[User]
an error 5 % in excess is made while measuring the side of a square. the percentage of error in the calculated area of the square is
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[Assistant] 10.25 %

[User]
the average weight of 6 person's 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?
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[Assistant] 80 kg

[User]
which greatest possible length can be used to measure exactly 10 meter 40 cm, 14 meter 10 cm and 7 meter 90 cm
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[Assistant] 10 cm

[User]
a shopkeeper sells 200 metres of cloth for rs. 12000 at a loss of rs. 6 per metre. find his cost price for one metre of cloth?
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[Assistant] s. 66

[User]
in what ratio must rice at $ 9.30 / kg be mixed with rice at $ 10.80 / kg so that the mixture is worth $ 10 / kg?
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[Assistant] 8 : 7


[User]
a can contains a mixture of liquids a and b is the ratio 7 : 5. when 9 litres of mixture are drawn off and the can is filled with b, the ratio of a and b becomes 7 : 9. how many liter q of liquid a was contained by the can initially?
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[Assistant] 21

[User]
a sum of money at simple interest amounts to rs. 855 in 3 years and to rs. 854 in 4 years. the sum is :
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[Assistant] s. 738

[User]
a salesperson received a commission of 3 percent of the sale price for each of the first 100 machines that she sold and 4 percent of the sale price for each machine that she sold after the first 100. if the sale price of each machine was $ 10,000 and the salesperson received a $ 42,000 commission, how many machines did she sell?
Answer the question using a single word or phrase.

[Assistant] 130

[User]
in a class of students, 1 / 2 of the number of girls is equal to 1 / 6 of the total number of students. what is the ratio of boys to girls in the class?
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[Assistant] 2 / 1

[User]
if x is less than y by 45 % then y exceed x by :
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[Assistant] 81.81 %


[User]
if the least common multiple of two prime numbers x and y is 77, where x > y, then the value of 2 x + y is
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[Assistant] 29

[User]
convert 0.35 in to a vulgar fraction?
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[Assistant] 7 / 20

[User]
how many multiples of 10 are there between 10 and 1000, exclusive?
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[Assistant] 98

[User]
find the average of all the numbers between 6 and 29 which are divisible by 5?
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[Assistant] 17

[User]
train a leaves the station traveling at 30 miles per hour. two hours later train в leaves the same station traveling in the same direction at 36 miles per hour. how many miles from the station was train a overtaken by train b?
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[Assistant] 360


[User]
s is a set of 64 consecutive multiples of 4. if the smallest number in s is 68, then the greatest number in s is
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[Assistant] 320

[User]
the “ s - number ” of a number x is defined as the ones digit of 2 ^ x. antony rolls a die with 6 sides labeled with the integers from 1 to 6, each of which has an equal probability of landing face - up. he then takes 3 ^ s, where s is the s - number of the result of his die roll, and plots 3 ^ s on a number line as the point a. finally, he repeats this entire process, this time plotting the result as the point b. what is the probability that the distance between a and b is greater than the value of b?
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[Assistant] 13 / 36

[User]
two numbers are respectively 20 % and 50 % more than a third number. what percentage is the first of the second?
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[Assistant] 80 %

[User]
calculate how much time could be saved if the train would run at its usual speed, given that it ran at 3 / 4 of its own speed and got to its destination in 10 hours?
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[Assistant] 2.5 hrs

[User]
angelina walked 1200 meters from her home to the grocery at a constant speed. she then walked 480 meters to the gym at double the speed. she spent 40 seconds less on her way from the grocery to the gym than on her way from home to the grocery. what was angelina's speed, in meters per second, from the grocery to the gym?
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[Assistant] 48


[User]
a waiter's salary consists of his salary and tips. during one week his tips were 5 / 2 of his salary. what fraction of his income came from tips?
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[Assistant] 5 / 7

[User]
if a certain number x is divided by 82, the reminder is 5. what is the reminder when x + 7 is divided by 41?
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[Assistant] 12

[User]
a reduction of 50 % in the price of apples would enable a man to obtain 80 more for rs. 55, what is reduced price per dozen?
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[Assistant] 4

[User]
what is the next number : 3, 18, 258, __
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[Assistant] 4098

[User]
cindy has her eye on a sundress but thinks it is too expensive. it goes on sale for 15 % less than the original price. before cindy can buy the dress, however, the store raises the new price by 25 %. if the dress cost $ 85 after it went on sale for 15 % off, what is the difference between the original price and the final price?
Answer the question using a single word or phrase.

[Assistant] $ 6.25


[User]
the price of a car is marked at $ 12,000. if the car has successive discounts of 20 %, 15 % and 5 %, then at what price does a customer buy the car?
Answer the question using a single word or phrase.

[Assistant] $ 7752

[User]
a dealer offers a cash discount of 10 % and still makes a profit of 20 % when he further allows 45 articles to be sold at the cost price of 40 articles to a particular sticky bargainer. how much percent above the cost price were his articles listed?
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[Assistant] 50 %

[User]
at the end of year x, automobile installment credit accounted for 20 % of all outstanding consumer installment credit. at that time automobile finance companies extended $ 57 billion of credit, or 1 / 3 of the automobile installment credit. how many billion dollars of consumer installment credit was outstanding at that time?
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[Assistant] 855

[User]
a man can row upstream at 32 kmph and downstream at 48 kmph, and then find the speed of the man in still water?
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[Assistant] 40

[User]
the ratio between the length and the breadth of a rectangular park is 3 : 2. if a man cycling alongthe oundary of the park at the speed of 12 km / hr completes one round in 8 minutes, then the area of the park ( in sq. m ) is
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[Assistant] 153600 m


[User]
the radius of the two circular fields is in the ratio 3 : 10 the area of the first field is what percent less than the area of the second?
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[Assistant] 91 %

[User]
3 buffaloes eat as much as 4 cows or 2 oxen. at a farm, there are 15 buffaloes, 8 oxen, and 24 cows. the fodder for these cattle is available for 24 days. if 60 more cows and 30 more buffaloes are brought in, how many days will the fodder last?
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[Assistant] 9

[User]
an woman swims downstream 64 km and upstream 24 km taking 8 hours each time ; what is the speed of the current?
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[Assistant] 2.5

[User]
what is 30 % of 210?
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[Assistant] 63

[User]
company x provides bottled water to its employees in 1 liter bottles, $ 2 each. at least how many 1 l bottles must company x buy monthly, so that new contract with $ 50 fixed monthly rate and $ 1 for 10 l bottle each paid off? ( assume that no other costs apply )
Answer the question using a single word or phrase.

[Assistant] 27


[User]
the average age of students of a class is 15.8 years. the average age of boys in the class is 16.4 years and that of the girls is 15.3 years, the ratio of the number of boys to the number of girls in the class is
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[Assistant] 5 : 6

[User]
a train can travel 50 % faster than a car. both start from point a at the same time and reach point b 75 kms away from a at the same time. on the way, however, the train lost about 12.5 minutes while stopping at the stations. what is the speed of the car?
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[Assistant] 120

[User]
if the sides of a triangle are 39 cm, 32 cm and 10 cm, what is its area?
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[Assistant] 160

[User]
the remainder when q = 1 + 3 + 3 ^ 2 + 3 ^ 3 +.......... + 3 ^ 200 is divided 13.
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[Assistant] 0

[User]
p and q invested in a shop. the profits were divided in the ratio of 5 : 2 respectively. if p invested rs. 5600, the amount invested by q is :
Answer the question using a single word or phrase.


[User]
a car gets 20 kilometers per gallon of gasoline. how many gallons of gasoline would the car need to travel 120 kilometers?
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[Assistant] 6 gallons

[User]
a cuboidal block 6 cm x 9 cm x 12 cm is cut up into an exact number of equal cubes. the least possible number of equal cubes will be
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[Assistant] 24

[User]
in a class of 25 students, 2 students did not borrow any books from the library, 12 students each borrowed 1 book, 4 students each borrowed 2 books, and the rest borrowed at least 3 books. if the average number of books per student was 2, what is the maximum number of books any single student could have borrowed?
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[Assistant] 12

[User]
the sector of a circle has radius of 21 cm and central angle 180 o. find its perimeter?
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[Assistant] 108

[User]
beginning in town a, biker bob rides his bike 30 miles west, 6 miles north, 15 miles east, and then 18 miles north, to town b. how far apart are town a and town b? ( ignore the curvature of the earth. )
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[Assistant] 28.3 miles


[User]
a bowl of nuts is prepared for a party. brand p mixed nuts are 20 % almonds and brand q's deluxe nuts are 25 % almonds. if a bowl contains a total of 68 ounces of nuts, representing a mixture of both brands, and 15 ounces of the mixture are almonds, how many ounces of brand q's deluxe mixed nuts are used?
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[Assistant] 28

[User]
two trains 200 m and 300 m long run at the speed of 70 kmph and 50 kmph in opposite directions in parallel tracks. the time which they take to cross each other is?
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[Assistant] 15 sec

[User]
find the area of a parallelogram with base 12 cm and height 10 cm?
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[Assistant] 120 cm 2

[User]
6 lights begin to flash together at 12 : 00 noon and flash respectively at intervals of 3, 4, 5, 6, 7, and 8 seconds. not including the flash at 12 : 00 noon, how many more times will all 6 lights flash together before 1 : 00 pm ( i. e. one hour later )?
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[Assistant] 4

[User]
a is the hundreds digit of the 3 digit integer x, b is the tens digit of x, and c is the units digit of x. 2 a = b = 4 c, and a > 0. what is the difference between the two greatest possible values of x? tip : dont stop till you have exhausted all answer choices to arrive at the correct one.
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[Assistant] 241


