gadget>
<output>4</output>
<result>4</... | 4 | calc |
aqua_rat__YXUn9je27uTE6Wqo | There are an odd number of bananas in every bunch of bananas (b = number of bananas per bunch, and B = number bunches of bananas), and every bag of apples has an even number of apples (a = number apples per bag, and A = number bags of apples). The store refuses to sell individual items. The store only sells bunches and... | Divisible by 2 (Parity Mathematics) states: an even number is an integer of the form n = 2k, where k is an integer; an odd number is an integer of the form n = 2k + 1. So, (A)(2a) will give an even number of apples, and (B)(2b + 1), from Parity Mathematics Rule: The sum of two odd numbers is even, will give an even... | D | calc |
ape210k__00354000 | If a circle with a circumference of 31.4 cm is equally divided into two semicircles, what is the circumference of each semicircle? | <gadget id="calculator">31.4 / 2</gadget>
<output>15.7</output>
<gadget id="calculator">31.4 / 3.14</gadget>
<output>10</output>
<gadget id="calculator">15.7 + 10</gadget>
<output>25.7</output>
<result>25.7</result> | 25.7 | calc |
aqua_rat__etOF5VZN5oDDlvYt | How many of the positive factors of 33 are not factors of 45? Pick:
A) 0 B) 1 C) 2 D) 3 E) 4 | Factors of 33 - 1, 3, 11, 33, factors of 45- 1, 3, 5, 9, 15, 45, 2omparing both, we have three factors of 33 which are not factors of 45- 11, 33, The answer is 2
<result>C</result> | C | calc |
gsm8k__0j6FQqma82T7t6lD | The coach of a football team asked his players to do six laps of the field. The field is in the shape of a rectangle of length 100 m and width 50 m. What is the distance each player will run, in meters? | One lap corresponds to the perimeter of a rectangle of 100 m length and 50 m width: 2*100 + 2 *50 =
<gadget id="calculator">2*100+2*50</gadget>
<output>300</output>
300 metres.
Each player has to do six turns of the field, so runs 6*300 =
<gadget id="calculator">6*300</gadget>
<output>1_800</output>
1800 meters.
<re... | 1_800 | calc |
ape210k__00216572 | Two belt pulleys connected together, the radius of the big pulley is 0.54m, and the radius of the small pulley is 0.18m, how many times does the big pulley make one revolution of the small pulley? | <gadget id="calculator">3.14 * 0.54 * 2</gadget>
<output>3.3912</output>
<gadget id="calculator">3.14 * 0.18 * 2</gadget>
<output>1.1304</output>
<gadget id="calculator">3.3912 / 1.1304</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
ape210k__00067949 | A train travels 65 kilometers per hour, and the speed of Xiaoqiang riding a bicycle is 2 kilometers faster than the speed of the train (2/13). How many kilometers per hour does Xiaoqiang ride a bicycle? | <gadget id="calculator">2 / 13</gadget>
<output>2/13 = around 0.153846</output>
<gadget id="calculator">65 * (2/13)</gadget>
<output>10</output>
<gadget id="calculator">10 + 2</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
ape210k__00384534 | The fourth grade of Dacheng Experimental School has 3 classes with 42 students in each class, and the fifth grade has 2 classes with 43 students in each class. How many more students are there in the fourth grade than in the fifth grade? | <gadget id="calculator">42 * 3</gadget>
<output>126</output>
<gadget id="calculator">43 * 2</gadget>
<output>86</output>
<gadget id="calculator">126 - 86</gadget>
<output>40</output>
<result>40</result> | 40 | calc |
math_qa__Msk1iAmaP9IwksZ3 | There are 2 sections A and B in a class, consisting of 24 and 16 students respectively. If the average weight of section A is 40kg and that of section B is 35kg, Find the average of the whole class? Choose the correct option:
A) 35.29 kg
B) 37.25 kg
C) 42 kg
D) 38 kg
E) 29.78 kg | <gadget id="calculator">24 * 40</gadget>
<output>960</output>
<gadget id="calculator">16 * 35</gadget>
<output>560</output>
<gadget id="calculator">960 + 560</gadget>
<output>1_520</output>
<gadget id="calculator">24 + 16</gadget>
<output>40</output>
<gadget id="calculator">1_520 / 40</gadget>
<output>38</output>
... | D | calc |
ape210k__00371067 | What is the surface area of a cuboid with a length of 4 decimeters, a width of 3 decimeters, and a height of 2 decimeters? | <gadget id="calculator">4 * 3</gadget>
<output>12</output>
<gadget id="calculator">4 * 2</gadget>
<output>8</output>
<gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">12 + 8 + 6</gadget>
<output>26</output>
<gadget id="calculator">26 * 2</gadget>
<output>52</output>
<result>52</resu... | 52 | calc |
ape210k__00020085 | A parallelogram orchard has a base of 150 meters and a height of 40 meters. If each fruit tree occupies an area of 6 square meters, can this orchard accommodate 480 fruit trees? | <result>480</result> | 480 | calc |
ape210k__00479536 | How many smaller cubes can be obtained by cutting a cube with side length 6 cm into cubes with side length 2 cm? | <gadget id="calculator">2 * 2 * 2</gadget>
<output>8</output>
<gadget id="calculator">6 / 8</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">6 * 6 * (3/4)</gadget>
<output>27</output>
<result>27</result> | 27 | calc |
