id stringlengths 17 26 | question stringlengths 7 712 | chain stringlengths 18 2.56k | result stringlengths 1 19 | source stringclasses 1
value |
|---|---|---|---|---|
aqua_rat__xT9HQLnjW0RkedUx | If p and r are integers, and p^2 = 36r, then r must be divisible by which of the following?
Answers: A) 2 B) 4 C) 9 D) 7 E) 14 | Ans: D Solution: for p to be an int 36 r must be whole square of a number. 36r= 9*2*2*r to make it whole square we need 9 so r can must be divisible by 9y where y is itself a whole square. so 9 is the ans
<result>C</result> | C | calc |
ape210k__00335187 | There are 234 pots of peonies in the park, which is three times that of chrysanthemums, and the number of pots of rose flowers is twice that of chrysanthemums. How many pots of roses are there in the park? | <gadget id="calculator">234 / 3</gadget>
<output>78</output>
<gadget id="calculator">78 * 2</gadget>
<output>156</output>
<result>156</result> | 156 | calc |
ape210k__00325332 | bus full of passengers departs from City A. When it passes Xinnong Station, (1/3) of the passengers get off and 5 passengers get on at the same time. At this time, the number of passengers on the bus is 75% of the original number. How many passengers were there in the car? | <gadget id="calculator">75 / 100</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 - (1/3)</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(3/4) - (2/3)</gadget>
<output>1/12 = around 0.083333</o... | 60 | calc |
ape210k__00783051 | A train travels 120 kilometers in one hour, departs from A at 1:10 pm, and arrives at B at 8:10 pm. What is the distance in kilometers between A and B? | <gadget id="calculator">120 * 7</gadget>
<output>840</output>
<result>840</result> | 840 | calc |
math_qa__6jVU4hJLb3DJy20i | If the area of a circle decreases by 25%, then the radius of a circle decreases by
Select
A) 13 % B) 18 % C) 36 % D) 64 % E) none of these | <gadget id="calculator">100 - 25</gadget>
<output>75</output>
<gadget id="calculator">75 / 100</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(3/4) ** (1/2)</gadget>
<output>sqrt(3)/2 = around 0.866025</output>
<gadget id="calculator">1 - (sqrt(3)/2)</gadget>
<output>1 - sqrt(3)/2 = around 0.133... | A | calc |
ape210k__00179421 | A worm crawls from point A to point B. If its speed increases by 1 meter per minute, it can arrive 10 minutes earlier; if its speed increases by 2 meters, it can arrive 10 minutes earlier. What is the distance between A and B in meters? | <gadget id="calculator">3 * 40</gadget>
<output>120</output>
<result>120</result> | 120 | calc |
math_qa__zyhed0kehGJL48Eh | The length of a rectangle is double its width. If the length is diminished by 5cm and the width is increased by 5cm then its area is increased by 75cm square. What is the length of the rectangle? Select:
A) 20 B) 30 C) 40 D) 56 E) 65 | <gadget id="calculator">5 * 5</gadget>
<output>25</output>
<gadget id="calculator">25 + 75</gadget>
<output>100</output>
<gadget id="calculator">100 / 5</gadget>
<output>20</output>
<gadget id="calculator">2 * 20</gadget>
<output>40</output>
<result>C</result> | C | calc |
ape210k__00578643 | If the ratio of the degrees of the three interior angles of a triangle is 4:3:2, what is the largest interior angle of the triangle? | <gadget id="calculator">2 + 3 + 4</gadget>
<output>9</output>
<gadget id="calculator">4 / 9</gadget>
<output>4/9 = around 0.444444</output>
<gadget id="calculator">180 * (4/9)</gadget>
<output>80</output>
<result>80</result> | 80 | calc |
ape210k__00172575 | In a division formula, the product of the divisor and the quotient is added to the dividend, and the result is 32.6. What is the dividend in this formula? | <gadget id="calculator">32.6 / 2</gadget>
<output>16.3</output>
<result>16.3</result> | 16.3 | calc |
ape210k__00965899 | Xiao Wang deposits 6,000 yuan in the bank for two years, with an annual interest rate of 3.75%. How much money can Xiao Wang get back when it expires? | <gadget id="calculator">3.75 / 100</gadget>
<output>0.0375</output>
<gadget id="calculator">6_000 * 0.0375 * 2</gadget>
<output>450</output>
<gadget id="calculator">6_000 + 450</gadget>
<output>6_450</output>
<result>6_450</result> | 6_450 | calc |
ape210k__01020185 | A rectangular test field with a length of 500 meters and a width of 300 meters can harvest 10 tons of wheat per hectare. How many tons of wheat can be harvested in total in this test field? | <gadget id="calculator">300 / 10_000</gadget>
<output>3/100 = around 0.03</output>
<gadget id="calculator">500 * (3/100) * 10</gadget>
<output>150</output>
<result>150</result> | 150 | calc |
aqua_rat__aD07XIWjLBSqzocA | A box contains 1 red balls and 5 black balls. One by one, every ball is selected at random without replacement. What is the probability that the fourth ball selected is black? Choices:
A) 1/4 B) 1/2 C) 1/2 D) 5/8 E) 2/3 | My complicated version of your simple approach Let the 5 black balls be BBBBB and 1 Red Balls be R They can be arranged in 6 slots _ _ _ _ _ _ _ _ in (6!)/ (5!x1!) If the fourth slot is Black ball then the arrangement will be to fill _ _ _ B _ _ _ _ we have 5 slots and 4 Black (BBBB) and 1 Red (R) They ca... | C | calc |
ape210k__00008712 | ((0.3+0.03+0.003+…)/(0.6+0.06+0.006+…)). | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(1/3) / (2/3)</gadget>
<output>1/2 = around 0.5</output>
<result>1/2 = around 0.5</result> | 1/2 | calc |
ape210k__00661795 | The fruit shop shipped 12 baskets of oranges and 12 baskets of apples, weighing a total of 300 kg. Each basket of oranges weighs 10 kg, how much does each basket of apples weigh? (solution by equation) | <gadget id="calculator">10 * 12</gadget>
<output>120</output>
<gadget id="calculator">300 - 120</gadget>
<output>180</output>
<gadget id="calculator">180 / 12</gadget>
<output>15</output>
<result>15</result> | 15 | calc |
aqua_rat__Iwrtig5ADemI0UAJ | How many seconds will a 600 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr? Pick one.