[User]
find the slope of the line perpendicular to the line y = ( 1 / 2 ) x - 7
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[Assistant] - 2

[User]
the sale price of an article including the sales tax is rs. 616. the rate of sales tax is 10 %. if the shopkeeper has made a profit of 25 %, then the cost price of the article is :
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[Assistant] 448

[User]
the triplicate ratio of 1 : 2 is?
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[Assistant] 1 : 8

[User]
a number with an interesting property : when i divide it by 2, the remainder is 1. when i divide it by 3, the remainder is 2. when i divide it by 4, the remainder is 3. when i divide it by 5, the remainder is 4. when i divide it by 6, the remainder is 5. when i divide it by 7, the remainder is 6. when i divide it by 8, the remainder is 7. when i divide it by 9, the remainder is 8. when i divide it by 10, the remainder is 9. it's not a small number, but it's not really big, either. when i looked for a smaller number with this property i could n't find one. can you find it?
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[Assistant] 2519

[User]
65 % of a number is 21 less than 4 / 5 th of that number. what is the number?
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[Assistant] 140


[User]
what is the sum of the integers 45 through 175 inclusive?
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[Assistant] 14,410

[User]
the ratio of males to females in a class is 2 : 3. the career preferences of the students in the class are represented in a circle graph. if the area of the graph allocated to each career preference is proportional to the number of students who have that career preference, how many degrees of the circle should be used to represent a career that is preferred by one - half of the males and one - fourth of the females in the class?
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[Assistant] 126

[User]
a vendor sells 60 percent of the apples he had and throws away 40 percent of the remainder. the next day, the vendor sells 50 percent of the remaining apples and throws away the rest. in total, what percent of his apples does the vendor throw away?
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[Assistant] 28

[User]
a vendor sells 80 percent of the pears he had and throws away 50 percent of the remainder. the next day, the vendor sells 80 percent of the remaining pears and throws away the rest. in total, what percent of his pears does the vendor throw away?
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[Assistant] 12

[User]
a train 700 m long can cross an electric pole in 20 sec and then find the speed of the train?
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[Assistant] 126 kmph


[User]
the average weight of 8 persons increases by 3.5 kg when a new person comes in place of one of them weighing 65 kg. what might be the weight of the new person?
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[Assistant] 93 kg

[User]
an industrial loom weaves 1.14 meters of cloth every second. approximately, how much time will it take to weave 52 meters of cloth?
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[Assistant] 45.61 sec

[User]
one pipe can fill a tank three times as fast as another pipe. if together the two pipes can fill tank in 37 min, then the slower pipe alone will be able to fill the tank in?
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[Assistant] 148

[User]
if 10 machines can produce 20 units in 10 hours, how long would it take 40 machines to produce 100 units?
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[Assistant] 12.5

[User]
when positive integer n is divided by positive integer j, the remainder is 14. if n / j = 134.07, what is value of j?
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[Assistant] 200


[User]
if m : n is 2 : 9 and n : p is 9 : 4 then m : p is equal to
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[Assistant] 1 : 2

[User]
the product of two numbers is 1320 and their h. c. f is 6. the l. c. m of the numbers is
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[Assistant] 220

[User]
a certain taxi company charges $ 2.80 for the first 1 / 5 of a mile plus $ 0.40 for each additional 1 / 5 of a mile. what would this company charge for a taxi ride that was 8 miles long?
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[Assistant] 18.4

[User]
the average of first five multiples of 4 is
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[Assistant] 12

[User]
of the 3 - digit integers greater than 200, how many have two digits that are equal to each other and the remaining digit different from the other two?
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[Assistant] 36


[User]
a farmer used 1,034 acres of land for beans, wheat, and corn in the ratio of 5 : 2 : 4, respectively. how many r acres were used for corn?
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[Assistant] 376

[User]
the tax on a commodity is diminished by 40 % but its consumption is increased by 25 %. find the decrease percent in the revenue derived from it?
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[Assistant] 25 %

[User]
a lady grows cabbage in her garden that is in the shape of a square. each cabbage takes 1 square foot of area in her garden. this year, she has increased her output by 127 cabbages when compared to last year. the shape of the area used for growing the cabbage has remained a square in both these years. how many cabbages did she produce this year?
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[Assistant] 4096

[User]
a snail, climbing a 20 feet high wall, climbs up 8 feet on the first day but slides down 4 feet on the second. it climbs 8 feet on the third day and slides down again 4 feet on the fourth day. if this pattern continues, how many days will it take the snail to reach the top of the wall?
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[Assistant] 7

[User]
out of 40 applicants to a law school, 15 majored in political science, 20 had a grade point average higher than 3.0, and 10 did not major in political science and had a gpa equal to or lower than 3.0. how many of q applicants majored in political science and had a gpa higher than 3.0?
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[Assistant] 5


[User]
the sum of the squares of the first 15 positive integers ( 1 ^ 2 + 2 ^ 2 + 3 ^ 2 +... + 15 ^ 2 ) is equal to 1270. what is the sum of the squares of the second 15 positive integers ( 16 ^ 2 + 17 ^ 2 + 18 ^ 2 +... + 30 ^ 2 )?
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[Assistant] 8245

[User]
last week vartan spent 15 percent of his wages on recreation. this week, his wages are 10 percent less than last week ʼ s wages and he spent 30 percent of his wages on recreation. the amount he spends on recreation this week is what percent of the amount he spent on recreation last week?
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[Assistant] 180 %

[User]
the circumferences of two circles are 528 meters and 704 meters. find the difference between the areas of the larger and the smaller circles?
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[Assistant] 17248 sq m

[User]
if 15 % of a is the same as 25 % of b, then a : b is :
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[Assistant] 5 : 3

[User]
the ages of old and young total 48. old is twice as old as young was when old was half as old as young will be when young is 3 times as old was when old was 3 times as old as young. how old is old?
Answer the question using a single word or phrase.

[Assistant] 12


[User]
the percentage profit earned by selling an article for rs. 1520 is equal to the percentage loss incurred by selling the same article for rs. 1280. at what price should the article be sold to make 25 % profit?
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[Assistant] 1750

[User]
convert 2.5 hectares in ares
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[Assistant] 250 ares.

[User]
if a randomly selected non - negative single digit integer is added to { 2, 3, 4, 9 }. what is the probability that the median of the set will increase but the range still remains the same?
Answer the question using a single word or phrase.

[Assistant] 0.6

[User]
keats library purchases a number of new books, all in the category of biography, and the library does not acquire any other books. with the addition of the new biographies, the biography collection of the library amounts to 32 % of the total number of books in the library. if prior to the purchase, only 20 % of the books in keats library were biographies, by what percent has the number of biographies in the library increased?
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[Assistant] 88 %

[User]
if the volume of two cubes are in the ratio 125 : 1, the ratio of their edges is :
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[Assistant] 5 : 1


[User]
in a class of 20 students in an examination in mathematics 2 students scored 100 marks each, 3 get zero each and the average of the rest was 40. what is the average of the whole class?
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[Assistant] 40

[User]
the cost of an article is decreased by 20 %. if the original cost is $ 40, find the decrease cost.
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[Assistant] 32

[User]
two pipes a and b can separately fill a cistern in 24 minutes and 48 minutes respectively. there is a third pipe in the bottom of the cistern to empty it. if all the three pipes are simultaneously opened, then the cistern is full in 12 minutes. in how much time, the third pipe alone can empty the cistern?
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[Assistant] 48 min

[User]
a can do a piece of work in 20 days, and b can do it in 15 days. how long will they take if both work together?
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[Assistant] 8.6 days

[User]
if the sides of a triangle are 28 cm, 26 cm and 12 cm, what is its area?
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[Assistant] 156 cm 2


[User]
the average weight of 29 students is 28 kg. by the admission of a new student, the average weight is reduced to 27.4 kg. the weight of the new student is
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[Assistant] 10 kg

[User]
22 buckets of water fill a tank when the capacity of each bucket is 13.5 litres. how many buckets will be required to fill the same tank if the capacity of each bucket is 9 litres?
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[Assistant] 33

[User]
find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number?
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[Assistant] 3

[User]
the arithmetic mean and standard deviation of a certain normal distribution are 17.5 and 2.5, respectively. what value is exactly 2 standard deviations less than the mean?
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[Assistant] 12.5

[User]
in a group of 130 people, 90 have an age of more 30 years, and the others have an age of less than 20 years. if a person is selected at random from this group, what is the probability the person's age is less than 20?
Answer the question using a single word or phrase.

[Assistant] 0.31


[User]
a store reported total sales of $ 385 million for february of this year. if the total sales for the same month last year was $ 320 million, approximately what was the percent increase e in sales?
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[Assistant] 20 %

[User]
a city with a population of 126,160 is to be divided into 7 voting districts, and no district is to have a population that is more than 10 percent greater than the population of any other district. what is the minimum possible population that the least populated district could have?
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[Assistant] 16,600

[User]
find the largest 3 digit number which is exactly divisible by 88?
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[Assistant] 968

[User]
if a = { 17, 27, 31, 53, 61 }, what is the sum of mean and median of the numbers in a?
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[Assistant] 69

[User]
the simple interest on a certain sum of money at the rate of 5 % p. a. for 8 years is rs. 840. at what rate of intrest the same amount of interest can be received on the same sum after 5 years.
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[Assistant] 8 %


[User]
two cards are drawn together from a pack of 52 cards. the probability that one is a club and other is a diamond, is :
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[Assistant] 13 / 102

[User]
a rectangular tiled patio is composed of 160 square tiles. the rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles. after the change in layout, the patio will still have 160 tiles, and it will still be rectangular. how many rows are in the tile patio before the change in layout?
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[Assistant] 10

[User]
8 machines can do a work in 10 days. how many machines are needed to complete the work in 40 days?
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[Assistant] 2

[User]
a's speed is 15 / 13 times that of b. if a and b run a race, what part of the length of the race should a give b as a head start, so that b beats a by 40 % of the length of the race?
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[Assistant] 48 %

[User]
along a yard 414 metres long, 24 trees are palnted at equal distances, one tree being at each end of the yard. what is the distance between two consecutive trees
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[Assistant] 18


[User]
at the opening of a trading day at a certain stock exchange, the price per share of stock k was $ 8. if the price per share of stock k was $ 9 at the closing of the day, what was the percent increase in the price per share of stock k for that day?
Answer the question using a single word or phrase.