ape210k__00482092 | A bag of rice, after eating (1/4), add another 8 kg, then the rice in the bag is equivalent to 80% of the original rice. How many kilograms is this bag of rice originally? | <gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</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>
<gadget id="calculator">(4/5) - (3/4)</gadget>
<output>1/20 = around 0.05</output>
<gadg... | 160 | calc |
aqua_rat__ijWGHV0mKrCtETYR | A Man travelled a distance of 61 km in 9 hours. He travelled partly on foot at 4 km/hr and partly on
bicycle at 9 km/hr. What is the distance travelled on foot? Pick: A) 16 km B) 14 km C) 12 km D) 10 km E) None of these | Explanation: Let the time in which he travelled on foot = x hour Time for travelling on bicycle = (9 - x) hr Distance = Speed * Time, and Total distance = 61 km So, 4x + 9(9-x) = 61 => 5x = 20 => x = 4 So distance traveled on foot = 4(4) = 16 km 16 kmnswer: Option 16 km
<result>A</result> | A | calc |
aqua_rat__omJrTdjeF4gMU74Y | If the 9th day of a month is two days earlier than Monday, What day will it be on the nineteenth day of the month?
Choose the correct choice from the following options
A) Saturday
B) Tuesday
C) Sunday
D) Wednesday
E) Friday | Explanation: Given that 9th day of a month is two days earlier than Monday => 9th day is Saturday => 16th is Saturday => 19th is Tuesday Answer: Option Tuesday
<result>B</result> | B | calc |
aqua_rat__pBYEHJ5eDMvzx7TR | A train passes a station platform in 62 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform? Select: A) 615 m B) 240 m C) 168 m D) 444 m E) 691 m | Speed = 54 * 5/18=
<gadget id="calculator">54 * 5/18</gadget>
<output>15</output>
15 m/sec. Length of the train= 15 * 20=
<gadget id="calculator">15 * 20</gadget>
<output>300</output>
300 m. Let the length of the platform be x m . Then, (x + 300)/62= 15 => x = 444 m Answer: 444 m
<result>D</result> | D | calc |
ape210k__00417740 | There are more peach trees than apricot trees in the orchard (2/7). If there are 140 apricot trees, how many peach trees are there? | <gadget id="calculator">2 / 7</gadget>
<output>2/7 = around 0.285714</output>
<gadget id="calculator">1 + (2/7)</gadget>
<output>9/7 = around 1.285714</output>
<gadget id="calculator">140 * (9/7)</gadget>
<output>180</output>
<result>180</result> | 180 | calc |
aqua_rat__JqkjRGkAoER8v1Pt | What is the remainder when you divide 2^200-2 by 7? Select the correct option
A) 1 B) 2 C) 3 D) 4 E) 5 | answer is B. this is very similar to the 32^32^32-2 divided by 7 question.
<result>B</result> | B | calc |
ape210k__01040989 | worker completes a batch of parts in 3 days, (1/3) of the total number is completed on the first day, (1/4) of the total number is completed on the second day, and 25 pieces are completed on the third day. How many parts are there in this batch? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 - (1/3) - (1/4)</gadget>
<output>5/12 = around 0.416667</output>
<gadget id="calculator">25 / (5/12)</gadget>
<output>60</output>
<result>... | 60 | calc |
math_qa__HrgzH9PyF8r8VXRA | Cereal A is 10% sugar by weight, whereas healthier but less delicious Cereal B is 3% sugar by weight. To make a delicious and healthy mixture that is 4% sugar, what should be the ratio of Cereal A to Cereal B, by weight? Choose the correct answer:
A) 2 : 9
B) 2 : 7
C) 1 : 6
D) 1 : 4
E) 1 : 3 | <gadget id="calculator">4 - 3</gadget>
<output>1</output>
<gadget id="calculator">10 - 4</gadget>
<output>6</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<result>C</result> | C | calc |
ape210k__00750781 | The number of boys in class 31 is 12 more than the number of girls. If the number of boys decreases (1/2) and the number of girls decreases (1/5), then the number of boys and girls is equal. How many students are there in this class? | <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">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 - (1/2)</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calc... | 52 | calc |
aqua_rat__hySlLSQytOzpUjaK | In how many ways can 5 men & 4 women can be made from a gang of 6 men & 6 women ? Choose the correct answer:
A) 10
B) 21
C) 24
D) 27
E) 29 | Explanation: 6C5* 6C4 = 21 21
<result>B</result> | B | calc |
ape210k__00433866 | Cut a cylinder of wood into the largest cone, the volume of the cut wood is 24cm**3, what is the volume of this cylinder of wood in cm**3. | <gadget id="calculator">24 / 2</gadget>
<output>12</output>
<gadget id="calculator">12 * 3</gadget>
<output>36</output>
<result>36</result> | 36 | calc |
aqua_rat__BLHUIPV3eRcczNSc | In a practice paper at 2iim.com, questions were given from 5 topics. Out of the appearing students, 10% passed in all topics while 10% did not pass in any. Of the remaining, 20% passed in one topic only and 25% in two topics only. If 24% of the total students passed 4 topics only and 500 students passed in 3 topics onl... | DETAILED SOLUTION Let the number of appearing students be 100. Pass only in 0 topic β 10 1 β 16 (20% of 80) 2 β 20 (25% of 80) 3 β 20% (100 β (16+20+24+20)) 4 β 24% 5 β 20% Therefore, 20% of x = 500 = ) x = 2500 Correct 2500nswer: 2500
<result>A</result> | A | calc |
aqua_rat__t753Pp2fEPskpfQr | If the speed of X meters per minute is equivalent to the speed of Y kilometers per hour, what is Y in terms of X? (1 kilometer=1000 meters) Choose the correct choice from the following answers.
