[User]
if 75 % of a boys answered the first question on a certain test correctly, 55 % answered the second question on the test correctly, and 20 % answered neither of the questions correctly, what % answered both correctly?
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[Assistant] 50 %

[User]
the sum of ages of 5 children born at the intervals of 3 years each is 50 years. find out the age of the youngest child?
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[Assistant] 4

[User]
if the volume of two cubes are in the ratio 27 : 8, the ratio of their edges is :
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[Assistant] 3 : 2

[User]
a trained covered x km at 40 kmph and another 2 x km at 20 kmph. find the average speed of the train in covering the entire 6 x km.
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[Assistant] 48 kmph

[User]
mary works in a restaurant a maximum of 45 hours. for the first 20 hours, she is paid $ 8 per hour. for each overtime hour, she is paid at a rate which is 25 % higher than her regular rate. how much mary can earn in a week?
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[Assistant] 410


[User]
a 20 % stock yielding 8 % is quoted at?
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[Assistant] 250

[User]
two stations a and b are 110 km apart on a straight line. one train starts from a at 9 a. m. and travels towards b at 20 kmph. another train starts from b at 8 a. m. and travels towards a at a speed of 25 kmph. at what time will they meet?
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[Assistant] 12

[User]
annie and sam set out together on bicycles traveling at 15 and 12 km per hour respectively. after 40 minutes, annie stops to fix a flat tire. if it takes annie 25 minutes to fix the flat tire and sam continues to ride during this time, how many minutes will it take annie to catch up with sam assuming that annie resumes riding at 15 km per hour?
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[Assistant] 60

[User]
if 5 a = 3125, then the value of 5 ( a - 3 ) is
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[Assistant] 25

[User]
if the area of a circle is 100 pi square feet, find its circumference.
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[Assistant] 20 pi feet


[User]
a train of length 250 m runs at a speed of 70 km / hr. what will be the time taken to cross any stationary object standing at the railway station?
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[Assistant] 12.86 sec

[User]
two pipes a and b can fill a tank in 4 and 5 hours respectively. if they are turned up alternately for one hour each, the time taken to fill the tank is?
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[Assistant] 4 hrs 24 min

[User]
if a ( a - 6 ) = 27 and b ( b - 6 ) = 27, where a ≠ b, then a + b =
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[Assistant] 6

[User]
when n is divided by 5 the remainder is 3. what is the remainder when ( n - 1 ) ^ 2 is divided by 5?
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[Assistant] 4

[User]
how many 1 / 12 s are there in 37 1 / 2?
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[Assistant] 450


[User]
. the price of commodity p increases by 40 paise every year, while the price of commodity q increases by 15 paise every year. if in 2001, the price of commodity p was rs. 4.20 and that of q was rs. 6.30, in which year commodity p will cost 40 paise more than the commodity q?
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[Assistant] 2011

[User]
a wholesaler wishes to sell 100 pounds of mixed nuts at $ 2.50 a pound. she mixes peanuts worth $ 1.50 a pound with cashews worth $ 7.00 a pound. how many pounds of cashews must she use?
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[Assistant] 55

[User]
when positive integer n is divided by 5, the remainder is 1. when n is divided by 7, the remainder is 3. what is the smallest positive integer k such that k + n is a multiple of 39?
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[Assistant] 8

[User]
a rectangular region has a fence along three sides and a wall along the fourth side. the fenced side opposite the wall is twice the length of each of the other two fenced sides. if the area of the rectangular region is 800 square feet, what is the total length of the fence, in feet?
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[Assistant] 80

[User]
if a certain coin is flipped, the probability that the coin will land heads is 1 / 2. if the coin is flipped 6 times, what is the probability that it will land heads up on the first 3 flips but not on the last 3 flips?
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[Assistant] 1 / 64


[User]
the sum of ages of 5 children born at theintervals of 3 years each is 50 years. what is the age of the youngest child?
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[Assistant] 4

[User]
if jake loses 35 pounds, he will weigh thrice as much as his sister. together they now weigh 275 pounds. what is jake's present weight, in pounds?
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[Assistant] 188

[User]
pipe a fills a tank of capacity 900 liters at the rate of 40 liters a minute. another pipe b fills the same tank at the rate of 30 liters a minute. a pipe at the bottom of the tank drains the tank at the rate of 20 liters a minute. if pipe a is kept open for a minute and then closed and pipe b is open for a minute and then closed and then pipe c is open for a minute and then closed and the cycle is repeated, when will the tank be full?
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[Assistant] 54 minutes

[User]
how many even number in the range between 6 to 100 inclusive are not divisible by 3
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[Assistant] 32

[User]
6 workers should finish a job in 8 days. after 3 days came 4 workers join them. how many days z do they need to finish the same job?
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[Assistant] 3


[User]
of the diplomats who attended a summit conference : 20 spoke latin, 32 did not speak russian and 20 % of the diplomats spoke neither latin nor russian. if 10 % of the diplomats spoke both latin and russian, then how many diplomats attended the conference?
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[Assistant] 120

[User]
if there is an equal probability of a child being born a boy or a girl, what is the probability that a couple who have 3 children have two children of the same sex and one of the opposite sex?
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[Assistant] 3 / 4

[User]
a man buys 12 lts of liquid which contains 20 % of the liquid and the rest is water. he then mixes it with 10 lts of another mixture with 30 % of liquid. what is the % of water in the new mixture?
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[Assistant] 75.45

[User]
a and b can do a work in 20 days, b and c can do it in 30 days ; a, b and c together can finish it in 40 days. a and c together will do it in?
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[Assistant] 30 days

[User]
the least perfect square, which is divisible by each of 21, 36 and 66 is :
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[Assistant] 213444


[User]
find the greatest number that will divide 54, 87 and 172 so as to leave the same remainder in each case
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[Assistant] 1

[User]
sally has a gold credit card with a certain spending limit, and a platinum card with twice the spending limit of the gold card. currently, she has a balance on her gold card that is 1 / 3 of the spending limit on that card, and she has a balance on her platinum card that is 1 / 9 of the spending limit on that card. if sally transfers the entire balance on her gold card to her platinum card, what portion of her limit on the platinum card will remain unspent?
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[Assistant] 13 / 18

[User]
the number which exceeds 12 % of it by 52.8 is :
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[Assistant] 60

[User]
solution for 2.01 +. 3 +. 34
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[Assistant] 2.65

[User]
two pipes p and q can fill a cistern in 12 and 15 minutes respectively. both are opened together, but at the end of 6 minutes the first is turned off. how many more minutes will it take for the cistern to fill after the first pipe is turned off?
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[Assistant] 1.5


[User]
in the xy - coordinate system, what is the slope of the line that goes through the point ( 1, 1 ) and is equidistant from the two points p = ( 3, 7 ) and q = ( 9, 11 )?
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[Assistant] 0.625

[User]
a certain car can travel 40 minutes on a gallon of gasoline at 60 miles per hour. if the car had started with a full tank and had 12 gallons of gasoline left in its tank at the end, then what percent of the tank was used to travel 80 miles at 60 mph?
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[Assistant] 14 %

[User]
the ratio of flour to water to sugar in a recipe is 11 : 5 : 2. the ratio in a new recipe calls for a doubling of the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar. if the new recipe calls for 7.5 cups of water, how much sugar is required?
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[Assistant] 12

[User]
with a uniform speed a car covers the distance in 8 hours. had the speed been increased by 5 km / hr, the same distance could have been covered in 7 1 / 2 hours. what is the distance covered?
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[Assistant] 600 km

[User]
a merchant marks goods up by 60 % and then offers a discount on the marked price. the profit that the merchant makes after offering the discount is 20 %. what % discount did the merchant offer?
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[Assistant] 25 %


[User]
a student scored an average of 65 marks in 3 subjects : physics, chemistry and mathematics. if the average marks in physics and mathematics is 90 and that in physics and chemistry is 70, what are the marks in physics?
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[Assistant] 125

[User]
find the number of trailing zeros in the product of ( 1 ^ 1 ) * ( 5 ^ 5 ) * ( 10 ^ 10 ) * ( 15 ^ 15 ) * ( 20 ^ 20 ) * ( 25 ^ 25 ) … … …. * ( 50 ^ 50 ).
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[Assistant] 250

[User]
the length of a bridge in meters, which a train 80 - meters long and traveling at 45 km / hr can cross in 30 seconds is?
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[Assistant] 295

[User]
find the smallest number which should be divided with 3872 to make it a perfect square.
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[Assistant] 2

[User]
x and y are both integers. if x / y = 59.80, then what is the sum of all the possible two digit remainders of x / y?
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[Assistant] 200


[User]
a, b, c, d and e are 5 consecutive points on a straight line. if bc = 2 cd, de = 4, ab = 5 and ac = 11, what is the length of ae?
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[Assistant] 18

[User]
on a partly cloudy day, derek decides to walk back from work. when it is sunny, he walks at a speed of s miles / hr ( s is an integer ) and when it gets cloudy, he increases his speed to ( s + 1 ) miles / hr. if his average speed for the entire distance is 2.8 miles / hr, what fraction t of the total distance did he cover while the sun was shining on him?
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[Assistant] 1 / 7

