[User]
there are 4 runners on a track team who run an average of 4.5 seconds per 40 yards. if another runner joins their team who runs 4.3 seconds per 40 yards, what will the new average 40 yard time be?
Answer the question using a single word or phrase.

[Assistant] 4.46

[User]
a train is moving at 4 / 5 of its usual speed. the train is 30 minutes too late. what is the usual time ( in hours ) for the train to complete the journey?
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[Assistant] 2

[User]
the speed of a car increases by 2 kms after every one hour. if the distance travelling in the first one hour was 50 kms. what was the total distance traveled in 12 hours?
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[Assistant] 732 kms

[User]
what is the least integer greater than – 3 + 0.5?
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[Assistant] – 2

[User]
if greg buys 3 shirts, 4 trousers and 2 ties, the total cost is $ 90. if greg buys 7 shirts, 2 trousers and 2 ties, the total cost is $ 50. how much will it cost him to buy 3 trousers, 5 shirts and 2 ties?
Answer the question using a single word or phrase.

[Assistant] $ 70


[User]
in a certain candy store, 22 % of the customers are caught sampling the candy and are charged a small fine, but 8 % of the customers who sample the candy are not caught. what is the total percent of all customers who sample candy?
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[Assistant] 23.9 %

[User]
| x + 3 | – | 4 - x | = | 8 + x | how many u solutions will this equation have?
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[Assistant] 0

[User]
the area of an isosceles trapezoid with sides of length 5 and bases of length 6 and 12 is?
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[Assistant] 36

[User]
a sum of money is sufficient to pay a's wages for 21 days and b's wages for 28 days. the same money is sufficient to pay the wages of both for?
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[Assistant] 12 days

[User]
in a certain school, 20 % of students are below 8 years of age. the number of students above 8 years of age is 2 / 3 of the number of students of 8 years of age which is 24. what is the total number of students in the school?
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[Assistant] 50


[User]
the l. c. m. of two numbers is 48. the numbers are in the ratio 2 : 3. then sum of the number is :
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[Assistant] 40

[User]
if x + ( 1 / x ) = 5, what is the value of r = x ^ 2 + ( 1 / x ) ^ 2?
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[Assistant] r = 23

[User]
how many multiples of 2 are there between 1 and 56, exclusive?
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[Assistant] 27

[User]
the average of marks obtained by 120 boys was 39. if the average of marks of passed boys was 39 and that of failed boys was 15, the number of boys who passed the examination is?
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[Assistant] 120

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


[User]
the length of a rectangle is halved, while its breadth is tripled. wat isthe % change in area?
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[Assistant] 50 %

[User]
3, 7,12, 18,25.............. 10 th terms
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[Assistant] 74

[User]
10 men and 15 women together can complete a work in 5 days. it takes 100 days for one man alone to complete the same work. how many days will be required for one woman alone to complete the same work?
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[Assistant] 150 days

[User]
two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively. if they cross each other in 25 seconds, what is the ratio of their speeds?
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[Assistant] 4 : 1

[User]
on selling 20 balls at rs. 720, there is a loss equal to the cost price of 5 balls. the cost price of a ball is :
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[Assistant] s. 48


[User]
the average of first 13 natural numbers is?
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[Assistant] 7

[User]
tom opened a shop investing rs. 30000. jose joined him 2 months later, investing rs. 45000. they earned a profit of rs. 54000 after completion of one year. what will be jose's share of profit?
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[Assistant] 30000

[User]
fresh grapes contain 75 % water by weight and raisins obtained by drying fresh grapes contain 25 % water by weight. how many kgs of fresh grapes are needed to get 25 kgs of raisins?
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[Assistant] 75 kgs

[User]
every year an amount increases by 1 / 8 th of itself. how much will it be after two years if its present value is rs. 64000?
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[Assistant] 81000

[User]
a train covers a distance of 12 km in 10 min. if it takes 5 sec to pass a telegraph post, then the length of the train is?
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[Assistant] 160 m


[User]
victor gets 95 % marks in examinations. if these are 285 marks, find the maximum marks.
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[Assistant] 300

[User]
last month, john rejected 0.5 % of the products that he inspected and jane rejected 0.9 percent of the products that she inspected. if total of 0.75 percent of the products produced last month were rejected, what fraction of the products did jane inspect?
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[Assistant] 5 / 8

[User]
find the circumference and area of radius 7 cm.
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[Assistant] 154 cm ²

[User]
a company wants to spend equal amounts of money for the purchase of two types of computer printers costing $ 375 and $ 150 per unit, respectively. what is the fewest number of computer printers that the company can purchase?
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[Assistant] 7

[User]
how many integerskgreater than 100 and less than 1200 are there such that if the hundreds and the units digits ofkare reversed, the resulting integer is k + 99?
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[Assistant] 100


[User]
a batch of cookies was divided amomg 3 tins : 2 / 3 of all the cookies were placed in either the blue or the green tin, and the rest were placed in the red tin. if 1 / 5 of all the cookies were placed in the blue tin, what fraction of the cookies that were placed in the other tins were placed in the green tin
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[Assistant] 21 / 31

[User]
a grocer is storing soap boxes in cartons that measure 30 inches by 42 inches by 60 inches. if the measurement of each soap box is 7 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] 360

[User]
if ( a - b - c + d = 13 ) and ( a + b - c - d = 5 ), what is the value of ( b - d ) ^ 2?
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[Assistant] 16

[User]
a hollow iron pipe is 21 cm long and its external diameter is 8 cm. if the thickness of the pipe is 1 cm and iron weighs 8 g / cm 3, then the weight of the pipe is
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[Assistant] 3.696 kg

[User]
a train 225 m in length crosses a telegraph post in 15 seconds. the speed of the train is?
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[Assistant] 32 kmph


[User]
find the value of 3 x [ ( 3.6 x 0.48 x 2.50 ) / ( 0.12 x 0.09 x 0.5 ) ]
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[Assistant] 2400

[User]
sara bought both german chocolate and swiss chocolate for some cakes she was baking. the swiss chocolate cost $ 3.5 per pound, and german chocolate cost $ 2.8 per pound. if the total the she spent on chocolate was $ 28 and both types of chocolate were purchased in whole number of pounds, how many total pounds of chocolate she purchased?
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[Assistant] 9

[User]
the length of the bridge, which a train 110 metres long and travelling at 45 km / hr can cross in 30 seconds, is?
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[Assistant] 265 m

[User]
if 16 men can reap 80 hectares in 24 days, then how many hectares can 36 men reap in 30 days?
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[Assistant] 225

[User]
a shop sells 1 chocolate at the rate rupee 1 each. you can exchange 3 warppers for one chocolate. if you have rs. 15, what is the maximum number of chocolates you can get?
Answer the question using a single word or phrase.

[Assistant] 22


[User]
jim is now twice as old as fred, who is 9 years older than sam. 6 years ago, jim was 5 times as old as sam. how old is jim now?
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[Assistant] 46

[User]
a person lent a certain sum of money at 4 % per annum at simple interest and in 8 years the interest amounted to rs. 204 less than the sum lent. what was the sum lent?
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[Assistant] 300

[User]
in the coordinate plane, a circle centered on point ( 3, - 4 ) passes through point ( 1, 1 ). what is the area of the circle?
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[Assistant] 29 π

[User]
the l. c. m. of 2 numbers is 48. the numbers are in the ratio 2 : 3. find their sum?
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[Assistant] 40

[User]
the credit card and a global payment processing companies have been suffering losses for some time now. a well known company recently announced its quarterly results. according to the results, the revenue fell to $ 42.0 billion from $ 69.0 billion, a year ago. by what percent did the revenue fall?
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[Assistant] 39.1


[User]
how many positive integers less than 100 have a remainder of 2 when divided by 13?
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[Assistant] 8

[User]
convert 60 miles into yards?
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[Assistant] 105600 yards

[User]
the price of a bushel of corn is currently $ 3.20, and the price of a peck of wheat is $ 10.80. the price of corn is increasing at a constant rate of 5 x cents per day while the price of wheat is decreasing at a constant rate of x ( 2 ^ 1 / 2 ) - x cents per day. what is the approximate price when a bushel of corn costs the same amount as a peck of wheat?
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[Assistant] $ 10.2

[User]
how many positive integers e between 200 and 300 ( both inclusive ) are not divisible by 2, 3 or 5?
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[Assistant] 26

[User]
the hcf of two numbers is 23 and the other two factors of their lcm are 13 and 14. what is the largest number?
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[Assistant] 322


[User]
in a box, there are 8 orange, 7 black and 6 white balls. if one ball is picked up randomly. what is the probability that it is neither orange nor white?
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[Assistant] 8 / 21

[User]
suraj has a certain average of runs for 12 innings. in the 13 th innings he scores 96 runs thereby increasing his average by 5 runs. what is his average after the 13 th innings?
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[Assistant] 36

