[User]
total 48 matches are conducted in knockout match type. how many players will be participated in that tournament?
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[Assistant] 47

[User]
in 130 m race, a covers the distance in 36 seconds and b in 45 seconds. in this race a beats b by :
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[Assistant] 26 m

[User]
at a certain university, 69 % of the professors are women, and 70 % of the professors are tenured. if 90 % of the professors are women, tenured, or both, then what percent of the men are tenured?
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[Assistant] 52.5

[User]
in a dairy farm, 26 cows eat 26 bags of husk in 26 days. in how many days one cow will eat one bag of husk?
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[Assistant] 26

[User]
the average age of a group of n people is 14 years old. one more person aged 34 joins the group and the new average is 16 years old. what is the value of n?
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[Assistant] 9


[User]
if x is an integer such that 0 < x < 7, 0 < x < 15, 5 > x > – 1, 3 > x > 0, and x + 2 < 4, then x is
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[Assistant] 1

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

[User]
1 + 1
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[Assistant] 2

[User]
rahul can do a work in 3 days while rajesh can do the same work in 2 days. both of them finish the work together and get $ 150. what is the share of rahul?
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[Assistant] $ 60

[User]
a boat m leaves shore a and at the same time boat b leaves shore b. they move across the river. they met at 500 yards away from a and after that they met 300 yards away from shore b without halting at shores. find the distance between the shore a & b
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[Assistant] 1200 yards


[User]
a pineapple costs rs 7 each and a watermelon costs rs. 5 each. if i spend rs 38 on total what is the number of pineapple i purchased?
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[Assistant] 2

[User]
the sub - duplicate ratio of 25 : 16 is
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[Assistant] 5 : 4

[User]
in δ pqs above, if pq = 7 and ps = 8, then
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[Assistant] 56 / 9

[User]
ajay can ride 50 km in 1 hour. in how many hours he can ride 1250 km?
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[Assistant] 25 hrs

[User]
a boat covers a certain distance downstream in 1 hour, while it comes back in 11 â  „ 2 hours. if the speed of the stream be 3 kmph, what is the speed of the boat in still water?
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[Assistant] 15 kmph


[User]
in a division, a student took 87 as divisor instead of 36. his answer was 24. the correct answer is -
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[Assistant] 58

[User]
what is the sum of all digits for the number 10 ^ 26 - 51?
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[Assistant] 229

[User]
what is the measure of the angle w made by the diagonals of the any adjacent sides of a cube.
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[Assistant] 60

[User]
what is the compound interest paid on a sum of rs. 6000 for the period of 2 years at 10 % per annum.
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[Assistant] 1260

[User]
a fair 2 sided coin is flipped 8 times. what is the probability that tails will be the result at least twice, but not more than 8 times?
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[Assistant] 143 / 128


[User]
the difference between c. i. and s. i. on an amount of rs. 15,000 for 2 years is rs. 54. what is the rate of interest per annum?
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[Assistant] 6

[User]
find the compound ratio of ( 1 : 2 ), ( 2 : 3 ) and ( 3 : 4 ) is
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[Assistant] 1 : 4

[User]
if 1 is added to the denominator of fraction, the fraction becomes 1 / 2. if 1 is added to the numerator, the fraction becomes 1. the fraction is
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[Assistant] 2 / 3

[User]
if the ratio of two number is 2 : 3 and lcm of the number is 120 then what is the number.
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[Assistant] 20

[User]
find out the c. i on rs. 4000 at 4 % p. a. compound half - yearly for 1 1 / 2 years
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[Assistant] 244.83


[User]
bert and rebecca were looking at the price of a condominium. the price of the condominium was 40 % more than bert had in savings, and separately, the same price was also 75 % more than rebecca had in savings. what is the ratio of what bert has in savings to what rebecca has in savings.
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[Assistant] 5 : 4

[User]
walking at 5 / 6 of her normal speed, a worker is 12 minutes later than usual in reaching her office. the usual time ( in minutes ) taken by her to cover the distance between her home and her office is
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[Assistant] 60

[User]
if 12 lions can kill 12 deers in 12 minutes how long will it take 100 lions to kill 100 deers?
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[Assistant] 12 minute

[User]
a man cycling along the road noticed that every 18 minutes a bus overtakes him and every 6 minutes he meets an oncoming bus. if all buses and the cyclist move at a constant speed, what is the time interval between consecutive buses?
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[Assistant] 9 minutes

[User]
x starts a business with rs. 45000. y joins in the business after 3 months with rs. 27000. what will be the ratio in which they should share the profit at the end of the year?
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[Assistant] 20 : 9


[User]
the hiker walking at a constant rate of 4 miles per hour is passed by a cyclist traveling in the same direction along the same path at 15 miles per hour. the cyclist stops to wait for the hiker 5 minutes after passing her, while the hiker continues to walk at her constant rate, how many minutes must the cyclist wait until the hiker catches up?
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[Assistant] 55 / 4

[User]
if x + y = 10, x - y = 18, for integers of x and y, x =?
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[Assistant] 14

[User]
wink, inc. follows a certain procedure that requires two tasks to be finished independently in order for a job to be done. on any given day, there is a 2 / 3 probability that task 1 will be completed on time, and a 3 / 5 probability that task 2 will be completed on time. on a certain day, what is the probability that task 1 will be completed on time, but task 2 will not?
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[Assistant] 4 / 15

[User]
find the least number must be subtracted from 964807 so that remaining no. is divisible by 8?
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[Assistant] 7

[User]
if 8 people take an hour to complete a piece of work, then how long should 16 people will take to complete the same piece of work?
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[Assistant] 30 min


[User]
find the area of a parallelogram with base 25 cm and height 15 cm?
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[Assistant] 375 cm 2

[User]
when x is even, [ x ] = x / 2 + 1, when x is odd [ x ] = 2 x + 1 then [ 6 ] * [ 4 ] =?
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[Assistant] [ 12 ]

[User]
in a certain company, a third of the workers do not have a retirement plan. 60 % 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] 180

[User]
a bus started its journey from mumbai and reached pune in 65 min with its average speed of 60 km / hr. if the average speed of the bus is increased by 5 km / hr, how much time will it take to cover the same distance?
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[Assistant] 1 hrs

[User]
the mean of 50 observations is 200. but later he found that there is decrements of 47 from each observations. what is the the updated mean is?
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[Assistant] 153


[User]
a bag contains 4 red, 6 blue and 3 green balls. if 3 balls are picked at random, what is the probability that both are blue?
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[Assistant] 10 / 143

[User]
what is 120 % of 13 / 24 of 360?
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[Assistant] 234

[User]
if a farmer sells 10 of his chickens, his stock of feed will last for 4 more days than planned, but if he buys 15 more chickens, he will run out of feed 3 days earlier than planned. if no chickens are sold or bought, the farmer will be exactly on schedule. how many chickens does the farmer have?
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[Assistant] 35

[User]
how many 1 / 2 s are there in 37 1 / 2?
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[Assistant] 75

[User]
a, b, c rent a pasture. if a puts 10 oxen for 7 months, b puts 12 oxen for 5 months and c puts 15 oxen for 3 months for grazing and the rent of the pasture is rs. 175, then how much amount should c pay as his share of rent?
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[Assistant] 45


[User]
in a box of 12 pens, a total of 6 are defective. if a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective?
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[Assistant] 5 / 22

[User]
a part of certain sum of money is invested at 6 % per annum and the rest at 15 % 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] 5 : 2

[User]
if a randomly selected non - negative single digit integer is added to { 2, 3, 5, 8 }. what is the probability that the median of the set will increase but the range still remains the same?
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[Assistant] 0.4