[User]
a train leaves delhi at 9 a. m. at a speed of 35 kmph. another train leaves at 2 p. m. at a speed of 40 kmph on the same day and in the same direction. how far from delhi, will the two trains meet?
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[Assistant] 1400

[User]
rohan spends 40 % of his salary on food, 20 % on house rent, 10 % on entertainment and 10 % on conveyance. if his savings at the end of a month are rs. 2000. then his monthly salary is
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[Assistant] rs. 10000

[User]
a survey of employers found that during 1993 employment costs rose 3.5 percent, where employment costs consist of salary costs and fringe - benefit costs. if salary costs rose 3 percent and fringe - benefit costs rose 7.5 percent during 1993, then fringe - benefit costs represented what percent of employment costs at the beginning of 1993?
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[Assistant] 10 %


[User]
excluding stoppages, the speed of a train is 45 kmph and including stoppages it is 42 kmph. of how many minutes does the train stop per hour?
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[Assistant] 4

[User]
. 008 /? =. 01
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[Assistant] . 8

[User]
a man spend 1 / 5 of his salary on food, 1 / 10 of his salary on house rent and 3 / 5 salary on clothes. he still has $ 17000 left with him. find salary..
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[Assistant] $ 170000

[User]
what is the lowest positive integer that is divisible by 8 through 11, inclusive?
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[Assistant] 7920

[User]
the sector of a circle has radius of 20 cm and central angle 135 o. find its perimeter?
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[Assistant] 87.1


[User]
tara bought 19 cartons of ice cream and 4 cartons of yoghurt. each carton of ice cream cost $ 7 and each carton of yoghurt cost $ 1. how much more did tara spend on ice cream than on yoghurt?
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[Assistant] $ 129

[User]
if 9 boys meet at a reunion and each boy shakes hands exactly once with each of the others, then what is the total number of handshakes
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[Assistant] 36

[User]
car a runs at the speed of 50 km / hr and reaches its destination in 8 hours. car b runs at the speed of 65 km / h and reaches its destination in 4 hours. what is the ratio of distances covered by car a and car b?
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[Assistant] 20 : 13

[User]
a grocer is storing soap boxes in cartons that measure 25 inches by 48 inches by 60 inches. if the measurement of each soap box is 8 inches by 6 inches by 5 inches, then what is the maximum number of soap boxes that can be placed in each carton?
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[Assistant] 300

[User]
what is the greatest 5 - digit number when divided by 6, 7, 8, 9, and 10 leaves a remainder of 4, 5, 6, 7, and 9 respectively?
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[Assistant] 97479


[User]
elvin's monthly telephone bill is the sum of the charge for the calls he made during the month and a fixed monthly charge for internet service. elvin's total telephone bill for january was $ 40 and elvin's total telephone bill for february was 76 $. if elvin's charge for the calls he made in february was twice the charge for the calls he made in january, what is elvin's fixed monthly charge for internet service?
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[Assistant] $ 4

[User]
how many seconds does puja take to cover a distance of 500 m, if she runs at a speed of 30 km / hr?
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[Assistant] 60 sec

[User]
the l. c. m. of 2 numbers is 40. the numbers are in the ratio 4 : 5. find their sum?
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[Assistant] 18

[User]
the sum of the ages 4 members of a family 5 years ago was 94. today, when the daughter has been married off and replaced by a daughter - in - law, the sum of their ages is 100. assuming that there has been no other change in the family structure and all members are alive, what is the difference in the ages of daughter and daughter - in - law?
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[Assistant] 14

[User]
35 binders can bind 1400 books in 21 days. how many binders will be required to bind 1600 books in 20 days?
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[Assistant] 42


[User]
for each month of a given year except december, a worker earned the same monthly salary and donated one - tenth of that salary to charity. in december, the worker earned n times his usual monthly salary and donated one - fifth of his earnings to charity. if the worker's charitable contributions totaled one - sixth of his earnings for the entire year, what is the value of n?
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[Assistant] 22

[User]
what is the probability of getting exactly 4 heads in a single throw of five fair coins?
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[Assistant] 5 / 32

[User]
in how many ways 4 boys and 5 girls can be seated in a row so that they are alternate.
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[Assistant] 2880

[User]
in a manufacturing plant, it takes 48 machines 4 hours of continuous work to fill 8 standard orders. at this rate, how many hours of continuous work by 72 machines are required to fill 12 standard orders?
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[Assistant] 3

[User]
f ( x ) is a function such that f ( x ) + 3 f ( 8 - x ) = x for all real numbers x. find the value of f ( 2 )
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[Assistant] 2


[User]
two cubes of their volumes in the ratio 64 : 1331. the ratio of their surface area is :
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[Assistant] 4 : 11

[User]
at joel ’ s bookstore, the current inventory is 30 % historical fiction. of the historical fiction books, 30 % are new releases, while 40 % of the other books are new releases. what fraction of all new releases are the historical fiction new releases?
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[Assistant] 9 / 37

[User]
a teacher grades students ’ tests by subtracting twice the number of incorrect responses from the number of correct responses. if student b answers each of the 100 questions on her test and receives a score of 73, how many questions did student b answer correctly?
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[Assistant] 91

[User]
a box measuring 30 inches long by 48 inches wide by 12 inches deep is to be filled entirely with identical cubes. no space is to be left unfilled. what is the smallest number of cubes that can accomplish this objective?
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[Assistant] 80

[User]
on a certain road 10 % of the motorists exceed the posted speed limit and receive speeding tickets, but 20 % 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] 12.5 %


[User]
a man can row downstream at the rate of 24 kmph and upstream at 7 kmph. find the man ’ s rate in still water and rate of current?
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[Assistant] 8.5

[User]
the average weight of 5 persons increases by 1.5 kg. if a person weighing 65 kg is replaced by a new person, what could be the weight of the new person?
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[Assistant] 72.5 kg

[User]
two trains, one from howrah to patna and the other from patna to howrah, start simultaneously. after they meet, the trains reach their destinations after 4 hours and 16 hours respectively. the ratio of their speeds is?
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[Assistant] 4 : 2

[User]
on july 1 of last year, total employees at company e was decreased by 10 percent. without any change in the salaries of the remaining employees, the average ( arithmetic mean ) employee salary was 10 percent more after the decrease in the number of employees than before the decrease. the total of the combined salaries of all the employees at company e after july 1 last year was what percent e of thatbeforejuly 1 last year?
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[Assistant] 99 %

[User]
when positive integer n is divided by 5, the remainder is 1. when n is divided by 7, the remainder is 3. what is the smallest positive integer k such that k + n is a multiple of 70.
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[Assistant] 32


[User]
the difference between the place values of 6 and 5 in the number 826533 is
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[Assistant] 5500

[User]
a works twice as fast as b. if b can complete a work in 12 days independently, the number of days in which a and b can together finish the work in :
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[Assistant] 4 days

[User]
if a student loses 5 kilograms, he will weigh twice as much as his sister. together they now weigh 104 kilograms. what is the student's present weight in kilograms?
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[Assistant] 71

[User]
a football team lost 5 yards and then gained 13. what is the team's progress?
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[Assistant] 8

[User]
find the last digit of 322 ^ 369
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[Assistant] 2


[User]
find the value of x from logx 100 = 2
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[Assistant] 10

[User]
x starts a business with rs. 52000. y joins in the business after 6 months with rs. 26000. what will be the ratio in which they should share the profit at the end of the year?
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[Assistant] 4 : 1

[User]
if x is equal to the sum of the even integers from 40 to 60 inclusive, and y is the number of even integers from 40 to 60 inclusive, what is the value of x + y?
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[Assistant] 561

[User]
a monkey start climbing up a tree 17 ft tall. each hour it hops 3 ft and slips back 2 ft. how much time would it take the monkey to reach the top.
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[Assistant] 15 hrs

[User]
in a competitive examination in state a, 6 % candidates got selected from the total appeared candidates. state b had an equal number of candidates appeared and 7 % candidates got selected with 79 more candidates got selected than a. what was the number of candidates appeared from each state?
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[Assistant] 7900


[User]
the price ratio of oranges to lemons is 2 : 3. the price ratio of grapefruits to lemons is 3 : 5. what is the ratio, by price, of grapefruit to oranges?
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[Assistant] 18 : 20

[User]
20 carrots on a scale weigh 3.64 kg. when 4 carrots are removed from the scale, the average weight of the 16 carrots is 180 grams. what is the average weight ( in grams ) of the 4 carrots which were removed?
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[Assistant] 190

[User]
a can do a particular work in 6 days. b can do the same work in 8 days. a and b signed to do it for rs. 3200. they completed the work in 3 days with the help of c. how much is to be paid to c?
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[Assistant] rs. 400

[User]
a train requires 10 seconds to pass a pole while it requires 40 seconds to cross a stationary train which is 300 mtrs long. find the speed of the train.
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[Assistant] 36 kmph

[User]
two trains are running in opposite directions in the same speed. the length of each train is 120 meter. if they cross each other in 4 seconds, the speed of each train ( in km / hr ) is
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[Assistant] 108


[User]
how many multiples of 7 are there between 700 and 1000, inclusive?
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[Assistant] 43

[User]
an unbaised coin is tossed until it shows up the same face in 2 consicative throws wat is the probability that the no of tosses is not more than 4.
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[Assistant] 7 / 8