A) 36 sec B) 30 sec C) 13 sec D) 19 sec E) 12 sec | Speed of train relative to man = 63 - 3=
<gadget id="calculator">63 - 3</gadget>
<output>60</output>
60 km/hr.= 60 * 5/18 = 50/3 m/sec. Time taken to pass the man = 600 * 3/50=
<gadget id="calculator">600 * 3/50</gadget>
<output>36</output>
36 sec. 36 secnswer:36 sec
<result>A</result> | A | calc |
ape210k__00055439 | A, B, and C go to buy books. B buys 3 more books than A (3/7), and C buys 1 less than A (2/5). So, how many books did the three of them buy together at least? | <gadget id="calculator">3 / 7</gadget>
<output>3/7 = around 0.428571</output>
<gadget id="calculator">35 * (3/7)</gadget>
<output>15</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">35 * (2/5)</gadget>
<output>14</output>
<gadget id="calculator">14 - 1</gadge... | 66 | calc |
aqua_rat__elz0PogycC0JEz4T | How many positive integers will divide evenly into 420?
Choose one
A) 8 B) 12 C) 16 D) 18 E) 20 | 520 = 10*13*4 = 8*5*13 = 2^3*5*13 We need to positive integers will divide evenly into 520 or simply the factors of 520 If a number is of the form 2^a*3^b*5^c, Total factors = (a+1)(b+1)(c+1) Therefore, number of factors of 520 = (3+1)*(1+1)*(1+1) = 4*2*2 = 12 Option C12
<result>B</result> | B | calc |
aqua_rat__HiPWK1PwAdDXtrPO | There are two decks of 10 cards each. The cards in each deck are labeled with integers from 10 to 20 inclusive. If we pick a card from each deck at random, what is the probability that the product of the numbers on the picked cards is a multiple of 6? Choose the correct choice from the following answers
A) 0.23 B) 0.36... | If 6 is a multiple, we need 2 and 3 as a factor of the number. If we factor the numbers 11 through 20 we have: 11 = 11 12 = 2*2*3 13 = 13 14 = 7*2 15 = 5*3 16 = 2*2*2 17 = 17 18 = 3*2*3 19 = 19 20 = 5*2*2 0.4ombos that have a 2 and a 3 as factors (first + second card): 12 + anything - 19 of thes... | C | calc |
ape210k__00382926 | Xiaodong bought two shuttlecocks, 80 cents and 5 cents each, leaving 7 cents and 2 cents. How much money does Xiaodong have in total? | <gadget id="calculator">0.85 * 2</gadget>
<output>1.7</output>
<gadget id="calculator">1.7 + 0.72</gadget>
<output>2.42</output>
<result>2.42</result> | 2.42 | calc |
ape210k__00557507 | When two numbers are divided, the quotient is 35 and the remainder is 38. If the sum of the dividend, divisor, quotient and remainder is 2163, what is the dividend? | <gadget id="calculator">2_163 - 38 - 35 - 38</gadget>
<output>2_052</output>
<gadget id="calculator">35 + 1</gadget>
<output>36</output>
<gadget id="calculator">2_052 / 36</gadget>
<output>57</output>
<gadget id="calculator">35 * 57</gadget>
<output>1_995</output>
<gadget id="calculator">1_995 + 38</gadget>
<output... | 2_033 | calc |
ape210k__00006097 | It is known that the distance between two stations A and B is 470 kilometers. One train departs from Station A at 1:00 noon and travels 52 kilometers per hour. The other train departs from Station B at 2:30 p.m. meet. Question: What is the speed of the train leaving from station B in kilometers per hour? | <gadget id="calculator">6 - 1</gadget>
<output>5</output>
<gadget id="calculator">52 * 5</gadget>
<output>260</output>
<gadget id="calculator">470 - 260</gadget>
<output>210</output>
<gadget id="calculator">18 - 14.5</gadget>
<output>3.5</output>
<gadget id="calculator">210 / 3.5</gadget>
<output>60</output>
<resu... | 60 | calc |
ape210k__01007465 | (1/7)*36%+36%*(6/7); 24%*((1/4)+(1/3)) | <gadget id="calculator">24 / 100</gadget>
<output>6/25 = around 0.24</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/4) + (1/3)</gadget>
<output>7/12 = around 0.583333</output>
... | 7/50 | calc |
aqua_rat__2vCEGFEjeRhkSJxr | The radius of a wheel is 22.4 cm. What is the distance covered by the wheel in making 500 resolutions? Choose the correct choice from the following options:
A) 754 m
B) 704 m
C) 708 m
D) 706 m
E) 204 m | In one resolution, the distance covered by the wheel is its own circumference. Distance covered in 500 resolutions. = 500 * 2 * 22/7 * 22.4=
<gadget id="calculator">500 * 2 * 22/7 * 22.4</gadget>
<output>70_400</output>
70400 cm= 704 m Answer:704 m
<result>B</result> | B | calc |
aqua_rat__5no5TnBKIhC80vyV | GOOD is coded as 164 then BAD coded as 21.if ugly coded as 260 then ADD?