[User]
on a sum of money, the s. i. for 2 years is $ 600, while the c. i. is $ 630, the rate of interest being the same in both the cases. the rate of interest is?
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[Assistant] 10 %

[User]
there are two circles of different radii. the are of a square is 784 sq cm and its side is twice the radius of the larger circle. the radius of the larger circle is seven - third that of the smaller circle. find the circumference of the smaller circle.
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[Assistant] 12 ∏ cm


[User]
y and z walk around a circular track. they start at 5 a. m from the same point in the opposite directions. y and z walk at a speed of 3 rounds per hour and 4 rounds per hour respectively. how many times shall they cross each other before 7 a. m
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[Assistant] 18

[User]
a box contains 10 black, 5 red and 4 green marbles. 3 marbles are drawn from the box at random. what is the probability that all the three marbles are of the same color?
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[Assistant] 134 / 969

[User]
a towel, when bleached, lost 20 % of its length and 10 % of its breadth. what is the percentage decrease in area?
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[Assistant] 28

[User]
two numbers are respectively 35 % and 50 % more than a third number. the percentage that is first of the second is?
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[Assistant] 90 %

[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. 272 less than the sum lent. what was the sum lent?
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[Assistant] 400


[User]
a marketing firm determined that, of 200 households surveyed, 80 used neither brand r nor brand b soap, 60 used only brand r soap, and for every household that used both brands of soap, 3 used only brand b soap. how many of the 200 households surveyed used both brands of soap?
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[Assistant] 40

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

[User]
if x and y are numbers such that ( x + 4 ) ( y - 4 ) = 0, what is the smallest possible value of x ^ 2 + y ^ 2
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[Assistant] 16

[User]
in the set of positive integers from 1 to 90, what is the sum of all the odd multiples of 5?
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[Assistant] 405

[User]
1000 men have provisions for 18 days. if 400 more men join them, for how many days will the provisions last now?
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[Assistant] 12.8


[User]
if f ( f ( n ) ) + f ( n ) = 2 n + 3, f ( 0 ) = 1 then f ( 2014 ) =?
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[Assistant] 2015

[User]
a, b and c can do a piece of work in 30 days, 30 days and 40 days respectively. they began the work together but c left 4 days before the completion of the work. in how many days was the work completed?
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[Assistant] 12 days

[User]
a man buys an article for $ 100. and sells it for $ 110. find the gain percent?
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[Assistant] 10 %

[User]
a sum of money at simple interest amounts to rs. 815 in 3 years and to rs. 854 in 4 years. the sum is :
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[Assistant] rs. 698

[User]
if the average ( arithmetic mean ) of x + 1, x + 5, and x + 9 is 0, then x =
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[Assistant] – 5


[User]
country c imposes a two - tiered tax on imported cars : the first tier imposes a tax of 14 % of the car's price up to a certain price level. if the car's price is higher than the first tier's level, the tax on the portion of the price that exceeds this value is 8 %. if ron imported a $ 14,000 imported car and ended up paying $ 1440 in taxes, what is the first tier's price level?
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[Assistant] $ 5333

[User]
what should be added to 4750 so that it may become a perfect square?
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[Assistant] 11

[User]
john makes $ 60 a week from his job. he earns a raise andnow makes $ 72 a week. what is the % increase?
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[Assistant] 20 %

[User]
50 + 5 * 12 / ( 180 / 3 ) =?
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[Assistant] 51

[User]
find number which is 50 % less than 60.
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[Assistant] 30


[User]
mark bought a set of 6 flower pots of different sizes at a total cost of $ 7.80. each pot cost 0.25 more than the next one below it in size. what was the cost, in dollars, of the largest pot?
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[Assistant] $ 1.93

[User]
a certain basketball team that has played 2 / 3 of its games has a record of 18 wins and 2 losses. what is the greatest number of the remaining games that the team can lose and still win at least 3 / 4 of all of its games?
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[Assistant] 5

[User]
a circular well with a diameter of 2 metres, is dug to a depth of 10 metres. what is the volume of the earth dug out?
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[Assistant] 31.4 m 3

[User]
a sum fetched a total simple interest of $ 4241.25 at the rate of 9 p. c. p. a. in 5 years. what is the sum?
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[Assistant] $ 8930

[User]
the unit digit in the product ( 635 * 767 * 984 * 489 ) is :
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[Assistant] 0


[User]
in a survey of political preferences, 78 % of those asked were in favour of at least one of the proposals : i, ii and iii. 50 % of those asked favoured proposal i, 30 % favoured proposal ii, and 20 % favoured proposal iii. if 5 % of those asked favoured all 3 of the proposals, what x percentage of those asked favoured more than one of the 3 proposals.
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[Assistant] 17

[User]
a certain bag contains 60 balls — 22 white, 18 green, 2 yellow, 15 red, and 3 purple. if a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple?
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[Assistant] 0.7

[User]
if the personal income tax rate is lowered from 38 % to 30 %, what is the differential savings for a tax payer having an annual income before tax to the tune of $ 36500?
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[Assistant] $ 1825

[User]
elvin's monthly telephone bill is the sum of the charge for the calls he made during the month and a fixed monthly charge for internet service. elvin's total telephone bill for january was $ 48 and elvin's total telephone bill for february was 90 $. if elvin's charge for the calls he made in february was twice the charge for the calls he made in january, what is elvin's fixed monthly charge for internet service?
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[Assistant] $ 6

[User]
in the recent, climate conference in new york, out of 500 men, 300 women, 500 children present inside the building premises, 10 % of the men, 60 % of the women and 70 % of the children were indians. find the percentage of people who were not indian?
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[Assistant] 55.39 %


[User]
two numbers are in the ratio of 5 : 8. if 30 be subtracted from each, they are in the ratio of 5 : 9. find the numbers?
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[Assistant] 120,192

[User]
find k if 56 / k = 4.
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[Assistant] 14

[User]
a car traveled from san diego to san francisco at an average speed of 45 miles per hour. if the journey back took twice as long, what was the average speed of the trip?
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[Assistant] 30.

[User]
a 400 meter long train crosses a man standing on the platform in 10 sec. what is the speed of the train?
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[Assistant] 144

[User]
a man took a loan from a bank at the rate of 9 % p. a. simple interest. after 3 years he had to pay rs. 5400 interest only for the period. the principal amount borrowed by him was :
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[Assistant] rs. 20,000


[User]
what is the value of ( 44444445 * 88888885 * 44444442 + 44444438 / 44444444 ^ 2 )
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[Assistant] 88888883

[User]
jack spent 1 / 6 of his lifetime in adolescence. his facial hair started growing after 1 / 12 more of his life. he successfully married his girlfriend diana after 1 / 7 more of his life. their son was born after 5 years from then. the son lived just 1 / 2 of what jack lived. jack dies 4 years after his son died. how long did jack live?
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[Assistant] 84

[User]
if 7 a - 3 b = 10 b + 40 = - 12 b - 2 a, what is the value of 9 a + 9 b?
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[Assistant] 0

[User]
the price of a book is increased from $ 300 to $ 420. what is the % of increase in its price?
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[Assistant] 40 %

[User]
a train 210 m long is running at a speed of 45 km / hr. in what time will it pass a bridge 140 m long?
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[Assistant] 28 sec


[User]
the total price of a basic computer and printer are $ 2,500. if the same printer had been purchased with an enhanced computer whose price was $ 500 more than the price of the basic computer, then the price of the printer would have been 1 / 8 of that total. what was the price of the basic computer?
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[Assistant] 2125

[User]
39! is divided by 41 then what is the remainder?
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[Assistant] 1