[User]
total number of boys and girls in a school is 150. if the number of boys is x, then girls become x % of the total number of students. the number of boys is
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[Assistant] 60

[User]
$ 20000 will become $ 60000 at 20 % p. a. find the time?
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[Assistant] 10 years

[User]
a certain car dealership sells economy cars, luxury cars, and sport utility vehicles. the ratio of economy to luxury cars is 6 : 2. the ratio of economy cars to sport utility vehicles is 5 : 3. what is the ratio of luxury cars to sport utility vehicles?
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[Assistant] 8 : 9


[User]
what is the smallest integer that satisfies the inequality ( ( x - 3 ) / ( x ^ 2 - 8 x - 20 ) ) > 0?
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[Assistant] - 1

[User]
the average ( arithmetic mean ) of 20, 40, and 60 is 5 more than the average of 10, 80, and what number?
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[Assistant] 15

[User]
if a = 105 and a ^ 3 = 21 * 49 * 45 * b, what is the value of b?
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[Assistant] 25

[User]
james took a 3 - hour bike ride. in the second hour he traveled 30 miles, which was 20 percent farther than he traveled the first hour. if he traveled 25 percent farther in the third hour than he did in the second hour, how many miles did jose travel during the entire ride?
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[Assistant] 92.5

[User]
calculate the value of n from the below equation : n ^ 3 â ˆ ’ 10 n + 20 = 44
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[Assistant] 4


[User]
a number x is multiplied by 5, and this product is then divided by 3. if the positive square root of the result of these two operations equals x, what is the value of x if x ≠ 0?
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[Assistant] 5 / 3

[User]
what amount does an investor receive if the investor invests $ 4000 at 10 % p. a. compound interest for two years, compounding done annually?
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[Assistant] $ 4840

[User]
a store owner estimates that the average price of type a products will increase by 40 % 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] $ 15,430

[User]
the school soccer team looks at their record and finds that they win, lose, and tie games in a ratio of 4 : 3 : 1. how many games did they play if they lost 9 games?
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[Assistant] 24

[User]
if 9 gallons of gasoline are added to a tank that is already filled to 3 / 4 of its capacity, the tank is then filled to 9 / 10 of its capacity. how many gallons does the tank hold?
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[Assistant] 54


[User]
what is the remainder when 121212....... ( 300 ) digits is divided by 99.
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[Assistant] 18

[User]
walking 9 / 8 of his usual rate, a boy reaches his school 4 min early. find his usual time to reach the school?
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[Assistant] 36

[User]
the average of 30 numbers is 48. if three numbers namely 45, 55 and 43 are discarded, the average of remaining numbers is?
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[Assistant] 48.03

[User]
a man rows his boat 95 km downstream and 45 km upstream, taking 2 1 / 2 hours each time. find the speed of the stream?
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[Assistant] 10 kmph

[User]
a company has 15 managers and 75 associates. the 15 managers have an average salary of $ 210,000. the 75 associates have an average salary of $ 30,000. what is the average salary for the company?
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[Assistant] $ 60,000


[User]
a batsman scored 1 runs in his 18 th innings and that makes his average 18. find his average upto the 17 th innings?
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[Assistant] 19

[User]
if jack walked 9 miles in 1 hour and 15 minutes, what was his rate of walking in miles per hour?
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[Assistant] 7.2

[User]
a student chose a number, multiplied it by 2, then subtracted 148 from the result and got 110. what was the number he chose?
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[Assistant] 129

[User]
a crate measures 3 feet by 8 feet by 12 feet on the inside. a stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides. what is the radius, in feet, of the pillar with the largest volume that could still fit in the crate?
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[Assistant] 3

[User]
what percent of 17 is 17 percent of 1?
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[Assistant] 1


[User]
if [ x ] is the greatest integer less than or equal to x, what is the value of [ 1.6 ] + [ - 3.4 ] + [ 10.7 ]?
Answer the question using a single word or phrase.

[Assistant] 7

[User]
a firm is comprised of partners and associates in a ratio of 2 : 61. if 75 more associates were hired, the ratio of partners to associates would be 4 : 137. how many partners are currently in the firm?
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[Assistant] 20

[User]
evaluate : 37 - 18 ÷ 3 × 2 =
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[Assistant] 25

[User]
a train 225 m long running at 90 kmph crosses a platform in 25 sec. what is the length of the platform?
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[Assistant] 400

[User]
in an election only two candidates contested 20 % of the voters did not vote and 120 votes were declared as invalid. the winner got 200 votes more than his opponent thus he secured 41 % votes of the total voters on the voter list. percentage votes of the defeated candidate out of the total votes casted is :
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[Assistant] 45


[User]
a 600 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. what is the length of the platform?
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[Assistant] 700

[User]
17 times a number gives 187. the number is
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[Assistant] 11

[User]
0.0008154 / 0.00205 x 16.5 =?
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[Assistant] 6.6

[User]
tammy climbed a mountain in two days. she spent a total of 14 hours climbing the mountain. on the second day, she walked at an average speed that was half a kilometer per hour faster, but 2 hours less than what she walked on the first day. if the total distance she climbed during the two days is 52 kilometers, how many r kilometers per hour did tammy walk on the second day?
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[Assistant] 4

[User]
a man sitting in a train which is traveling at 80 kmph observes that a goods train, traveling in opposite direction, takes 9 seconds to pass him. if the goods train is 280 m long, find its speed.?
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[Assistant] 32 kmph


[User]
howmany 3 digit numbers are there tens digit place is more than hundreds digit place and units place less than hundreds digit place?
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[Assistant] 120

[User]
a = 7 ^ 15 - 625 ^ 3 and a / x is an integer, where x is a positive integer greater than 1, such that it does not have a factor p such that 1 < p < x, then how many different values for x are possible?
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[Assistant] four

[User]
average of 10 matches is 32, how many runs one should should score to increase his average by 4 runs.
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[Assistant] 76

[User]
a particular library has 300 books in a special collection, all of which were in the library at the beginning of the month. these book are occasionally loaned out through an inter - library program. if, by the end of the month, 65 percent of books that were loaned out are returned and there are 244 books in the special collection at that time, how many books of the special collection were loaned out during that month?
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[Assistant] 160

[User]
in a lake, there is a patch of lily pads. every day, the patch doubles in size. it takes 58 days for the patch to cover the entire lake, how many days would it take the patch to cover half of the lake?
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[Assistant] 57


[User]
of the 200 employees at company x, 50 are full - time, and 150 have worked at company x for at least a year. there are 10 employees at company x who aren ’ t full - time and haven ’ t worked at company x for at least a year. how many full - time employees of company x have worked at the company for at least a year?
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[Assistant] 10

[User]
if the volume of two cubes are in the ratio 64 : 8, the ratio of their edges is :
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[Assistant] 2 : 1

[User]
population is 24000. population increases by 10 % every year, then the population after 3 years is?
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[Assistant] 31944

[User]
a man purchased 3 blankets @ rs. 100 each, 2 blankets @ rs. 150 each and two blankets at a certain rate which is now slipped off from his memory. but he remembers that the average price of the blankets was rs. 150. find the unknown rate of two blankets?
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[Assistant] 900

[User]
find the least number which when divided by 34 and 5 leaves a remainder of 4 in each case.
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[Assistant] 174


[User]
an artist wishes to paint a circular region on a square poster that is 3 feet on a side. if the area of the circular region is to be 1 / 2 the area of the poster, what must be the radius of the circular region in feet?
Answer the question using a single word or phrase.

[Assistant] sqrt ( 4.5 / pi )

[User]
two trains 120 m and 150 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks. the time which they take to cross each other is?
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[Assistant] 9.27 sec

[User]
a 160 meter long train crosses a man standing on the platform in 8 sec. what is the speed of the train?
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[Assistant] 72 kmph

[User]
18 beavers, working together in a constant pace, can build a dam in 12 hours. how many hours will it take 12 beavers that work at the same pace, to build the same dam?
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[Assistant] 18.

[User]
a batsman makes a score of 87 runs in the 17 th inning and thus increases his avg by 3. find his average after 17 th inning.
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[Assistant] 39


[User]
a company produces 120000 bottles of water everyday. if a case can hold 12 bottles of water. how many cases are required by the company to hold its one day production
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[Assistant] 10000

[User]
at a garage sale, all of the items were sold at different prices. if the price of a radio sold at the garage sale was both the 15 th highest price and the 22 nd lowest price among the prices of the items sold, how many items were sold at the garage sale?
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[Assistant] 36

[User]
the cash difference between the selling prices of an book at a profit of 4 % and 6 % is $ 3. the ratio of the two selling prices is :
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[Assistant] 52 : 53

[User]
in town x, 120 percent of the population are employed, and 80 percent of the population are employed males. what percent of the employed people in town x are females?
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[Assistant] 33 %

[User]
if an average hard drive had a capacity of 0.1 tb in 2000, and average hard drive capacities double every 5 years, what will be the average hard drive capacity in 2050?
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[Assistant] 1024


[User]
a worker can load one truck in 5 hours. a second worker can load the same truck in 8 hours. if both workers load one truck simultaneously while maintaining their constant rates, approximately how long, in hours, will it take them to fill one truck?
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[Assistant] 3.1

[User]
if 4 a = 5 b and ab ≠ 0, what is the ratio of a / 5 to b / 4?
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[Assistant] 1

[User]
what number is that, to which if 1, 5, and 13, be severally added, the first sum shall be to the second, as the second to the third?
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[Assistant] 3

[User]
the price of a cycle is reduced by 25 per cent. the new price is reduced by a further 40 per cent. the two reductions together are equal to a single reduction of
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[Assistant] 55 %

[User]
2.505 / 10.02 =
Answer the question using a single word or phrase.