Choices:
A) 20
B) 30
C) 29
D) 27
E) 28 | GOOD=(7+15+15+4)*4=
<gadget id="calculator">(7+15+15+4)*4</gadget>
<output>164</output>
164 BAD= (2+1+4)*3=
<gadget id="calculator">(2+1+4)*3</gadget>
<output>21</output>
21 UGLY= (21+7+12+25)*4=
<gadget id="calculator">(21+7+12+25)*4</gadget>
<output>260</output>
260 coding follows (sum of position of alpha... | D | calc |
ape210k__00392416 | There are 98 pages in a story book, and you read x pages every day on average. After reading it for 6 days, how many pages are left? | <gadget id="calculator">98 - 6</gadget>
<output>92</output>
<result>92</result> | 92 | calc |
aqua_rat__7ZfOZywITXPmjSsR | A full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet. Oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck's tank is completely filled. If the truck's tank has a radius of 4 feet and a height of ... | The volume of oil pumped to the tank = The volume of oil taken away from stationary cylinder. pi*16*10 = pi*h*100*100 (h is distance that the oil level dropped) h = 160/10,000 = 16/1000=
<gadget id="calculator">16/1000</gadget>
<output>2/125 = around 0.016</output>
0.016 ft The answer is 0.016.
<result>E</result... | E | calc |
aqua_rat__ofGL8yV3zEwDhglf | 8 men can do a piece of work in 12 days. 4 women can do it in 48 days and 10 children can do it in 24 days. In how many days can 10 men, 4 women and 30 children together complete the piece of work? Select
A) 5 days B) 15 days C) 28 days D) 4 days E) 7 days | Explanation: 1 man’s 1 day’s work = 1/8 × 12 = 1/96 10 men’s 1 day’s work = 1 × 10/96 = 5/48 1 woman’s 1 day’s work = 1/192 4 women’s 1 day’s work = 1/192 × 4 = 1/48 1 child’s 1 day’s work = 1/240 30 children’s 1 day’s work = 1/8 Therefore, (10 men + 4 women + 30 children)’s 1 day’s work = 5/48 + 1/48 + 1... | D | calc |
ape210k__00472961 | The two right-angled sides of a right-angled triangle are 15cm and 20cm, respectively, and the 15cm-long right-angled side is rotated once as the axis. What is the volume of the obtained figure in cubic centimeters? | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">20 ** 2</gadget>
<output>400</output>
<gadget id="calculator">(1/3) * 3.14 * 400 * 15</gadget>
<output>6_280</output>
<result>6_280</result> | 6_280 | calc |
ape210k__00374769 | If the ratio of male to female students is 5:6, the number of female students is less than that of the whole class ((())/(())). | <gadget id="calculator">5 + 6</gadget>
<output>11</output>
<gadget id="calculator">5 / 11</gadget>
<output>5/11 = around 0.454545</output>
<result>5/11 = around 0.454545</result> | 5/11 | calc |
math_qa__H32Yn6ITOrigR4mc | The cricket team of 11members is 26yrs old & the wicket keeper is 3 yrs older. If the ages ofthese 2are excluded, the average age of theremaining players is 1 year less than the average age of the whole team. What is the average age of the team ?
Choose the correct choice from the following answers: A) 18 B) 21 C) 23 D... | <gadget id="calculator">26 + 3</gadget>
<output>29</output>
<gadget id="calculator">29 + 26</gadget>
<output>55</output>
<gadget id="calculator">11 - 2</gadget>
<output>9</output>
<gadget id="calculator">55 - 9</gadget>
<output>46</output>
<gadget id="calculator">11 - 9</gadget>
<output>2</output>
<gadget id="calc... | C | calc |
ape210k__00235671 | If Xiao Ming walks 50 meters per minute from home to school, he will be 6 minutes late, and if he walks 80 meters per minute, he will be 3 minutes early. How many meters does Xiao Ming have to walk from home to school? | <gadget id="calculator">300 + 480</gadget>
<output>780</output>
<gadget id="calculator">780 / 30</gadget>
<output>26</output>
<gadget id="calculator">26 + 6</gadget>
<output>32</output>
<gadget id="calculator">50 * 32</gadget>
<output>1_600</output>
<result>1_600</result> | 1_600 | calc |
ape210k__00182970 | The Xishuangbanna Circus performed in "Happy Valley", and the elephants lined up to enter the arena. The elephant's feet were more than the sum of their nose and tail. How many elephants are there in total? | <gadget id="calculator">4 - 1 - 1</gadget>
<output>2</output>
<gadget id="calculator">10 / 2</gadget>
<output>5</output>
<result>5</result> | 5 | calc |
ape210k__00231317 | There are 180 grams of salt water with a concentration of 2% in container A, and several grams of salt water with a concentration of 9% in container B. Take 240 grams of salt water from B and pour it into A. At this time, the amount of salt in both containers A and B equal. How many grams of the original salt water in ... | <gadget id="calculator">2 / 100</gadget>
<output>1/50 = around 0.02</output>
<gadget id="calculator">180 * (1/50)</gadget>
<output>18/5 = around 3.6</output>
<gadget id="calculator">9 / 100</gadget>
<output>9/100 = around 0.09</output>
<gadget id="calculator">240 * (9/100)</gadget>
<output>108/5 = around 21.6</outpu... | 520 | calc |
ape210k__00223632 | Xiao Ming planted colorful flags around the playground. At the beginning, he inserted one every 4 meters. After 11, he found that the colorful flags were not enough, so he decided to reinsert them and changed to one every 5 meters. When replugging, how many colored flags do not need to be unplugged and replugged? | <gadget id="calculator">11 - 1</gadget>
<output>10</output>
<gadget id="calculator">10 / 20</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">4 * (1/2)</gadget>
<output>2</output>
<gadget id="calculator">2 + 1</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
aqua_rat__Kv4mSlWMlvfTUQfZ | 9. On level farmland, two runners leave at the same time from the intersection of two country roads. One runner jogs due north at a constant rate of 8 miles per hour while the second runner jogs due east at a constant rate that is 8 miles per hour faster than the first runner's rate. How far apart, to the nearest mile,... | If runner 1 is going north and runner 2 is going east they are like two sides of a 90 degree triangle. Side 1 = 8 m/h --> 4 m in 1/2 hr Side 2 = 16 m/h --> 8 m in 1/2 hr to complete this right angle triangle d^2 = 4^2 + 8^2 d^2 = 80 = ~ 9 Answer option 9
<result>E</result> | E | calc |
aqua_rat__QOlDonTQ4CvyuPcD | The average of first 10 prime numbers is? Options.