A) 0.06 B) 0.6 C) 6 D) 0.03 E) 0.3 | X meters per second --> --> 60X meter per hour(as there are 60 minute in one hour); --> 60X/1,000=kilometers per hour (as there are 1,000 meters in one kilometer). 0.06nswer: 0.06.
<result>A</result> | A | calc |
aqua_rat__MWmkd755HOVohdeo | A bill is discounted at 10% per annum. If banker's discount is allowed, at what rate percent should the proceeds be invested so that nothing will be lost?
Choose one
A) 91/9%
B) 100/9%
C) 11
D) 92/9%
E) None of these | Explanation : Let the amount = Rs.100 Then 100/9%D = Rs.10 (β΅ banker's discount, 100/9%D is the simple Interest on the face value of the bill for unexpired time and bill is discounted at 10% per annum) Proceeds = Rs.100 β Rs.10 = Rs.90 Hence we should get Rs.10 as the interest of Rs.90 for 1 year so that nothin... | B | calc |
ape210k__00332580 | The fruit shop ships 12 boxes each of apples and pears, each box of apples weighs 28 kg, and each box of pears weighs 32 kg. How many kilograms less apples are shipped than pears? | <gadget id="calculator">32 - 28</gadget>
<output>4</output>
<gadget id="calculator">4 * 12</gadget>
<output>48</output>
<result>48</result> | 48 | calc |
ape210k__01196993 | Calculation: 4*5+5*6+6*7+...+25*26+26*27=how much. | <gadget id="calculator">26 + 1</gadget>
<output>27</output>
<gadget id="calculator">2 * 26</gadget>
<output>52</output>
<gadget id="calculator">52 + 1</gadget>
<output>53</output>
<gadget id="calculator">53 / 6</gadget>
<output>53/6 = around 8.833333</output>
<gadget id="calculator">26 * 27 * (53/6)</gadget>
<outpu... | 6_532 | calc |
ape210k__00879011 | In the multiplication formula, if one factor is multiplied by 5 and the other factor is also multiplied by 5, what is the product? | <gadget id="calculator">5 * 5</gadget>
<output>25</output>
<result>25</result> | 25 | calc |
ape210k__00494457 | Use a piece of rectangular paper with a length of 10 decimeters and a width of 7 decimeters to cut out the largest square. The area of this square is larger than the area of the remaining figure by how many square centimeters. | <gadget id="calculator">7 * 7</gadget>
<output>49</output>
<gadget id="calculator">10 * 7</gadget>
<output>70</output>
<gadget id="calculator">70 - 49</gadget>
<output>21</output>
<gadget id="calculator">49 - 21</gadget>
<output>28</output>
<result>28</result> | 28 | calc |
ape210k__00571066 | The circumference of a circular flower bed is 25.12 meters, what is the diameter of the flower bed in meters. | <gadget id="calculator">25.12 / 3.14</gadget>
<output>8</output>
<result>8</result> | 8 | calc |
ape210k__00279173 | To make 200 sections of cylindrical drainage pipes with a length of 2 meters and a cross-sectional diameter of 20 centimeters for a new building, how many square meters of iron sheets are needed? | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">3.14 * (1/5) * 2 * 200</gadget>
<output>251.2</output>
<result>251.2</result> | 251.2 | calc |
ape210k__00799701 | The temperature in Beijing on a certain day is -5Β°C to ~6Β°C, what is the temperature difference in this day? | <gadget id="calculator">6 - (-5)</gadget>
<output>11</output>
<result>11</result> | 11 | calc |
ape210k__00437990 | The diameter of a circular flower bed is 6 meters. A path with a width of 1 meter is paved around the flower bed. What is the area of the path in square meters? | <gadget id="calculator">6 / 2</gadget>
<output>3</output>
<gadget id="calculator">3 + 1</gadget>
<output>4</output>
<gadget id="calculator">4 ** 2</gadget>
<output>16</output>
<gadget id="calculator">3.14 * 16</gadget>
<output>50.24</output>
<gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="ca... | 21.98 | calc |
aqua_rat__1ebVBkm6oZMIliMX | If x is the product of three consecutive positive integers, which of the following must be true?