[User]
at a certain bowling alley, it costs $ 0.50 to rent bowling shoes for the day and $ 2 to bowl 1 game. if a person has $ 12.80 and must rent shoes, what is the greatest number of complete games that person can bowl in one day?
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[Assistant] 6

[User]
if a * b * c = 130, b * c * d = 65, c * d * e = 750 and d * e * f = 250 the ( a * f ) / ( c * d ) =?
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[Assistant] 2 / 3

[User]
a cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours. if both the taps are opened simultaneously, then after how much time cistern will get filled?
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[Assistant] 7.2 hours


[User]
evaluate : 986 x 237 - 986 x 37
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[Assistant] 192700

[User]
what is the sum of the odd integers from 25 to 55, inclusive?
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[Assistant] 640

[User]
in a class of students, 2 / 3 of the number of girls is equal to 1 / 4 of the total number of students. what is the ratio of boys to girls in the class?
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[Assistant] 5 / 3

[User]
a portion of the 85 % solution of chemicals was replaced with an equal amount of 20 % solution of chemicals. as a result, 40 % solution of chemicals resulted. what part of the original solution was replaced?
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[Assistant] 9 / 13

[User]
the greatest number which on dividing 1442 and 1816 leaves remainders 12 and 6 respectively, is :
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[Assistant] 10


[User]
two cars are traveling in the same direction along the same route. the red car travels at a constant speed of 40 miles per hour, and the black car is traveling at a constant speed of 50 miles per hour. if the red car is 30 miles ahead of the black car, how many hours will it take the black car to overtake the red car?
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[Assistant] 3

[User]
in a certain city, 60 percent of the registered voters are democrats and the rest are republicans. in a mayoral race, if 70 percent of the registered voters who are democrats and 20 percent of the registered voters who are republicans are expected to vote for candidate a, what percent of the registered voters are expected to vote for candidate a?
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[Assistant] 50 %

[User]
a boy multiplied 987 by a certain number and obtained 559981 as his answer. if in the answer both 98 are wrong and other digits are correct, then the correct answer would be :
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[Assistant] 555681

[User]
given f ( x ) = 2 x – 3, for what value of x does 2 * [ f ( x ) ] – 11 = f ( x – 2 )?
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[Assistant] 5

[User]
pipe a fills a tank of capacity 750 liters at the rate of 40 liters a minute. another pipe b fills the same tank at the rate of 30 liters a minute. a pipe at the bottom of the tank drains the tank at the rate of 20 liters a minute. if pipe a is kept open for a minute and then closed and pipe b is open for a minute and then closed and then pipe c is open for a minute and then closed and the cycle is repeated, when will the tank be full?
Answer the question using a single word or phrase.

[Assistant] 45 minutes


[User]
the first doughnut is priced at $ 1 and then if you purchase additional doughnuts as dozens then the price is $ 6 / dozen. what is the total number of doughnuts purchased if you paid $ 21?
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[Assistant] 39

[User]
all the milk in container a which was filled to its brim was poured into two containers b and c. the quantity of milk in container b was 62.5 % less than the capacity of container a. if 150 liters was now transferred from c to b, then both the containers would have equal quantities of milk. what was the initial quantity of milk in container a?
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[Assistant] 1200

[User]
a train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 17 seconds. what is the length of the platform in meters?
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[Assistant] 260 meters

[User]
two numbers have a h. c. f of 14 and a product of two numbers is 2562. find the l. c. m of the two numbers?
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[Assistant] 183

[User]
a can complete a work in 10 days and b can do the same work in 5 days. if a after doing 2 days, leaves the work, find in how many days b will do the remaining work?
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[Assistant] 4 days


[User]
let the number which when multiplied by 13 is increased by 180.
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[Assistant] 15

[User]
the diagonals of a rhombus are 20 cm and 25 cm. find its area?
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[Assistant] 250

[User]
10 ^ ( 655 ) ã · 10 ^ ( 652 ) =?
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[Assistant] 1000

[User]
if 20 lines are drawn in a plane such that no two of them are parallel and no three are concurrent, then in how many points do they intersect?
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[Assistant] 190

[User]
the jogging track in a sports complex is 1000 meters in circumference. deepak and his wife start from the same point and walk in opposite directions at 20 km / hr and 12 km / hr respectively. they will meet for the first time in?
Answer the question using a single word or phrase.

[Assistant] 32 min


[User]
an escalator moves towards the top level at the rate of 15 ft. sec and its length is 180 feet. if a person walks on the moving escalator at the rate of 3 feet per second towards the top level, how much time does he take to cover the entire length.
Answer the question using a single word or phrase.

[Assistant] 10 sec

[User]
a new home buyer pays 4 % annual interest on her first mortgage and 9 % annual interest on her second mortgage. if she borrowed a total of $ 335,000, 80 % of which was in the first mortgage, what is her approximate monthly interest payment?
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[Assistant] $ 1,395

[User]
a train 200 meters long completely crosses a 300 meters long bridge in 45 seconds. what is the speed of the train is?
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[Assistant] 40

[User]
john and ingrid pay 30 % and 40 % tax annually, respectively. if john makes $ 56000 and ingrid makes $ 72000, what is their combined tax rate?
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[Assistant] 35.6 %

[User]
john's bank's saving amount is decreased 30 % due to loan payment and current balance is rs. 7000. find the actual balance before deduction?
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[Assistant] 10000


[User]
during a special promotion, a certain filling station is offering a 10 percent discount on gas purchased after the first 6 gallons. if kim purchased 20 gallons of gas, and isabella purchased 25 gallons of gas, then isabella ‟ s total per - gallon discount is what percent of kim ‟ s total per - gallon discount?
Answer the question using a single word or phrase.

[Assistant] 109 %

[User]
a farmer with 1,350 acres of land had planted his fields with corn, sugar cane, and tobacco in the ratio of 3 : 2 : 4, respectively, but he wanted to make more money, so he shifted the ratio to 2 : 2 : 5, respectively. how many more acres of land were planted with tobacco under the new system?
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[Assistant] 150

[User]
if two of the 4 expressions x + y, x + 5 y, x - y, and 5 x - y are chosen at random, what is the probability w that their product will be of the form of x ^ 2 - ( by ) ^ 2, where b is an integer?
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[Assistant] w = 1 / 6

[User]
if 4 men working 10 hours a day earn rs. 1200 per week, then 9 men working 6 hours a day will earn how much per week?
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[Assistant] rs 1620

[User]
a test has 180 questions. each question has 5 options, but only 1 option is correct. if test - takers mark the correct option, they are awarded 1 point. however, if an answer is incorrectly marked, the test - taker loses 0.25 points. no points are awarded or deducted if a question is not attempted. a certain group of test - takers attempted different numbers of questions, but each test - taker still received the same net score of 40. what is the maximum possible number of such test - takers?
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[Assistant] 29


[User]
jean drew a gumball at random from a jar of pink and blue gumballs. since the gumball she selected was blue and she wanted a pink one, she replaced it and drew another. the second gumball also happened to be blue and she replaced it as well. if the probability of her drawing the two blue gumballs was 16 / 49 what is the probability that the next one she draws will be pink?
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[Assistant] 3 / 7

[User]
if x is 25 percent greater than 88, then x =
Answer the question using a single word or phrase.

[Assistant] 110

[User]
a cistern 8 meters long and 4 meters wide contains water up to a depth of 1 meter 25 cm. what is the total area of the wet surface?
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[Assistant] 62

[User]
at a certain food stand, the price of each apple is 40 ¢ and the price of each orange is 60 ¢. mary selects a total of 10 apples and oranges from the food stand, and the average ( arithmetic mean ) price of the 10 pieces of fruit is 54 ¢. how many oranges must mary put back so that the average price of the pieces of fruit that she keeps is 48 ¢?
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[Assistant] 5

[User]
david has $ 1800 at the beginning of his trip, after spending money, he still has exactly $ 800 less than he spent on the trip. how much money does john still have?
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[Assistant] $ 500


[User]
the length of the bridge, which a train 125 m long and traveling at 45 km / hr can cross in 30 sec is?
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[Assistant] 250

[User]
angelo and isabella are both salespersons. in any given week, angelo makes $ 540 in base salary plus 8 percent of the portion of his sales above $ 1,000 for that week. isabella makes 10 percent of her total sales for any given week. for what amount of weekly sales would angelo and isabella earn the same amount of money?
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[Assistant] 23,000

[User]
a computer store offers employees a 30 % discount off the retail price. if the store purchased a computer from the manufacturer for $ 1500 dollars and marked up the price 30 % to the final retail price, how much would an employee save if he purchased the computer at the employee discount ( 30 % off retail price ) as opposed to the final retail price.
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[Assistant] 585

[User]
car a runs at the speed of 65 km / hr & reaches its destination in 5 hr. car b runs at the speed of 70 km / h & reaches its destination in 4 h. what is the respective ratio of distances covered by car a & car b?
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[Assistant] 65 : 56

[User]
if 9 a - b = 10 b + 70 = - 12 b - 2 a, what is the value of 11 a + 11 b?
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[Assistant] 0


[User]
how many distinct integer values of n satisfy the inequality | | n - 3 | + 4 | ≤ 17?
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[Assistant] 15