A) 10.11 B) 12.9 C) 12.11 D) 13.11 E) 14.11 | Sum of 10 prime no. = 129 Average = 129/10=
<gadget id="calculator">129/10</gadget>
<output>129/10 = around 12.9</output>
12.9 Answer : 12.9
<result>B</result> | B | calc |
ape210k__00176137 | The garment factory tried to make a batch of garments. It has been done for 5 days, with an average of 75 sets per day. The rest needs to be completed in 3 days, with an average of 95 sets per day. In this way, how many sets are produced on average per day for this batch of garments? | <gadget id="calculator">75 * 5</gadget>
<output>375</output>
<gadget id="calculator">95 * 3</gadget>
<output>285</output>
<gadget id="calculator">375 + 285</gadget>
<output>660</output>
<gadget id="calculator">5 + 3</gadget>
<output>8</output>
<gadget id="calculator">660 / 8</gadget>
<output>165/2 = around 82.5</ou... | 165/2 | calc |
ape210k__01127331 | Calculation: (2/(1*7))+(2/(7*13))+(2/(13*19))+…+(2/(145*151)). | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 / 151</gadget>
<output>1/151 = around 0.006623</output>
<gadget id="calculator">1 - (1/151)</gadget>
<output>150/151 = around 0.993377</output>
<gadget id="calculator">(1/3) * (150/151)</gadget>
<output>50/151 = a... | 50/151 | calc |
math_qa__vnZt1iOf98iw6CYs | If 15% of 30% of 50% of a number is 126, then what is the number? Options: A) 5000 B) 5600 C) 5400 D) 4500 E) none of these | <gadget id="calculator">50 / 100</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>3/20 = around 0.15</output>
<gadget id="calculator">15 / 100</gadget>
<output>3/20 = around 0.15</output>
<... | B | calc |
ape210k__00069115 | In our school's sunshine sports interest activities, there are 148 people participating in the basketball team, and the number of table tennis teams is 3 less than that of the basketball team (1/4). How many people are there in the table tennis team? | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">148 * (1/4)</gadget>
<output>37</output>
<gadget id="calculator">37 - 3</gadget>
<output>34</output>
<result>34</result> | 34 | calc |
aqua_rat__8R42bML6oAqdh6Zu | A man buys an song for 10% less than its value and sells it for 10% more than its value. His gain or loss percent is:
Pick one
A) <25
B) <10
C) >20
D) >30
E) <30 | C >20 Let the song be worth $x. C.P. 90% of $x = $9x/10 S.P. = 110% of $x = $11x/10 Gain = (11x/10 - 9x/10) = $x/5 Gain % = x/5 * 10/9x * 100 = 22 2/9 % > 20%
<result>C</result> | C | calc |
ape210k__00244889 | The average of the three numbers is 60, and their ratio is 1:4:5, how much more the largest number is than the smallest number. | <gadget id="calculator">60 * 3</gadget>
<output>180</output>
<gadget id="calculator">1 + 4 + 5</gadget>
<output>10</output>
<gadget id="calculator">5 / 10</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">180 * (1/2)</gadget>
<output>90</output>
<gadget id="calculator">1 / 10</gadget>
<output>1/10 ... | 72 | calc |
ape210k__00330719 | In a formula, both the minuend and the subtrahend are 386, what is the difference? | <gadget id="calculator">386 - 386</gadget>
<output>0</output>
<result>0</result> | 0 | calc |
ape210k__00648815 | There are 378 boys and 231 girls in the first grade of elementary school, and 225 of them wear red scarves. How many people don't wear red scarves? | <gadget id="calculator">231 - 225</gadget>
<output>6</output>
<gadget id="calculator">378 + 6</gadget>
<output>384</output>
<result>384</result> | 384 | calc |
aqua_rat__j5Pd4A6xjF9TxybS | In wardrobe Marry has 3trousers. One of them is grey the 2nd blue and the 3rd brown. In his wardrobe he also has 4shirts. One of them is grey and the other 3are white. He openshiswardrobe in the dark and pick out one shirt trouser pair without examination the color. What is the likelihood that neither the shirt nor the... | Probability that trouser is not grey = 2/3 Probability that shirt is not grey = 3/4 ∴ Required probability = 2/3 x 3/4 = 1/2 1/2
<result>A</result> | A | calc |
aqua_rat__8Ah3mNwNeeF6ukAe | In a factory, there are 30% technicians and 70% non-technicians. If the 30% of the technicians and 70% of non-technicians are permanent employees, then the percentage of workers who are temporary is? Choose the correct choice: A) 62% B) 57% C) 52% D) 22% E) 48% | Total = 100 T= 30 NT= 70 30*(70/100)=
<gadget id="calculator">30*(70/100)</gadget>
<output>21</output>
21 70*(30/100)=21 21 + 21=
<gadget id="calculator">21 + 21</gadget>
<output>42</output>
42=> 100 - 42=
<gadget id="calculator">100 - 42</gadget>
<output>58</output>
58% Answer:48%
<result>E</result> | E | calc |
aqua_rat__uoHsQzAe6Fa7WA96 | In the accounting branch of a commercial institute, the percentage of male and female workers is 48% and 52% respectively. In this branch, 40% of males and 20% of females are age 25 or older. If one of the workers is selected at random, what is the probability Q that the worker is under 25 years old?