[Assistant] 0.25


[User]
1000 boys have provisions for 15 days. if 200 more men join them, for how many days will the provisions last now?
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[Assistant] 12.5

[User]
in a certain neighborhood, there are half as many beige houses as white houses, and 6 times as many white houses as brown houses. what is the ratio of the number of brown houses to the number of beige houses?
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[Assistant] 1 : 3

[User]
a man buy a book in rs 50 & sale it rs 50. what is the rate of profit???
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[Assistant] 0 %

[User]
a train passes a station platform in 50 sec and a man standing on the platform in 20 sec. if the speed of the train is 72 km / hr. what is the length of the platform?
Answer the question using a single word or phrase.

[Assistant] 600

[User]
certain stocks in january were 40 % less than they were in february and 15 % greater than they were in march. what was the percentage decrease in the stocks from february to march?
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[Assistant] 48.8 %


[User]
the length of the bridge, which a train 150 metres long and travelling at 45 km / hr can cross in 30 seconds, is :
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[Assistant] 225 m

[User]
fresh grapes contain 85 % water by weight and raisins obtained by drying fresh grapes contain 25 % water by weight. how many kgs of fresh grapes are needed to get 20 kgs of raisins?
Answer the question using a single word or phrase.

[Assistant] 100 kgs

[User]
the average age of a family of 6 members is 24 years. if the age of the youngest member is 8 years, what was the average age of the family at the birth of the youngest member?
Answer the question using a single word or phrase.

[Assistant] 16

[User]
tickets to a certain concert sell for $ 20 each. the first 10 people to show up at the ticket booth received a 40 % discount, and the next 20 received a 15 % discount. if 45 people bought tickets to the concert, what was the total revenue from ticket sales?
Answer the question using a single word or phrase.

[Assistant] $ 760

[User]
a car averages 35 miles per hour for the first 4 hours of a trip and averages 44 miles per hour for each additional hour of travel time. if the average speed for the entire trip is 38 miles per hour, how many hours long is the trip?
Answer the question using a single word or phrase.

[Assistant] 6


[User]
a 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec. what is the length of the platform?
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[Assistant] 350

[User]
what is the decimal equivalent of ( 1 / 4 ) ^ 5?
Answer the question using a single word or phrase.

[Assistant] 0.0001

[User]
a palindrome is a number that reads the same front - to - back as it does back - to - front ( e. g. 202, 575, 1991, etc. ) p is the smallest integer greater than 800 that is both a prime and a palindrome. what is the sum of the digits of p?
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[Assistant] 7

[User]
a reduction of 35 % in the price of apples would enable a man to obtain 42 more for rs. 20, what is reduced price per dozen?
Answer the question using a single word or phrase.

[Assistant] 1.7

[User]
what is the units digit of ( 52 ^ 5 ) ( 37 ^ 3 ) ( 71 ^ 9 )?
Answer the question using a single word or phrase.

[Assistant] 6


[User]
how many seconds will a 220 metre long train take to cross a man running with a speed of 8 km / hr in the direction of the moving train if the speed of the train is 80 km / hr?
Answer the question using a single word or phrase.

[Assistant] 11

[User]
pipe a can fill a tank in 16 minutes and pipe b cam empty it in 24 minutes. if both the pipes are opened together after how many minutes should pipe b be closed, so that the tank is filled in 30 minutes?
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[Assistant] 21

[User]
what is the units digit of ( 147 ^ 25 ) ^ 50?
Answer the question using a single word or phrase.

[Assistant] 9

[User]
fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair. during a sale these regular unit prices are discounted at different rates so that a total of $ 9 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans. if the sum of the two discounts rates is 33 percent, what is the discount rate on pony jeans?
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[Assistant] 65 %

[User]
a train travelling at a speed of 75 mph enters a tunnel 31 / 2 miles long. the train is 1 / 4 mile long. how long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
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[Assistant] 3 min


[User]
the value of log 343 7 is
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[Assistant] 1 / 3

[User]
a watch was sold at a loss of 16 %. if it was sold for rs. 140 more, there would have been a gain of 4 %. what is the cost price?
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[Assistant] 700

[User]
robin's average ( arithmetic mean ) test score on 9 tests is 82. what must be robin's score on a 10 th test for his average score on the 10 tests to be 83?
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[Assistant] 92

[User]
the simple form of the ratio 9 / 8 : 3 / 4 is?
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[Assistant] 3 : 2

[User]
a goods train runs at the speed of 72 km / hr and crosses a 210 m long platform in 26 sec. what is the length of the goods train?
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[Assistant] 310


[User]
linda spent 3 / 4 of her savings on furniture and the rest on a tv. if the tv cost her $ 220, what were her original savings?
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[Assistant] $ 880

[User]
i have only 1 $ and 2 $ note. i want to give 95 $ to john. how many maximum number of 2 $ note i need?
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[Assistant] 47

[User]
if 10,000 microns = 1 decimeter, and 10,000, 000,000 angstroms = 1 decimeter, how many angstroms equal 1 micron?
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[Assistant] 1, 000,000

[User]
a train 125 m long crosses a platform 125 m long in 14 sec ; find the speed of the train?
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[Assistant] 64 kmph

[User]
salad dressing p is made up of 30 % vinegar and 70 % oil, and salad dressing q contains 10 % vinegar and 90 % oil. if the two dressings are combined to produce a salad dressing that is 12 % vinegar, dressing p comprises what percentage of the new dressing?
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[Assistant] 10 %


[User]
what is the compound interest paid on a sum of rs. 3500 for the period of 2 years at 10 % per annum.
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[Assistant] 735

[User]
a grand father has 3 grand children. age difference of two children among them is 3. eldest child age is 3 times the youngest child ’ s age and the eldest child age is two year more than the sum of age of other two children. what is the age of the eldest child?
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[Assistant] 15

[User]
rs. 1500 is divided into two parts such that if one part is invested at 6 % and the other at 5 % the whole annual interest from both the sum is rs. 87. how much was lent at 5 %?
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[Assistant] 300

[User]
what is the lowest positive integer that is divisible by 4 through 7, inclusive?
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[Assistant] 840

[User]
of the people who responded to a market survey, 60 preferred brand x and the rest preferred brand y. if the respondents indicated a preference for brand x over brand y by ratio of 3 to 1, how many people responded to the survey?
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[Assistant] 80


[User]
the average of 50 numbers id 38. if two numbers, namely 45 and 55 are discarded, the average of the remaining numbers is :
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[Assistant] 37.5

[User]
when fair coin is tossed 9 times find the probability of getting head at least once.
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[Assistant] 511 / 512

[User]
an outlet pipe empties a tank which is full in 10 hours. if the inlet pipe is kept open, which lets water in at the rate of 16 litres / min then outlet pipe would take 8 hours longer. find the capacity of the tank.
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[Assistant] 21600 litres

[User]
in a certain company, a third of the workers do not have a retirement plan. 50 % of the workers who do not have a retirement plan are women, and 40 % of the workers who do have a retirement plan are men. if 120 of the workers of that company are men, how many of the workers are women?
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[Assistant] 156

[User]
which number need to add to 1782452 to get a number exactly divisible by 92?
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[Assistant] 48


[User]
a boat takes 19 hours for travelling downstream fro poin a to point b and coming back to a point c midway between a and b. if the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph, what is the distance between a and b?
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[Assistant] 180 km

[User]
city x has a population 7 times as great as the population of city y, which has a population twice as great as the population of city z. what is the ratio of the population of city x to the population of city z?
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[Assistant] 14 : 1

[User]
in a certain supermarket, a triangular display of cans is arranged in 10 rows, numbered 1 through 10 from top to bottom. each successively numbered row contains 3 more cans than the row immediately above it. if there are fewer than 150 cans in the entire display, how many cans are in the sixth row?
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[Assistant] 16

[User]
20 balls are numbered 1 to 20. a ball is drawn and then another ball is drawn without replacement. what is the probability that both balls have even numbers?
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[Assistant] 9 / 38

[User]
how long does a train 120 m long travelling at 60 kmph takes to cross a bridge of 170 m in length?
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[Assistant] 17.4 sec