[User]
if x is equal to the sum of the integers from 10 to 30, inclusive, and y is the number of even integers from 10 to 30, inclusive, what is the value of x + y?
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[Assistant] 431

[User]
if 42.36 = k ( 14 + m / 50 ), where k and m are positive integers and m < 50, then what is the value of k + m?
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[Assistant] 9

[User]
if x and y are sets of integers, x # y denotes the set of integers that belong to set x or set y, but not both. if x consists of 14 integers, y consists of 18 integers, and 6 of the integers are in both x and y, then x # y consists of how many integers?
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[Assistant] 20


[User]
how many seconds will a 700 meter long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr?
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[Assistant] 600

[User]
a bakery has 6 employees. it pays annual salaries of $ 16,000 to each of 2 employees, $ 18,000 to 1 employee, and $ 19,000 to each of the remaining 3 employees. which number is closest to the average ( arithmetic mean ) annual salary of these employees?
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[Assistant] $ 17,800

[User]
find large no. from below question the difference of two numbers is 1365. on dividing the larger number by the smaller, we get 6 as quotient and the 35 as remainder
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[Assistant] 1631

[User]
how many odd numbers between 10 and 1400 are the squares of integers?
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[Assistant] 17

[User]
n is a whole number which when divided by 4 gives 3 as remainder. what will be the remainder when 2 * n is divided by 4?
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[Assistant] 2


[User]
a person want to give his money of $ 2700 to his 3 children a, b, c in the ratio 2 : 3 : 4. what is the b's share?
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[Assistant] $ 900

[User]
the h. c. f. of two numbers is 23 and the other two factors of their l. c. m. are 13 and 18. the larger of the two numbers is :
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[Assistant] 414

[User]
if 6 ^ k = 4, then 6 ^ ( 2 k + 3 ) =
Answer the question using a single word or phrase.

[Assistant] 3456

[User]
a can finish a work in 18 days and b can do the same work in half the time taken by a. then, working together, what part of the same work they can finish in a day?
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[Assistant] 1 / 6

[User]
an empty fuel tank with a capacity of 212 gallons was filled partially with fuel a and then to capacity with fuel b. fuel a contains 12 % ethanol by volume and fuel b contains 16 % ethanol by volume. if the full fuel tank contains 30 gallons of ethanol, how many gallons of fuel a were added?
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[Assistant] 98


[User]
the weight of a hollow sphere is directly dependent on its surface area. the surface area of a sphere is 4 π · r ^ 2, where r is the radius of the sphere. if a hollow sphere of radius 0.15 cm made of a certain metal weighs 8 grams, a hollow sphere of radius 0.3 cm made of the same metal would weigh how many grams r?
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[Assistant] r = 32

[User]
10 women can complete a work in 7 days and 10 children take 14 days to complete the work. how many days will 2 women and 10 children take to complete the work?
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[Assistant] 10

[User]
a train travels at the rate of 10 miles / hr for the first hour of a trip, at 20 miles / hr for the second hour, at 30 miles / hr for the third hour and so on. how many hours will it take the train to complete a 660 - mile journey? assume that the train makes no intermediate stops.
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[Assistant] 11

[User]
how many integers are divisible by 2 between 10! and 10! + 20 inclusive?
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[Assistant] 21

[User]
ramesh purchased a refrigerator for rs. 14500 after getting a discount of 20 % on the labelled price. he spent rs. 125 on transport and rs. 250 on installation. at what price should it be sold so that the profit earned would be 10 % if no discount was offered?
Answer the question using a single word or phrase.

[Assistant] 20350


[User]
if equation | x / 2 | + | y / 2 | = 4 encloses a certain region on the coordinate plane, what is the area of this region?
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[Assistant] 108

[User]
let f ( x ) = x ^ 2 + bx + c. if f ( 6 ) = 0 and f ( - 1 ) = 0, then b + c =
Answer the question using a single word or phrase.

[Assistant] - 11

[User]
approximately how many revolutions will be made by a car tire with a 13 - inch diameter if the car travels 1 ⁄ 2 mile?
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[Assistant] 772

[User]
if x / y = 2 / 5, then ( x + y ) / ( x - y ) =?
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[Assistant] - 7 / 3

[User]
if the radius of a circle is increased by 60 % then the area is increased by :
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[Assistant] 156 %


[User]
a company that ships boxes to a total of 12 distribution centers uses color coding to identify each center. if either a single color or a pair of two different colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors, what is the minimum number of colors needed for the coding? ( assume that the order of the colors in a pair does not matter )
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[Assistant] 5

[User]
10 binders can bind 1400 books in 21 days. how many binders will be required to bind 1800 books in 20 days?
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[Assistant] 12

[User]
an industrial loom weaves 0.128 metres of cloth every second. approximately, how many seconds will it take for the loom to weave 27 metre of cloth?
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[Assistant] 211 seconds

[User]
a man cheats while buying as well as while selling. while buying he takes 10 % more than what he pays for and while selling he gives 20 % less than what he claims to. find the profit percent, if he sells at 11 % below the cost price of the claimed weight.
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[Assistant] 22.38 %

[User]
the diameter of the driving wheel of a bus in 140 cm. how many revolutions per minute must the wheel make in order to keep a speed of 11 kmph?
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[Assistant] 41.67


[User]
1 * 2 + 2 * 2 ^ 2 + 3 * 2 ^ 3 + 4 * 2 ^ 4 … … … … … … … … + 2012 * 2 ^ 2012
Answer the question using a single word or phrase.

[Assistant] 8100312

[User]
stock / number of shares v - - - - - - - - - - - - 68 w - - - - - - - - - - 112 x - - - - - - - - - - - - 56 y - - - - - - - - - - - - 94 z - - - - - - - - - - - - 45 the table shows the number of shares of each of the 5 stocks owned by mr sami. if mr. sami was to sell 20 shares of stock x and buy 23 shares of stock y, what would be the increase in the range of the numbers of shares of the 5 stocks owned by mr. sami?
Answer the question using a single word or phrase.

[Assistant] 14

[User]
if the cost price of 20 articles is equal to the selling price of 25 articles, what is the % profit or loss made by the merchant?
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[Assistant] 20 % loss

[User]
the mean of 50 observations was 32. it was found later that an observation 48 was wrongly taken as 23. the corrected new mean is
Answer the question using a single word or phrase.

[Assistant] 32.5

[User]
0.009 / x = 0.05. find the value of x
Answer the question using a single word or phrase.

[Assistant] 0.18


[User]
by selling an article at rs. 700, a shopkeeper makes a profit of 25 %. at what price should he sell the article so as to make a loss of 25 %?
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[Assistant] s. 420

[User]
in a office work is distribute between p persons. if 1 / 6 members are absent then work increased for each person is?
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[Assistant] 20 %

[User]
a cistern which could be filled in 9 hours takes 1 hour more to be filled owing to a leak in its bottom. if the cistern is full, in what time will the leak empty it?
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[Assistant] 90 hours

[User]
the total marks obtained by a student in mathematics and physics is 60 and his score in chemistry is 10 marks more than that in physics. find the average marks scored in mathamatics and chemistry together.
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[Assistant] 35

[User]
mrs. evans gave a test to her freshmen economics class, which has 50 students enrolled and 25 of them answered question 1 correctly. if 20 answered question 2 correctly and 20 did not take the test then how many answered both questions correctly?
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[Assistant] 20


[User]
carl can wash all the windows of his house in 8 hours. his wife maggie can wash all the windows in 4 hours. how many hours will it take for both of them working together to wash all the windows?
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[Assistant] 3 2 / 2

[User]
in a certain parking lot, 3 % of the cars are towed for parking illegally. however 80 % of the cars which are parked illegally are not towed. what % of cars in the parking lot are parked illegally. '
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[Assistant] 15

[User]
if the given two numbers are respectively 5 % and 25 % of a third number, then what percentage is the first of the second?
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[Assistant] 20 %

[User]
if the radius of a cylinder is doubled and height 4 times, what is the new volume of the cylinder divided by the old one?
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[Assistant] 16.