Choose the correct... | Percentage of male worker = 48 Percentage of female worker = 52 Let total number of workers = 1000 number of male workers= 480 number of female workers = 520 Number of male age 25 or older = (4/10)*480=
<gadget id="calculator">(4/10)*480</gadget>
<output>192</output>
192 Number of female age 25 or older=(2... | D | calc |
ape210k__00063458 | Xiao Ming practiced 100 characters in the morning and 140 in the afternoon. The number of characters practiced today is equivalent to (2/3) yesterday. How many characters did Xiao Ming practice yesterday? | <gadget id="calculator">100 + 140</gadget>
<output>240</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">240 / (2/3)</gadget>
<output>360</output>
<result>360</result> | 360 | calc |
ape210k__00710761 | A circular flower bed has a diameter of 4 meters, and a 0.5-meter gravel road is paved around it. What is the area of the gravel road in square meters? | <gadget id="calculator">4 / 2</gadget>
<output>2</output>
<gadget id="calculator">2 + 0.5</gadget>
<output>2.5</output>
<gadget id="calculator">2.5 ** 2</gadget>
<output>6.25</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">6.25 - 4</gadget>
<output>2.25</output>
<gadget ... | 7.065 | calc |
math_qa__F6G479bHxVspLdKn | A cylinder of height h is 2/3 of water. When all of the water is poured into an empty cylinder whose radius is 25 percent larger than that of the original cylinder, the new cylinder is 3/5 full. The height of the new cylinder is what percent of h? Choose one:
A) 25 %
B) 50 %
C) 60 %
D) 80 %
E) 90 % | <gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(3/5) / (2/3)</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">(9/10) * 100</gadget>
<output>90</output>
<result>E</result... | E | calc |
ape210k__00594651 | Solve the equation: (15/(x))-(30/(1+(1/3)))=5. | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">15 * (1/3)</gadget>
<output>5</output>
<gadget id="calculator">15 + 5</gadget>
<output>20</output>
<gadget id="calculator">55 / 2</gadget>
<output>55/2 = around 27.5</output>
<gadget id="calculator">45 / 2</gadget>... | 6/11 | calc |
aqua_rat__8p7jK3YI3vI5cfFY | Maxwell leaves his home and walks toward Brad's house at the same time that Brad leaves his home and runs toward Maxwell's house. If the distance between their homes is 80 kilometers, Maxwell's walking speed is 4 km/h, and Brad's running speed is 6 km/h, what is the distance traveled by Brad?
Select
A) 16 B) 48 C) 20... | Time taken = Total Distance / Relative Speed Total Distance = 80 kms Relative Speed (Opposite side) (As they are moving towards each other speed would be added ) = 6+ 4=
<gadget id="calculator">6+ 4</gadget>
<output>10</output>
10 kms/hr Time taken= 80 / 10=
<gadget id="calculator">80 / 10</gadget>
<output>8</o... | B | calc |
ape210k__00565789 | Xiaojie deposits 1,000 yuan in the bank. The monthly interest rate is 0.1875%. After one year of deposit, he will pay 20% interest tax. How much interest will Xiaojie get after the maturity date? | <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">2.25 * (4/5)</gadget>
<output>1.8</output>
<gadget id="calculator">2.25 - 1.8</gadget>
<output>0.45</output>
<result>0.45</result> | 0.45 | calc |
ape210k__01001139 | Xiaoxiao Chewing Gum Factory produces 2,400 pieces of chewing gum a day, every 5 pieces are packed in a pack, and every 6 packs is packed in a bag. How many bags of these chewing gums can be filled in total? (Requirement: use two methods to calculate, and say what is calculated first by each method, and then what is ca... | <gadget id="calculator">2_400 / 5 / 6</gadget>
<output>80</output>
<result>80</result> | 80 | calc |
aqua_rat__s2fGOVLYdxyXQGIi | A train 125 m long passes a man, running at 1 km/hr in the same direction in which the train is going, in 10 sec. The speed of the train is?
Answers
A) 65 km/hr B) 17 km/hr C) 76 km/hr D) 50 km/hr E) 46 km/hr | Speed of the train relative to man = 125/10 = 25/2 m/sec. = 25/2 * 18/5=
<gadget id="calculator">25/2 * 18/5</gadget>
<output>45</output>
45 km/hr Let the speed of the train be x km/hr. Then, relative speed= (x - 1) km/hr. x - 1 = 45 => x = 46 km/hr. Answer: 46 km/hr
<result>E</result> | E | calc |
aqua_rat__mWbfOlGxHiyDn6Fg | A milkman sells his milk at CP but he mixes it with water and thereby gains 25%. What is the % of water in the mixture? Choose the correct choice from the following options.
A) 10% B) 12% C) 20% D) 25% E) 30% | Here Gain= 25% error = quantity of water he mixes in the milk =x true value = true quantity of milk = T So the formula becomes, 25=x(T−x)×100 ⇒1=x(T−x)×4⇒T−x=4x⇒T=5x Percentage of water in the mixture =xT×100=x5x×100=15×100=20% 20%
<result>C</result> | C | calc |
aqua_rat__Sa8LQlLk6dxtOWlQ | The average price of three items of furniture is Rs. 15000. If their prices are in the ratio 3:5:7, the price of the cheapest item is :
Choose the correct choice from the following choices
A) 2348 B) 3888 C) 3988 D) 9000 E) 2882 | Explanation: Let their prices be 3x, 5x and 7x. Then, 3x + 5x + 7x = (15000 * 3) or x = 3000. Cost of cheapest item = 3x = Rs. 9000. Answer: 9000) 9000
<result>D</result> | D | calc |
ape210k__01095157 | The school bought back a batch of books and distributed them to 18 classes. After an average of 47 books per class, there was only one book left. How many books are there in total? | <gadget id="calculator">47 * 18</gadget>
<output>846</output>
<gadget id="calculator">846 + 1</gadget>
<output>847</output>
<result>847</result> | 847 | calc |
ape210k__00166333 | The school arranges students to listen to the report in the conference room. If every 3 people sit on a bench, then there are 48 people left unoccupied; if every 5 people sit on a bench, then exactly two benches will be vacant. How many students listen to the report? | <gadget id="calculator">5 * 2</gadget>
<output>10</output>
<gadget id="calculator">48 + 10</gadget>
<output>58</output>
<gadget id="calculator">5 - 3</gadget>
<output>2</output>
<gadget id="calculator">58 / 2</gadget>
<output>29</output>
<gadget id="calculator">29 * 3</gadget>
<output>87</output>
<gadget id="calcu... | 135 | calc |
math_qa__GWSaV2q2gQBF1SDa | How many bricks, each measuring 125 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?