[User]
the probability that a number selected at random from first 50 natural numbers is a composite number is
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[Assistant] 17 / 25

[User]
the speed of a train is 90 kmph. what is the distance covered by it in 15 minutes?
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[Assistant] 22.5

[User]
225, or 15 ^ 2, is the first perfect square that begins with two 2 s. what is the sum of the digits of the next perfect square to begin with two 2 s?
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[Assistant] 13

[User]
what is the angle between the two hands of a clock when time is 8 : 30
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[Assistant] 75 degree

[User]
two trains are moving at 80 kmph and 70 kmph in opposite directions. their lengths are 150 m and 100 m respectively. the time they will take to pass each other completely is?
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[Assistant] 6 sec


[User]
if x > 0, x / 50 + x / 25 is what percent of x?
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[Assistant] 6 %

[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 train 110 m long running at 52 kmph crosses a platform in 30 sec. what is the length of the platform?
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[Assistant] 323

[User]
when magnified 1,000 times by an electron microscope, the image of a certain circular piece of tissue has a diameter of 1 centimeter. the actual diameter of the tissue, in centimeters, is
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[Assistant] 0.001

[User]
the distance from city a to city b is 120 miles. while driving from city a to city b, cara drives at a constant speed of 30 miles per hour. dan leaves city a 90 minutes after cara. what is the minimum constant speed in miles per hour that dan must exceed in order to arrive in city b before cara?
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[Assistant] 48


[User]
a and b began business with rs. 2000 and rs. 4000 after 8 months, a withdraws rs. 1000 and b advances rs. 1000 more. at the end of the year, their profits amounted to rs. 630 find the share of a.
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[Assistant] 175

[User]
a fair coin is tossed 9 times. what is the probability of getting more heads than tails in 9 tosses?
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[Assistant] 1 / 2

[User]
if 18 bindres bind 900 books in 10 days, how many binders will be required to bind 660 books in 12 days?
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[Assistant] 11

[User]
if a ã — b = 2 a - 3 b + ab, then 1 ã — 2 + 2 ã — 1 is equal to :
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[Assistant] 1

[User]
when a train travels at a speed of 80 kmph, it reaches the destination on time. when the same train travels at a speed of 50 kmph, it reaches its destination 15 min late. what is the length of journey?
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[Assistant] 25 km


[User]
a train running at the speed of 60 km / hr crosses a pole in 4 seconds. find the length of the train.
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[Assistant] 66.67

[User]
the average marks of a class of 30 students is 40 and that of another class of 50 students is 60. find the average marks of all the students?
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[Assistant] 52.5

[User]
75 men working 8 hours per day dig 50 m deep. how many extra men should be put to dig to a depth of 70 m working 6 hours per day?
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[Assistant] 65

[User]
on a certain date, pat invested $ 5,000 at x percent annual interest, compounded annually. if the total value of the investment plus interest at the end of 12 years will be $ 20,000, in how many years, the total value of the investment plus interest will increase to $ 30,000?
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[Assistant] 15

[User]
a clock store sold a certain clock to a collector for 20 percent more than the store had originally paid for the clock. when the collector tried to resell the clock to the store, the store bought it back at 50 percent of what the collector had paid. the shop then sold the clock again at a profit of 80 percent on its buy - back price. if the difference between the clock's original cost to the shop and the clock's buy - back price was $ 100, for how much did the shop sell the clock the second time?
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[Assistant] $ 270


[User]
the average of first six prime numbers greater than 3 is?
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[Assistant] 12

[User]
positive integer y is 50 percent of 50 percent of positive integer x, and 2 y percent of x equals 100. what is the value of x?
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[Assistant] 140

[User]
nhai employs 100 men to build a highway of 2 km in 50 days working 8 hours a day. if in 25 days they completed 1 / 3 part of work. than how many more employees should nhai hire to finish it in time working 10 hours a day?
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[Assistant] 60

[User]
find the principle on a certain sum of money at 5 % per annum for 2 2 / 5 years if the amount being rs. 1680?
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[Assistant] 1500

[User]
if x : y = 1 : 2, find the value of ( 2 x + 3 y ) : ( x + 4 y )
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[Assistant] 8 : 9


[User]
what number has a 5 : 1 ratio to the number 13?
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[Assistant] 65

[User]
three cubes of metal whose edges are 5, 10 and 15 cm respectively, are melted and one new cube is made. find the edge of the new cube?
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[Assistant] 16.5

[User]
a train 490 m long, running with a speed of 63 km / hr will pass a tree in?
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[Assistant] 28 sec

[User]
the dimensions of a field are 20 m by 5 m. a pit 10 m long, 4 m wide and 3 m deep is dug in one corner of the field and the earth removed has been evenly spread over the remaining area of the field. what will be the rise in the height of field as a result of this operation?
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[Assistant] 2 m

[User]
a 600 meter long train crosses a signal post in 60 seconds. how long will it take to cross a 3 kilometer long bridge, at the same speed?
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[Assistant] 6 min


[User]
george does 3 / 5 th of a piece of work in 9 days. he then calls in paul, and they finish the work in 4 days. how long would paul take to do the work by himself?
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[Assistant] 30

[User]
a boat sails 15 km of a river towards upstream in 5 hours. how long will it take to cover the same distance downstream, if the speed of current is one - fourth the speed of the boat in still water :
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[Assistant] 3

[User]
if 15 % of a is the same as 20 % of b, then a : b is :
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[Assistant] 4 : 3

[User]
a man whose speed is 7.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
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[Assistant] 7.2

[User]
there is 60 % increase in an amount in 6 years at si. what will be the ci of rs. 16,000 after 3 years at the same rate?
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[Assistant] 5296


[User]
along a yard 255 metres long, 18 trees are palnted at equal distances, one tree being at each end of the yard. what is the distance between two consecutive trees
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[Assistant] 15

[User]
if the cost price is 92 % of the selling price, then what is the profit percent?
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[Assistant] 9 %

[User]
how much time will a train of length 280 m moving at a speed of 72 kmph take to cross another train of length 360 m, moving at 36 kmph in the same direction?
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[Assistant] 64

[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 16 hours and 81 hours respectively. the ratio of their speeds is?
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[Assistant] 9 : 4

[User]
sandy is younger than molly by 10 years. if their ages are in the respective ratio of 7 : 9, how old is molly?
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[Assistant] 45


[User]
if x * y = xy – 2 ( x + y ) for all integers x and y, then 5 * ( – 3 ) =
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[Assistant] – 19

[User]
two assembly line inspectors, lauren and steven, inspect widgets as they come off the assembly line. if lauren inspects every fourth widget, starting with the fourth, and steven inspects every third, starting with the third, how many of the 98 widgets produced in the first hour of operation are not inspected by either inspector?
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[Assistant] 53

[User]
on the first of the year, james invested x dollars at proudstar bank in an account that yields 2.2 % in interest every quarter year. at the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. if james had invested the same amount in an account which pays interest on a yearly basis, what must the interest rate be for james to have y dollars at the end of the year?
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[Assistant] 9 %

[User]
a certain clock marks every hour by striking a number of times equal to the hour, and the time require for a stroke is exactly equal to the time interval between strokes. at 6 : 00 the time lapse between the beginning of the first stoke and the end of the last stroke is 22 seconds. at 9 : 00, how many seconds elapse between the beginning of the first stroke and the end of the last stroke?
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[Assistant] 34

[User]
find the compound interest on $ 50000 in 2 years at 4 % per annum, the interest being compounded half - yearly?
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[Assistant] $ 4121.60


[User]
i travel the first part of my journey at 40 kmph and the second part at 60 kmph and cover the total distance of 240 km to my destination in 5 hours. how long did the first part of my journey last?
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[Assistant] 3 hours

[User]
the set s has 36 different subsets each of which contains exactly two elements. how many subsets of s could contain exactly 7 elements each?
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[Assistant] 36

[User]
a 100 - litre mixture of milk and water contains 36 litres of milk.'x'litres of this mixture is removed and replaced with an equal quantum of water. if the process is repeated once, then the concentration of the milk stands reduced at 25 %. what is the value of x?
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[Assistant] 16.67 litres

[User]
x + ( 1 / x ) = 4 find x ^ 2 + ( 1 / x ^ 2 )
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[Assistant] 14

[User]
a present value of a machine is $ 1200. its value depletion rate is 10 % per annum then find the machine value after 2 years?
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[Assistant] $ 972


[User]
the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 16 cm each. the radius of the sphere is
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[Assistant] 8 cm

[User]
for what value of k will the two equations 2 x + 4 = 4 ( x - 2 ) and - x + k = 2 x - 1 have the same solution?
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[Assistant] 17

[User]
the owner of a furniture shop charges his customer 24 % more than the cost price. if a customer paid rs. 7967 for a computer table, then what was the cost price of the computer table?
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[Assistant] 6425

[User]
a fair price shopkeeper takes 10 % profit on his goods. he lost 20 % goods during theft. his loss percent is?
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[Assistant] 12