[User]
there are 250 men and 150 women in a committee, if all will work they will complete 12 units per day, if all men work they will complete 15 units per day, how many units will women complete per day?
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[Assistant] 3

[User]
the cash difference between the selling prices of an article at a profit of 10 % and 6 % is rs. 3. the ratio of the two selling prices is?
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[Assistant] 55 : 53

[User]
in order to obtain an income of rs. 650 from 10 % stock at rs. 96, one must make an investment of
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[Assistant] 6240

[User]
there are 380 doctors and nurses in a hospital. if the ratio of the doctors to the nurses is 8 : 11, then how many nurses are there in the hospital?
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[Assistant] 220


[User]
we invested a total of $ 1,000. we invested one part of the money at 3 % and the rest of the money at 5 %. the total investment with interest at the end of the year was $ 1,046. how much money did we invest at 3 %?
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[Assistant] $ 200

[User]
a 5 - digit number divisible by 3 is to be formed using numerical 0, 1, 2, 3, 4 and 5 without repetition. the total number e of ways this can be done is :
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[Assistant] 216

[User]
the lenght of a room is 5.5 m and width is 4 m. find the cost of paving the floor by slabs at the rate of rs. 700 per sq. metre.
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[Assistant] s. 15,400

[User]
a car takes 6 hours to cover a distance of 270 km. how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time?
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[Assistant] 30 kmph

[User]
at a supermarket, john spent 1 / 5 of his money on fresh fruits and vegetables, 1 / 3 on meat products, and 1 / 10 on bakery products. if he spent the remaining $ 11 on candy, how much did john spend at the supermarket?
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[Assistant] $ 30


[User]
a and b finish the job in 15 days. while a, b and c can finish it in 12 days. c alone will finish the job in
Answer the question using a single word or phrase.

[Assistant] 60 days

[User]
one ball will drop from a certain height. the height it will reach after rebounding from the floor is 50 percent of the previous height. the total travel is 250 cm when it touches the floor on third time. what is the value of the original height?
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[Assistant] 100 cm

[User]
a number divided by 44 leaves remainder 17 what is the remainder when same number divided by 8
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[Assistant] 5

[User]
a baker makes chocolate cookies and peanut cookies. his recipes allow him to make chocolate cookie in batches of 7 and peanut cookies in batches of 6. if he makes exactly 96 cookies, what is the minimum number of chocolate chip cookies he makes?
Answer the question using a single word or phrase.

[Assistant] 42

[User]
in a certain city, 60 percent of the registered voters are democrats and the rest are republicans. in a mayoral race, if 75 percent of the registered voters who are democrats and 30 percent of the registered voters who are republicans are expected to vote for candidate a, what percent of the registered voters are expected to vote for candidate a?
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[Assistant] 57 %


[User]
30 men can do a work in 40 days. when should 16 men leave the work so that the entire work is completed in 40 days after they leave the work?
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[Assistant] 14 days

[User]
what is the normal price of an article sold at $ 126 after two successive discounts of 10 % and 20 %?
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[Assistant] $ 175

[User]
two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 1 and they are sold fetching the profit 40 % and 20 % respectively. if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively, then the mixture will fetch the profit of
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[Assistant] 33 %

[User]
there are 280 female managers in a certain company. find the total number of female employees in the company, if 2 / 5 of all the employees are managers and 2 / 5 of all male employees are managers.
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[Assistant] 700

[User]
the average monthly income of p and q is rs. 2050. the average monthly income of q and r is rs. 5250 and the average monthly income of p and r is rs. 6200. the monthly income of p is :
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[Assistant] 3000


[User]
running at the same constant rate, 16 identical machines can produce a total of 32 shirt per minute. at this rate, how many shirt could 8 such machines produce in 10 minutes?
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[Assistant] 160

[User]
a certain cube floating in a bucket of water has between 70 and 85 percent of its volume below the surface of the water. if between 8 and 20 cubic centimeters of the cube's volume is above the surface of the water, then the length of a side of the cube is approximately
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[Assistant] 4

[User]
the events a and b are independent, the probability that event a occurs is greater than 0, and the probability that event a occurs is twice the probability that event b occurs. the probability that at least one of events a and b occurs is 14 times the probability that both events a and b occur. what is the probability that event a occurs?
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[Assistant] 1 / 5

[User]
three numbers are in the ratio of 3 : 4 : 6 and their product is 1944. the largest of these numbers is
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[Assistant] 18

[User]
two stations p and q are 200 km apart on a straight track. one train starts from p at 7 a. m. and travels towards q at 20 kmph. another train starts from q at 8 a. m. and travels towards p at a speed of 25 kmph. at what time will they meet?
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[Assistant] 12 noon


[User]
walking at 1 / 3 th of its usual speed a cab is 20 mnts late. find its usual time to cover the journey?
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[Assistant] 10 m

[User]
there is food for 760 men for 22 days. how many more men should join after two days so that the same food may last for 17 days more?
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[Assistant] 134 men

[User]
find large number from below question the difference of two numbers is 1015. on dividing the larger number by the smaller, we get 9 as quotient and the 15 as remainder
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[Assistant] 1140

[User]
a store owner estimates that the average price of type a products will increase by 35 % next year and that the price of type b products will increase by 10 % next year. this year, the total amount paid for type a products was $ 4500 and the total price paid for type b products was $ 8300. according to the store owner's estimate, and assuming the number of products purchased next year remains the same as that of this year, how much will be spent for both products next year?
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[Assistant] $ 15,205

[User]
in a classroom, the average age of boys ( b ) is g and the average age of girls ( g ) is b. the average age of all is b + g. at the time of calculation, the class teacher, who is 42 years old was also present in the class. can you find the value of b + g?
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[Assistant] 8


[User]
mr. tom invested in fund x and fund y. the total amount she invested, in both funds combined, was $ 100000. in one year, fund x paid 23 % and fund y paid 17 %. the interest earned in fund y was exactly $ 200 greater than the interest earned in fund x. how much did ms. tom invest in fund x?
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[Assistant] $ 42000

[User]
what is the rate percent when the simple interest on rs. 800 amount to rs. 176 in 4 years?
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[Assistant] 5.5 %

[User]
a 6 litre sol is 35 % alcohol. how many litres of pure alcohol must be added to produce a sol that is 50 % alcohol?
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[Assistant] d. 1.8

[User]
sushil got thrice as many marks in english as in science. his total marks in english, science and maths are 170. if the ratio of his marks in english and maths is 1 : 4, find his marks in science?
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[Assistant] 17

[User]
if 6 parallel lines in a plane is intersected by a family of another 8 parallel lines, how many parallelograms are there in the network thus formed?
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[Assistant] 420


[User]
what is the remainder if 7 ^ 8 is divided by 100?
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[Assistant] 1

[User]
65 % of x = 20 % of 617.50. find the value of x?
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[Assistant] 190

[User]
find the smallest number of five digits exactly divisible by 24, 48,64 and 88.
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[Assistant] 11952

[User]
how many numbers from 12 to 82 are exactly divisible by 6?
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[Assistant] 11

[User]
10 men and 15 women finish a work in 6 days. one man alone finishes that work in 100 days. in how many days will a woman finish the work?
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[Assistant] 225 days


[User]
a certain quantity is measured on two different scales, the r - scale and the s - scale, that are related linearly. measurements on the r - scale of 6 and 24 correspond to measurements on the s - scale of 30 and 60, respectively. what measurement on the r - scale corresponds to a measurement of 100 on the s - scale?
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[Assistant] 48

[User]
a fruit seller had some apples. he sells 30 % and still has 420 apples. originally, he had?
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[Assistant] 600 apples

[User]
a family x went for a vacation. unfortunately it rained for 13 days when they were there. but whenever it rained in the mornings, they had clear afternoons and vice versa. in all they enjoyed 11 mornings and 12 afternoons. how many days did they stay there totally?
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[Assistant] 18

[User]
what is 92 % of 4 / 5?
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[Assistant] 0.736

[User]
a textile manufacturing firm employees 125 looms. it makes fabrics for a branded company. the aggregate sales value of the output of the 125 looms is rs 5, 00,000 and the monthly manufacturing expenses is rs 1, 50,000. assume that each loom contributes equally to the sales and manufacturing expenses are evenly spread over the number of looms. monthly establishment charges are rs 75000. if one loom breaks down and remains idle for one month, the decrease in profit is :
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[Assistant] 2800


[User]
a milk man has 20 liters of milk. if he mixes 25 liters of water, which is freely available, in 20 liters of pure milk. if the cost of pure milk is rs. 18 per liter, then the profit of the milkman, when he sells all the mixture at cost price is :
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[Assistant] 45 %

[User]
a thief is spotted by a policeman from a distance of 100 meters. when the policeman starts the chase, the thief also starts running. if the speed of the thief be 8 km / hr and that of the policeman 10 km / hr, how far the thief will have run before he is overtaken?
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[Assistant] 400 m

[User]
a major airplane manufacturer announced the sale of 150 small airliners at $ 125 million each, 75 medium sized airliners at $ 175 million each, and 60 large airliners at $ 220 million each. what percentage of the company's income came from large and medium airliners?
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[Assistant] 58 %

[User]
if 75 percent of a class answered the first question on a certain test correctly, 30 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?
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[Assistant] 25 %

[User]
what is the decimal equivalent of ( 1 / 4 ) ^ 4?
Answer the question using a single word or phrase.