I. x is an integer multiple of 3.
II. x is an integer multiple of 6
III. x is an integer multiple of 5 Pick one
A) a) I only B) b) II only C) c) I and II only D) d) I and III only E) e) I,II and III | The answer should be D i.e. X will be an integer and multiple of 3 and 6. Let us take example n, n+1, n+2 as 3 three consecutive positive integers. In a sequence of consecutive integers a number is multiple of 3 after every interval of 2 numbers i.e 3,4,5,6 Or 8,9,10,11,12 Hence in a product of 3 consecutive inte... | C | calc |
aqua_rat__EuQwh9lEzyo9xkj8 | In a local school district, the high school and middle school each received r dollars toward funding for the student arts program. The high school enrolled 500 students and the middle school enrolled 250 students. Later, the middle school transferred s dollars to the high school so that they would have received the sam... | Total per head = 2r/750 After s transfer both schools have total for head. So at High School it will be: r+s = (500)* (2r/750) = 20r/15=4r/3 i.e. s = 4r/3 - r/1 =4r-3r/3=r/3 Answer :r/3
<result>E</result> | E | calc |
aqua_rat__FzC29Fel3cp4WA0S | What are the two main types of access control lists (ACLs)? Choose the correct choice from the following choices: A) 1 and 3 B) 1 and 2 C) 2 and 1 D) 1 and 5 E) 1 and 9 | Explanation: Standard and extended access control lists (ACLs) are used to configure security on a router. 1 and 3nswer: Option 1 and 3
<result>A</result> | A | calc |
ape210k__00638273 | Knead three cylindrical plasticine with a base area of 12 square centimeters and a height of 5 centimeters into a cone of the same base size. What is the height of the cone in centimeters? | <gadget id="calculator">3 / 12</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">12 * 5 * 3 * (1/4)</gadget>
<output>45</output>
<result>45</result> | 45 | calc |
aqua_rat__CkoEkwPMKZGZv9Ch | How many litres of pure acid are there in 15 litres of a 20% solution Choose the correct option: A) 4 B) 5 C) 2 D) 3 E) 1 | Explanation:
Question of this type looks a bit typical, but it is too simple, as below... It will be 15 * 20/100=
<gadget id="calculator">15 * 20/100</gadget>
<output>3</output>
3 Answer: Option 3
<result>D</result> | D | calc |
aqua_rat__Wcru0IwT6GfXtQAp | In how many ways can the letters of the word EDUCATION be arranged? Answers.
A) 2580
B) 2500
C) 2000
D) 2520
E) 362880 | EDUCATION has 9 words. Thus ways = 9! = 362880 ways 362880
<result>E</result> | E | calc |
ape210k__00341765 | A train of passenger cars and a train of trucks depart from A to B at the same time. It takes 5 hours for the bus to complete the journey, and 7 hours for the truck to complete the journey. When the bus travels halfway, what fraction of the journey does the truck travel? | <gadget id="calculator">1 / 7</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/2) / (1/5)</gadget>
<output>5/2 = around 2.5</output>
<gadget id=... | 5/14 | calc |
ape210k__00007175 | If the radius of a circle is increased by 4 cm, how many cm does the circumference increase | <gadget id="calculator">2 + 4</gadget>
<output>6</output>
<gadget id="calculator">2 * 3.14 * 6</gadget>
<output>37.68</output>
<gadget id="calculator">2 * 3.14 * 2</gadget>
<output>12.56</output>
<gadget id="calculator">37.68 - 12.56</gadget>
<output>25.12</output>
<result>25.12</result> | 25.12 | calc |
math_qa__h1vKczCUlmGRtZdC | A company that ships boxes to a total of 12 distribution centers uses color coding to identify each center. If either a single color or a pair of two different colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors, what is the minimum number of colors n... | <gadget id="calculator">12 / 2</gadget>
<output>6</output>
<gadget id="calculator">6 - 1</gadget>
<output>5</output>
<gadget id="calculator">factorial(5)</gadget>
<output>120</output>
<gadget id="calculator">factorial(3)</gadget>
<output>6</output>
<gadget id="calculator">factorial(2)</gadget>
<output>2</output>
<... | B | calc |
ape210k__00401739 | A long-distance runner ran a total of 33 kilometers. He ran on flat roads for the first 3 hours, with an average of 5 kilometers per hour. Afterwards, he ran on mountainous terrain, with an average of 3 kilometers per hour. How many hours did he run on the mountainous terrain? | <gadget id="calculator">5 * 3</gadget>