[Assistant] 12.5 %

[User]
on a certain road 10 % of the motorists exceed the posted speed limit and receive speeding tickets, but 22 % of the motorists who exceed the posted speed limit do not receive speeding tickets. what percent of the motorists on the road exceed the posted speed limit?
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[Assistant] 12.8 %

[User]
a fruit seller had some oranges. he sells 40 % oranges and still has 480 oranges. how many oranges he had originally?
Answer the question using a single word or phrase.

[Assistant] 800

[User]
fresh grapes contain 70 % by weight while dried grapes contain 10 % water by weight. what is the weight of dry grapes available from 100 kg of fresh grapes?
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[Assistant] 33.33 kg

[User]
a hall 20 m long and 15 m broad is surrounded by a verandah of uniform width of 2.5 m. the cost of flooring the verandah at the rate of rs. 3.50 per sq. meter is
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[Assistant] 700


[User]
a man rows his boat 90 km downstream and 55 km upstream, taking 3 hours each time. find the speed of the stream?
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[Assistant] 6 kmph

[User]
jim is able to sell a hand - carved statue for $ 540 which was a 35 % profit over his cost. how much did the statue originally cost him?
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[Assistant] $ 400.00

[User]
the speed at which a girl can row a boat in still water is 30 kmph. if she rows downstream, where the speed of current is 6 kmph, what time will he take to cover 240 metres?
Answer the question using a single word or phrase.

[Assistant] 24

[User]
the standard deviation of a normal distribution of data is 2, and 3 standard deviations below the mean is greater than 45. what is a possible value for the mean of the distribution?
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[Assistant] 52

[User]
if 13 = 13 w / ( 1 - w ), then ( 5 w ) 2 =
Answer the question using a single word or phrase.

[Assistant] 5


[User]
two trains of length 100 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. in what time will they be clear of each other from the moment they meet?
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[Assistant] 19 sec

[User]
the ratio of radius of a circle and the side of a square is 2 : 9. find the ratio of their areas :
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[Assistant] 4 : 81

[User]
if 12 men can reap 120 acres of land in 36 days, how many acres of land can 24 men reap in 62 days?
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[Assistant] 413.3

[User]
evaluate : 10010 - 12 * 3 * 2 =?
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[Assistant] 10002

[User]
a car travels at a speed of 10 miles per hour. how far will it travel in 5 hours?
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[Assistant] 50 miles


[User]
if 42 men do a work in 25 days, in how many days will 50 men do it?
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[Assistant] 21

[User]
find large number from below question the difference of two numbers is 1345. on dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder
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[Assistant] 1611

[User]
company s produces two kinds of stereos : basic and deluxe. of the stereos produced by company s last month, 2 / 3 were basic and the rest were deluxe. if it takes 9 / 5 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos?
Answer the question using a single word or phrase.

[Assistant] 9 / 19

[User]
a train 250 meters long completely crosses a 300 meters long bridge in 45 seconds. what is the speed of the train is?
Answer the question using a single word or phrase.

[Assistant] 44

[User]
the salaries of a and b together amount to $ 500. a spends 90 % of his salary and b, 80 % of his. if now, their savings are the same, what is a's salary?
Answer the question using a single word or phrase.

[Assistant] $ 34


[User]
if there are 10 peanuts in a box and mary puts 8 more peanuts inside, how many peanuts are in the box?
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[Assistant] 18

[User]
how many positive integers less than 1960 are such that the product of their digits is 10.
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[Assistant] 280

[User]
the average runs of a cricket player of 10 innings was 32. how many runs must he makes ih his next innings so as to increase his average of runs by 4?
Answer the question using a single word or phrase.

[Assistant] 76

[User]
an outlet pipe can empty 2 / 3 of a cistern in 16 minutes. in 4 minutes, what part of the cistern will be emptied?
Answer the question using a single word or phrase.

[Assistant] 1 / 6

[User]
the average monthly income of p and q is rs. 5050. the average monthly income of q and r is rs. 6250 and the average monthly income of p and r is rs. 5200. the monthly income of p is?
Answer the question using a single word or phrase.

[Assistant] rs. 4000


[User]
in a group of 26 junior high school students, 7 take french, 10 take spanish, and 4 take both languages. the students taking both french and spanish are not counted with the 7 taking french or the 10 taking spanish. how many students are not taking either french or spanish?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
a mixture contains alcohol and water in the ratio 4 : 3. if 8 litres of water is added to the mixture, the ratio becomes 4 : 5. find the quantity of alcohol in the given mixture
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[Assistant] 16 litres

[User]
what is the sum of the multiples of 4 between 19 and 130 inclusive?
Answer the question using a single word or phrase.

[Assistant] 2072

[User]
a certain article of clothing was discounted during a special sale to 3 / 4 of its original retail price. when the clothing did n't sell, it was discounted even further to 2 / 5 of its original retail price during a second sale. by what percent did the price of this article of clothing decrease from the first sale to the second sale?
Answer the question using a single word or phrase.

[Assistant] 46.66 %

[User]
bruce and anne can clean their house in 4 hours working together at their respective constant rates. if anne ’ s speed were doubled, they could clean their house in 3 hours working at their respective rates. how many hours does it currently take anne to clean the house on her own?
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[Assistant] 12


[User]
if p and q are prime numbers, how many divisors does the product p ^ 3 * q ^ 6 have?
Answer the question using a single word or phrase.

[Assistant] 28

[User]
two men started from the same place walk at the rate of 10 kmph and 12 kmph respectively. what time will they take to be 10 km apart, if they walk in the same direction?
Answer the question using a single word or phrase.

[Assistant] 5 hours

[User]
the rate of interest on a sum of money is 3 % p. a. for the first 3 years, 4 % p. a. for the next 4 years, and 5 % for the period beyond 7 years. if the s. i, occurred on the sum for the total period of 8 years is rs. 540 / -, the sum is
Answer the question using a single word or phrase.

[Assistant] 1,800

[User]
in a renowned city, the average birth rate is 6 people every two seconds and the death rate is 2 people every two seconds. estimate the size of the population net increase that occurs in one day.
Answer the question using a single word or phrase.

[Assistant] 172,800

[User]
for every x, the action [ x ] is defined : [ x ] is the greatest integer less than or equal to x. what is the value of [ 6.5 ] x [ 2 / 3 ] + [ 2 ] x 7.2 + [ 8.3 ] - 6.6?
Answer the question using a single word or phrase.

[Assistant] 15.8.


[User]
a car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 300 kilometers per hour. at what speed, in kilometers per hour, is the car traveling?
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[Assistant] 300

[User]
in a group of 25, 13 can speak latin, 15 can speak french, and 6 do n't speak either. how many of these speak both latin and french?
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[Assistant] 9

[User]
a train of length 250 m crosses a bridge of length 120 m in 20 seconds. what is the speed of train?
Answer the question using a single word or phrase.

[Assistant] 66.6

[User]
a survey of n people in the town of eros found that 50 % of them preferred brand a. another survey of 150 people in the town of angie found that 60 % preferred brand a. in total, 55 % of all the people surveyed together preferred brand a. what is the total number of people surveyed?
Answer the question using a single word or phrase.

[Assistant] 300

[User]
in what ratio should a 20 % methyl alcohol solution be mixed with a 50 % methyl alcohol solution so that the resultant solution has 40 % methyl alcohol in it?
Answer the question using a single word or phrase.

[Assistant] 1 : 2


[User]
each of the 42 points is placed either inside or on the surface of a perfect sphere. if 65 % or fewer of the points touch the surface, what is the maximum number of segments which, if connected from those points to form chords, could be the diameter of the sphere?
Answer the question using a single word or phrase.

[Assistant] 13

[User]
rs. 800 becomes rs. 956 in 3 years at a certain rate of simple interest. if the rate of interest is increased by 4 %, what amount will rs. 800 become in 3 years.
Answer the question using a single word or phrase.

[Assistant] rupees 1052

[User]
in the rectangular coordinate system, if the line x = 8 y + 5 passes through points ( m, n ) and ( m + 2, n + p ), what is the value of p?
Answer the question using a single word or phrase.

[Assistant] 1 / 4

[User]
a taxi leaves point a 5 hours after a bus left the same spot. the bus is traveling 10 mph slower than the taxi. find the speed of the taxi, if it overtakes the bus in three hours.
Answer the question using a single word or phrase.

[Assistant] 16

[User]
the length of a rectangular landscape is 12 times its breadth. there is a playground in it whose area is 1200 square mtr & which is 1 / 4 rd of the total landscape. what is the length of the landscape?
Answer the question using a single word or phrase.

[Assistant] 240


[User]
if x, y, and z are positive real numbers such that x + y - z = 62, y - z + x = 82, and z - x + y = 100, then find the x + y + z value?
Answer the question using a single word or phrase.

[Assistant] 82

[User]
how many seconds will a 400 metre 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?
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[Assistant] 24

[User]
a 240 meter long train crosses a man standing on the platform in 4 sec. what is the speed of the train?
Answer the question using a single word or phrase.