[Assistant] 0.0039


[User]
( ( a + b ) / c ) / 2 in the expression above, a, b, and c are different numbers and each is one of the numbers 2, 3, or 5. what is the least possible value of the expression?
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[Assistant] 5 / 10

[User]
85 % of the population of a city is 85000. the total population of the city is?
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[Assistant] 100000

[User]
if the median of a list of numbers is m, the first quartile of the list is the median of the numbers in the list that are less than m. what is the first quartile of the list of numbers 42, 24, 30, 22, 26, 27, 33 and 35?
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[Assistant] 25

[User]
14. the sum and the product of two numbers are 25 and 144 respectively, the difference of the number is?
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[Assistant] 7

[User]
( x ) + 1789 + 9011 - 7819 = 90510. calculate the value of x
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[Assistant] 87529


[User]
an amount of money is to be divided between p, q and r in the ratio of 3 : 7 : 12. if the difference between the shares of p and q is rs. 2500, what will be the difference between q and r's share?
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[Assistant] 2625

[User]
a certain industrial loom weaves 0.132 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] 114

[User]
if x is a number such that x ^ 2 + 4 x - 5 = 0 and x ^ 2 + x - 20 = 0, then x =
Answer the question using a single word or phrase.

[Assistant] - 5

[User]
the rate at which a sum becomes 4 times of itself in 15 years at s. i., will be :
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[Assistant] 20 %

[User]
20 business executives and 7 chairmen meet at a conference. if each business executive shakes the hand of every other business executive and every chairman once, and each chairman shakes the hand of each of the business executives but not the other chairmen, how many handshakes would take place?
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[Assistant] 330


[User]
a total of $ 20,000 was invested in two certificates of deposit at simple annual interest rates of 6 percent and 9 percent, respectively. if the total interest on the two certificates was $ 1,440 at the end of one year, what fractional part of the $ 20.000 was invested at the higher rate?
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[Assistant] 11 / 20

[User]
in a school of 850 boys, 44 % of muslims, 28 % hindus, 10 % sikhs and the remaining of other communities. how many belonged to the other communities?
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[Assistant] 153

[User]
109 × 109 + 91 × 91 =?
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[Assistant] 20162

[User]
on a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. on the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. on both days, all the orangeade that was made was sold. if the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $ 0.60 per glass on the first day, what was the price q per glass on the second day?
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[Assistant] $ 0.40

[User]
if x = 3 and y = − 2, what is the value of ( x − 2 y ) ^ y?
Answer the question using a single word or phrase.

[Assistant] 0.02


[User]
last year, for every 100 million vehicles that travelled on a certain highway, 98 vehicles were involved in accidents. if 3 billion vehicles travelled on the highway last year, how many of those vehicles were involved in accidents? ( 1 billion = 100000000 )
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[Assistant] 2,940

[User]
in what time will a train 125 m long cross an electric pole, it its speed be 130 km / hr?
Answer the question using a single word or phrase.

[Assistant] 3.5

[User]
if 85 percent of the test takers taking an old paper and pencil gmat exam answered the first question on a given math section correctly, and 80 percent of the test takers answered the second question correctly, and 5 percent of the test takers answered neither question correctly, what percent answered both correctly?
Answer the question using a single word or phrase.

[Assistant] 70 %

[User]
23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, (... )
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[Assistant] 71

[User]
96 is divided into two parts in such a way that seventh part of first and ninth part of second are equal. find the smallest part?
Answer the question using a single word or phrase.

[Assistant] 42


[User]
the length of a side of a hexagon is 8 inches. what is the perimeter?
Answer the question using a single word or phrase.

[Assistant] 48

[User]
when positive integer n is divided by positive integer j, the remainder is 11. if n / j = 724.04, what is value of j?
Answer the question using a single word or phrase.

[Assistant] 275

[User]
a can complete the job in 2 hours and b can complete the same job in 4 hours. a works for 1 hour and then b joins and both complete the job. what fraction of the job did b complete
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[Assistant] 1 / 6

[User]
if a's income is 25 % less than b's. by what % b's income is greater than a?
Answer the question using a single word or phrase.

[Assistant] 33

[User]
x starts a business with rs. 56000. y joins in the business after 4 months with rs. 44000. what will be the ratio in which they should share the profit at the end of the year?
Answer the question using a single word or phrase.

[Assistant] 21 : 11


[User]
in a bag containing 3 balls, a white ball was placed and then 1 ball was taken out at random. what is theprobability that the extracted ball would turn onto be white, if all possible hypothesisconcerning the color of the balls that initially in the bag were equally possible?
Answer the question using a single word or phrase.

[Assistant] 5 / 8

[User]
nicky and cristina are running a race. since cristina is faster than nicky, she gives him a 36 meter head start. if cristina runs at a pace of 6 meters per second and nicky runs at a pace of only 3 meters per second, how many seconds will nicky have run before cristina catches up to him?
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[Assistant] 12 seconds

[User]
587 * 999 =?
Answer the question using a single word or phrase.

[Assistant] 586413

[User]
it takes 35 identical printing presses 12 hours to print 500,000 papers. how many hours would it take 30 of these printing presses to print 500,000 papers?
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[Assistant] 14

[User]
a sum was put at si at certain rate for 2 years. had it been put at 3 % higher rate, it would have fetched rs. 300 more. find the sum
Answer the question using a single word or phrase.

[Assistant] rs 5000


[User]
9 people decided to split the restaurant bill evenly. if the bill was $ 314.16 dollars, how much money did they 1 cent is the smallest unit?
Answer the question using a single word or phrase.

[Assistant] $ 314.19

[User]
x ÷ 4 × 5 + 10 – 12 = 48, then x =
Answer the question using a single word or phrase.

[Assistant] 40

[User]
- 84 x 29 + 365 =?
Answer the question using a single word or phrase.

[Assistant] - 2071

[User]
5 % of a number is more than 20 % of 650 by 190. find the number?
Answer the question using a single word or phrase.

[Assistant] 6400

[User]
what is the area of square field whose side of length 25 m?
Answer the question using a single word or phrase.

[Assistant] 625 sq m


[User]
a certain car dealership sells economy cars, luxury cars, and sport utility vehicles. the ratio of economy to luxury cars is 5 : 3. the ratio of economy cars to sport utility vehicles is 4 : 3. what is the ratio of luxury cars to sport utility vehicles?
Answer the question using a single word or phrase.

[Assistant] 12 : 15

[User]
a boat can travel with a speed of 24 km / hr in still water. if the speed of the stream is 4 km / hr, find the time taken by the boat to go 168 km downstream
Answer the question using a single word or phrase.

[Assistant] 6 hours

[User]
find the value of a / b + b / a, if a and b are the roots of the quadratic equation x 2 + 10 x + 5 = 0?
Answer the question using a single word or phrase.

[Assistant] 18

[User]
jim is able to sell a hand - carved statue for $ 750 which was a 35 % profit over his cost. how much did the statue originally cost him?
Answer the question using a single word or phrase.

[Assistant] $ 555.56

[User]
in a fuel station the service costs $ 4.25 per car, every liter of fuel costs 0.6 $. assuming that you fill up 3 mini - vans and 2 trucks, how much money will the fuel cost to all the cars owners total, if a mini - van's tank is 65 liters and a truck's tank is 120 % bigger and they are all empty -?
Answer the question using a single word or phrase.

[Assistant] 309.85 $


[User]
a cistern is normally filled in 10 hrs, but takes 2 hrs longer to fill because of a leak on its bottom, if cistern is full, how much time citern would empty?
Answer the question using a single word or phrase.

[Assistant] 60 hours

[User]
to be considered for “ movie of the year, ” a film must appear in at least 1 / 4 of the top - 10 - movies lists submitted by the cinematic academy ’ s 795 members. what is the smallest number of top - 10 lists a film can appear on and still be considered for “ movie of the year ”?
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[Assistant] 199

[User]
a man can swim in still water at 9 km / h, but takes twice as long to swim upstream than downstream. the speed of the stream is?
Answer the question using a single word or phrase.

[Assistant] 3

[User]
the distance from the x - axis to point p is half the distance from the y - axis to point p. if the coordinates of p are ( x, - 6 ), how many units is p from the y - axis?
Answer the question using a single word or phrase.

[Assistant] 12

[User]
a can do a piece of work in 24 days. when he had worked for 2 days b joins him. if the complete work was finished in 8 days. in how many days b alone can finish the work?
Answer the question using a single word or phrase.

[Assistant] 9


[User]
a 1200 m long train crosses a tree in 80 sec, how much time will i take to pass a platform 1000 m long?
Answer the question using a single word or phrase.

[Assistant] 146.66

[User]
simplify : ( 7 + 2 ) – ( 5 + 3 + 1 ) - 1.
Answer the question using a single word or phrase.

[Assistant] 1

[User]
how many shots of 1 cm radius can be prepared from a sphere of 7 cm radius?
Answer the question using a single word or phrase.