[User]
a boat having a length 4 m and breadth 2 m is floating on a lake. the boat sinks by 1 cm when a man gets on it. the mass of the man is :
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[Assistant] 80 kg


[User]
for an international mathematics olympiad, country d will send 6 delegates in total — two will be supervisors and 4 will be contestants. there are 210 ways in which the 6 delegates can be chosen and there are 7 candidates competing for the 4 contestants ’ places available. how many candidates are competing for the two supervisors ’ slots available?
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[Assistant] 4

[User]
a certain car can travel 40 minutes on a gallon of gasoline at 80 miles per hour. if the car had started with a full tank and had 8 gallons of gasoline left in its tank at the end, then what percent of the tank was used to travel 80 miles at 80 mph?
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[Assistant] 16 %

[User]
cricket match is conducted in us. the run rate of a cricket game was only 3.2 in first 10 over. what should be the run rate in the remaining 40 overs to reach the target of 292 runs?
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[Assistant] 6.5

[User]
simple interest on a certain sum of money for 3 years at 8 % per annum is half the compound interest on rs. 4000 for 2 years at 10 % per annum. the sum placed on simple interest is :
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[Assistant] 1750

[User]
the product z of two prime numbers is between 20 and 56. if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 14 but less than 30 then what is z?
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[Assistant] 51


[User]
5800 * 99
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[Assistant] 574200

[User]
3 numbers are such that the second is as much lesser than thr third as the first is lesser than the second. if the product of the two smaller numbers is 85 and product of two larger number is 115 then find the middle number
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[Assistant] 10

[User]
after decreasing 20 % in the price of an article costs rs. 200. find the actual cost of an article?
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[Assistant] 250

[User]
the sale price sarees listed for rs. 480 after successive discount is 15 % and 25 % is?
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[Assistant] 306

[User]
the sum of all solutions for x in the equation x ^ 2 – 8 x + 21 = | x – 4 | + 7 is equal to :
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[Assistant] 16


[User]
p, q and r together earn rs. 1620 in 9 days. p and r can earn rs. 600 in 5 days. q and r in 7 days can earn rs. 910. how much amount does r can earn per day?
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[Assistant] rs. 70

[User]
a certain university will select 1 of 9 candidates eligible to fill a position in the mathematics department and 2 of 15 candidates eligible to fill 2 identical positions in the computer science department. if none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?
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[Assistant] 945

[User]
two motor cycles a & b are started from one point at 4 kmph & 6 kmph ; after 45 min b starts returning, at what time they will meet?
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[Assistant] 54 mins

[User]
if 20 % of a number = 1000, then 120 % of that number will be?
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[Assistant] 6000

[User]
the average of marks obtained by 120 candidates was 35. if the avg of marks of passed candidates was 39 & that of failed candidates was 39 and that of failed candidates was 15, the no. of candidates who passed the examination is?
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[Assistant] 100


[User]
a certain sum of money is divided among a, b and c so that for each rs. a has, b has 65 paisa and c 40 paisa. if c's share is rs. 32, find the sum of money?
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[Assistant] 164

[User]
an article is bought for rs. 675 and sold for rs. 945, find the gain percent?
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[Assistant] 40 %

[User]
on the first of the year, james invested x dollars at proudstar bank in an account that yields 1.5 % in interest every quarter year. at the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. if james had invested the same amount in an account which pays interest on a yearly basis, what must the interest rate be for james to have y dollars at the end of the year?
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[Assistant] 6.12 %

[User]
a 1, a 5, a 13 ( terms of ap ) are in gp and a 6 + a 15 = 63. find a 23
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[Assistant] 182 / 3

[User]
if 3 / p = 4 & 3 / q = 18 then p - q =?
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[Assistant] 7 / 12


[User]
a number when divided by 899 gives a remainder 63. if the same number is divided by 29, the remainder will be
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[Assistant] data inadequate

[User]
the length of a rectangular plot is thrice its breadth. if the area of the rectangular plot is 2700 sq m, then what is the breadth of the rectangular plot?
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[Assistant] 30

[User]
two trains a and b start simultaneously in the opposite direction from two points p and q and arrive at their destinations 16 and 9 hours respectively after their meeting each other. at what speed does the second train b travel if the first train travels at 120 km / h
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[Assistant] 160

[User]
a man, a woman and a boy can together complete a piece of work in 3 days. if a man alone can do it in 6 days and a boy alone in 12 days, how long will a woman take to complete the work?
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[Assistant] 12 days

[User]
carmen made a sculpture from small pieces of wood. the sculpture is 2 feet 6 inches tall. carmen places her sculpture on a base that is 12 inches tall. how tall are the sculpture andbase together?
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[Assistant] 3.83 feet


[User]
the cost of 3 pens and 5 pencils is rs. 340. also the cost of one pen and one pencil is in the ratio of 4 : 1 respectively. what is the cost of one dozen pens?
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[Assistant] rs. 960

[User]
the length of a room is 5.5 m and width is 3.75 m. what is the cost of paying the floor by slabs at the rate of $ 400 per sq. metre.
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[Assistant] $ 8250

[User]
the temperature of a certain cup of coffee 10 minutes after it was poured was 120 degrees fahrenheit. if the temperature f of the coffee t minutes after it was poured can be determined by the formula f = 120 ( 2 ^ - at ) + 60, where f is in degrees fahrenheit and a is a constant. then the temperature of the coffee 80 minutes after it was poured was how many degrees fahrenheit?
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[Assistant] 60.4

[User]
the average of 11 results is 20. the average of first 5 of them is 15 and that of last 5 is 22. find the 6 th result?
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[Assistant] 35

[User]
1 / 3 + 1 / 2 - 5 / 6 + 1 / 5 + 1 / 4 - 9 / 20 - 5 / 6 =
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[Assistant] 5 / 6


[User]
the product of three consecutive numbers is 210. then the sum of the smallest two numbers is?
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[Assistant] 11

[User]
frank the fencemaker needs to fence in a rectangular yard. he fences in the entire yard, except for one full side of the yard, which equals 40 feet. the yard has an area of 240 square feet. how many feet offence does frank use?
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[Assistant] 52

[User]
the total of 334 of 20 paise and 25 paise make a sum of rs. 71. the no of 20 paise coins is
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[Assistant] 250

[User]
the function f ( n ) is defined as the product of all the consecutive positive integers between 1 and n ^ 2, inclusive, whereas the function g ( n ) is defined as the product of the squares of all the consecutive positive integers between 1 and n, inclusive. the exponent on 3 in the prime factorization of f ( 3 ) / g ( 3 ) is
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[Assistant] 1

[User]
what will be the compound interest on rs. 45000 after 3 years at the rate of 12 % per annum
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[Assistant] rs 18221.76


[User]
the guests at a football banquet consumed a total of 337 pounds of food. if no individual guest consumed more than 2 pounds of food, what is the minimum number of guests that could have attended the banquet?
Answer the question using a single word or phrase.

[Assistant] 169

[User]
a plant manager must assign 10 new workers to one of five shifts. she needs a first, second, and third shift, and two alternate shifts. each of the shifts will receive 2 new workers. how many different ways can she assign the new workers?
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[Assistant] 2700

[User]
there are 5 red shoes & 4 green shoes. if two of red shoes are drawn what is the probability of getting red shoes
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[Assistant] 5 / 18

[User]
to fill a tank, 200 buckets of water is required. how many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to 4 - fifths of its present?
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[Assistant] 250

[User]
what is the probability of getting a sum 9 from two throw of a dice?
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[Assistant] 1 / 9


[User]
john was 31 years old when he married betty. they just celebrated their fifth wedding anniversary, and betty's age is now 7 / 9 of john's. how old is betty?
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[Assistant] 28

[User]
if the volume of two cubes are in the ratio 27 : 1, the ratio of their edges is :
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[Assistant] 3 : 1

[User]
a man can row 4 kmph is still water. if the river is running at 2 kmph it takes 90 min to row to a place and back. how far is the place
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[Assistant] 2.25 km

[User]
what is the least number should be added to 929, so the sum of the number is completely divisible by 30?
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[Assistant] 1

[User]
the sale price sarees listed for rs. 495 after successive discount is 15 % and 10 % is?
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[Assistant] 378


[User]
how many numbers from 29 to 119 are exactly divisible by 11?
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[Assistant] 8

[User]
the points a ( 0, 0 ), b ( 0, 4 a - 2 ) and c ( 2 a + 1, 2 a + 6 ) form a triangle. if angle abc = 90, what is the area of triangle abc?
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[Assistant] 63

[User]
a fellow borrowed a certain sum of money at 8 % per annum at simple interest and in 8 years the interest amounted to rs. 900 less than the sum lent. what was the sum lent?
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[Assistant] 2500

[User]
aarti can do a piece of work in 3 days. in how many days will she complete 10 time of work of same type?
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[Assistant] 30 days

[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 29 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] 600 km