[Assistant] 216 kmph

[User]
the population of a town is 10000. it decreases annually at the rate of 10 % p. a. what will be its population after 2 years?
Answer the question using a single word or phrase.

[Assistant] 8100

[User]
a boat running downstream covers a distance of 10 km in 3 hr while for covering the same distance upstream, it takes 6 hr. what is the speed of the boat?
Answer the question using a single word or phrase.

[Assistant] 2.5 kmph


[User]
a fort had provision of food for 150 men for 45 days. after 15 days, 25 men left the fort. the number of days for which the remaining food will last, is :
Answer the question using a single word or phrase.

[Assistant] 36

[User]
the length of a room is 8 m and width is 4.75 m. what is the cost of paying the floor by slabs at the rate of rs. 900 per sq. metre.
Answer the question using a single word or phrase.

[Assistant] 34200

[User]
the difference between a two - digit number and the number obtained by interchanging the positions of its digits is 81. what is the difference between the two digits of that number?
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[Assistant] 9

[User]
a certain industrial loom weaves 0.127 meters of cloth every second. approximately how many seconds will it take for the loom to weave 15 meters of cloth?
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[Assistant] 118

[User]
the average marks of a class of 35 students is 45 and that of another class of 55 students is 65. find the average marks of all the students?
Answer the question using a single word or phrase.

[Assistant] 57


[User]
a and b together have $ 100. if 3 / 10 of a's amount is equal to 1 / 5 of b's amount, how much amount does b have?
Answer the question using a single word or phrase.

[Assistant] $ 60

[User]
two cars start from the opposite places of a main road, 150 km apart. first car runs for 30 km and takes a right turn and then runs 15 km. it then turns left and then runs for another 25 km and then takes the direction back to reach the main road. in the mean time, due to minor break down the other car has run only 35 km along the main road. what would be the distance between two cars at this point?
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[Assistant] 60

[User]
if the given two numbers are respectively 6 % and 30 % of a third number, then what percentage is the first of the second?
Answer the question using a single word or phrase.

[Assistant] 20 %

[User]
mary can do a piece of work in 11 days. rosy is 10 % more efficient than mary. the number of days taken by rosy to do the same piece of work is?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
in a certain game of dice, the player ’ s score is determined as a sum of three throws of a single die. the player with the highest score wins the round. if more than one player has the highest score, the winnings of the round are divided equally among these players. if jim plays this game against 24 other players, what is the probability of the minimum score that will guarantee jim some monetary payoff?
Answer the question using a single word or phrase.

[Assistant] 1 / 216


[User]
24 oz of juice p and 25 oz of juice v are mixed to make smothies m and y. the ratio of p to v in smothie m is 4 is to 1 and that in y is 1 is to 5. how many ounces of juice p are contained in the smothie m?
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[Assistant] 20

[User]
a volume of 10940 l water is in a container of sphere. how many hemisphere of volume 4 l each will be required to transfer all the water into the small hemispheres?
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[Assistant] 2735

[User]
a train leaves mumabai at 9 am at a speed of 40 kmph. after one hour, another train leaves mumbai in the same direction as that of the first train at a speed of 80 kmph. when and at what distance from mumbai do the two trains meet?
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[Assistant] 80

[User]
0, 1, 4, 15, 64, ____
Answer the question using a single word or phrase.

[Assistant] 325

[User]
virginia, adrienne, and dennis have taught history for a combined total of 93 years. if virginia has taught for 9 more years than adrienne and for 9 fewer years than dennis, for how many years has dennis taught?
Answer the question using a single word or phrase.

[Assistant] 40


[User]
if the simple interest on a certain sum of money for 5 years is one – fifth of the sum, then the rate of interest per annum is
Answer the question using a single word or phrase.

[Assistant] 4 %

[User]
how many six - digit numbers that do not contain the digits 5 or 8 are there?
Answer the question using a single word or phrase.

[Assistant] 229376

[User]
simplify : 200 x 200 - 150 x 150
Answer the question using a single word or phrase.

[Assistant] 17500

[User]
a batsman in his 17 th innings makes a score of 80 and their by increasing his average by 3. what is his average after the 17 thinnings?
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[Assistant] 30

[User]
a customer bought a product at the shop. however, the shopkeeper increased the price of the product by 10 % so that the customer could not buy the required amount of the product. the customer managed to buy only 90 % of the required amount. what is the difference in the amount of money that the customer paid for the second purchase compared to the first purchase?
Answer the question using a single word or phrase.

[Assistant] 1 %


[User]
a pharmaceutical company received $ 3 million in royalties on the first $ 30 million in sales of and then $ 9 million in royalties on the next $ 120 million in sales. by approximately what percentage did the ratio of royalties to sales decrease from the first $ 30 million in sales to the next $ 120 million in sales?
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[Assistant] 25 %

[User]
in what time will a train 100 m long cross an electric pole, it its speed be 126 km / hr?
Answer the question using a single word or phrase.

[Assistant] 2.85

[User]
youseff lives x blocks from his office. it takes him 1 minute per block to walk to work and 20 seconds per block to ride his bike to work. it is takes him exactly 8 minutes more to walk to work than to ride his bike to work, then x equals?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
there are two names given johnson and jones. if one letter is picked from both simultaneously at random, then find the probability that the letter is same?
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[Assistant] 6 / 35

[User]
the expression ( 11.98 × 11.98 + 11.98 × x + 0.02 × 0.02 ) will be a perfect square for x equal to
Answer the question using a single word or phrase.

[Assistant] 0.04


[User]
when a merchant imported a certain item, he paid a 7 percent import tax on the portion of the total value of the item in excess of $ 1,000. if the amount of the import tax that the merchant paid was $ 101.50, what was the total value of the item?
Answer the question using a single word or phrase.

[Assistant] $ 2,450

[User]
a and b go around a circular track of length 300 m on a cycle at speeds of 18 kmph and 54 kmph. after how much time will they meet for the first time at the starting point?
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[Assistant] 60 sec

[User]
the unit digit in the product 1457 * 7863 * 4575 * 9719 is?
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[Assistant] 5

[User]
tom opened a shop investing rs. 30000. jose joined him 2 months later, investing rs. 45000. they earned a profit of rs. 72000 after completion of one year. what will be jose's share of profit?
Answer the question using a single word or phrase.

[Assistant] 40000

[User]
the average height of 35 boys in a class was calculated as 180 cm. it has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. find the actual average height of the boys in the class ( round off your answer to two decimal places ).
Answer the question using a single word or phrase.

[Assistant] 178.29 cm


[User]
the length of a rectangle is twice its breadth. if its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 70 sq. cm. find the length of the rectangle.
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[Assistant] 18 cm

[User]
a + 2 b = 6, ab = 4 2 / a + 1 / b =?
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[Assistant] 3 / 2

[User]
a man saves a certain portion of his income during a year and spends the remaining portion on his personal expenses. next year his income increases by 20 % but his savings increase by 100 %. if his total expenditure in 2 years is double his expenditure in 1 st year, what % age of his income in the first year did he save?
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[Assistant] 20 %

[User]
a fair 2 sided coin is flipped 6 times. what is the probability that tails will be the result at least twice, but not more than 5 times?
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[Assistant] 7 / 8

[User]
a, b and c started a business with a total investment of rs. 90000. a invests rs. 6000 more than b and b invests rs. 3000 less than c. if the total profit at the end of a year is rs. 8640, find b's share.
Answer the question using a single word or phrase.

[Assistant] rs. 2592


[User]
a leak in the bottom of a tank can empty the full tank in 6 hours. an inlet pipe fills water at the rate of 4 litres a minute. when the tank is full, the inlet is opened and due to the leak the tank is empty in 8 hours. the capacity of the tank ( in litres ) is
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[Assistant] 5760 litres

[User]
how many digits will be there to the right of the decimal point in the product of 95 and. 02554?
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[Assistant] 4

[User]
the average of first 9 odd numbers is?
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[Assistant] 9

[User]
dacid obtained 86, 85, 92, 87 and 95 marks ( out of 100 ) in english, mathematics, physics, chemistry and biology. what are his average marks?
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[Assistant] 89

[User]
david and andrew can finish the work 12 days if they work together. they worked together for 8 days and then andrew left. david finished the remaining work in another 8 days. in how many days david alone can finish the work?
Answer the question using a single word or phrase.

[Assistant] 24 days


[User]
a firm is comprised of partners and associates in a ratio of 2 : 63. if 45 more associates were hired, the ratio of partners to associates would be 1 : 34. how many partners are currently in the firm?
Answer the question using a single word or phrase.

[Assistant] 18

[User]
a, b and c started a partnership business by investing rs. 27000, rs. 72000, rs. 81000 respectively. at the end of the year, the profit were distributed among them. if c's share of profit is 36000, what is the total profit?
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[Assistant] 80000

[User]
a, b, c subscribe rs. 50,000 for a business. a subscribes rs. 4000 more than b and b rs. 5000 more than c. out of a total profit of rs. 30,000, c receives :
Answer the question using a single word or phrase.

[Assistant] s. 7,200

[User]
a pair of articles was bought for $ 50 at a discount of 20 %. what must be the marked price of each of the article?
Answer the question using a single word or phrase.

[Assistant] $ 31.25

[User]
what percentage of numbers from 1 to 60 have 1 or 9 in the unit's digit?
Answer the question using a single word or phrase.

[Assistant] 18.33


[User]
shop offered 32 % offer for every shirt, smith bought a shirt at rs. 650. and what was the shop's original selling price?
Answer the question using a single word or phrase.

[Assistant] 955

[User]
each of the cucumbers in 100 pounds of cucumbers is composed of 99 % water, by weight. after some of the water evaporates, the cucumbers are now 96 % water by weight. what is the new weight of the cucumbers, in pounds?
Answer the question using a single word or phrase.