[Assistant] 343

[User]
on a certain road 10 % of the motorists exceed the posted speed limit and receive speeding tickets, but 10 % 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] 11.11 %

[User]
a river boat leaves silver town and travels upstream to gold town at an average speed of 6 kilometers per hour. it returns by the same route at an average speed of 3 kilometers per hour. what is the average speed for the round - trip in kilometers per hour?
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[Assistant] 4.0


[User]
abcd is a square where ab = â ˆ š 4008. let x be a point on ab and y be a point on cd such that ax = cy. compute the area of trapezoid axyd.
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[Assistant] 2004

[User]
a man swims downstream 72 km and upstream 45 km taking 5 hours each time ; what is the speed of the current?
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[Assistant] 2.7

[User]
two numbers are in the ratio 1 : 2, if 7 is added to both, their ratio changes to 3 : 5. the greatest number is
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[Assistant] 28

[User]
what is 82 % of 3 / 4?
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[Assistant] 0.615

[User]
points x, y, and z lie, in that order, on a straight railroad track. the distance from point x to point y is twice the distance from point y to point z. a train traveled from point x to point z without stopping. the train's average speed when traveling from point x to point y was 300 miles per hour and the train's average speed when traveling from point y to point z was 100 miles per hour. what was the train's average speed, in miles per hour, when traveling from point x to point z?
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[Assistant] 180


[User]
a 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. what is the length of the other train?
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[Assistant] 230 meter

[User]
if xerox paper costs 5 cents a sheet and a buyer gets 10 % discount on all xerox paper one buys after the first 2000 papers and 20 % discount after first 10000 papers, how much will it cost to buy 20000 sheets of xerox paper?
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[Assistant] $ 900

[User]
if a and b are positive integers, and a = 3 b + 12, the greatest common divisor of a and b can not be
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[Assistant] 5

[User]
during a sale, the price of a pair of shoes is marked down 14 % from the regular price. after the sale ends, the price goes back to the original price. what is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes?
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[Assistant] 16 %

[User]
two trains of length 60 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] 17 sec


[User]
one 100 gallons of fuel are purchased at $ 0.70 per gallon. the fuel is consumed at a rate of $ 0.40 worth of fuel per hour. at this rate, how many hours are required to consume the 100 gallons of fuel?
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[Assistant] 175

[User]
a chemist mixes one liter of pure water with x liters of a 75 % salt solution, and the resulting mixture is a 15 % salt solution. what is the value of x?
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[Assistant] 1 / 4

[User]
if 5 % more is gained by selling an article for rs. 600 than by selling it for rs. 580, the cost of the article is?
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[Assistant] 400

[User]
a boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. how long will it take to go 5 km in stationary water?
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[Assistant] 1 hour 15 min

[User]
a, b, c subscribe rs. 50000 for a business. if a subscribes rs. 4000 more than b and b rs. 5000 more than c, out of a total profit of rs. 36000, what will be the amount a receives?
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[Assistant] 15120


[User]
steve traveled the first 2 hours of his journey at 30 mph and the last 3 hours of his journey at 80 mph. what is his average speed of travel for the entire journey?
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[Assistant] 60 mph

[User]
a train 600 m long can cross an over brdge of 100 m long in 70 sec and then find the speed of the train?
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[Assistant] 36

[User]
when sold at a 60 % discount, a sweater nets the merchant a 35 % 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?
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[Assistant] 70.38 %

[User]
from a group of 3 women and 3 girls, 4 are to be randomly selected. what is the probability that equal numbers of women and girls will be selected?
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[Assistant] 3 / 5

[User]
what is the sum of natural numbers between 50 and 100
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[Assistant] 3825


[User]
the ratio of the volumes of two cubes is 125 : 1000. what is the ratio of their total surface areas?
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[Assistant] 1 : 4

[User]
if the mean of numbers 12, x, 42, 78 and 104 is 62, then what is the mean of 128, 255, 511, 1023 and x?
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[Assistant] 398.2

[User]
the ratio of the present ages of ramesh and mahesh is 2 : 5. 10 years hence, the ratio of their ages will be 10 : 15. find the difference in their present ages?
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[Assistant] 7.5

[User]
one boss decided to increase the salary of an employee by 5 %. how much will he get if his salary was rs. 2000?
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[Assistant] 2100

[User]
a ratio between two numbers is 7 : 9 and their l. c. m. is 189. the second number is
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[Assistant] 27


[User]
in a certain accounting class of 100 students, 70 % of the students took the final exam on the assigned day while the rest of the students took the exam on a make - up date. if the students on the assigned day had an average score of 60 %, and the students on the make - up date had an average score of 80 %, what was the average score for the entire class?
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[Assistant] 66 %

[User]
if p ( 32, 6 ) = kc ( 32, 6 ), then what is the value of k?
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[Assistant] 720

[User]
for how many values of q, is | | | q - 5 | - 10 | - 5 | = 2? ( those ls are mods )
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[Assistant] 8

[User]
at joes steakhouse the hourly wage for a chef is 25 % greater than that of a dishwasher, and the hourly wage of a dishwasher is half as much as the hourly wage of a manager. if a managers wage is $ 8.50 per hour, how much less than a manager does a chef earn each hour?
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[Assistant] $ 3.19

[User]
a manufacturer sells a pair of glasses to a wholesale dealer at a profit of 18 %. the wholesaler sells the same to retailer at a profit of 20 %. the retailer in turn sells them to a customer for rs. 30.09, there by earning a profit of 25 %. the cost price for the manufacturer is?
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[Assistant] 17


[User]
two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 11 kmph and 21 kmph respectively. when they meet, it is found that one train has traveled 60 km more than the other one. the distance between the two stations is?
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[Assistant] 384

[User]
in 10 years, a will be twice as old as b was 10 years ago. if a is now 9 years older than b, the present age of b is?
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[Assistant] 39 yr

[User]
if 89 / 99 = 0.898, what is the 83 rd digit to the right of the decimal point of the fraction?
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[Assistant] 8

[User]
little krish had $ 200.50. he spent $ 35.25 on sweets and gave to his two friends $ 25.20 each. how much money was left?
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[Assistant] $ 114.85

[User]
pat, kate, and mark charged a total of 117 hours to a certain project. if pat charged twice as much time to the project as kate and 1 / 3 as much time as mark, how many more hours did mark charge to the project than kate?
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[Assistant] 65


[User]
what is the probability of getting at least one six in a single throw of three unbiased dice?
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[Assistant] 91 / 216

[User]
in the coordinate plane a slope of the line k is 3 / 2 times the x - intercept of the line k. what is the y - intercept of the line k?
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[Assistant] 2 / 3

[User]
a wooden box of dimensions 8 m x 10 m x 6 m is to carry rectangularboxes of dimensions 4 cm x 5 cm x 6 cm. the maximum number ofboxes that can be carried in the wooden box, is
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[Assistant] 4000000

[User]
from a pack of 52 cards, two cards are drawn together at random. what is the probability of both the cards being kings?
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[Assistant] 1 / 221

[User]
a school has 4 section of chemistry in class x having 65, 35, 45 and 42 students. the mean marks obtained in chemistry test are 50, 60, 55 and 45 respectively for the 4 sections. determine the overall average of marks per student.
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[Assistant] 51.95


[User]
the speed at which a girl can row a boat in still water is 75 kmph. if he rows downstream, where the speed of current is 15 kmph, what time will he take to cover 300 metres?
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[Assistant] 16

[User]
x, y, and z are all unique numbers. if x is chosen randomly from the set { 8, 9, 10, 11 } and y and z are chosen randomly from the set { 20, 21, 22, 23 }, what is the probability that x and y are prime and z is not?
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[Assistant] 1 / 16

[User]
a basket of 1430 apples is divided equally among a group of apple lovers. if 45 people join the group, each apple lover would receive 9 apples less. how many apples did each person get before 45 people joined the feast?
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[Assistant] 22

[User]
a merchant purchased a jacket for $ 42 and then determined a selling price that equalled the purchase price of the jacket plus a markup that was 30 percent of the selling price. during a sale, the merchant discounted the selling price by 20 percent and sold the jacket. what was the merchant ’ s gross profit on this sale?
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[Assistant] $ 6

[User]
if two positive numbers are in the ratio 1 / 9 : 1 / 5, then by what percent is the second number more than the first?
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[Assistant] 80 %.