<output>15</output>
<gadget id="calculator">33 - 15</gadget>
<output>18</output>
<gadget id="calculator">18 / 3</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__00588563 | Xiao Ming bought a schoolbag for 45 yuan and a pencil case for 15 yuan. If you pay the salesperson 100 yuan, how much should you get back? | <gadget id="calculator">45 + 15</gadget>
<output>60</output>
<gadget id="calculator">100 - 60</gadget>
<output>40</output>
<result>40</result> | 40 | calc |
aqua_rat__9DeeAEaPXItVCY3M | Machine A and machine W are each used to manufacture 660 sprockets. It takes machine A 10 hours longer to produce 660 sprockets than machine W. Machine W produces 10 percent more sprockets per hour than machine A. How many sprockets per hour does machine A produces? Choose one: A) 6 B) 6.6 C) 60 D) 100 E) 110 | [Reveal]Spoiler: TimeW: 660/x Time6: [660/x+10] 660/x = [660/x+10] *110/100 660/x =66*11/x+10 660x+10= 66*11*x 660x +6600 = 66*11*x x= 100 plug in back to time6 660/100+10 => 660/110=
<gadget id="calculator">660/110</gadget>
<output>6</output>
6=6
<result>A</result> | A | calc |
ape210k__00834187 | After the price of a coat has decreased by 20%, it has increased by 8 yuan, and the price at this time is 80 yuan. How much is the original price of this coat? | <gadget id="calculator">80 - 8</gadget>
<output>72</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">72 / (4/5)</gadget>
<output>90</output>
<result>90</result> | 90 | calc |
aqua_rat__ZvUYhrLzDWtFr2wp | The ratio of men to women in the Snyder community choir is 4 to 5. The ratio of men to women in the Leigh community choir is 5 to 6. If the two choirs merged, the ratio of men to women in the combined choir would be 22 to 27. If Snyder has 4 more men and 6 more women than Leigh, how many men's are in the Snyder choir?
... | This question has a number of patterns in it that we can take advantage of. We can also TEST THE ANSWERS (but we can actually eliminate most of the answer choices rather quickly. We're told that the ratio of the Men to Women in the Snyder choir is 4 to 5, so the number of men MUST be a multiple of 4 and the number of... | A | calc |
ape210k__00389716 | A map with a scale of 1:9,000,000 measures 8 centimeters from Beijing to Shanghai. A train travels from Shanghai to Beijing and travels 240 kilometers in 2 hours. At this speed, how many hours does it take to travel from Shanghai to Beijing? | <gadget id="calculator">1 / 9_000_000</gadget>
<output>1/9_000_000 = around 0</output>
<gadget id="calculator">240 / 2</gadget>
<output>120</output>
<gadget id="calculator">8 / (1/9_000_000) / 100_000 / 120</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__00507293 | 4.5 times of a number is 6.9 more than 5.7, find this number. (solution by equation) | <gadget id="calculator">6.9 + 5.7</gadget>
<output>12.6</output>
<gadget id="calculator">12.6 / 4.5</gadget>
<output>2.8</output>
<result>2.8</result> | 2.8 | calc |
ape210k__00053347 | There is a square broad-leaved forest with a side length of 10 meters. If 1 square meter of broad-leaved forest can produce 75 grams of oxygen per day, how many grams of oxygen can this broad-leaved forest produce per day? | <gadget id="calculator">10 * 10 * 75</gadget>
<output>7_500</output>
<result>7_500</result> | 7_500 | calc |
ape210k__00410254 | A conical cylindrical pool and a cylindrical pool are measured from the inside to have the same bottom and height. Use a water pump to fill the cylindrical pool with water and fill the pool in 15 minutes. How many minutes will it take to fill a conical pool with water using this pump with the same efficiency? | <gadget id="calculator">3 / 1</gadget>
<output>3</output>
<gadget id="calculator">15 / 3</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
ape210k__00649073 | The ratio of A to B is 3:4, how much is A to B? | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<result>3/4 = around 0.75</result> | 3/4 | calc |
ape210k__00042429 | Sanchahe Town holds a basketball games for elementary school teachers. Each school forms a team, and every two teams play one game. How many games will the 13 schools in Group B play in total? | <gadget id="calculator">13 - 1</gadget>
<output>12</output>
<gadget id="calculator">12 / 2</gadget>
<output>6</output>
<gadget id="calculator">13 * 6</gadget>