[Assistant] 25

[User]
a certain elevator has a safe weight limit of 2,500 pounds. what is the greatest possible number of people who can safely ride on the elevator at one time with the average ( arithmetic mean ) weight of half the riders being 150 pounds and the average weight of the others being 160 pounds?
Answer the question using a single word or phrase.

[Assistant] 16

[User]
two trains start from p and q respectively and travel towards each other at a speed of 50 km / hr and 40 km / hr respectively. by the time they meet, the first train has traveled 100 km more than the second. the distance between p and q is?
Answer the question using a single word or phrase.

[Assistant] 900 km

[User]
if grapes are 92 % water and raisins are 20 % water, then how many kilograms did a quantity of raisins, which currently weighs 5 kilograms, weigh when all the raisins were grapes? ( assume that the only difference between their raisin - weight and their grape - weight is water that evaporated during their transformation. )
Answer the question using a single word or phrase.

[Assistant] 50


[User]
a teacher grades students ’ tests by subtracting twice the number of incorrect responses from the number of correct responses. if student a answers each of the 100 questions on her test and receives a score of 70, how many questions did student a answer correctly?
Answer the question using a single word or phrase.

[Assistant] 90

[User]
there are 8 executives, including the ceo and cfo, that are asked to form a small team of 4 members. however, the ceo and cfo may not both be assigned to the team. given this constraint, how many ways are there to form the team?
Answer the question using a single word or phrase.

[Assistant] 55

[User]
redo ’ s manufacturing costs for sets of horseshoes include a $ 10,000 initial outlay, and $ 20 per set. they can sell the sets $ 50. if profit is revenue from sales minus manufacturing costs, and the company producessells 500 sets of horseshoes, what was their profit?
Answer the question using a single word or phrase.

[Assistant] $ 5000

[User]
a 300 meter long train crosses a pla ƞ orm in 39 seconds while it crosses a signal pole in 18 seconds. what is the length of the pla ƞ orm.
Answer the question using a single word or phrase.

[Assistant] 350 meter

[User]
what is the smallest positive integer x such that ( x + 1 ) ^ 2 is divisible by 28, 98, 242, and 308?
Answer the question using a single word or phrase.

[Assistant] 153


[User]
18 men shake hands with each other. maximum no of handshakes without cyclic handshakes.
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[Assistant] 153

[User]
a dishonest dealer professes to sell goods at the cost price but uses a weight of 700 grams per kg, what is his percent?
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[Assistant] 42.8 %

[User]
? x 120 = 173 x 240
Answer the question using a single word or phrase.

[Assistant] 346

[User]
in a soap company a soap is manufactured with 11 parts. for making one soap you will get 1 part as scrap. at the end of the day you have 251 such scraps. from that how many soaps can be manufactured?
Answer the question using a single word or phrase.

[Assistant] 25

[User]
a sum of rs. 2665 is lent into two parts so that the interest on the first part for 8 years at 3 % per annum may be equal to the interest on the second part for 3 years at 5 % per annum. find the second sum?
Answer the question using a single word or phrase.

[Assistant] 1640


[User]
in a survey of parents, exactly 3 / 4 of the mothers and 9 / 10 of the fathers held full - time jobs. if 40 percent of the parents surveyed were women, what percent of the parents did not hold full - time jobs?
Answer the question using a single word or phrase.

[Assistant] 16 %

[User]
a garrison of 1850 men has provisions for 28 days. at the end of 12 days, a reinforcement arrives, and it is now found that the provisions will last only for 10 days more. what is the reinforcement?
Answer the question using a single word or phrase.

[Assistant] 1110

[User]
a certain sum is invested at simple interest at 18 % p. a. for two years instead of investing at 12 % p. a. for the same time period. therefore the interest received is more by rs. 240. find the sum?
Answer the question using a single word or phrase.

[Assistant] 2000

[User]
a train 150 m long is running at a speed of 62 kmph. how long does it take to pass a man who is running at 8 kmph in the same direction as the train?
Answer the question using a single word or phrase.

[Assistant] 10 sec

[User]
the length of a rectangular plot is thrice its width. if the area of the rectangular plot is 588 sq meters, then what is the width ( in meters ) of the rectangular plot?
Answer the question using a single word or phrase.

[Assistant] 14


[User]
jamshid can paint a fence in 50 percent less time than taimour can when each works alone. when they work together, they can paint the fence in 5 hours. how long would it take taimour to paint the fence alone?
Answer the question using a single word or phrase.

[Assistant] 15 hours

[User]
a group of boy scouts and girls scouts is going on a rafting trip. 45 % of the scouts arrived with signed permission slips. if 60 % of the scouts were boy scouts and 25 % of the boy scouts arrived with signed permission slips, then what percentage of the scouts were girl scouts who arrived with signed permission slips?
Answer the question using a single word or phrase.

[Assistant] 30

[User]
two dice are thrown simultaneously. what is the probability of getting two numbers whose product is even?
Answer the question using a single word or phrase.

[Assistant] 3 / 4

[User]
when sold at a 40 % discount, a sweater nets the merchant a 20 % profit on the wholesale cost at which he initially purchased the item. by what % is the sweater marked up from wholesale at its normal retail price?
Answer the question using a single word or phrase.

[Assistant] 100 %

[User]
a man can row upstream at 15 kmph and downstream at 25 kmph, and then find the speed of the man in still water?
Answer the question using a single word or phrase.

[Assistant] 20


[User]
workers decided to raise rs. 3 lacs by equal contribution from each. had they contributed rs. 50 eachextra, the contribution would have been rs. 3.60 lacs. how many workers were they?
Answer the question using a single word or phrase.

[Assistant] 1200

[User]
evaluate : 983 x 207 - 983 x 107
Answer the question using a single word or phrase.

[Assistant] 98300

[User]
find value of x : 3 x ^ 2 + 5 x + 2 = 0
Answer the question using a single word or phrase.

[Assistant] - 1

[User]
the probability that a computer company will get a computer hardware contract is 3 / 4 and the probability that it will not get a software contract is 3 / 5. if the probability of getting at least one contract is 4 / 5, what is the probability that it will get both the contracts?
Answer the question using a single word or phrase.

[Assistant] 7 / 20

[User]
if a coin has an equal probability of landing heads up or tails up each time it is flipped, what is the probability that the coin will land tails up exectly twice in 3 consecutive flips?
Answer the question using a single word or phrase.

[Assistant] 0.375


[User]
the average weight of a class is x pounds. when a new student weighing 100 pounds joins the class, the average decreases by 1 pound. in a few months the student ’ s weight increases to 110 pounds and the average weight of the class becomes x + 4 pounds. none of the other students ’ weights changed. what is the value of x?
Answer the question using a single word or phrase.

[Assistant] 92

[User]
each of 3 investments has a 20 % of becoming worthless within a year of purchase, independently of what happens to the other two investments. if simone invests an equal sum v in each of these 3 investments on january 1, the approximate chance that by the end of the year, she loses no more than 1 / 3 of her original investment is
Answer the question using a single word or phrase.

[Assistant] 90 %

[User]
a man owns 2 / 3 of market reserch beauro buzness, and sells 3 / 4 of his shares for 75000 rs, what is the value of buzness?
Answer the question using a single word or phrase.

[Assistant] 150000

[User]
on a certain day, joey, the ice - cream seller sold his ice creams to 4 different kids in a manner that each of the kids purchased half of the remaining ice creams and half ice - cream more. if we tell you that the fourth kid bought just a single ice cream, can you find out how many ice creams were sold by joey that day?
Answer the question using a single word or phrase.

[Assistant] 15

[User]
the population of a town is 7900. it decreases annually at the rate of 10 % p. a. what was its population 2 years ago?
Answer the question using a single word or phrase.

[Assistant] 9750


[User]
a 160 meter long train crosses a man standing on the platform in 12 sec. what is the speed of the train?
Answer the question using a single word or phrase.

[Assistant] 48 kmph

[User]
9 log 9 ( 5 ) =?
Answer the question using a single word or phrase.

[Assistant] 5

[User]
the unit digit in the product ( 124 * 812 * 816 * 467 ) is :
Answer the question using a single word or phrase.

[Assistant] 6

[User]
if a truck is traveling at a constant rate of 72 kilometers per hour, how many seconds will it take the truck to travel a distance of 600 meters? ( 1 kilometer = 1000 meters )
Answer the question using a single word or phrase.

[Assistant] 30

[User]
the total cost of a vacation was divided among 3 people. if the total cost of the vacation had been divided equally among 4 people, the cost per person would have been $ 40 less. what was the total cost cost of the vacation?
Answer the question using a single word or phrase.

[Assistant] $ 480


[User]
a certain mixture of nuts consists of 5 parts almonds to 2 parts walnuts, by weight. what is the number of pounds of almonds in 150 pounds of the mixture?
Answer the question using a single word or phrase.

[Assistant] 107

[User]
a, b and c, each working alone can complete a job in 6, 8 and 12 days respectively. if all three of them work together to complete a job and earn $ 2340, what will be c's share of the earnings?
Answer the question using a single word or phrase.

[Assistant] $ 520

[User]
in the coordinate plane, points ( x, 1 ) and ( 5, y ) are on line k. if line k passes through the origin and has slope 1 / 5, then what are the values of x and y respectively?
Answer the question using a single word or phrase.

[Assistant] 5 and 1

[User]
one fourth of a solution that was 13 % salt by weight was replaced by a second solution resulting in a solution that was 16 percent sugar by weight. the second solution was what percent salt by weight?
Answer the question using a single word or phrase.