[User]
starting from his house one day, a student walk at a speed of 2 kmph and reaches his school 10 minutes late. next he increased his speed by 1 kmph and reaches the school 10 minutes early. how far is the school from his house?
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[Assistant] 2 km


[User]
if 23 lines are drawn in a plane such that no two of them are parallel and no three are concurrent, then in how many points do they intersect?
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[Assistant] 253

[User]
what is the compound interest on rs. 6500 at 5.5 % p. a. compounded half - yearly for 1 year.
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[Assistant] 362.42

[User]
the length of a rectangle is two - fifths of the radius of a circle. the radius of the circle is equal to the side of the square, whose area is 1225 sq. units. what is the area ( in sq. units ) of the rectangle if the rectangle if the breadth is 6 units?
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[Assistant] 84

[User]
the sum of the non - prime numbers between 20 and 30, non - inclusive, is
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[Assistant] 173

[User]
there are 60 supermarkets in the fgh chain. all of them are either in the us or canada. if there are 22 more fgh supermarkets in the us than in canada, how many fgh supermarkets are there in the us?
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[Assistant] 41


[User]
a salt manufacturing company produced a total of 1000 tonnes of salt in january of a particular year. starting from february its production increased by 100 tonnes every month over the previous months until the end of the year. find its ave 66 rage daily production for that year?
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[Assistant] 51

[User]
how much water should be added to 15 liters of a 20 % - solution of alcohol to reduce the concentration of alcohol in the solution by 75 %?
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[Assistant] 25 liters

[User]
the sum of ages of 5 children born 3 years different each is 70 yrs. what is the age of the elder child?
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[Assistant] 20

[User]
in a sample of 800 high school students in which all students are either freshmen, sophomores, juniors, or seniors, 27 percent are juniors and 75 percent are not sophomores. if there are 160 seniors, how many more freshmen than sophomores are there among the sample of students?
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[Assistant] 24

[User]
find the average of all the numbers between 6 and 36 which are divisible by 5.
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[Assistant] 22.5


[User]
tom, working alone, can paint a room in 10 hours. peter and john, working independently, can paint the same room in 5 hours and 2 hours, respectively. tom starts painting the room and works on his own for two hour. he is then joined by peter and they work together for two hour. finally, john joins them and the three of them work together to finish the room, each one working at his respective rate. what fraction of the whole job was done by peter?
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[Assistant] 1 / 2

[User]
a train 440 m long is running with a speed of 60 km / hr. in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going?
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[Assistant] 24

[User]
a can do a piece of work in 10 days and b can do it in 15 days and c can do it 20 days. they started the work together and a leaves after 2 days and b leaves after 4 days from the beginning. how long will work lost?
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[Assistant] 10 2 / 3

[User]
find two integers, neither of which ends in a zero, and whose product is exactly 1, 00,000
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[Assistant] 32 and 3,125

[User]
a man starts walking at 3 pm. ha walks at a speed of 4 km / hr on level ground and at a speed of 3 km / hr on uphill, 6 km / hr downhill and then 4 km / hr on level ground to reach home at 9 pm. what is the distance covered on one way
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[Assistant] 12 km


[User]
a train 175 m long running at 36 kmph crosses a platform in 40 sec. what is the length of the platform?
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[Assistant] 225

[User]
in how many v ways can a 4 - letter password be chosen, using the letters a, b, c, d, e, and / or f, such that at least one letter is repeated within the password?
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[Assistant] 936

[User]
the average expenditure of a labourer for 6 months was 85 and he fell into debt. in the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30. his monthly income is
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[Assistant] 78

[User]
what is the greatest positive integer x such that 7 ^ x is a factor of 343 ^ 10?
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[Assistant] 30

[User]
in the xy - coordinate system, what is the slope of the line that goes through the point ( 4, 4 ) and is equidistant from the two points p = ( 0, 2 ) and q = ( 12, 8 )?
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[Assistant] 0.5


[User]
a sum of money is sufficient to pay b's wages for 12 days and c's wages for 24 days. the same money is sufficient to pay the wages of both for?
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[Assistant] 8

[User]
jonathan, matthew and zac are picking strawberries from their yard. together they have picked a total of 550 strawberries. jonathan and matthew have picked 350 strawberries together. matthew and zac have picked 250 strawberries together. how many strawberries has zac picked by himself?
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[Assistant] 200

[User]
in a certain parallelogram the degree measure of one angle exceeds that of the other by 70 what is the degree measure of the smaller angle?
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[Assistant] 55

[User]
a candidate got 35 % of the votes and lost to the rival by 1350 votes. how many votes were cast?
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[Assistant] 4500

[User]
the product of two numbers is 2028 and their h. c. f. is 13. the number of such pairs is :
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[Assistant] 2


[User]
a train 140 m long crosses a platform 160 m long in 16 sec ; find the speed of the train?
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[Assistant] 68 kmph

[User]
a zeebra chases a tiger 5 hours after the tiger runs. zeebra takes 6 hours to reach the tiger. if the average speed of the zeebra is 55 kmph, what s the average speed of the tiger?
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[Assistant] 30 kmph

[User]
if a certain coin is flipped, the probability that the coin will land heads is 1 / 2. if the coin is flipped 5 times, what is the probability that it will land heads up on the first 4 flips but not on the last flip?
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[Assistant] 1 / 32

[User]
a fruit seller had some apples. he sells 40 % and still has 420 apples. originally, he had?
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[Assistant] 700 apples

[User]
the average age of students of a class is 15.8 years. the average age of boys in the class is 16.2 years and that of the girls is 15.4 years. the ration of the number of boys to the number of girls in the class is :
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[Assistant] 1 : 1


[User]
in a box of 12 pens, a total of 3 are defective. if a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective?
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[Assistant] 6 / 11

[User]
if a sum of money doubles itself in 15 years at simple interest, the ratepercent per annum is
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[Assistant] 6.67

[User]
alok ordered 16 chapatis, 5 plates of rice, 7 plates of mixed vegetable and 6 ice - cream cups. the cost of each chapati is rs. 6, that of each plate of rice is rs. 45 and that of mixed vegetable is rs. 70. the amount that alok paid the cashier was rs. 883. find the cost of each ice - cream cup?
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[Assistant] 12

[User]
if a person walks at 16 km / hr instead of 8 km / hr, he would have walked 20 km more. the distance traveled by him if he walked at 16 km / hr?
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[Assistant] 40 km

[User]
drum x is 1 / 2 full of oil and drum y, which has twice the capacity of drum x, is 1 / 3 full of oil. if all of the oil in drum x is poured into drum y, then drum y will be filled to what capacity?
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[Assistant] 7 / 12


[User]
find the area of trapezium whose parallel sides are 26 cm and 18 cm long, and the distance between them is 15 cm.
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[Assistant] 330

[User]
a train 160 m long passes a man, running at 6 kmph in the direction opposite to that of the train, in 6 seconds. the speed of the train is
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[Assistant] 90 kmph

[User]
an aeroplane covers a certain distance at a speed of 240 kmph in 6 hours. to cover the same distance in 1 2 / 3 hours, it must travel at a speed of :
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[Assistant] 864

[User]
if 9 engines consume 24 metric tonnes of coal, when each is working 8 hoursday, bow much coal will be required for 8 engines, each running 13 hours a day, it being given that 3 engines of former type consume as much as 4 engines of latter type?
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[Assistant] 26