[User]
a pharmaceutical company received $ 3 million in royalties on the first $ 25 million in sales of and then $ 9 million in royalties on the next $ 130 million in sales. by approximately what percentage did the ratio of royalties to sales decrease from the first $ 25 million in sales to the next $ 130 million in sales?
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[Assistant] 42 %

[User]
running at their respective constant rate, machine x takes 2 days longer to produce w widgets than machines y. at these rates, if the two machines together produce 5 w / 4 widgets in 3 days, how many days would it take machine x alone to produce 5 w widgets.
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[Assistant] 30

[User]
two employees x and y are paid a total of rs. 616 per week by their employer. if x is paid 120 percent of the sum paid to y, how much is y paid per week?
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[Assistant] s. 280

[User]
carol and jordan draw rectangles of equal area. if carol's rectangle measures 5 inches by 24 inches and jordan's rectangle is 8 inches long, how wide is jordan's rectangle, in inches?
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[Assistant] 15

[User]
a side of beef lost 35 percent of its weight in processing. if the side of beef weighed 546 pounds after processing, how many pounds did it weigh before processing?
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[Assistant] 840


[User]
jacob is now 14 years younger than michael. if 9 years from now michael will be twice as old as jacob, how old will jacob be in 4 years?
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[Assistant] 9

[User]
a bag consists of 60 marbles, of which 5 are blue, 9 are red, and the remainder are white. if lisa is to select a marble from the bag at random, what is the probability that the marble will be red or white?
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[Assistant] 11 / 12

[User]
if 6 women can color 360 m long cloth in 3 days, then 5 women can color 100 m long cloth in?
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[Assistant] 1 day

[User]
when a certain number x is divided by 95, the remainder is 31. what is the remainder when x is divided by 19?
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[Assistant] 12

[User]
ram sold two bicycles, each for rs. 990. if he made 10 % profit on the first and 10 % loss on the second, what is the total cost of both bicycles?
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[Assistant] 2000


[User]
the simple form of the ratio 7 / 6 : 3 / 2 is?
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[Assistant] 7 : 9

[User]
a company produces 72000 bottles of water everyday. if a case can hold 9 bottles of water. how many cases are required by the company to hold its one day production
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[Assistant] 8000

[User]
a number is doubled and 5 is added. if the resultant is trebled, it becomes 135. what is that number?
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[Assistant] 20

[User]
on average, activated yeast cells divide once every 120 minutes ; that is, each individual cell divides into two individual cells over that time span. given that a certain yeast colony consisted of 310000 cells two hours ago, approximately how many cells will be populating the colony 12 hours from now?
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[Assistant] 39, 680000

[User]
the population of a town is 8000. it decreases annually at the rate of 10 % p. a. what will be its population after 1 years?
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[Assistant] 7200


[User]
the average ( arithmetic mean ) of 10, 30, and 50 is 8 more than the average of 20, 40, and x. what is x?
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[Assistant] 6

[User]
what is the value of ( p + q ) / ( p - q ) if p / q is 7?
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[Assistant] 4 / 3

[User]
what is the square root of 625, divided by 5?
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[Assistant] 5

[User]
find the simple interest on rs. 350 for 10 months at 5 paisa per month?
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[Assistant] 175

[User]
a and b can do a piece of work in 60 days and 60 days respectively. they work together for 10 days and b leaves. in how many days the whole work is completed?
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[Assistant] 30 days


[User]
2 + 2 + 2 ² + 2 ³... + 2 ^ 9
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[Assistant] 2 ^ 10

[User]
what is the ratio of 4 / 7 to the product 2 * ( 7 / 3 )?
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[Assistant] 6 : 49

[User]
calculate the sum of first 39 natural numbers.
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[Assistant] 780

[User]
operation # is defined as adding a randomly selected two digit multiple of 14 to a randomly selected two digit prime number and reducing the result by half. if operation # is repeated 10 times, what is the probability that it will yield at least two integers?
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[Assistant] 0 %

[User]
if the sides of a triangle are 26 cm, 24 cm and 10 cm, what is its area?
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[Assistant] 120 cm 2


[User]
n and m are each 3 - digit integers. each of the numbers 1, 2, 3, 4,5 and 6 is a digit of either n or m. what is the smallest possible positive difference between n and m?
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[Assistant] 49

[User]
of the 150 people at a party, 70 were women, and 40 women tried the appetizer. if 50 people did not try the appetizer, what is the total number of men who tried the appetizer?
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[Assistant] 60

[User]
the breath of a rectangular landscape is 6 times its length. there is a playground in it whose area is 4200 square mtr & which is 1 / 7 th of the total landscape. what is the breath of the landscape?
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[Assistant] 420

[User]
it was calculated that 75 men could complete a piece of work in 25 days. when work was scheduled to commence, it was found necessary to send 25 men to another project. how much longer will it take to complete the work?
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[Assistant] 37.5 days.

[User]
a farmer divides his herd of x cows among his 4 sons so that one son gets one half of the herd, the second gets one - fourth, the third gets one - fifth and the fourth gets 7 cows. then x is equal to
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[Assistant] 140


[User]
solve for x and check : x + 5 = 3
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[Assistant] - 2

[User]
a trained covered x km at 40 kmph and another 4 x km at 20 kmph. find the average speed of the train in covering the entire 3 x km.
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[Assistant] 13.33 kmph

[User]
a rectangular block 8 cm by 24 cm by 56 cm is cut into an exact number of equal cubes. find the least possible number of cubes?
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[Assistant] 21

[User]
the average wages of a worker during a fortnight comprising 15 consecutive working days was $ 90 per day. during the first 7 days, his average wages was $ 87 per day and the average wages during the last 7 days was $ 93 per day. what was his wage on the 8 th day?
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[Assistant] $ 90

[User]
find the compound ratio of ( 2 : 3 ), ( 5 : 11 ) and ( 11 : 2 ) is
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[Assistant] 5 : 3


[User]
what is the least common multiple of 15, 18, and 34?
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[Assistant] 1530

[User]
a meeting has to be conducted with 4 managers. find the number of ways in which the managers may be selected from among 8 managers, if there are 2 managers who refuse to attend the meeting together.
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[Assistant] 55

[User]
on the richter scale, which measures the total amount of energy released during an earthquake, a reading of x - 1 indicates one - tenth the released energy as is indicated by a reading of x. on that scale, the frequency corresponding to a reading of 9 is how many times as great as the frequency corresponding to a reading of 3?
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[Assistant] 10 ^ 6

[User]
the contents of a certain box consist of 72 apples and 30 oranges. how many oranges must be added to the box so that exactly 30 % of the pieces of fruit in the box will be apples?
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[Assistant] 138

[User]
a factory produces 6000 toys per week. if the workers at this factory work 4 days a week and if these workers make the same number of toys everyday, how many toys are produced each day?
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[Assistant] 1500 toys


[User]
two mechanics were working on your car. one can complete the given job in six hours, but the new guy takes 9 hours. they worked together for the first two hours, but then the first guy left to help another mechanic on a different job. how long will it take the new guy to finish your car?
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[Assistant] 32 / 9

[User]
a box contains 100 balls, numbered from 1 to 100. if 3 balls are selected at random and with replacement from the box, what is the probability that the sum of the 3 numbers on the balls selected from the box will be odd?
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[Assistant] 1 / 2

[User]
two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively. if 2 litres from vessel p is mixed with 8 litres from vessel q, the ratio of alcohol and water in the resulting mixture is?
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[Assistant] 33 : 7

[User]
the average age of a class of 39 students is 15 years. if the age of the teacher be included, then the average increases by 3 months. find the age of the teacher.
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[Assistant] 25

[User]
a man can row 5 kmph in still water. when the river is running at 2.3 kmph, it takes him 1 hour to row to a place and black. what is the total distance traveled by the man?
Answer the question using a single word or phrase.

[Assistant] 3.78


[User]
a part - time employee whose hourly wage was increased by 15 percent decided to reduce the number of hours worked per week so that the employee's total weekly income would remain unchanged. by what percent should the number of hours worked be reduced?
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[Assistant] 13.04

[User]
if 4 ( p's capital ) = 6 ( q's capital ) = 10 ( r's capital ), then out of the total profit of rs 4650, how much r will receive?
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[Assistant] 900

[User]
a 260 m long train running at the speed of 120 km / hr crosses another train running in opposite direction at the speed of 80 km / hr in 9 sec. what is the length of the other train?
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[Assistant] 240 mts

[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 r are there between 6 * + 2 and 6 * + 6, inclusive?
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[User]
25 people went to a hotel for combine dinner party 15 of them spent rs. 5 each on their dinner and rest spent 4 more than the average expenditure of all the 25. what was the total money spent by them.
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[Assistant] 158.25


[User]
find the number of divisors of 1080 excluding the divisors which are perfect squares.
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[Assistant] 28

[User]
line q has the equation 5 y – 3 x = 60. if line s is perpendicular to q, has an integer for its y - intercept, and intersects q in the second quadrant, then how many possible line s ’ s exist? ( note : intersections on one of the axes do not count. )
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[Assistant] 45

[User]
when greenville state university decided to move its fine arts collection to a new library, it had to package the collection in 20 - inch by 20 - inch by 15 - inch boxes. if the university pays $ 0.70 for every box, and if the university needs 3.06 million cubic inches to package the collection, what is the minimum amount the university must spend on boxes?
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[Assistant] $ 357

[User]
on a race track a maximum of 5 horses can race together at a time. there are a total of 25 horses. there is no way of timing the races. what is the minimum number y of races we need to conduct to get the top 3 fastest horses?
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[Assistant] 7

[User]
walking at 5 / 6 of its usual speed, a train is 10 minutes too late. what is usual time to cover the journey?
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[Assistant] 5 / 6 hours


[User]
a fruit seller sells mangoes at the rate of rs. 6 per kg and thereby loses 15 %. at what price per kg, he should have sold them to make a profit of 5 %
Answer the question using a single word or phrase.

[Assistant] rs 7.41

[User]
the salaries of a and b together amount to $ 5000. a spends 95 % of his salary and b, 85 % of his. if now, their savings are the same, what is a's salary?
Answer the question using a single word or phrase.