[Assistant] 25 %

[User]
if daily wages of a man is double to that of a woman, how many men should work for 25 days to earn rs. 14400? given that wages for 40 women for 30 days are rs. 21600.
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[Assistant] 16


[User]
5020 − ( 502 ÷ 100.4 ) =?
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[Assistant] 5015

[User]
the average of 10 numbers is calculated as 46. it is discovered later on that while calculating the average, the number 65 was incorrectly read as 25, and this incorrect number was used in the calculation. what is the correct average?
Answer the question using a single word or phrase.

[Assistant] 50

[User]
a part - time employee whose hourly wage was decreased by 20 percent decided to increase the number of hours worked per week so that the employee's total income did not change. by what percent w should the number of hours worked be increased?
Answer the question using a single word or phrase.

[Assistant] 25 %

[User]
john spends $ 320 buying his favorite dolls. if he buys only small monkey dolls, which are $ 4 cheaper than the large monkey dolls, he could buy 40 more dolls than if he were to buy only large monkey dolls. how much does a large monkey doll cost?
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[Assistant] $ 8

[User]
the number 110 can be written as sum of the squares of 3 different positive integers. what is the sum of these 3 different integers?
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[Assistant] 18


[User]
two trains, each 100 m long, moving in opposite directions, cross other in 12 sec. if one is moving twice as fast the other, then the speed of the faster train is?
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[Assistant] 40 km / hr

[User]
a profit of rs. 1000 is divided between x and y in the ratio of 1 / 2 : 1 / 3. what is the difference between their profit shares?
Answer the question using a single word or phrase.

[Assistant] s. 200

[User]
there is a total of 120 marbles in a box, each of which is red, green, blue, or white. if one marble is drawn from the box at random, the probability that it will be white is 1 / 4 and the probability that it will be green is 1 / 3. what is the probability that the marble will be either red or blue?
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[Assistant] 5 / 12

[User]
three pipes of same capacity can fill a tank in 8 hours. if there are only two pipes of same capacity, the tank can be filled in?
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[Assistant] 12 hours

[User]
if a 2 + b 2 + c 2 = 941 and ab + bc + ca = 10, then a + b + c is
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[Assistant] 31


[User]
what is the tens digit of 6 ^ 18?
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[Assistant] 1

[User]
if dev works alone he will take 20 more hours to complete a task than if he worked with tina to complete the task. if tina works alone, she will take 5 more hours to complete the complete the task, then if she worked with dev to complete the task? what is the ratio of the time taken by dev to that taken by tina if each of them worked alone to complete the task?
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[Assistant] 2 : 1

[User]
a train 140 m long is running with a speed of 50 km / hr. in what time will it pass a man who is running at 4 km / hr in the direction opposite to that in which the train is going?
Answer the question using a single word or phrase.

[Assistant] 9.33

[User]
a train 110 m long is running with a speed of 40 km / hr. in what time will it pass a man who is running at 5 km / hr in the direction opposite to that in which the train is going?
Answer the question using a single word or phrase.

[Assistant] 8.8

[User]
john and steve are speed walkers in a race. john is 15 meters behind steve when he begins his final push. john blazes to the finish at a pace of 4.2 m / s, while steve maintains a blistering 3.8 m / s speed. if john finishes the race 2 meters ahead of steve, how long was john ’ s final push?
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[Assistant] 42.5 seconds


[User]
an error 2.5 % in excess is made while measuring the side of a square. the percentage of error in the calculated area of the square is
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[Assistant] 5.0625 %

[User]
the average of 10 consecutive integers is 20. then, 9 is deducted from the first consecutive number, 8 is deducted from the second, 7 is deducted form the third, and so on until the last number which remains unchanged. what is the new average?
Answer the question using a single word or phrase.

[Assistant] 15.5

[User]
a person decided to build a house in 100 days. he employed 100 men in the beginning and 100 more after 10 days and completed the construction in stipulated time. if he had not employed the additional men, how many days behind schedule would it have been finished?
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[Assistant] 90

[User]
suresh can complete a job in 15 hours. ashutosh alone can complete the same job in 30 hours. suresh works for 9 hours and then the remaining job is completed by ashutosh. how many hours will it take ashutosh to complete the remaining job alone?
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[Assistant] 12

[User]
if a rectangular room measures 10 meters by 5 meters by 4 meters, what is the volume of the room in cubic centimeters? ( 1 meter = 100 centimeters )
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[Assistant] 200, 000,000


[User]
only a single rail track exists between stations a and b on a railway line. one hour after the north bound super fast train n leaves station a for station b, a south - bound passenger train s reaches station a from station b. the speed of the super fast train is twice that of a normal express train e, while the speed of a passenger train s is half that of e. on a particular day, n leaves for b from a, 20 min behind the normal schedule. in order to maintain the schedule, both n and s increased their speeds. if the super fast train doubles its speed, what should be the ratio ( approximately ) of the speeds of passenger train to that of the super fast train so that the passenger train s reaches exactly at the scheduled time at a on that day?
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[Assistant] 1 : 6

[User]
a can complete a project in 20 days and b can complete the same project in 30 days. if a and b start working on the project together and a quits 15 days before the project is completed, in how many days total will the project be completed?
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[Assistant] 21

[User]
how many positive integers less than 200 are there such that they are multiples of 13 or multiples of 14?
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[Assistant] 28

[User]
there are 2 sections a and b in a class, consisting of 36 and 24 students respectively. if the average weight of section a is 30 kg and that of section b is 30 kg, find the average of the whole class?
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[Assistant] 30 kg

[User]
sarah is driving to the airport. after driving at 25 miles per hour for one hour, she realizes that if she continues at that same average rate she will be an hour late for her flight. she then travels 50 miles per hour for the rest of the trip, and arrives 30 minutes before her flight departs. how many miles did she drive in all?
Answer the question using a single word or phrase.

[Assistant] 100


[User]
two trains start from p and q respectively and travel towards each other at a speed of 50 km / hr and 40 km / hr respectively. by the time they meet, the first train has travelled 100 km more than the second. the distance between p and q is :
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[Assistant] 900 km

[User]
a is thrice as good a workman as b and takes 10 days less to do a piece of work than b takes. b alone can do the whole work in
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[Assistant] 15 days

[User]
the difference between simple and compound interest on rs. 1500 for one year at 10 % per annum reckoned half - yearly is?
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[Assistant] 3.75

[User]
in a class, 12 students like to play basketball and 8 like to play cricket. 3 students like to play on both basketball and cricket. how many students like to play basketball or cricket or both?
Answer the question using a single word or phrase.

[Assistant] 17

[User]
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?
Answer the question using a single word or phrase.

[Assistant] 1 / 3


[User]
a train ride from two p to town q costs $ 6.35 more than does a bus ride from town p to town q. together, the cost of one train ride and one bus ride is $ 9.85. what is the cost of a bus ride from town p to town q?
Answer the question using a single word or phrase.

[Assistant] $ 1.75

[User]
a drink vendor has 10 liters of maaza, 144 liters of pepsi and 368 liters of sprite. he wants to pack them in cans, so that each can contains the same number of liters of a drink, and does n't want to mix any two drinks in a can. what is the least number of cans required?
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[Assistant] 261

[User]
if 40 % of a certain number is 160, then what is 30 % of that number?
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[Assistant] 120

[User]
if the sum of two numbers is 45 and the l. c. m and sum of the reciprocal of the numbers are 120 and 11 / 120 then hcf of numbers is equal to :
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[Assistant] 5

[User]
find the missing figures : 0.1 % of? = 0.24
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[Assistant] 240


[User]
there has been successive increases of 25 % and then 10 % in the price of gas from the previous month. by what percentage should a driver reduce gas consumption so that the expenditure does not change?
Answer the question using a single word or phrase.

[Assistant] 27 %

[User]
pipe a can fill a tank in 60 min. there is a second pipe in the bottom of the cistern to empty it. if all the two pipes are simultaneously opened, then the cistern is full in 180 min. in how much time, the second pipe alone can empty the cistern?
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[Assistant] 45 min

[User]
a dishonest dealer claims to sell a product at its cost price. he uses a counterfeit weight which is 20 % less than the real weight. further greed overtook him and he added 35 % impurities to the product. find the net profit percentage of the dealer?
Answer the question using a single word or phrase.

[Assistant] 68.75 %

[User]
nina has exactly enough money to purchase 6 widgets. if the cost of each widget were reduced by $ 2, then nina would have exactly enough money to purchase 8 widgets. how much money does nina have?
Answer the question using a single word or phrase.

[Assistant] $ 48

[User]
according to a recent student poll, 3 / 4 out of 20 members of the finance club are interested in a career in investment banking. if two students are chosen at random, what is the probability that at least one of them is interested in investment banking?
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[Assistant] 18 / 19


[User]
there are 4 red shoes & 4 green shoes. if two of red shoes are drawn what is the probability of getting red shoes
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[Assistant] 3 / 14

[User]
ram, who is half as efficient as krish, will take 30 days to complete a task if he worked alone. if ram and krish worked together, how long will they take to complete the task?
Answer the question using a single word or phrase.

[Assistant] 10 days

[User]
of the final grades received by the students in a certain math course, 1 / 5 are a's, 1 / 4 are b's, 1 / 2 are c's, and the remaining 5 grades are d's. what is the number of students in the course?
Answer the question using a single word or phrase.