[User]
the value of log 2 ( log 5625 ) is
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[Assistant] 2


[User]
if 16 percent of the students at a certain school went to a camping trip and took more than $ 100, and 75 percent of the students who went to the camping trip did not take more than $ 100, what percentage of the students at the school went to the camping trip?
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[Assistant] 64

[User]
a man sitting in a train which is traveling at 55 kmph observes that a goods train, traveling in opposite direction, takes 10 seconds to pass him. if the goods train is 320 m long, find its speed
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[Assistant] 60 kmph

[User]
a man invests some money partly in 10 % stock at 90 and partly in 5 % stock at 90. to obtain equal dividends from both, he must invest the money in the ratio :
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[Assistant] 1 : 2

[User]
solve below question 2 x + 1 = - 23
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[Assistant] - 12

[User]
calculate 85184 ÷? = 352
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[Assistant] 242


[User]
in a group of cows and chickens, the number of legs was 20 more than twice the number of heads. the number of cows was :
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[Assistant] 10

[User]
the average marks in mathematics scored by the pupils of a school at the public examination were 39. if 4 of these pupils who actually scored 25, 12, 15 and 19 marks at the examination had not been sent up, the average marks for the school would have been 44. find the number of pupils sent up for examination from the school?
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[Assistant] 21

[User]
amanda sees a sale for 30 % off all items, she sees a dress on sale that originally cost $ 50. how much will it cost amanda to buy the dress after the sale amount of 30 % has been take off?
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[Assistant] $ 35

[User]
a cricket bat is sold for $ 900, making a profit of $ 150. the profit percentage would be
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[Assistant] 20 %

[User]
of the 3,600 employees of company x, 1 / 3 are clerical. if the clerical staff were to be reduced by 1 / 4, what percent of the total number of the remaining employees would then be clerical?
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[Assistant] 28.1 %


[User]
raja spends 60 % of his monthly income on household items, 10 % of his monthly income on buying cloths, 10 % of his monthly income on medicines and saves the remaining amount which is rs. 5000. find his monthly income.
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[Assistant] rs. 25000

[User]
22.085 ã — 0.001 =?
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[Assistant] 0.022085

[User]
0.99999 + 0.11111 =?
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[Assistant] 1.1111

[User]
a certain company has records stored with a record storage firm in 15 - inch by 12 - inch by 10 - inch boxes. the boxes occupy 1.08 million cubic inches of space. if the company pays $ 0.8 per box per month for the record storage, what is the total amount that the company pays each month for record storage?
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[Assistant] a. 480

[User]
the sector of a circle has radius of 35 cm and central angle 135 o. find its perimeter?
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[Assistant] 152.5 cm


[User]
for every even positive integer m, f ( m ) represents the product of all even integers from 2 to m, inclusive. for example, f ( 12 ) = 2 x 4 x 6 x 8 x 10 x 12. what is the greatest prime factor of f ( 26 )?
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[Assistant] 13

[User]
what is the remainder when 6 ^ 381 is divided by 5?
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[Assistant] 1

[User]
two trains of equal length are running on parallel lines in the same directions at 46 km / hr. and 36 km / hr. the faster trains pass the slower train in 108 seconds. the length of each train is :
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[Assistant] 150 m

[User]
a team won 40 percent of its first 30 games in a particular season, and 80 percent of its remaining games. if the team won a total of 50 percent of its games that season, what was the total number of games that the team played?
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[Assistant] 40

[User]
the parameter of a square is equal to the perimeter of a rectangle of length 22 cm and breadth 16 cm. find the circumference of a semicircle whose diameter is equal to the side of the square. ( round off your answer to two decimal places )
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[Assistant] 29.85 cm


[User]
the ratio of the arithmetic mean of two numbers to one of the numbers is 5 : 9. what is the ratio of the smaller number to the larger number?
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[Assistant] 1 : 9

[User]
if | 5 x - 10 | = 100, then find the sum of the values of x?
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[Assistant] 3

[User]
a is twice as good a workman as b and together they finish a piece of work in 18 days. in how many days will a alone finish the work?
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[Assistant] 27 days

[User]
it takes avery 2.5 hours to build a brick wall while tom can do it in 5 hours. if the two start working together and after an hour avery leaves, how much time will it take tom to complete the wall on his own?
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[Assistant] 2 hours

[User]
a, b and c invests rs. 4000, rs. 2000 and rs. 6000 in a business. after one year a removed his money ; b and c continued the business for two more year. if the net profit after 3 years be rs. 3300, then a's share in the profit is?
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[Assistant] 600


[User]
if y > 0, ( 7 y ) / 20 + ( 3 y ) / 10 is what percent of y?
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[Assistant] 65 %

[User]
the value of a machine depreciates at 21 % per annum. if its present value is $ 1, 50,000, at what price should it be sold after two years such that a profit of $ 24,000 is made?
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[Assistant] $ 117615

[User]
what is the cp of rs 100 stock at 9 discount, with 1 / 5 % brokerage?
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[Assistant] 91.2

[User]
the speeds of three asteroids were compared. asteroids x - 13 and y - 14 were observed for identical durations, while asteroid z - 15 was observed for 2 seconds longer. during its period of observation, asteroid y - 14 traveled three times the distance x - 13 traveled, and therefore y - 14 was found to be faster than x - 13 by 8000 kilometers per second. asteroid z - 15 had an identical speed as that of x - 13, but because z - 15 was observed for a longer period, it traveled five times the distance x - 13 traveled during x - 13's inspection. asteroid x - 13 traveled how many kilometers during its observation?
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[Assistant] 2,000

[User]
the average of 15 numbers is 75. average of the first 8 of them is 68 and that of the last 8.00001 is 77. find the 8.000001 th number?
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[Assistant] 35


[User]
when a student joe, weighing 42 kg, joins a group of students whose average weight is 30 kg, the average weight goes up by 1 kg. subsequently, if two students, excluding joe, leave the group the average weight comes back to 30 kg. what is the difference between the average weight of the two students who left and the weight of joe?
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[Assistant] 6 kg

[User]
the sum of two numbers is 44. 5 times one number is equal to 6 times the other. the smaller of the two numbers is
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[Assistant] 20

[User]
youseff lives x blocks from his office. it takes him 1 minute per block to walk to work and 20 seconds per block to ride his bike to work. it is takes him exactly 4 minutes more to walk to work than to ride his bike to work, then x equals?
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[Assistant] 6

[User]
a take twice as much time as b or thrice as much time to finish a piece of work. working together, they can finish the work in 5 days. b can do the work alone in?
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[Assistant] 30

[User]
a rectangular field is to be fenced on three sides leaving a side of 8 feet uncovered. if the area of the field is 680 sq. ft, how many feet of fencing will be required?
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[Assistant] 178 ft


[User]
a train 400 m in length crosses a telegraph post in 16 seconds. the speed of the train is?
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[Assistant] 90 kmph

[User]
ravi can do a piece of work in 50 days while prakash can do it in 75 days. in how many days will they finish it together?
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[Assistant] 30 days

[User]
the marks obtained by polly and sandy are in the ratio 3 : 5 and those obtained by sandy and willy are in the ratio of 5 : 2. the marks obtained by polly and willy are in the ratio of...?
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[Assistant] 3 : 2

[User]
add 10 % of 30 and 15 % of 50.
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[Assistant] 10.5

[User]
the average of temperatures at noontime from monday to friday is 50 ; the lowest one is 40, what is the possible maximum range of the temperatures?
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[Assistant] 50