Choose the correct choice from the following:
A) 1280
B) 2400
C) 5500
D) 7400
E) 3400 | <gadget id="calculator">8 * 100</gadget>
<output>800</output>
<gadget id="calculator">6 * 100</gadget>
<output>600</output>
<gadget id="calculator">800 * 600</gadget>
<output>480_000</output>
<gadget id="calculator">480_000 * 22.5</gadget>
<output>10_800_000</output>
<gadget id="calculator">125 * 11.25</gadget>
<ou... | A | calc |
aqua_rat__HplPUIpV7GRs68no | Sides of a rectangular park are in the ratio 3: 2 and its area is 2460sq m, the cost of fencing it at 50 ps per meter is? Options:
A) s.122 B) s.129 C) s.129.76 D) s.120 E) s.121 | 3x * 2x = 2460 => x = 20.24 2(79.76 + 50) = 259.52 m 259.52 * 1/2 = Rs.129.76 Answer:s.129.76
<result>C</result> | C | calc |
ape210k__00248970 | Guangming Primary School bought 86 books in May, 10 more than twice the amount in April. How many books did you buy in April? (solution by equation) | <gadget id="calculator">86 - 10</gadget>
<output>76</output>
<gadget id="calculator">76 / 2</gadget>
<output>38</output>
<result>38</result> | 38 | calc |
aqua_rat__YYFPQwcjx8STDXh9 | 10 t-shirts are available to choose. 5 of them are printed, and 5 of them are plain t-shirts. If 3 t-shirts are to be selected at random from the 10, what is the probability that at least one of them is a printed t-shirt. Options.
A) 1/12
B) 7/12
C) 5/12
D) 11/12
E) 13/12 | You have 10 t-shirts. You need to choose 3 of them. You can do this in 10C3 = 10*9*8/3*2*1 = 120 ways. You have 5 plain t-shirts. You can choose 3 out of them in 5C3 = 5*4/2=
<gadget id="calculator">5*4/2</gadget>
<output>10</output>
10 ways. So you have total 120 ways of picking 3 t-shirts out of 10. In 10 of tho... | D | calc |
math_qa__F7AkLMLfsfBdPXj3 | Find the area, diameter = 9 m. Pick one:
A) 63.00 square meter B) 63.64 square meter C) 63.08 square meter D) 63.24 square meter E) 63.43 square meter | <gadget id="calculator">9 / 2</gadget>
<output>9/2 = around 4.5</output>
<gadget id="calculator">pi * ((9/2) ** 2)</gadget>
<output>81*pi/4 = around 63.617251</output>
<result>B</result> | B | calc |
ape210k__00309542 | Add 10 to the numerator of (5/9), how much should be added to the denominator to keep the fraction constant. | <gadget id="calculator">10 + 5</gadget>
<output>15</output>
<gadget id="calculator">15 / 5</gadget>
<output>3</output>
<gadget id="calculator">9 * 3</gadget>
<output>27</output>
<gadget id="calculator">27 - 9</gadget>
<output>18</output>
<result>18</result> | 18 | calc |
aqua_rat__kcthaK3ckvbwBsF3 | Joe has a bunch of change in his pocket? Which of the following choices is the correct amount of change? Choose the correct choice from the following answers.
A) 75 cents B) 85 cents C) 29 cents D) 39 cents E) 51 cents | 29 is the only prime number, so answer 29 cents is the correct answer.
<result>C</result> | C | calc |
aqua_rat__xJeQCUUSylRTzURv | A dog takes 3 leaps for every 7 leaps of a hare. If one leap of the dog is equal to 3 leaps of the hare, the ratio of the speed of the dog to that of the hare is : Options.
A) 9:7
B) 9:9
C) 9:6
D) 9:1
E) 9:2 | Explanation: Dog : Hare = (3*3) leaps of hare : 7 leaps of hare = 9 : 7. 9:7nswer: 9:7) 9:7
<result>A</result> | A | calc |
ape210k__00519208 | The meteorological team measured the temperature at 12 noon every day of the week: 28°C, 32°C, 31°C, 31°C, 29°C, 28°C, 31°C. What is the average temperature in this week? | <gadget id="calculator">28 + 32 + 31 + 31 + 29 + 28 + 31</gadget>
<output>210</output>
<gadget id="calculator">210 / 7</gadget>
<output>30</output>
<result>30</result> | 30 | calc |
ape210k__00282491 | Three natural numbers a, b, c, known a*b=30, b*c=35, a*c=42, what is a*b*c? | <gadget id="calculator">30 / 5</gadget>
<output>6</output>
<gadget id="calculator">35 / 5</gadget>
<output>7</output>
<gadget id="calculator">6 * 5 * 7</gadget>
<output>210</output>
<result>210</result> | 210 | calc |
aqua_rat__CTWNqqhNzpkTWCk0 | Mother is aged 3times more than her daughter Rose. After 8 years, she would be two and a 1/2times of Rose's age. After further 8 years, how many times would he be of Rose's age? Choose the correct choice.
A) 1 B) 2 C) 3 D) 5 E) 6 | Let Ronit's present age be x years. Then, father's present age =(x + 3x) years = 4x years. (4x + 8) = 5 (x + 8) 2 8x + 16 = 5x + 40 3x = 24 x = 8. Hence, required ratio = (4x + 16)/(x + 16) = 48/24=
<gadget id="calculator">48/24</gadget>
<output>2</output>
2. 2
<result>B</result> | B | calc |
gsm8k__fvt1qZFlznjUVFER | A group of bedbugs infested an old mattress. Every day, the number of bedbugs would triple. After four days, there were 810 bedbugs burrowing into the mattress. How many bedbugs did the group start with? | On the third day, there were one-third of the number of bedbugs as the fourth day, so there were 810 / 3 =
<gadget id="calculator">810/3</gadget>
<output>270</output>
270 bedbugs.