[Assistant] $ 3750

[User]
when tossed, a certain coin has an equal probability of landing on either side. if the coin is tossed 4 times, what is the probability that it will land on the same side each time?
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[Assistant] 1 / 8

[User]
bob wants to run a mile in the same time as his sister. if bob ’ s time for a mile is currently 10 minutes 40 seconds and his sister ’ s time is currently 9 minutes 42 seconds, by what percent does bob need to improve his time in order run a mile in the same time as his sister?
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[Assistant] 9 %

[User]
convert 300 miles into meters?
Answer the question using a single word or phrase.

[Assistant] 482802


[User]
if d = 1 / ( 2 ^ 3 * 5 ^ 9 ) is expressed as a terminating decimal, how many nonzero digits will d have?
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[Assistant] two

[User]
the average weight of 5 person's increases by 4 kg when a new person comes in place of one of them weighing 50 kg. what is the weight of the new person?
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[Assistant] 70

[User]
what is the smallest integer that is multiple of 7, 12 and 20
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[Assistant] 420

[User]
the average age of 15 students of a class is 15 years. out of these, the average age of 8 students is 14 years and that of the other 6 students is 16 years. the age of the 15 th student is
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[Assistant] 17 years

[User]
the cost of a one - family home was $ 120,000 in 1980. in 1988, the price had increased to $ 174,000. what was the percent increase in the cost of the home?
Answer the question using a single word or phrase.

[Assistant] 45 %


[User]
in the faculty of reverse - engineering, 200 second year students study numeric methods, 400 second year students study automatic control of airborne vehicles and 100 second year students study them both. how many students are there in the faculty if the second year students are approximately 60 % of the total?
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[Assistant] 834

[User]
jerry went to a shop and bought things worth rs. 35, out of which 30 % 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] 29.7

[User]
how long does a train 110 m long running at the speed of 36 km / hr takes to cross a bridge 132 m length?
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[Assistant] 24.2 sec

[User]
kathleen can paint a room in 3 hours, and anthony can paint an identical room in 5 hours. how many hours would it take kathleen and anthony to paint both rooms if they work together at their respective rates?
Answer the question using a single word or phrase.

[Assistant] 15 / 4

[User]
1200 men have provisions for 15 days. if 200 more men join them, for how many days will the provisions last now?
Answer the question using a single word or phrase.

[Assistant] 12.85


[User]
the average ( arithmetic mean ) of 4 positive integers is 50. if the average of 2 of these integers is 35, what is the greatest possible value that one of the other 2 integers can have?
Answer the question using a single word or phrase.

[Assistant] 129

[User]
what will be the compound interest on a sum of rs. 21,000 after 3 years at the rate of 12 % p. a.?
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[Assistant] rs. 8503.49

[User]
a man swims downstream 72 km and upstream 45 km taking 10 hours each time ; what is the speed of the current?
Answer the question using a single word or phrase.

[Assistant] 1.35

[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 65 sq. cm. find the length of the rectangle.
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[Assistant] 16 cm

[User]
find the amount on rs. 6000 in 2 years, the rate of interest being 4 % per first year and 5 % for the second year?
Answer the question using a single word or phrase.

[Assistant] 6552


[User]
an aeroplane covers a certain distance at a speed of 320 kmph in 4 hours. to cover the same distance in 1 2 / 3 hours, it must travel at a speed of :
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[Assistant] 768

[User]
a customer bought a product at the shop. however, the shopkeeper increased the price of the product by 20 % so that the customer could not buy the required amount of the product. the customer managed to buy only 70 % 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?
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[Assistant] 16 %

[User]
a group of men decided to do a work in 10 days, but 5 of them became absent. if the rest of the group did the work in 12 days, find the original number of men?
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[Assistant] 30

[User]
george can do a piece of work in 8 hours. paul can do the same work in 10 hours, hari can do the same work in 12 hours. george, paul and hari start the same work at 9 am, while george stops at 11 am, the remaining two complete the work. what time will the work complete?
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[Assistant] 1 : 00 pm

[User]
if x and y are both odd prime numbers and x < y, how many distinct positive integer factors does 2 xy have?
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[Assistant] 8


[User]
if 3 cats can kill 3 rats in 3 minutes, how long will it take 100 cats to kill 100 rats?
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[Assistant] 3 minutes

[User]
hammers and wrenches are manufactured at a uniform weight per hammer and a uniform weight per wrench. if the total weight of two hammers and three wrenches is one - third that of 6 hammers and 5 wrenches, then the total weight of one wrench is how many times that of one hammer?
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[Assistant] 1 / 4

[User]
a certain quantity of 80 % solution is replaced with 25 % solution such that the new concentration is 35 %. what is the fraction of the solution that was replaced?
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[Assistant] 9 / 11

[User]
the number of diagonals of a polygon of n sides is given by the formula c = n ( n - 3 ) / 2. if a polygon has twice as many diagonals as sides, how many sides does it have?
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[Assistant] 5

[User]
5358 x 53 =?
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[Assistant] 283974


[User]
80 is increased by 50 %. find the final number.
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[Assistant] 120

[User]
the total age of a and b is 12 years more than the total age of b and c. c is how many years younger than a?
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[Assistant] 12

[User]
in a bag, there are 2400 ball, and their colors are red, green blue.. the ratio of the balls are 15 : 13 : 17. then how many red color balls are available in the bag?
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[Assistant] 900

[User]
the average age of 39 students in a group is 10 years. when teacher ’ s age is included to it, the average increases by one. what is the teacher ’ s age in years?
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[Assistant] 50

[User]
an alloy is to contain copper and zinc in the ratio 9 : 4. the zinc required to be melted with 24 kg of copper is?
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[Assistant] 10.7 kg


[User]
two trains of equal lengths take 9 sec and 15 sec respectively to cross a telegraph post. if the length of each train be 120 m, in what time will they cross other travelling in opposite direction?
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[Assistant] 11.3

[User]
trains a and b start simultaneously from stations 350 miles apart, and travel the same route toward each other on adjacent parallel tracks. if train a and train b travel at a constant rate of 40 miles per hour and 30 miles per hour, respectively, how many miles will train a have traveled when the trains pass each other, to the nearest mile?
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[Assistant] 200

[User]
harold works at a resort from the beginning of march to the end of september. during the month of august this past year, he made 6 times the average ( arithmetic mean ) of his monthly totals in tips for the other months. his total tips for august were what fraction of his total tips for all of the months he worked?
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[Assistant] 1 / 2

[User]
for how many values of n, is | | | n - 5 | - 10 | - 5 | = 2? ( those ls are mods )
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[Assistant] 8

[User]
mr. kramer, the losing candidate in a two - candidate election, received 942,568 votes, which was exactly 42 percent of all votes cast. approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast?
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[Assistant] 14 %


[User]
a certain bus driver is paid a regular rate of $ 15 per hour for any number of hours that does not exceed 40 hours per week. for any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75 % higher than his regular rate. if last week the bus driver earned $ 976 in total compensation, how many total hours did he work that week?
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[Assistant] 54

[User]
in a class, 6 students can speak tamil, 15 can speak gujarati and 6 can speak h. if two students can speak two languages and one student can speak all the 3 languages, then how many students are there in the class?
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[Assistant] 23

[User]
what should be the least number to be added to the 3198 number to make it divisible by 8?
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[Assistant] 2

[User]
60 men shake hands with each other. maximum no of handshakes without cyclic handshakes.
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[Assistant] 1770

[User]
what is the difference between the c. i. on rs. 4000 for 1 1 / 2 years at 4 % per annum compounded yearly and half - yearly?
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[Assistant] s. 1.63


[User]
approximately what percentage of the world ’ s forested area is represented by finland given that finland has 53.42 million hectares of forested land of the world ’ s 8.076 billion hectares of forested land.
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[Assistant] 0.66 %

[User]
two stations a and b are 65 km apart on a straight line. one train starts from a at 7 a. m. and travels towards b at 20 kmph. another train starts from b at 8 a. m. and travels towards a at a speed of 25 kmph. at what time will they meet?
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[Assistant] 9

[User]
divide rs. 800 among a, b and c so that a receives 1 / 3 as much as b and c together and b receives 2 / 3 as a and c together. a's share is?
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[Assistant] s. 200

[User]
x and y invested in a business. they earned some profit which they divided in the ratio of 2 : 3. if x invested rs. 60,000. the amount invested by y is
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[Assistant] rs. 90,000

[User]
salesperson a's compensation for any week is $ 360 plus 6 percent of the portion of a's total sales above $ 1,000 for that week. salesperson b's compensation for any week is 10 percent of a's total sales for that week. for what amount of total weekly sales would both salepeople earn the same compensation?
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[Assistant] $ 15,000


[User]
what is the smallest positive integer k such that the product of 61347 x k is a perfect square?
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[Assistant] 3

[User]
the total age of a and b is 13 years more than the total age of b and c. c is how many years younger than a.?
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[Assistant] 13

[User]
a pupil's marks were wrongly entered as 67 instead of 45. due to that the average marks for the class got increased by half. the number of pupils in the class is :
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[Assistant] 44

[User]
how long does a train 100 m long traveling at 60 kmph takes to cross a bridge of 170 m in length?
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[Assistant] sec

[User]
a marketing survey of anytown found that the ratio of trucks to sedans to motorcycles was 3 : 7 : 2, respectively. given that there are 9,100 sedans in anytown, how many motorcycles are there?
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[Assistant] 2600