[User]
a sun is divided among x, y and z in such a way that for each rupee x gets, y gets 45 paisa and z gets 30 paisa. if the share of y is rs. 36, what is the total amount?
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[Assistant] 140

[User]
a retailer sold 2 houses at each $ 10000. on 1 st house he got 30 % profit and on 2 nd house he loss 10 % then find his net profit or loss?
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[Assistant] 17 %

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

[User]
today joelle opened an interest - bearing savings account and deposited $ 6000. if the annual interest rate is 5 percent compounded interest, and she neither deposits nor withdraws money for exactly 2 years, how much money will she have in the account?
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[Assistant] $ 6615

[User]
a boat can travel with a speed of 24 km / hr in still water. if the speed of the stream is 4 km / hr, find the time taken by the boat to go 196 km downstream
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[Assistant] 7 hours


[User]
a train 900 m long is running at a speed of 78 km / hr. if it crosses a tunnel in 1 min, then the length of the tunnel is?
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[Assistant] 400 m

[User]
jayant opened a shop investing rs. 30,000. madhu joined him 2 months later, investing rs. 45,000. they earned a profit of rs. 54,000 after completion of one year. what will be madhu's share of profit?
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[Assistant] rs. 27,000

[User]
600 men have provisions for 20 days. if 200 more men join them, for how many days will the provisions last now?
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[Assistant] 15

[User]
the hcf of two numbers is 52 and the other two factors of their lcm are 11 and 12. what is the largest number.
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[Assistant] 624

[User]
a whale goes on a feeding frenzy that lasts for 9 hours. for the first hour he catches and eats x kilos of plankton. in every hour after the first, it consumes 3 kilos of plankton more than it consumed in the previous hour. if by the end of the frenzy the whale will have consumed a whopping accumulated total 270 kilos of plankton, how many kilos did he consume on the sixth hour?
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[Assistant] 33


[User]
in a garment industry, 12 men working 8 hours per day complete a piece of work in 10 days. to complete the same work in 8 days, working 5 hours a day, the number of men required is :
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[Assistant] 24

[User]
if in a box of dimensions 6 m * 5 m * 4 m smaller boxes of dimensions 60 cm * 50 cm * 40 cm are kept in it, then what will be the maximum number of the small boxes that can be kept in it?
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[Assistant] 1000

[User]
the area of a square field is 64816 sq m. how long will a lady take to cross the field diagonally at the rate of 7.2 km / hr?
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[Assistant] 3 min

[User]
the ratio 15 : 25 expressed as percent equals to
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[Assistant] 60 %

[User]
the ratio between the number of sheep and the number of horses at the stewar farm is 2 to 7. if each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day. what is number sheep in the form??
Answer the question using a single word or phrase.

[Assistant] 16


[User]
the ratio of the arithmetic mean of two numbers to one of the numbers is 4 : 6. what is the ratio of the smaller number to the larger number?
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[Assistant] 1 : 3

[User]
the speed of a boat in still water in 22 km / hr and the rate of current is 4 km / hr. the distance travelled downstream in 24 minutes is :
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[Assistant] 10.4

[User]
the present ratio of students to teachers at a certain school is 45 to 1. if the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. what is the present number of teachers?
Answer the question using a single word or phrase.

[Assistant] 4

[User]
the number of stamps that kaye and alberto had were in the ration of 5 : 3 respectively. after kaye gave alberto 10 of her stamps, the ration of the number of kaye had to the number of alberto had was 3 : 2. as a result of the gift, kaye had how many more stamps than alberto?
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[Assistant] 80

[User]
a certain bacteria colony doubles in size every day for 16 days, at which point it reaches the limit of its habitat and can no longer grow. if two bacteria colonies start growing simultaneously, how many days will it take them to reach the habitat ’ s limit?
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[Assistant] 15


[User]
find the area of the quadrilateral of one of its diagonals is 15 cm and its off sets 6 cm and 4 cm?
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[Assistant] 75 cm 2

[User]
the average of 10 numbers is 23. if each number is increased by 1, what will the new average be?
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[Assistant] 24

[User]
sakshi can do a piece of work in 15 days. tanya is 25 % more efficient than sakshi. the number of days taken by tanya to do the same piece of work :
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[Assistant] 12

[User]
an electric pump can fill a tank in 5 hours. because of a leak in the tank, it took 10 hours to fill the tank. if the tank is full, how much time will the leak take to empty it?
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[Assistant] 10 hours

[User]
4, 6, 12, 14, 28, 30,..?
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[Assistant] no = 60


[User]
a cubical block of metal weighs 6 pounds. how much will another cube of the same metal weigh if its sides are twice as long?
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[Assistant] 48

[User]
working together at their respective constant rates, machine a and machine b can produce 1,600 units in 8 hours. working alone, machine b would complete that same output in 50 % more time. if machine a were to work on its own for an 8 - hour shift, what percent of the 1,600 unit total would it produce?
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[Assistant] 33

[User]
find the value for x from below equation : x / 3 = - 4?
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[Assistant] - 12

[User]
a sum of money is sufficient to pay x's wages for 36 days and y's wages for 45 days. the same money is sufficient to pay the wages of both for?
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[Assistant] 20

[User]
length of a rectangular plot is 16 mtr more than its breadth. if the cost of fencing the plot at 26.50 per meter is rs. 5300, what is the length of the plot in mtr?
Answer the question using a single word or phrase.

[Assistant] 58 m


[User]
at what price must an article costing rs. 75 be marked in order that after deducting 5 % from the list price. it may be sold at a profit of 25 % on the cost price?
Answer the question using a single word or phrase.

[Assistant] 98.68

[User]
two stations a and b are 155 km apart on a straight line. one train starts from a at 7 a. m. and travels towards b at 20 kmph. another train starts from b at 8 a. m. and travels towards a at a speed of 25 kmph. at what time will they meet?
Answer the question using a single word or phrase.

[Assistant] 11

[User]
each week, harry is paid x dollars per hour for the first 12 hours and 1.5 x dollars for each additional hour worked that week. each week, james is paid x dollars per per hour for the first 40 hours and 2 x dollars for each additional hour worked that week. last week james worked a total of 41 hours if harry and james were paid the same amount last week, how many hours did harry work last week?
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[Assistant] 32

[User]
if the volume of two cubes are in the ratio 64 : 1, the ratio of their edges is :
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[Assistant] 4 : 1

[User]
a, b and c play a cricket match. the ratio of the runs scored by them in the match is a : b = 5 : 3 and b : c = 5 : 2. if the total runs scored by all of them are 60, the runs scored by b are?
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[Assistant] 19.56


[User]
15.03 ã — 0.01 =?
Answer the question using a single word or phrase.

[Assistant] 0.1503

[User]
12 men can complete a piece of work in 4 days, while 15 women can complete the same work in 4 days. 6 men start working on the job and after working for 2 days, all of them stopped working. how many women should be put on the job to complete the remaining work, if it is to be completed in 3 days.
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[Assistant] 15

[User]
mr. kramer, the losing candidate in a two - candidate election, received 942,568 votes, which was exactly 20 percent of all votes cast. approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast?
Answer the question using a single word or phrase.