On the second day, there were one-third of the third day's bedbugs, so there were 270 / 3 =
<gadget id="calculator">270/3</gadget>
<output... | 30 | calc |
math_qa__BkYFgBwLVlUZL2Ir | A contractor undertakes to built a walls in 50 days. He employs 70 peoples for the same. However after 25 days he finds that only 40% of the work is complete. How many more man need to be employed to complete the work in time? Answers: A) 105 B) 30 C) 35 D) 20 E) none of these | <gadget id="calculator">100 - 40</gadget>
<output>60</output>
<gadget id="calculator">60 / 100</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">70 * (3/5)</gadget>
<output>42</output>
<gadget id="calculator">4 / 10</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">42 / (2/5)</gadg... | A | calc |
ape210k__00409839 | If △+○=10, what is the result of 73*△+73*○ | <gadget id="calculator">73 * 10</gadget>
<output>730</output>
<result>730</result> | 730 | calc |
ape210k__00220592 | There are 54 cards in a deck, and there are 2 kings among them, then at least how many cards are drawn from it to ensure that there are 5 cards of the same suit for any drawing method. | <gadget id="calculator">3 * 4</gadget>
<output>12</output>
<gadget id="calculator">2 + 4 + 12 + 1</gadget>
<output>19</output>
<result>19</result> | 19 | calc |
ape210k__01146461 | There are 240 students in the sixth grade of Zhongtian Primary School. Among them (3/4) students will participate in the school sports meeting, and the rest will be the cheerleading team. Ask how many people in the sixth grade of Zhongtian Primary School participate in the cheerleading team? | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">1 - (3/4)</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">240 * (1/4)</gadget>
<output>60</output>
<result>60</result> | 60 | calc |
ape210k__00449836 | The small runway in Puyang Town is a rectangle with a circumference of 300 meters. The ratio of length to width is 3:2. What is the area? | <gadget id="calculator">300 / 2</gadget>
<output>150</output>
<gadget id="calculator">3 + 2</gadget>
<output>5</output>
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">150 * (3/5)</gadget>
<output>90</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = aroun... | 5_400 | calc |
gsm8k__kCjHdNmtCHSMpqc9 | Oli's banana split has 4 scoops of ice cream while Victoria has twice more scoops of ice cream than Oli's. How many more scoops of ice cream does Victoria have than Oli? | Victoria has 4 x 2 =
<gadget id="calculator">4*2</gadget>
<output>8</output>
8 scoops of ice cream.
Therefore, Victoria has 8 - 4 =
<gadget id="calculator">8-4</gadget>
<output>4</output>
4 more scoops of ice cream than Oli.
<result>4</result> | 4 | calc |
ape210k__00016854 | Add 4 to the numerator of (2/3), how much should be added to the denominator to keep the size of the fraction constant | <gadget id="calculator">3 * 3</gadget>
<output>9</output>
<gadget id="calculator">9 - 3</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__00413868 | A square billet with a side length of 6 cm is forged into a rectangular steel plate with a length of 12 cm and a width of 6 cm. How thick is this steel plate? | <gadget id="calculator">12 * 6</gadget>
<output>72</output>
<gadget id="calculator">6 / 72</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">6 * 6 * (1/12)</gadget>
<output>3</output>
<result>3</result> | 3 | calc |
ape210k__00558211 | Solution: (1/20)-(1/10)x=x: (1/5). | <gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/20) * (1/5)</gadget>
<output>1/100 = around 0.01</output>
<gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget... | 1/102 | calc |
ape210k__00278253 | In a triangle ABC, it is known that the lengths of the three sides are all integers in centimeters, and the lengths of the two sides are 5 cm and 8 cm respectively, and the length of the third side is at most how many centimeters. | <gadget id="calculator">8 + 5</gadget>
<output>13</output>
<gadget id="calculator">13 - 1</gadget>
<output>12</output>
<result>12</result> | 12 | calc |
ape210k__00482298 | This year's output is 8% higher than last year's. What is this year's output compared to last year's output? | <gadget id="calculator">8 / 100</gadget>
<output>2/25 = around 0.08</output>
<gadget id="calculator">1 + (2/25)</gadget>
<output>27/25 = around 1.08</output>
<result>27/25 = around 1.08</result> | 27/25 | calc |
ape210k__00481881 | From 8:00 to 12:00, I sprayed a total of 840 apple trees. How many trees are sprayed per hour on average? | <gadget id="calculator">840 / 8</gadget>
<output>105</output>
<result>105</result> | 105 | calc |
math_qa__pL2Q9CPOdIPJLsQm | The banker's gain on a sum due 6 years hence at 12% per annum is Rs. 756. What is the banker's discount? Choose one.
A) 1240 B) 1120 C) 1190 D) 1806 E) none of these | <gadget id="calculator">756 * 100</gadget>
<output>75_600</output>
<gadget id="calculator">12 * 6</gadget>
<output>72</output>
<gadget id="calculator">75_600 / 72</gadget>
<output>1_050</output>
<gadget id="calculator">756 + 1_050</gadget>
<output>1_806</output>
<result>D</result> | D | calc |
gsm8k__G5Z1Yh9qsziBm5PJ | Jill is going to resod her front yard. The plot of land in front of her house is 200 feet wide by 50 feet. Her house has a sidewalk that is 3 feet wide and 50 feet long. There are also four flower beds: two right in front of the house that are 4 feet deep by 25 feet long, one that is 10 feet by 12 feet, and a fourth th... | The area of the whole front yard is 200 feet by 50 feet, or 200 ft * 50 ft =
<gadget id="calculator">200*50</gadget>
<output>10_000</output>
10,000 sq.ft.
The sidewalk is 3 feet by 50 feet, or 3ft * 50ft =
<gadget id="calculator">3*50</gadget>
<output>150</output>
150 sq.ft.