<output>78</output>
<result>78</result> | 78 | calc |
aqua_rat__uEt1wufAQ4skrrpJ | Average of 5 numbers is zero. At most how many numbers may be greater than zero Choices: A) 0 B) 4 C) 5 D) 9 E) 10 | Answer: Option 4
<result>B</result> | B | calc |
ape210k__01040055 | The average score of Xiaohong's three exams is 92 points. It is known that the first score is 90 points, and the second score is 94. What is her third score. | <gadget id="calculator">92 * 3</gadget>
<output>276</output>
<gadget id="calculator">90 + 94</gadget>
<output>184</output>
<gadget id="calculator">276 - 184</gadget>
<output>92</output>
<result>92</result> | 92 | calc |
ape210k__01063349 | There is a rectangular fish pond with a length of 52 meters. In order to expand the water surface, the length has been increased by 8 meters, and the area has increased by 320 square meters. What was the original area of the fish pond? | <gadget id="calculator">320 / 8</gadget>
<output>40</output>
<gadget id="calculator">52 * 40</gadget>
<output>2_080</output>
<result>2_080</result> | 2_080 | calc |
ape210k__00414853 | 3 tons of coal are removed from a pile of coal, and 4 tons are left, how much of the pile of coal is removed. | <gadget id="calculator">3 + 4</gadget>
<output>7</output>
<gadget id="calculator">3 / 7</gadget>
<output>3/7 = around 0.428571</output>
<result>3/7 = around 0.428571</result> | 3/7 | calc |
ape210k__00249410 | The children go on an outing and walk in 5 columns, with the same number of people in each row. Counting from the front, Xiaolan ranks third, and counting from the back, Xiaolan ranks fifth. Count how many people went for the outing? | <gadget id="calculator">5 - 1</gadget>
<output>4</output>
<gadget id="calculator">3 + 4</gadget>
<output>7</output>
<gadget id="calculator">7 * 5</gadget>
<output>35</output>
<result>35</result> | 35 | calc |
ape210k__00416967 | It takes Xiao Ming 48 seconds to climb from the first floor to the fourth floor in a building without a raised floor. How many seconds does it take to climb from the first floor to the eighth floor at the same speed? | <gadget id="calculator">4 - 1</gadget>
<output>3</output>
<gadget id="calculator">48 / 3</gadget>
<output>16</output>
<gadget id="calculator">8 - 1</gadget>
<output>7</output>
<gadget id="calculator">16 * 7</gadget>
<output>112</output>
<result>112</result> | 112 | calc |
ape210k__00627720 | A road is 100 meters long, and a sycamore tree is planted every 10 meters from the beginning to the end. How many trees are planted in total? | <gadget id="calculator">100 / 10</gadget>
<output>10</output>
<gadget id="calculator">10 + 1</gadget>
<output>11</output>
<result>11</result> | 11 | calc |
ape210k__00507102 | A book has 144 pages. Xiao Ming read the whole book (2/9) on the first day, and the rest (3/8) on the second day. How many pages should he read on the third day? | <gadget id="calculator">2 / 9</gadget>
<output>2/9 = around 0.222222</output>
<gadget id="calculator">144 * (2/9)</gadget>
<output>32</output>
<gadget id="calculator">144 - 32</gadget>
<output>112</output>
<gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">112 * (3/8)... | 75 | calc |
aqua_rat__hbQBD2ppkfGyREBd | Two dice are rolled. What is the probability that the sum on the top face of both the dice will be greater than 9? Choose one.
A) 3/8 B) 2/3 C) 1/2 D) 1/3 E) 1/6 | Total number of outcomes possible when a die is rolled = 6 (β΅ any one face out of the 6 faces) Hence, total number of outcomes possible two dice are rolled, n(S) = 6 Γ 6 = 36 1/6 = Getting a sum greater than 9 when the two dice are rolled = {(4, 6), {5, 5}, {5, 6}, {6, 4}, {6, 5}, (6, 6)} Hence, n(1/6) = 6 P(1/... | E | calc |
ape210k__00305705 | 25*201-25οΌ | <gadget id="calculator">25 * 201</gadget>
<output>5_025</output>
<gadget id="calculator">5_025 - 25</gadget>
<output>5_000</output>
<result>5_000</result> | 5_000 | calc |
aqua_rat__Ycf5Z77130H5OIQq | If 36 men can do a piece of work in 25 hours, in how many hours will 12 men
do it ?
Choose the most appropriate option:
A) 65 hours B) 75 hours C) 30 hours D) 62 hours E) 66 hours | Let the required number of hours be x. Then, Less men, More hours (Indirect Proportion) 12 : 36 : : 25 : x ο³(12 x x) = (36 x 25) ο³(36 x 25)/12 = 75 Hence, 15 men can do it in 60 hours. Answer is 75 hours.