[Assistant] 37 %

[User]
in a mixture 60 litres, the ratio of milk and water 2 : 1. if this ratio is to be 1 : 2, then the quanity of water to be further added is :
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[Assistant] 60

[User]
a tap can fill a tank in 16 hours. after half the tank is filled, 3 more similar taps are opened. what is the total time taken to fill the tank completely?
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[Assistant] 10 hrs


[User]
the sale price sarees listed for rs. 600 after successive discount is 20 % and 5 % is?
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[Assistant] 456

[User]
a reduction of 25 % in the price of oil enables a house wife to obtain 5 kgs more for rs. 700, what is the reduced price for kg?
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[Assistant] 35

[User]
robert is travelling on his cycle and has calculated to reach point a at 2 p. m. if he travels at 10 kmph, he will reach there at 12 noon if he travels at 15 kmph. at what speed must he travel to reach a at 1 p. m.?
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[Assistant] 12

[User]
the average of 10 consecutive integers is 16. then, 9 is deducted from the first consecutive number, 8 is deducted from the second, 7 is deducted form the third, and so on until the last number which remains unchanged. what is the new average?
Answer the question using a single word or phrase.

[Assistant] 11.5

[User]
after 2 games, team b had an average of 61.5 points per game. if it got only 47 points in game 3, how many more points does it need to score to get its total above 500?
Answer the question using a single word or phrase.

[Assistant] 330


[User]
calculate the number of bricks, each measuring 25 cm * 15 cm * 8 cm required to construct a wall of dimensions 10 m * 4 m * 5 m when 10 % of its volume is occupied by mortar?
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[Assistant] 6000

[User]
a class has a ratio of 3 : 6 : 7 of children with red hair, blonde hair and black hair respectively. if the class has 9 kids with red hair, how many kids are in the class?
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[Assistant] 48

[User]
a certain club has 10 members, including parry. one of the 10 members is chosen at random to be the president, one of the remaining 9 members is to be chosen at random to be the secretary, and one of the remaining 8 members is to be chosen at random to be the treasurer. what is the probability that parry will be either the member chose to be secretary or the member chose to be treasurer?
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[Assistant] 1 / 5

[User]
a millionaire bought a job lot of hats 1 / 4 of which were brown. the millionaire sold 2 / 3 of the hats including 4 / 5 of the brown hats. what fraction of the unsold hats were brown.
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[Assistant] 3 / 20

[User]
if three machines working at the same rate can do 3 / 4 of a job in 30 minutes, how many minutes would it take two machines working at the same rate to do 3 / 5 of the job?
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[Assistant] 36


[User]
{ ( 481 + 426 ) 2 - 4 x 481 x 426 } =?
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[Assistant] 3025

[User]
working together at their respective constant rates, machine a and machine b can produce 900 units in 8 hours. working alone, machine b would complete that same output in 50 % more time. if machine a were to work on its own for an 8 - hour shift, what percent of the 900 unit total would it produce?
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[Assistant] 30

[User]
sum of the squares of 3 no.'s is 138 and the sum of their products taken two at a time is 131. find the sum?
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[Assistant] 20

[User]
a not - so - good clockmaker has four clocks on display in the window. clock # 1 loses 10 minutes every hour. clock # 2 gains 15 minutes every hour relative to clock # 1 ( i. e., as clock # 1 moves from 12 : 00 to 1 : 00, clock # 2 moves from 12 : 00 to 1 : 15 ). clock # 3 loses 20 minutes every hour relative to clock # 2. finally, clock # 4 gains 20 minutes every hour relative to clock # 3. if the clockmaker resets all four clocks to the correct time at 12 noon, what time will clock # 4 display after 6 actual hours ( when it is actually 6 : 00 pm that same day )?
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[Assistant] 6 : 00

[User]
if x and y are positive integers and 11 + x + y + xy = 25, what is the value of x + y?
Answer the question using a single word or phrase.

[Assistant] 6


[User]
a 6000 liter tank, half - full of water is being filled from a pipe with a flow rate of 1 kiloliter every 2 minutes. at the same time, the tank is losing water from two drains at a rate of 1 kiloliter every 4 minutes and every 6 minutes. how many minutes does it take to fill the tank completely?
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[Assistant] 36

[User]
rs. 1040 is divided amongst a, b, c so that 2 times a's share, 3 times b's share and 4 times c's share are all equal. find a's share?
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[Assistant] 480

[User]
salesperson a's compensation for any week is $ 300 plus 6 percent of the portion of a's total sales above $ 1,000 for that week. salesperson b's compensation for any week is 8 percent of b's total sales for that week. for what amount of total weekly sales would both salespeople earn the same compensation?
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[Assistant] $ 12,000

[User]
if the number is decreased by 5 and divided by 7 the result is 7. what would be the result if 6 is subtracted and divided by 8?
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[Assistant] 6

[User]
( x + 5 ) is a factor in x ^ 2 - mx - 40. what is the value of m?
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[Assistant] 3


[User]
in a rectangular coordinate system, what is the area of a quadrilateral whose vertices have the coordinates ( 4, - 3 ), ( 4, 7 ), ( 10, 4 ), ( 10, - 7 )?
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[Assistant] 63

[User]
a sum is divided among b, c and d in such a way that for each rupee b gets, c gets 150 paisa and d gets 50 paisa. if the share of c is rs. 40, what is the total amount?
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[Assistant] 80

[User]
find the average marks of all the students in 2 separate classes, if the average marks of students in the first class of 58 students is 67 and that of another class of 52 students is 82.
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[Assistant] 74.1

[User]
mixture contains alcohol and water in the ratio 4 : 3. if 7 liters 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] 5

[User]
find the value of 1 / ( 3 + 1 / ( 3 + 1 / ( 3 - 1 / 3 ) ) )?
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[Assistant] 27 / 89


[User]
18 men can complete a piece of work in 20 days. in how many days can 15 men complete that piece of work?
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[Assistant] 24

[User]
the market value of a 10.5 % stock, in which an income of rs. 756 is derived by investing rs. 9000, brokerage being 1 / 4 %, is :
Answer the question using a single word or phrase.

[Assistant] 124.75

[User]
a dog takes 2 leaps for every 3 leaps of a hare. if one leap of the dog is equal to 5 leaps of the hare, the ratio of the speed of the dog to that of the hare is :
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[Assistant] 10 : 3

[User]
if a 10 percent deposit that has been paid toward the purchase of a certain product is $ 55, how much more remains to be paid?
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[Assistant] $ 495

[User]
if two times of the daughter ’ s age in years is included to the mother ’ s age, the total is 70 and if two times of the mother ’ s age is included to the daughter ’ s age, the total is 95. so the mother ’ s age is,
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[Assistant] 40


[User]
an auto assembly plant performs 6 functions with each frame that arrives : add axles, add wheels to the axles, install the windshield to the frame, install the instrument panel, install the steering wheel, and install the interior seating. once those 6 tasks are performed, each car goes to a separate building for finishing touches. if these tasks can be arranged along a linear assembly line in any order, except that the axles must be installed before the wheels can be added, how many r ways can the assembly line be arranged?
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[Assistant] 360

[User]
a and b put in rs. 300 and rs. 400 respectively into a business. a reinvests into the business his share of the first year's profit of rs. 140 where as b does not. in what ratio should they divide the second year's profit?
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[Assistant] 9 : 10

[User]
the difference between the compound interest and simple interest on a certain sum at 10 % per annum for 2 years is $ 631. find the sum?
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[Assistant] $ 63100

[User]
what is the smallest number which when diminished by 16, is divisible 4, 6, 8 and 10?
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[Assistant] 136

[User]
in a room with 10 people, 6 people have exactly 1 friend in the room and 5 people have exactly 2 friends in the room ( assuming that friendship is a mutual relationship, i. e. if jane is paul's friend, paul is jane's friend ). if two individuals are selected from the room at random, what is the probability that those two individuals are not friends?
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[Assistant] 4 / 5


[User]
there are 4 people of different heights standing in order of increasing height. the difference is 2 inches between the first person and the second person, and also between the second person and the third person. the difference between the third person and the fourth person is 6 inches and the average height is 79. how tall is the fourth person?
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[Assistant] 85

[User]
a not - so - good clockmaker has four clocks on display in the window. clock # 1 loses 17 minutes every hour. clock # 2 gains 15 minutes every hour relative to clock # 1 ( i. e., as clock # 1 moves from 12 : 00 to 1 : 00, clock # 2 moves from 12 : 00 to 1 : 15 ). clock # 3 loses 20 minutes every hour relative to clock # 2. finally, clock # 4 gains 20 minutes every hour relative to clock # 3. if the clockmaker resets all four clocks to the correct time at 12 noon, what time will clock # 4 display after 6 actual hours ( when it is actually 6 : 00 pm that same day )?
Answer the question using a single word or phrase.