[Assistant] 100

[User]
the captain of a cricket team of 11 members is 26 years old and the wicket keeper is 11 years older. if the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. what is the average age of the team?
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[Assistant] 27 years

[User]
the area of one square is x ^ 2 + 12 x + 36 and the area of another square is 4 x ^ 2 − 12 x + 9. if the sum of the perimeters of both squares is 64, what is the value of x?
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[Assistant] 4.3


[User]
in one hour, a boat goes 6 km along the stream and 2 km against the stream. the sped of the boat in still water ( in km / hr ) is :
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[Assistant] 4

[User]
on the first day of her vacation, louisa traveled 200 miles. on the second day, traveling at the same average speed, she traveled 350 miles. if the 200 - mile trip took 3 hours less than the 350 - mile trip, what was the average speed, in miles per hour?
Answer the question using a single word or phrase.

[Assistant] 50

[User]
while working alone at their respective constant rates, server g uploads 480 files in 4 hours and server y uploads 480 files in 8 hours. if all files uploaded by these servers are the same size, how long would it take the two servers, working at the same time and at their respective constant rates, to process a total of 480 files?
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[Assistant] 2 hr 40 min

[User]
two numbers are respectively 40 % and 60 % more than a third number. what percentage is the first of the second?
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[Assistant] 87.5 %

[User]
if rs. 578 be divided among a, b, c in such a way that a gets 2 / 3 of what b gets and b gets 1 / 4 of what c gets, then their shares are respectively?
Answer the question using a single word or phrase.

[Assistant] s. 408


[User]
the ratio between the number of sheep and the number of horses at the stewar farm is 6 to 7. if each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day. what is number sheep in the form??
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[Assistant] 48

[User]
a man swims downstream 40 km and upstream 56 km taking 8 hours each time, what is the speed of the man in still water?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
4 / 6 of the population of the country of venezia lives in montague province, while the rest lives in capulet province. in the upcoming election, 80 % of montague residents support romeo, while 70 % of capulet residents support juliet ; each resident of venezia supports exactly one of these two candidates. rounded if necessary to the nearest percent, the probability that a juliet supporter chosen at random resides in capulet is
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[Assistant] 64 %

[User]
if a certain number x is divided by 82, the reminder is 5. what is the reminder when x + 3 is divided by 41?
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[Assistant] 18

[User]
alfred buys an old scooter for $ 4400 and spends $ 800 on its repairs. if he sells the scooter for $ 5800, his gain percent is?
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[Assistant] 11.5 %


[User]
a 1100 m long train crosses a tree in 110 sec, how much time will it take to pass a platform 700 m long?
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[Assistant] 180

[User]
if rs. 440 amount to rs. 540 in 4 years, what will it amount to in 6 years at the same rate % per annum?
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[Assistant] s. 590

[User]
what is the remainder when 43 ^ 92 is divided by 5?
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[Assistant] 1

[User]
the average weight of 29 students is 28 kg. by the admission of a new student, the average weight is reduced to 27.8 kg. the weight of the new student is
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[Assistant] 22 kg

[User]
in the quadratic equation ax 2 - x - 12 = 0, if the sum of two roots is 1, what is the product of the two roots?
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[Assistant] - 12


[User]
a book is bought for $ 60 and sold for $ 63. what is the profit in percentage?
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[Assistant] 5

[User]
for any integer n greater than 1, n * denotes the product of all the integers from 1 to n, inclusive. how many prime numbers e are there between 6 * + 2 and 6 * + 6, inclusive?
Answer the question using a single word or phrase.

[User]
in the science city, kolkata the rate of the ticket is increased by 50 % to increased the revenue but simultaneously 20 % of the visitor decreased. what is percentage change in the revenue. if it is known that the science city collects one revenue only from the visitors and it has no other financial supports :
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[Assistant] + 20 %

[User]
81 * 82 * 83 * 84 * 85 * 86 * 87 * 89. what should be in the unit place in this product?
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[Assistant] 0

[User]
how many zeros does 500! end with?
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[Assistant] 124


[User]
if the sum of two positive integers is 12 and the difference of their squares is 48, what is the product of the two integers?
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[Assistant] 32

[User]
john makes $ 50 a week from his job. he earns a raise and now makes $ 80 a week. what is the % increase?
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[Assistant] 60 %

[User]
a man can row downstream at 16 kmph and upstream at 10 kmph. find the speed of the man in still water and the speed of stream respectively?
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[Assistant] 3

[User]
a pet store regularly sells pet food at a discount of 10 percent to 30 percent from the manufacturer ’ s suggested retail price. if during a sale, the store discounts an additional 20 percent from the discount price, what would be the lowest possible price of a container of pet food that had a manufacturer ’ s suggested retail price o f $ 45.00?
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[Assistant] $ 25.20

[User]
in a group of 150 people, 90 have an age of more 30 years, and the others have an age of less than 20 years. if a person is selected at random from this group, what is the probability the person's age is less than 20?
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[Assistant] 0.4


[User]
the sum of the first 50 positive even integers is 2550. what is the sum of the even integers from 202 to 300 inclusive?
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[Assistant] 12,550

[User]
the average weight of 8 person's increases by 3 kg when a new person comes in place of one of them weighing 65 kg. what might be the weight of the new person?
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[Assistant] 89 kg

[User]
a dishonest dealer claims to sell a product at its cost price. he uses a counterfeit weight which is 20 % less than the real weight. further greed overtook him and he added 15 % impurities to the product. find the net profit percentage of the dealer?
Answer the question using a single word or phrase.

[Assistant] 43.75 %

[User]
if it is assumed that 65 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed?
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[Assistant] 461.5

[User]
a train covers a distance of 14 km in 10 min. if it takes 6 sec to pass a telegraph post, then the length of the train is?
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[Assistant] m


[User]
eight identical machines can produce 360 aluminum cans per hour. if all of the machines work at the same constant rate, how many cans could 5 such machines produce in 2 hours?
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[Assistant] 450

[User]
one hour after yolanda started walking from x to y, a distance of 31 miles, bob started walking along the same road from y to x. if yolanda's walking rate was 3 miles per hour and bob т's was 4 miles per hour, how many miles had bob walked when they met?
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[Assistant] 16

[User]
two persons a and b can complete a piece of work in 30 days and 45 days respectively. if they work together, what part of the work will be completed in 5 days?
Answer the question using a single word or phrase.

[Assistant] 5 / 18

[User]
a retail appliance store priced a video recorder at 20 percent above the wholesale cost of $ 200. if a store employee applied the 25 percent employee discount to the retail price to buy the recorder, how much did the employee pay for the recorder?
Answer the question using a single word or phrase.

[Assistant] $ 180

[User]
789.009 -? + 56.84 = 215.943
Answer the question using a single word or phrase.

[Assistant] 629.906


[User]
an seller earns an income of re 3 on the first day of his business. on every subsequent day, he earns an income which is just thrice of that made on the previous day. on the 15 th day of business, he earns an income of :
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[Assistant] 36

[User]
how much 80 % of 40 is greater than 10 % of 15?
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[Assistant] 17

[User]
in a certain pond, 50 fish were caught, tagged, and returned to the pond. a few days later, 50 fish were caught again, of which 10 were found to have been tagged. if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?
Answer the question using a single word or phrase.

[Assistant] 250

[User]
a can finish a work in 12 days, b in 9 days and c in 2 days, b and c start the work but are forced to leave after 3 days. the remaining work was done by a in?
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[Assistant] 5 days

[User]
75 boys can complete a job in 24 days. how many men need to complete the job twice in 20 days
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[Assistant] 180


[User]
on june 1 a bicycle dealer noted that the number of bicycles in stock had decreased by 4 for each of the past 5 months. if the stock continues to decrease at the same rate for the rest of the year, how many fewer bicycles will be in stock on december 1 than were in stock on january 1?
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[Assistant] 44

[User]
there are 760 students in a school. the ratio of boys and girls in this school is 3 : 5. find the total of girls & boys are there in this school?
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[Assistant] 475

[User]
a contractor is engaged for 30 days on the condition that he receives rs. 25 for eachday he works & is fined rs. 7.50 for each day is absent. he gets rs. 425 in all. for how many days was heabsent?
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[Assistant] 10

[User]
if a dozen of oranges cost $ 5, what would be the cost of 10 oranges?
Answer the question using a single word or phrase.

[Assistant] 4.16

[User]
the perimeter of one square is 48 cm and that of another is 36 cm. find the perimeter and the diagonal of a square which is equal in area to these two combined?
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[Assistant] 15 √ 2


[User]
the length of the bridge, which a train 160 meters long and travelling at 45 km / hr can cross in 30 seconds, is?
Answer the question using a single word or phrase.

[Assistant] 215 m

[User]
a car that moves at an average speed of 60 kmph, reaches its destination on time. when its average speed becomes 50 kmph, then it reaches its destination 45 minutes late. find the length of journey.
Answer the question using a single word or phrase.

[Assistant] 225 km

[User]
one pipe can fill a tank in 15 hour. but because of hole in a tank, this tank fill in 20 hour. so in how much time this hole will empty the full tank?
Answer the question using a single word or phrase.

[Assistant] 60

[User]
the ratio of the volumes of two cubes is 125 : 1728. what is the ratio of their total surface areas?
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[Assistant] 25 : 144

[User]
moli buys 3 ribbons, 7 clips and 1 soap for rs. 120 exactly. at the same place it would cost rs. 164 for 4 ribbons, 10 clips and one soap. how much would it cost for one ribbon, one clip and one soap?
Answer the question using a single word or phrase.

[Assistant] 32


[User]
the speed of a train is 90 kmph. what is the distance covered by it in 5 minutes?
Answer the question using a single word or phrase.

[Assistant] 7.5

[User]
a rainstorm increased the amount of water stored in state j reservoirs from 124 billion gallons to 140 billion gallons. if the storm increased the amount of water in the reservoirs to 80 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm?
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[Assistant] 51

[User]
if ( m - 8 ) is a factor of m ^ 2 - km - 24, then k =
Answer the question using a single word or phrase.