<result>B</result> | B | calc |
ape210k__00572206 | How many zeros are there at the end of the product of 150*4? | <result>0</result> | 0 | calc |
aqua_rat__xjSYhEPDmaD6KqXY | Set X consists of 5 integers and has median of 20 and a range of 20. What is the value of the greatest possible integer that can be present in the set? Choose the correct option
A) 20 B) 37 C) C.40 D) 43 E) 50 | Note that both median and range do not restrict too many numbers in the set. Range is only concerned with the smallest and greatest. Median only cares about the middle. Quick check of each option starting from the largest: (E) 50 Range of 20 means the smallest integer will be 30. So 20 cannot lie in between and h... | A | calc |
math_qa__ZOLXuYbsRImobaCG | How much time will a train of length 280 m moving at a speed of 72 kmph take to cross another train of length 360 m, moving at 36 kmph in the same direction? Choose the correct option:
A) 50
B) 99
C) 64
D) 76
E) 12 | <gadget id="calculator">280 + 360</gadget>
<output>640</output>
<gadget id="calculator">72 - 36</gadget>
<output>36</output>
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">36 * (5/18)</gadget>
<output>10</output>
<gadget id="calculator">640 / 10</gadget>
<ou... | C | calc |
ape210k__00279527 | 1.7 square decimeters = how many square centimeters. | <gadget id="calculator">1.7 * 100</gadget>
<output>170</output>
<result>170</result> | 170 | calc |
ape210k__00537585 | After sawing a cylindrical steel ingot with a length of 5 meters into two parts, the surface area increases by 25.12 square decimeters. What is the volume of this steel ingot in cubic decimeters? | <gadget id="calculator">25.12 / 2</gadget>
<output>12.56</output>
<gadget id="calculator">5 * 10</gadget>
<output>50</output>
<gadget id="calculator">12.56 * 50</gadget>
<output>628</output>
<result>628</result> | 628 | calc |
ape210k__00171075 | Cut a cuboid block with a square cross section into the largest cylinder. The surface area of this cylinder is 32.97 square centimeters. The ratio of its height to the diameter of the bottom surface is 3:1. Find the surface area of the original cuboid block. | <gadget id="calculator">14 * 3</gadget>
<output>42</output>
<result>42</result> | 42 | calc |
ape210k__01224445 | Two circles have areas of 24 square centimeters and 31 square centimeters respectively, and the area of the overlapped part of the two circles is 43 square centimeters. Find the area of the overlapping part. | <gadget id="calculator">31 - 43</gadget>
<output>-12</output>
<gadget id="calculator">24 + (-12)</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
aqua_rat__Xk65wghekO8WUw6G | Given that a β6-inch pizzaβ means circular pizza with a diameter of 12 inches, changing from an 4-inch pizza to a 6-inch pizza gives you approximately what percent increase in the total amount of pizza? Choose the most appropriate option
A) 33
B) 50
C) 67
D) 80
E) 125 | area of 4 inch pizza= 2*2*pi=4 pi area of 6 inch pizza =3*3*pi=9 pi 5/4*100=
<gadget id="calculator">5/4*100</gadget>
<output>125</output>
125% increase hence answer is 125
<result>E</result> | E | calc |
ape210k__01045329 | Mr. Zhang bought a football for 33 yuan and a basketball for 39 yuan with 100 yuan. How much should the salesperson give Mr. Zhang? | <gadget id="calculator">33 + 39</gadget>
<output>72</output>
<gadget id="calculator">100 - 72</gadget>
<output>28</output>
<result>28</result> | 28 | calc |
aqua_rat__JVaNJdXTYve1llHa | What is the next number in the series?
1,5,9,13... Pick one:
A) 19 B) 17 C) 24 D) 25 E) 28 | Adding (0,2,4,6,8,10) to the odd numbers 1+0=
<gadget id="calculator"> 1+0</gadget>
<output>1</output>
1 3+2=
<gadget id="calculator">3+2</gadget>
<output>5</output>
5 5+4=
<gadget id="calculator">5+4</gadget>
<output>9</output>
9 7+6=
<gadget id="calculator">7+6</gadget>
<output>13</output>
13 9+8=
<ga... | B | calc |
ape210k__00178654 | In a subtraction formula, the sum of the minuend, the subtrahend, and the difference is 120, and the difference is 3 times the subtrahend. So how much is the difference. | <gadget id="calculator">120 / 2</gadget>
<output>60</output>
<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">60 * (3/4)</gadget>
<output>45</output>
<result>45</result> | 45 | calc |
ape210k__01214091 | In an isosceles triangle, the measure ratio of the top angle to the base angle is 5:2, what is the base angle? | <gadget id="calculator">5 + 2 + 2</gadget>
<output>9</output>
<gadget id="calculator">2 / 9</gadget>
<output>2/9 = around 0.222222</output>
<gadget id="calculator">180 * (2/9)</gadget>
<output>40</output>
<result>40</result> | 40 | calc |
ape210k__00626433 | A book with 36 pages, I read (2/9) on the first day, and 6 pages on the second day, which page should I start reading on the third day? ? | <gadget id="calculator">2 / 9</gadget>
<output>2/9 = around 0.222222</output>
<gadget id="calculator">36 * (2/9)</gadget>
<output>8</output>
<gadget id="calculator">8 + 6 + 1</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
ape210k__00458612 | The library bought back a batch of books. Each shelf can hold 150 books. There are 12 bookshelves, and there are still 520 books that have not been put in. How many books did the school buy back in total? | <gadget id="calculator">150 * 12</gadget>
<output>1_800</output>
<gadget id="calculator">1_800 + 520</gadget>
<output>2_320</output>
<result>2_320</result> | 2_320 | calc |
aqua_rat__zmL7dgAxaHv5DH1E | Last Sunday a certain store sold copies of Newspaper A for $1.00 each and copies of Newspaper B for $1.25 each, and the store sold no other newspapers that day. If r percent of the store's revenues from newspapers sales was from Newspaper A and if k percent of the newspapers that the store sold were copies of Newspaper... | I have just started with qunats section .. I solved this by making two equations and got the answer ... However it was long way of doing it ... I got the answer as : 100k /(125 - .25 k)... Multiply this equation by 4 and you get 400k / (500 - k) as the answer ,...