[User]
when sold at a 40 % discount, a sweater nets the merchant a 30 % 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] 53.85 %

[User]
what is the greatest positive integer x such that 3 ^ x is a factor of 9 ^ 10?
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[Assistant] 20

[User]
the simple interest and the true discount on a certain sum for a given time and at a given rate are rs. 85 and rs. 78 respectively. the sum is :
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[Assistant] 947

[User]
a cycle is bought for rs. 675 and sold for rs. 1080, find the gain percent?
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[Assistant] 60

[User]
two workers a and b are engaged to do a work. a working alone takes 8 hours more to complete the job than if both worked together. if b worked alone, he would need 4 1 / 2 hours more to complete the job than they both working together. what time would they take to do the work together?
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[Assistant] 6 hours


[User]
a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered. if the area of the field is 80 sq. feet, how many feet of fencing will be required?
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[Assistant] 28

[User]
a can do a work in 6 days. b can do in 12 days. if both a & b are working together in how many days they can finish the work?
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[Assistant] 4

[User]
if 2 and 3 are positive integers, then 2 * 3 + 2 is
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[Assistant] 8

[User]
a 240 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] 260 m

[User]
kavi had a stock of 600 bags in his bookshop. he sold 25 on monday, 70 on tuesday, 100 on wednesday, 110 on thursday and 145 on friday. what percentage of the bags were not sold?
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[Assistant] 25 %


[User]
a man rows his boat 85 km downstream and 45 km upstream, taking 2 1 / 2 hours each time. find the speed of the stream?
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[Assistant] 8

[User]
if f ( x ) = 1 / x and x is a natural number, what can not be the answer for f ( f ( x ) )?
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[Assistant] 1 / 7

[User]
the product of the squares of two positive integers is 900. how many pairs of positive integers satisfy this condition?
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[Assistant] 4

[User]
what is the least value of x. so that 23 x 57 is divisible by 3.
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[Assistant] 1

[User]
six women can do a work in 10 days. ten men can complete the same work in 4 days. what is the ratio between the capacity of a man and a woman?
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[Assistant] 3 : 2


[User]
if 28 less than 5 times a certain number is 232. what is the number?
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[Assistant] 52

[User]
a rope of which a calf is tied is increased from 10 m to 23 m, how much additional grassy ground shall it graze?
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[Assistant] 1348.2

[User]
a boat having a length 3 m and breadth 2 m is floating on a lake. the boat sinks by 1 cm when a man gets into it. the mass of the man is :
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[Assistant] 60 kg

[User]
tanks a and b are each in the shape of a right circular cylinder. the interior of tank a has a height of 10 meters and a circumference of 6 meters, and the interior of tank b has a height of 6 meters and a circumference of 10 meters. the capacity of tank a is what percent of the capacity of tank b?
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[Assistant] 60 %

[User]
the tax on a commodity is diminished by 30 % but its consumption is increased by 10 %. find the decrease percent in the revenue derived from it?
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[Assistant] 23 %


[User]
a jogger running at 9 kmph along side a railway track is 270 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction. in how much time will the train pass the jogger?
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[Assistant] 39 sec

[User]
some consecutive natural numbers, starting with 1, are written on the board. now, one of the numbers was erased and the average of the remaining numbers is 800 / 39. find the number which was erased.
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[Assistant] 20

[User]
find the area of the quadrilateral of one of its diagonals is 10 cm and its off sets 7 cm and 3 cm?
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[Assistant] 50 cm 2

[User]
carol and jordan draw rectangles of equal area. if carol's rectangle measures 15 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] 45

[User]
what is the smallest number which when increased by 3 is divisible by 18, 70, 25 and 21?
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[Assistant] 3147


[User]
if i walk at 8 km / h, i miss the bus by 14 minutes. if i walk at 9 km / h, i reach 16 minutes before the arrival of the bus. how far i walk to reach the bus stand?
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[Assistant] 2.4 km

[User]
a certain sum becomes 4 times itself at simple interest in 8 years. in how many years does it become 10 times itself?
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[Assistant] 24

[User]
product of two natural numbers is 5. then, the sum of reciprocals of their squares is
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[Assistant] 26 / 25

[User]
certain stocks in january were 20 % less than they were in february and 30 % greater than they were in march. what was the percentage decrease in the stocks from february to march?
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[Assistant] 31 %

[User]
if a ( a + 2 ) = 35 and b ( b + 2 ) = 35, where a ≠ b, then a + b =
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[Assistant] - 2


[User]
if 5 machines can produce 20 units in 10 hours, how long would it take 10 to produce 80 units?
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[Assistant] 20

[User]
jar a has 26 % more marbles than jar b. what percent of marbles from jar a need to be moved into jar b so that both jars have equal marbles?
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[Assistant] 10.3 %

[User]
the average weight of 5 students decreases by 4 kg when one of them weighing 92 kg is replaced by a new student. the weight of the student is
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[Assistant] 72 kg

[User]
of the final grades received by the students in a certain math course, 1 / 5 are a's, 1 / 4 are b's, 1 / 2 are c's, and the remaining 25 grades are d's. what is the number of students in the course?
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[Assistant] 500

[User]
a 10 - meter long wire is cut into two pieces. if the longer piece is then used to form a perimeter of a square, what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point?
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[Assistant] 2 / 5


[User]
a train 500 m long, running with a speed of 180 km / hr will pass a tree in?
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[Assistant] 10 sec

[User]
33 1 / 3 % of 330?
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[Assistant] 110

[User]
the malibu country club needs to drain its pool for refinishing. the hose they use to drain it can remove 60 cubic feet of water per minute. if the pool is 40 feet wide by 150 feet long by 10 feet deep and is currently at 80 % capacity, how long will it take to drain the pool?
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[Assistant] 800

[User]
you collect pens. suppose you start out with 7. mike gives you another 22 pens. since her father makes pens, cindy decides to double your pens. since you're nice, you give sharon 19 pens. how many pens do you have at the end?
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[Assistant] 39

[User]
the difference between simple and compound interest on rs. 1300 for one year at 10 % per annum reckoned half - yearly is?
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[Assistant] 3.25


[User]
the digital sum of a number is the sum of its digits. for how many of the positive integers 24 - 90 inclusive is the digital sum a multiple of 7?
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[Assistant] 10

[User]
ravi and kavi start a business by investing â ‚ ¹ 3000 and â ‚ ¹ 72000, respectively. find the ratio of their profits at the end of year.
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[Assistant] 1 : 24

[User]
in august, a cricket team that played 120 matches won 30 % of the games it played. after a continuous winning streak, this team raised its average to 52 %. how many matches did the team win to attain this average?
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[Assistant] 55

[User]
jim ’ s taxi service charges an initial fee of $ 2.05 at the beginning of a trip and an additional charge of $ 0.35 for each 2 / 5 of a mile traveled. what is the total charge for a trip of 3.6 miles?
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[Assistant] $ 5.20

[User]
if a = 105 and a ^ 3 = 21 × 25 × 45 × w, what is the value of w?
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[Assistant] 49


[User]
a certain car traveled twice as many miles from town a to town b as it did from town b to town c. from town a to town b, the car averaged 40 miles per gallon, and from town b to town c, the car averaged 50 miles per gallon. what is the average miles per gallon that the car achieved on its trip from town a through town b to town c?
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[Assistant] 42.85

[User]
a fill pipe can fill 2 / 5 of cistern in 30 minutes in how many minutes, it can fill 4 / 5 of the cistern?
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[Assistant] 60 min

[User]
a mixture contains alcohol and water in the ratio 4 : 3. if 10 litres of water is added to the mixture, the ratio becomes 4 : 5. find the quantity of alcohol in the given mixture
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[Assistant] 20 litres

[User]
a car averages 45 mph for the first 4 hours of a trip and averages 75 mph for each additional hour. the average speed for the entire trip was 65 mph. how many hours long is the trip?
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[Assistant] 12

[User]
the sum of the present age of henry and jill is 40. what is their present ages if 8 years ago henry was twice the age of jill?
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[Assistant] 16 and 24


[User]
the cricket team of 11 members is 25 yrs old & the wicket keeper is 3 yrs older. if the ages ofthese 2 are excluded, the average age of theremaining players is 1 year less than the average age of the whole team. what is the average age of the team?
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[Assistant] 22

[User]
the speed of a boat in still water is 24 km / hr and the rate of current is 3 km / hr. the distance travelled downstream in 15 minutes is
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[Assistant] 6.75 km

[User]
50 ^ 51 ^ 52 / 11
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[Assistant] 6

[User]
some of 50 % - intensity red paint is replaced with 25 % solution of red paint such that the new paint intensity is 45 %. what fraction of the original paint was replaced?
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[Assistant] 1 / 5

[User]
if a certain toy store's revenue in november was 3 / 5 of its revenue in december and its revenue in january was 1 / 3 of its revenue in november, then the store's revenue in december was how many times the average ( arithmetic mean ) of its revenues in november and january?
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[Assistant] 5 / 2