[Assistant] 5

[User]
a box contains either blue or red flags. the total number of flags in the box is an even number. a group of children are asked to pick up two flags each. if all the flags are used up in the process such that 60 % of the children have blue flags, and 70 % have red flags, what percentage of children have flags of both the colors?
Answer the question using a single word or phrase.

[Assistant] 30 %

[User]
a dog breeder currently has 9 breeding dogs. 6 of the dogs have exactly 1 littermate, and 3 of the dogs have exactly 2 littermates. if 2 dogs are selected at random, what is the probability w that both selected dogs are not littermates?
Answer the question using a single word or phrase.

[Assistant] 5 / 6


[User]
how many 4 - digit positive integers are there, where each digit is positive, and no 4 adjacent digits are same?
Answer the question using a single word or phrase.

[Assistant] 3024

[User]
p can do a work in 15 days and q cando the same work in 20 days. if they can work together for 4 days, what is the fraction of work left?
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[Assistant] 8 / 15

[User]
how many of the integers between 25 and 95 are even?
Answer the question using a single word or phrase.

[Assistant] 35

[User]
the sale price shirts listed for rs. 400 after successive discount is 10 % and 5 % is?
Answer the question using a single word or phrase.

[Assistant] 342

[User]
village x has a population of 78000, which is decreasing at the rate of 1200 per year. village y has a population of 42000, which is increasing at the rate of 800 per year. in how many years will the population of the two villages be equal?
Answer the question using a single word or phrase.

[Assistant] 18


[User]
if a whole number n is divided by 4, we will get 3 as remainder. what will be the remainder if 2 n is divided by 4?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
in an election between two candidates, one got 55 % of the total valid votes, 20 % of the votes were invalid. if the total number of votes was 4000, the number of valid votes that the other candidate got, was :
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[Assistant] 1800

[User]
a invested $ 300 in a business after 6 months b invested $ 200 in the business. end of the year if they got $ 100 as profit. find a shares?
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[Assistant] $ 75

[User]
a hat company ships its hats, individually wrapped, in 8 - inch by 10 - inch by 12 - inch boxes. each hat is valued at $ 7.50. if the company ’ s latest order required a truck with at least 336,000 cubic inches of storage space in which to ship the hats in their boxes, what was the minimum value of the order?
Answer the question using a single word or phrase.

[Assistant] $ 2,625

[User]
the sum of 77 consecutive integers is 7777. what is the greatest integer in the set?
Answer the question using a single word or phrase.

[Assistant] 139


[User]
a side of beef lost 20 percent of its weight in processing. if the side of beef weighed 640 pounds after processing, how many pounds did it weigh before processing?
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[Assistant] 800

[User]
two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. the ratio of their speeds is?
Answer the question using a single word or phrase.

[Assistant] 3 / 2

[User]
the cost price of 16 articles is the same as the selling price of 12 articles. find the loss / profit percentages.
Answer the question using a single word or phrase.

[Assistant] 33 1 / 3 %

[User]
selling an kite for rs. 30, a shop keeper gains 30 %. during a clearance sale, the shopkeeper allows a discount of 10 % on the marked price. his gain percent during the sale is?
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[Assistant] 17 %

[User]
the manufacturing cost of a shoe is rs. 220 and the transportation lost is rs. 500 for 100 shoes. what will be the selling price if it is sold at 20 % gains
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[Assistant] s 270


[User]
a grocer has a sale of rs. 5124, rs. 5366, rs. 5808, rs. 5399 and rs. 6124 for 5 consecutive months. how much sale must he have in the sixth month so that he gets an average sale of rs. 5400?
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[Assistant] 4579

[User]
one bacterium splits into 8 bacteria of the next generation. but due to environment, only 50 % of one generation can produced the next generation. if the seventh generation number is 4096 million, what is the number in first generation?
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[Assistant] 1 million

[User]
xavier, yvonne, and zelda each try independently to solve a problem. if their individual probabilities for success are 1 / 4, 1 / 3 and 5 / 8, respectively, what is the probability that xavier and yvonne, but not zelda, will solve the problem?
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[Assistant] 1 / 32

[User]
a class has a ratio of 3 : 6 : 7 of children with red hair, blonde hair and black hair respectively. if the class has 9 kids with red hair, how many kids are there with black hair?
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[Assistant] 21

[User]
a walks at 10 kmph and 5 hours after his start, b cycles after him at 20 kmph. how far from the start does b catch up with a?
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[Assistant] 100 km


[User]
evaluate : 28 % of 400 + 45 % of 250
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[Assistant] 224.5

[User]
a rope of which a calf is tied is increased from 10 m to 20 m, how much additional grassy ground shall it graze?
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[Assistant] 942.86

[User]
a card is drawn from a pack of 52 cards. the probability of getting a queen of club or a king of heart is :
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[Assistant] 1 / 26

[User]
a man can row 8 kmph in still water. when the river is running at 1.8 kmph, it takes him 2 hour to row to a place and back. what is the total distance traveled by the man?
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[Assistant] 7.6 km

[User]
a person buys an article at $ 800. at what price should he sell the article so as to make a profit of 12 %?
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[Assistant] 990


[User]
if m = 3 ^ n, what is the greatest value of n for which m is a factor of 25!
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[Assistant] 10

[User]
jane makes toy bears. when she works with an assistant, she makes 44 percent more bears per week and works 10 percent fewer hours each week. having an assistant increases jane ’ s output of toy bears per hour by what percent?
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[Assistant] 60 %

[User]
two trains are moving in the same direction at 108 kmph and 36 kmph. the faster train crosses the slower train in 17 seconds. find the length of the faster train in meters.
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[Assistant] 340 m

[User]
how many seconds will a 500 metre 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?
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[Assistant] 30

[User]
if 5 < x < 8 < y < 13, then what is the greatest possible positive integer difference of x and y?
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[Assistant] 7


[User]
in a garden, 26 trees are planted at equal distances along a yard 500 metres long, one tree being at each end of the yard. what is the distance between two consecutive trees?
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[Assistant] 20

[User]
a lent rs. 5000 to b for 2 years and rs. 3000 to c for 4 years on simple interest at the same rate of interest and received rs. 2200 in all from both of them as interest. the rate of interest per annum is :
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[Assistant] 10 %

[User]
12 + 6 = 792 10 + 2 = 110 1 + 9 = 9 2 + 7 = 16 11 + 4 =?? solve it?
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[Assistant] 154

[User]
at a certain high school, the senior class is 3 times the size of the junior class. if 1 / 3 of the seniors and 3 / 4 of the juniors study japanese, what fraction of the students in both classes study japanese?
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[Assistant] 7 / 16

[User]
a squirrel runs up a cylindrical post, in a perfect spiral path making one circuit for each rise of 4 feet. how many feet does the squirrel travels if the post is 12 feet tall and 3 feet in circumference?
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[Assistant] 9 feet


[User]
evaluate 2 + 22 + 222 + 2.22
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[Assistant] 248.22

[User]
the least number which when increased by 7 each divisible by each one of 24, 32, 36 and 54 is :
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[Assistant] 857

[User]
what is the area of a square field whose diagonal of length 12 m?
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[Assistant] 72

[User]
at a contest with 3,500 participants, 1 / 2 of the people are aged 18 to 22. next year, the number of people aged 18 to 22 will increase by 1 / 7. after this change, what percentage of the total 3,500 people will the 18 - to 22 - year - olds represent?
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[Assistant] 57.14 %

[User]
a recipe requires 2 1 / 2 ( mixed number ) cups of flour 2 3 / 4 ( mixed number ) cups of sugar and 1 1 / 3 ( mixed number ) cups of milk to make one cake. victor has 15 cups if flour, 16 cups of sugar and 8 cups of milk. what is the greatest number of cakes jerry can make using this recipe?
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[Assistant] 5


[User]
daniel went to a shop and bought things worth rs. 25, out of which 30 paise went on sales tax on taxable purchases. if the tax rate was 6 %, then what was the cost of the tax free items?
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[Assistant] 19.7

[User]
the sum of the present age of henry and jill is 40. what is their present ages if 11 years ago henry was twice the age of jill?
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[Assistant] and 23

[User]
if log 2 = 0.3010 and log 3 = 0.4771, the value of log 5 512 is :
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[Assistant] 3.876

[User]
a is half good a work man as b and together they finish a job in 18 days. in how many days working alone b finish the job?
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[Assistant] 27

[User]
rs. 1500 is divided into two parts such that if one part is invested at 6 % and the other at 5 % the whole annual interest from both the sum is rs. 84. how much was lent at 5 %?
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[Assistant] 600


[User]
an engine moves at the speed of 60 kmph without any coaches attached to it. speed of the train reduces at the rate that varies directly as the square root of the number of coaches attached. when 4 coaches are attached speed decreases to 48 kmph. what will be the speed of train when 36 coaches are attached.
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[Assistant] 24

[User]
you and your friend spent a total of $ 15 for lunch. your friend spent $ 5 more than you. how much did your friend spend on their lunch?
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[Assistant] $ 10

[User]
the rear – most end of a 66 foot truck exits a 330 foot tunnel exactly 6 seconds after the front – most end of the truck entered the tunnel. if the truck traveled the entire tunnel at a uniform speed, what is the speed of the truck in miles per hour ( 1 mile = 5,280 feet )?
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[Assistant] 45

[User]
the length of a room is 5.5 m and width is 3.75 m. find the cost of paving the floor by slabs at the rate of rs. 800 per sq. metre.
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[Assistant] rs. 16500

[User]
2 men and 2 women are lined up in a row. what is the number of cases where they stand with each other in turn? ( the number of cases in which men ( or women ) do not stand next to each other )
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[Assistant] 4