<result>D</result> | D | calc |
ape210k__00071195 | Huanhuan ran 3 laps along a rectangular flower bed with a difference of 10 meters in length and width, and ran a total of 480 meters. What is the area of the flower bed in square meters? | <gadget id="calculator">480 / 3 / 2</gadget>
<output>80</output>
<gadget id="calculator">80 - 10</gadget>
<output>70</output>
<gadget id="calculator">70 / 2</gadget>
<output>35</output>
<gadget id="calculator">35 + 10</gadget>
<output>45</output>
<gadget id="calculator">45 * 35</gadget>
<output>1_575</output>
<res... | 1_575 | calc |
ape210k__00596473 | Calculation: 1110/(56*((3/7)-(3/8))). | <gadget id="calculator">3 / 7</gadget>
<output>3/7 = around 0.428571</output>
<gadget id="calculator">3 / 8</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">(3/7) - (3/8)</gadget>
<output>3/56 = around 0.053571</output>
<gadget id="calculator">56 * (3/56)</gadget>
<output>3</output>
<gadget id="... | 370 | calc |
ape210k__01147487 | When arranging the classroom, a rectangular cardboard with a length of 36 cm and a width of 27 cm should be cut into several square cards of the same size. Square cards? | <gadget id="calculator">3 * 3</gadget>
<output>9</output>
<gadget id="calculator">36 / 9</gadget>
<output>4</output>
<gadget id="calculator">27 / 9</gadget>
<output>3</output>
<gadget id="calculator">4 * 3</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
aqua_rat__1gAhiC4mNir6wD39 | Three candidates contested an election and received 5136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate got Choose the correct choice from the following answers: A) 55% B) 56% C) 47.6% D) 58% E) 59% | Explanation: Total number of votes polled = (5136 + 7636 + 11628)=
<gadget id="calculator">(5136 + 7636 + 11628)</gadget>
<output>24_400</output>
24400 So, Required percentage= 11628/24400 * 100 = 47.6% Answer: Option 47.6%
<result>C</result> | C | calc |
ape210k__00585120 | Two people, A and B, start from two places ab at the same time on their bicycles, and they go towards each other. When they meet, they are 360 meters away from the midpoint. It is known that A's speed is B's (5/8). Find the distance between a and b in meters? | <gadget id="calculator">360 * 2</gadget>
<output>720</output>
<gadget id="calculator">5 + 8</gadget>
<output>13</output>
<gadget id="calculator">8 / 13</gadget>
<output>8/13 = around 0.615385</output>
<gadget id="calculator">5 / 13</gadget>
<output>5/13 = around 0.384615</output>
<gadget id="calculator">(8/13) - (5... | 3_120 | calc |
ape210k__00755087 | Teacher Hu of Class 5 and 4 awarded 37 pens and 41 exercise books to the "three good students" on average. As a result, there were 2 more pens and one less exercise book. How many "three good students" are there at most? | <result>7</result> | 7 | calc |
aqua_rat__2iW49UVZ8KQnPhLr | What is the are of an equilateral triangle of side 8 cm? Answers.
A) 64β5 B) 64β9 C) 16β3 D) 64β3 E) 64β2 | Area of an equilateral triangle = β3/4 S2 If S = 8, Area of triangle = β3/4 * 8 * 8 = 16β3 cm2; Answer: 16β3
<result>C</result> | C | calc |
ape210k__00353921 | For a book, Xiaohong read 35% of the whole book on the first day, and 45% of the whole book on the second day. If the book has 150 pages, which page should Xiaohong start reading on the third day? | <gadget id="calculator">45 / 100</gadget>
<output>9/20 = around 0.45</output>
<gadget id="calculator">35 / 100</gadget>
<output>7/20 = around 0.35</output>
<gadget id="calculator">(9/20) + (7/20)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">150 * (4/5)</gadget>
<output>120</output>
<gadget id=... | 121 | calc |
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