[User]
the cross - section of a cannel is a trapezium in shape. if the cannel is 10 m wide at the top and 6 m wide at the bottom and the area of cross - section is 640 sq m, the depth of cannel is?
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[Assistant] 80

[User]
the jogging track in a sports complex is 528 m in circumference. deepak and his wife start from the same point and walk in opposite directions at 4.5 km / hr and 3.75 km / hr respectively. they will meet for the first time in?
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[Assistant] 3.84 min

[User]
a certain elevator has a safe weight limit of 2,500 pounds. what is the greatest possible number of people who can safely ride on the elevator at one time with the average ( arithmetic mean ) weight of half the riders being 200 pounds and the average weight of the others being 230 pounds?
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[Assistant] 11

[User]
the ratio of two quantities is 7 to 12. if each of the quantities is divided by 3, what is the ratio of these 2 new quantities?
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[Assistant] 7 : 12

[User]
if 45 % of z is 72 % of y and y is 75 % of x, what percent of x is z?
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[Assistant] 120


[User]
a certain car can travel 40 minutes on a gallon of gasoline at 70 miles per hour. if the car had started with a full tank and had 8 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] 20 %

[User]
on the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. on the particular day 420 children were absent and as a result each child got two extra bananas. find the actual number of children in the school?
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[Assistant] 840

[User]
population of a city in 20004 was 1200000. if in 2005 there isan increment of 15 %, in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45 %, then find the population of city at the end of the year 2007
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[Assistant] 1300650

[User]
two trains 111 meters and 165 meters in length respectively are running in opposite directions, one at the rate of 80 km and the other at the rate of 65 kmph. in what time will they be completely clear of each other from the moment they meet?
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[Assistant] 6.85

[User]
working alone, mary can pave a driveway in 5 hours and hillary can pave the same driveway in 2 hours. when they work together, mary thrives on teamwork so her rate increases by 33.33 %, but hillary becomes distracted and her rate decreases by 50 %. if they both work together, how many hours will it take to pave the driveway?
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[Assistant] 2 hours


[User]
the two lines y = x and x = - 2 intersect on the coordinate plane. if z represents the area of the figure formed by the intersecting lines and the x - axis, what is the side length of a cube whose surface area is equal to 6 z?
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[Assistant] √ 2

[User]
sum of two numbers is 15. two times of the first exceeds by 5 from the three times of the other. then the numbers will be?
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[Assistant] 5

[User]
some of 50 % - intensity red paint is replaced with 20 % solution of red paint such that the new paint intensity is 30 %. what fraction of the original paint was replaced?
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[Assistant] 2 / 3

[User]
two women started running simultaneously around a circular track of length 1800 m from the same point at speeds of 10 km / hr and 20 km / hr. when will they meet for the first time any where on the track if they are moving in opposite directions?
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[Assistant] 72

[User]
the average runs scored by a batsman in 20 matches is 40. in the next 10 matches the batsman scored an average of 20 runs. find his average in all the 30 matches?
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[Assistant] 33.33


[User]
a goods train runs at the speed of 72 kmph and crosses a 240 m long platform in 26 seconds. what is the length of the goods train?
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[Assistant] 280 m

[User]
if 9 a - b = 10 b + 70 = - 12 b - 2 a, what is the value of 2 a + 22 b?
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[Assistant] - 70

[User]
how much time will a train of length 300 m moving at a speed of 72 kmph take to cross another train of length 500 m, moving at 36 kmph in the same direction?
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[Assistant] 80

[User]
a certain number when divided by 39 leaves a remainder 17, what is the remainder when the same number is divided by 13?
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[Assistant] 4

[User]
a tank contains 8,000 gallons of a solution that is 4 percent sodium chloride by volume. if 3,000 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?
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[Assistant] 6.40 %


[User]
x, y and z, each working alone can complete a job in 2, 4 and 6 days respectively. if all three of them work together to complete a job and earn $ 2000, what will be z's share of the earnings?
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[Assistant] $ 1090.90

[User]
the least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is :
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[Assistant] 548

[User]
nicky and cristina are running a race. since cristina is faster than nicky, she gives him a 30 meter head start. if cristina runs at a pace of 5 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] 15 seconds

[User]
how many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6.6 m x 22.5 cm?
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[Assistant] 7040

[User]
the total number of students in grades 1 and 2 is 30 more than the total number of students in grades 2 and 5. how much lesser is the number of students in grade 5 as compared to grade 1?
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[Assistant] 30


[User]
a football player scores 5 goals in his fifth match thus increasing his average goals score by 0.2. the total number of goals in his 5 matches would be
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[Assistant] 21

[User]
a jar full of whisky contains 40 % alcohol. a part of this whisky is replaced by another containg 19 % alcohol and now the percentage of alcohol was found to be 22 %. what quantity of whisky is replaced?
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[Assistant] 3 / 5

[User]
a jeep takes 4 hours to cover a distance of 620 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] 103 kmph

[User]
the mean of 50 observations was 36. it was found later that an observation 60 was wrongly taken as 23. the corrected new mean is?
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[Assistant] 36.7

[User]
in a party every person shakes hands with every other person. if there were a total of 105 handshakes in the party then what is the number of persons present in the party?
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[Assistant] 15


[User]
at a certain organisation, the number of male members went up by 12 % in the year 2001 from year 2000, and the number of females members went down by 4 % in the same time period. if the total membership at the organisation went up by 1.2 % from the year 2000 to 2001, what was the ratio of male members to female members in the year 2000?
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[Assistant] 1 : 2

[User]
what least value should be replaced by * in 842 * 124 so the number become divisible by 9
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[Assistant] 6

[User]
there are 7 players in a bowling team with an average weight of 76 kg. if two new players join the team, one weighs 110 kg and the second weighs 60 kg, what will be the new average weight?
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[Assistant] 78 kg.

[User]
ratio between rahul and deepak is 4 : 3, after 2 years rahul age will be 26 years. what is deepak present age.
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[Assistant] 18

[User]
the sum of all consecutive odd integers from − 25 to 35, inclusive, is
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[Assistant] 155


[User]
a train crosses a platform of 130 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
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[Assistant] 230

[User]
one computer can upload 100 megabytes worth of data in 4 seconds. two computers, including this one, working together, can upload 1300 megabytes worth of data in 20 seconds. how long would it take for the second computer, working on its own, to upload 100 megabytes of data?
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[Assistant] 2.5

[User]
the “ length of integer x ” refers to the number of prime factors, not necessarily distinct, that x has. ( if x = 60, the length of x would be 4 because 60 = 2 × 2 × 3 × 5. ) what is the greatest possible length of integer z if z < 500?
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[Assistant] 8

[User]
after decreasing 50 % in the price of an article costs rs. 620. find the actual cost of an article?
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[Assistant] 1240

[User]
a cube has a volume of 27 cubic feet. if a similar cube is twice as long, twice as wide, and twice as high, then the volume, in cubic feet of such cube is?
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[Assistant] 216


[User]
if the compound interest on a certain sum of money for 7 years at 10 % per annum be rs. 993, what would be the simple interest?
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[Assistant] rs. 2100

[User]
for any integer p, * p is equal to the product of all the integers between 1 and p, inclusive. how many prime numbers are there between * 4 + 3 and * 4 + 4, inclusive?
Answer the question using a single word or phrase.

[User]
in the hillside summer camp there are 50 children. 85 % of the children are boys and the rest are girls. the camp administrator decided to make the number of girls only 5 % of the total number of children in the camp. how many more boys must she bring to make that happen?
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[Assistant] 50.

[User]
4, 5, 7, 11, 19, (... )
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[Assistant] 35

[User]
a set s = { x, - 8, - 5, - 2, 2, 6, 9, y } with elements arranged in increasing order. if the median and the mean of the set are the same, what is the value of | x | - | y |?
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[Assistant] 2


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

[User]
a sum fetched a total simple interest of $ 4016.25 at the rate of 9 p. c. p. a. in 5 years. what is the sum?
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[Assistant] $ 8925

[User]
a train running at 1 / 2 of its own speed reached a place in 8 hours. how much time could be saved if the train would have run at its own speed?
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[Assistant] 4 hrs

[User]
the ratio 6 : 5 expressed as a percent equals
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[Assistant] 120 %

[User]
find the area of a parallelogram with base 20 cm and height 16 cm?
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[Assistant] 320 cm 2


[User]
a part of certain sum of money is invested at 10 % per annum and the rest at 16 % per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?
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[Assistant] 8 : 5

[User]
the h. c. f of two numbers is 12 and their l. c. m is 6600. if one of the numbers is 288, then the other is?
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[Assistant] 275

[User]
the unit digit in the product ( 624 * 708 * 913 * 463 ) is :
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[Assistant] 8

[User]
in the faculty of reverse - engineering, 226 second year students study numeric methods, 450 second year students study automatic control of airborne vehicles and 134 second year students study them both. how many students are there in the faculty if the second year students are approximately 80 % of the total?
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[Assistant] 678.