Each of the flower beds right in front of ... | 9_474 | calc |
aqua_rat__VTA9evdu85u0NHOD | Which of the following is the sum of all the even numbers between 1 and 95, inclusive? Select the correct option
A) 2550 B) 2448 C) 2600 D) 2499 E) 2652 | This question can be solved withbunching. We're asked for the SUM of all of the EVEN integers from 1 to 95, so we really want the sum of 2, 4, 6, 8.....98. If you take the next smallest and next biggest numbers, you have... 6+94=
<gadget id="calculator">6+94</gadget>
<output>100</output>
100 This pattern will ... | B | calc |
aqua_rat__LwYU6Aq7C6N7XpGo | P software has coding line 5% more than N, N software has coding line 5/2 more than M. M software has 108 lines of coding. find P lines. Choose the correct choice:
A) 106 B) 107 C) 397 D) 109 E) 110 | M s/w has 108 line of code N s/w has = 108+108*5/2=
<gadget id="calculator">108+108*5/2</gadget>
<output>378</output>
378 line of code P s/w 5% more N' code 378+18.9=
<gadget id="calculator">378+18.9</gadget>
<output>396.9</output>
396.9 or 397 line of code ANSWER:397
<result>C</result> | C | calc |
ape210k__00526578 | A ship sails between two piers A and B. It takes 3 hours to sail along the current and 5 hours to sail against the current. The known current velocity is 4km/h. Find the distance between the two piers. | <gadget id="calculator">4 + 4</gadget>
<output>8</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/3) - (1/5)</gadget>
<output>2/15 = around 0.133333</output>
<gadget id="calculat... | 60 | calc |
ape210k__00413374 | There are 13 chickens and rabbits, and there are 40 legs, how many of them are chickens? | <gadget id="calculator">13 * 4</gadget>
<output>52</output>
<gadget id="calculator">52 - 40</gadget>
<output>12</output>
<gadget id="calculator">4 - 2</gadget>
<output>2</output>
<gadget id="calculator">12 / 2</gadget>
<output>6</output>
<result>6</result> | 6 | calc |
ape210k__00716907 | At 7:00 on the clock face, what is the angle between the hour and minute hands? | <gadget id="calculator">30 * 5</gadget>
<output>150</output>
<result>150</result> | 150 | calc |
ape210k__00212151 | A certain school held a New Year's fitness activity, and Class One of the sixth grade participated in two competitions. 30 people participated in the long-distance running, and 28 people participated in the rope skipping. Among them, 13 people participated in these two activities at the same time. How many people in Cl... | <gadget id="calculator">28 - 13</gadget>
<output>15</output>
<gadget id="calculator">30 + 15</gadget>
<output>45</output>
<result>45</result> | 45 | calc |
ape210k__00726365 | A piece of cloth is 3 meters long, (1/3) is used to make trousers, (1/2) is used to make a jacket, how much of this piece of cloth is left | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/3) + (1/2)</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">1 - (5/6)</gadget>
<output>1/6 = around 0.166667</output... | 1/6 | calc |
ape210k__00423745 | The school held a sports competition. There were 80 people who won the third prize. The number of people who won the first prize was the third prize (1/4), and the second prize (2/3). how many people? | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(1/4) / (2/3)</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">80 * (3/8)</gadget>
<output>30</output>
<result>30</resul... | 30 | calc |
aqua_rat__PBAvIxjY1O3jAA13 | Instead of multiplying a number by 2, the number is divided by 10. What is the percentage of error obtained ? Select:
A) 94%
B) 92%
C) 95%
D) 93%
E) 97% | let the number be x the right number is 2x the wrong number is x/10 error is(2x-x/10)=19x/10 percentage of error is((19x/10)/2x)*100=95% ANSWER:95% ((19 /10)/2 )*100=
<gadget id="calculator"> ((19 /10)/2 )*100</gadget>
<output>95</output>
95% ANSWER:95%
<result>C</result> | C | calc |
aqua_rat__bopo4lIR0F0IoPCc | What is the sum of the odd integers from 35 to 65, inclusive? Pick one:
A) 800
B) 550
C) 555
D) 600
E) 605 | The mean is 50. Sum=Mean(# of elements) There are 16 odd numbers between 35-65 inclusive. 16*50=800 800
<result>A</result> | A | calc |
ape210k__01096597 | Each class of Yucai Primary School donated 48 books to Hope Primary School. There are 6 grades in Yucai Primary School, and each grade has 4 classes. How many books did Yucai Primary School donate to Hope Primary School? | <gadget id="calculator">6 * 4 * 48</gadget>
<output>1_152</output>
<result>1_152</result> | 1_152 | calc |
aqua_rat__rJ2DXgz3RcGWtRGo | A thief is noticed by a policeman from a distance of 275 m. The thief starts running and the policeman chases him. The thief and the policeman run at the rate of 10 km and 11 km per hour respectively. What is the distance between them after 6 minutes ? Choose the correct choice from the following answers:
A) 50 meter ... | Explanation: Relative speed of the thief and policeman = (11 – 10) km/hr = 1 km/hr Distance covered in 6 minutes = 1/60∗6=1/10=100meters So distance between them after 6 minutes = 275 - 100=
<gadget id="calculator">275 - 100</gadget>
<output>175</output>
175 meters Option 175 meter
<result>C</result> | C | calc |
aqua_rat__qhszJLc0xXrLjgKC | Bradley owns x video game cartridges. If Bradley’s total is one-third the total owned by James and four times the total owned by Charles, how many video game cartridges do the three of them own altogether, in terms of x?
Choose the correct option
A) (16/3)x
B) (17/14)x
C) (13/4)x
D) (19/12)x
E) (17/4)x | x = Bradley’s total 3x = James’s total (1/4)x = Charles’s total Add each total x + 3x+ (1/4)x = 4x + (1/4)x = = (17/4)x Answer : (17/4)x
<result>E</result> | E | calc |
ape210k__00440282 | 42/6+□=20, how much should be filled in □ | <gadget id="calculator">20 - 7</gadget>
<output>13</output>
<result>13</result> | 13 | calc |
ape210k__00281784 | ((a)/2)+((b)/7)=(9/14), then 7a+2b=how much. | <result>9</result> | 9 | calc |
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