[User]
the difference between a two - digit number and the number obtained by interchanging the digit is 36. what is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2?
Answer the question using a single word or phrase.

[Assistant] 8


[User]
a pharmaceutical company received $ 3 million in royalties on the first $ 20 million in sales of and then $ 9 million in royalties on the next $ 108 million in sales. by approximately what percentage did the ratio of royalties to sales decrease from the first $ 20 million in sales to the next $ 108 million in sales?
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[Assistant] 15 %

[User]
the difference of two numbers is 11 and one fifth of their sum is 9. the numbers are :
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[Assistant] 28, 17

[User]
an internet recently hired 8 new network, in addvertisement 20 network already employed. all new network cam from university a. in addition 75 % of computer addvertisement came from same university a. what fraction of original 20 network addvertisement came from same univerity a? pls help to solve
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[Assistant] 13 / 20

[User]
dividing by 3 ⁄ 9 and then multiplying by 5 ⁄ 6 is the same as dividing by what number?
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[Assistant] 5 / 2

[User]
if it takes a machine 1 ⁄ 3 minute to produce one item, how many items will it produce in 2 hours?
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[Assistant] 360


[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 s apples did each person get before 45 people joined the feast?
Answer the question using a single word or phrase.

[Assistant] 22.

[User]
a, band c enter into partnership. a invests 3 times as much as b and b invests two - third of what c invests. at the end of the year, the profit earned is rs. 7700. what is the share of b?
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[Assistant] 1400

[User]
if [ [ x ] ] = x ^ 2 + 2 x + 4, what is the value of [ [ 5 ] ]?
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[Assistant] 39

[User]
sobha's father was 38 years of age when she was born while her mother was 36 years old when her brother 4 years younger to her was born. what is the difference between the ages of her parents?
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[Assistant] 6

[User]
a train travels from albany to syracuse, a distance of 100 miles, at the average rate of 50 miles per hour. the train then travels back to albany from syracuse. the total travelling time of the train is 5 hours and 24 minutes. what was the average rate of speed of the train on the return trip to albany?
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[Assistant] 31.25


[User]
if the average ( arithmetic mean ) of ( 2 a + 16 ) and ( 3 a - 8 ) is 74, what is the value of a?
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[Assistant] 28

[User]
the ratio of the arithmetic mean of two numbers to one of the numbers is 5 : 7. what is the ratio of the smaller number to the larger number?
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[Assistant] 3 : 7

[User]
find number which is 60 % less than 120.
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[Assistant] 48

[User]
in an election only two candidates contested. a candidate secured 70 % of the valid votes and won by a majority of 182 votes. find the total number of valid votes?
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[Assistant] 455

[User]
find the number which is nearest to 457 and is exactly divisible by 11.
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[Assistant] 462


[User]
what is the remainder when 1201 × 1202 × 1205 × 1210 is divided by 6?
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[Assistant] 4

[User]
a cycle is bought for rs. 450 and sold for rs. 520, find the gain percent?
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[Assistant] 15.55

[User]
150 ml of 30 % sulphuric acid was added to approximate 400 ml of 12 % sulphuric acid solution. find the approximate concentration r of the acid in the mixture?
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[Assistant] 1 / 6

[User]
12.1212 + 17.0005 - 9.1103 =?
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[Assistant] 20.0114

[User]
a student chose a number, multiplied it by 2, then subtracted 138 from the result and got 104. what was the number he chose?
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[Assistant] 121


[User]
one side of a rectangle is 3 cm shorter than the other side. if we increase the length of each side by 1 cm, then the area of the rectangle will increase by 18 cm 2. find the lengths of all sides.
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[Assistant] 10 and 7

[User]
john want to buy a $ 100 trouser at the store, but he think it â € ™ s too expensive. finally, it goes on sale for $ 75. what is the percent decrease?
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[Assistant] 25 %

[User]
an investment compounds annually at an interest rate of 30 % what is the smallest investment period by which time the investment will more than double in value?
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[Assistant] 3

[User]
what is the remainder when ( 55 ) ( 57 ) is divided by 8?
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[Assistant] 7

[User]
in 1950, richard was 4 times as old as robert. in 1955, richard was 3 times as old as robert. in which year was richard 1.25 as old as robert?
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[Assistant] 2060


[User]
a dog is tied to a tree by a long nylon cord. if the dog runs from the due north side of the tree to the due south side of the tree with the cord extended to its full length at all items, and the dog ran approximately 30 feet, what was the approximate length of the nylon cord q, in feet?
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[Assistant] 10

[User]
a person crosses a 300 m long street in 4 minutes. what is his speed in km per hour?
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[Assistant] 4.5

[User]
jerry and michelle play a card game. in the beginning of the game they have an equal number of cards. each player, at her turn, gives the other a third of her cards. michelle plays first, giving jerry a third of her cards. jerry plays next, and michelle follows. then the game ends. jerry ended up with 28 more cards than michelle. how many cards did each player have originally?
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[Assistant] 54

[User]
if albert ’ s monthly earnings rise by 26 %, he would earn $ 693. if, instead, his earnings rise by only 20 %, how much ( in $ ) would he earn this month?
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[Assistant] 660

[User]
what is the normal price of an article sold at $ 36 after two successive discounts of 10 % and 20 %?
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[Assistant] $ 50


[User]
if | x + 3 | = 5, what is the sum of all the possible values of x?
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[Assistant] - 6

[User]
in a group of cows and hens, the number of legs are 14 more than twice the number of heads. the number of cows is :
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[Assistant] 7

[User]
a and b invests rs. 3000 and rs. 6000 respectively in a business. if a doubles his capital after 6 months. in what ratio should a and b divide that year's profit?
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[Assistant] 3 : 4

[User]
albert buys 4 horses and 9 cows for rs. 13,400. if he sells the horses at 10 % profit and the cows at 20 % profit, then he earns a total profit of rs. 1880. the cost of a horse is?
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[Assistant] 2000

[User]
when positive integer x is divided by positive integer y, the remainder is 8. if x / y = 76.4, what is the value of y?
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[Assistant] 20


[User]
a family pays $ 850 per year for an insurance plan that pays 80 percent of the first $ 1,000 in expenses and 100 percent of all medical expenses thereafter. in any given year, the total amount paid by the family will equal the amount paid by the plan when the family's medical expenses total.
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[Assistant] $ 1,250

[User]
in a group of 120 people, 90 have an age of more 30 years, and the others have an age of less than 20 years. if a person is selected at random from this group, what is the probability the person's age is less than 20?
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[Assistant] 30 / 120

[User]
the price of an item is discounted 10 percent on day 1 of a sale. on day 2, the item is discounted another 10 percent, and on day 3, it is discounted an additional 10 percent. the price of the item on day 3 is what percentage of the sale price on day 1?
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[Assistant] 81 %

[User]
given that 268 x 74 = 19432, find the value of 2.68 x. 74.
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[Assistant] 1.9432

[User]
solution x is 10 percent alcohol by volume, and solution y is 30 percent alcohol by volume. how many milliliters of solution y must be added to 300 milliliters of solution x to create a solution that is 22 percent alcohol by volume?
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[Assistant] 450


[User]
walking at 5 / 6 of its usual speed, a train is 10 minutes too late. find its usual time to cover the journey.
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[Assistant] 50 min

[User]
in the rectangle below, the line mn cuts the rectangle into two regions. find x the length of segment nb so that the area of the quadrilateral mnbc is 40 % of the total area of the rectangle.
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[Assistant] 1 meter

[User]
two trains of equal lengths take 15 sec and 20 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] 17 sec

[User]
3,7, 12,18, 25,33,.............. 7 th terms
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[Assistant] 42

[User]
the floor of a rectangular room is 20 m long and 12 m wide. the room is surrounded by a veranda of width 2 m on all its sides. the area of the veranda is :
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[Assistant] 144 m 2


[User]
in a simultaneous throw of pair of dice. find the probability of getting the total more than 7.
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[Assistant] 5 / 12

[User]
krishan and nandan jointly started a business. krishan invested 6 times as nandan did and invested his money for double time as compared to nandan. nandan earned rs. 6000. if the gain is proportional to the money invested and the time for which the money is invested then the total gain was?
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[Assistant] rs. 78000

[User]
consider the word rotor. whichever way you read it, from left to right or from right to left, you get the same word. such a word is known as palindrome. find the maximum possible number of 5 - letter palindromes
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[Assistant] 17576

[User]
a glass was filled with 25 ounces of water, and 0.04 ounce of the water evaporated each day during a 10 - day period. what percent of the original amount of water evaporated during this period?
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[Assistant] 1.6 %

[User]
if teena is driving at 55 miles per hour and is currently 7.5 miles behind joe, who is driving at 40 miles per hour in the same direction then in how many minutes will teena be 37.5 miles ahead of joe?
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[Assistant] 180