[Assistant] 5 : 34

[User]
if both 5 ^ 3 and 3 ^ 4 are factors of n x ( 2 ^ 5 ) x ( 12 ^ 2 ) x ( 7 ^ 3 ) x ( 10 ^ 2 ), what is the smallest possible positive value of n?
Answer the question using a single word or phrase.

[Assistant] 45

[User]
the profit earned by selling an article for 812 is equal to the loss incurred when the same article is sold for 448. what should be the sale price of the article for making 50 per cent profit?
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[Assistant] 945

[User]
if w is 40 percent less than e, e is 40 percent less than y, and z is 46 percent less than y, then z is greater than w by what percent of w?
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[Assistant] 50 %


[User]
what is the angle between the minute hand and the hour hand when the time is 1540 hours?
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[Assistant] 130

[User]
what is the sum of the multiples of 3 from 33 to 60, inclusive?
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[Assistant] 465

[User]
3 people each took 5 tests. if the ranges of their scores in the 5 practice tests were 15, 25 and 30, what is the minimum possible range in scores of the 3 test - takers?
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[Assistant] 25

[User]
a goods train runs at the speed of 72 kmph and crosses a 270 m long platform in 26 seconds. what is the length of the goods train?
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[Assistant] 250 m

[User]
rebecca's annual income is $ 15000 and jimmy's annual income is $ 18000. by how much must rebecca's annual income increase so that it constitutes 50 % of rebecca and jimmy's combined income?
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[Assistant] 3000


[User]
on a certain road 10 % of the motorists exceed the posted speed limit and receive speeding tickets, but 15 % of the motorists who exceed the posted speed limit do not receive speeding tickets. what percent of the motorists on the road exceed the posted speed limit?
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[Assistant] 11.7 %

[User]
a train passes a station platform in 36 sec and a man standing on the platform in 23 sec. if the speed of the train is 54 km / hr. what is the length of the platform?
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[Assistant] 195

[User]
for any positive number x, the function [ x ] denotes the greatest integer less than or equal to x. for example, [ 1 ] = 1, [ 1.567 ] = 1 and [ 1.999 ] = 1. if k is a positive integer such that k ^ 2 is divisible by 45 and 80, what is the units digit of k ^ 3 / 4000?
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[Assistant] 0

[User]
in the faculty of reverse - engineering, 100 second year students study numeric methods, 100 second year students study automatic control of airborne vehicles and 25 second year students study them both. how many students are there in the faculty if the second year students are approximately 50 % of the total?
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[Assistant] 350

[User]
the probability that a computer company will get a computer hardware contract is 3 / 4 and the probability that it will not get a software contract is 3 / 5. if the probability of getting at least one contract is 5 / 6, what is the probability that it will get both the contracts?
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[Assistant] 19 / 60


[User]
a man sitting in a train which is travelling at 60 kmph observes that a goods train, travelling 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] 52 kmph.

[User]
a straight line in the xy - plane has slope 2. on this line the x - coordinate of the point is 300 and y - coordinate is 900 then what is the y intercept of the plane?
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[Assistant] 200

[User]
a marketing survey of anytown found that the ratio of trucks to sedans to motorcycles was 3 : 7 : 2, respectively. given that there are 11,200 sedans in anytown, how many motorcycles are there?
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[Assistant] 3200

[User]
to fill a tank, 25 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 two - fifth of its present?
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[Assistant] 62.5

[User]
the walker walking at a constant rate of 4 miles per hour is passed by a cyclist traveling in the same direction along the same path at 20 miles per hour. the cyclist stops to wait for the hiker 5 minutes after passing her, while the walker continues to walk at her constant rate, how many minutes must the cyclist wait until the walker catches up?
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[Assistant] 20


[User]
a train traveled the first d miles of its journey it an average speed of 60 miles per hour, the next d miles of its journey at an average speed of y miles per hour, and the final d miles of its journey at an average speed of 160 miles per hour. if the train ’ s average speed over the total distance was 94 miles per hour, what is the value of y?
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[Assistant] 98

[User]
what is the total number of positive integers that are less than 1000 and that have no positive factor in common with 1000 other than 1?
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[Assistant] 400

[User]
the monthly incomes of a and b are in the ratio 5 : 2. b's monthly income is 12 % more than c's monthly income. if c's monthly income is rs. 13000, then find the annual income of a?
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[Assistant] rs. 436800

[User]
3 * 13 + 3 * 14 + 3 * 17 + 11 =?
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[Assistant] 143

[User]
in mrs. susna's class, 1 / 4 of her students are getting an a, 1 / 2 are getting a b, 1 / 8 are getting a c, 1 / 12 are getting a d, and 1 / 24 are getting a f. what fraction of mrs. susna's class getting a passing grade of c or higher.
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[Assistant] 7 / 8


[User]
there is a 45 cm line marked at each centimeter and an insect is placed at every centimeter. 9 frogs are trained to jump a constant distance. the first one jumps 2 cm in every leap, the second one jumps 3 cm and so on until the 9 th one jumps 10 cm in every leap and they eat any insect that is available at that spot. if all of them start from start line and finish the entire 45 cm, how many insects were still left after the race was over?
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[Assistant] 10

[User]
the present population of a town is 4032. population increase rate is 20 % p. a. find the population of town before 2 years?
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[Assistant] 2800

[User]
a cistern has a leak which would empty the cistern in 20 minutes. a tap is turned on which admits 2 liters a minute into the cistern, and it is emptied in 24 minutes. how many liters does the cistern hold?
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[Assistant] 240

[User]
the present population of a town is 10000. population increase rate is 10 % p. a. find the population of town after 2 years?
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[Assistant] 12100

[User]
john has taken 4 ( 4 ) tests that have an average of 82. in order to bring his course grade up to a ‘ b ’, he will need to have a final average of 86. what will he need to average on his final two tests to achieve this grade?
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[Assistant] 94


[User]
if 10 litres of an oil of rs. 50 per litres be mixed with 5 litres of another oil of rs. 67 per litre then what is the rate of mixed oil per litre?
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[Assistant] rs. 55.66

[User]
the sum of first 45 natural numbers is :
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[Assistant] 1035

[User]
if the difference between the length and breadth of a rectangle is 23 m and its perimeter is 226 m, what is its area?
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[Assistant] 3060

[User]
there is a 30 % chance sandy will visit china this year, while there is a 60 % chance that she will visit malaysia this year. what is the probability that sandy will visit either china or malaysia this year, but not both?
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[Assistant] 54 %

[User]
mike earns $ 14 per hour and phil earns $ 10.5 per hour. approximately how much less, as a percentage, does phil earn than mike per hour?
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[Assistant] 25 %


[User]
the total price of a basic computer and printer are $ 2500. if the same printer had been purchased with an enhanced computer whose price was $ 500 more than the price of the basic computer, then the price of the printer would have been 1 / 6 of that total. what was the price of the basic computer?
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[Assistant] 2000

[User]
find the average of first 4 multiples of 9?
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[Assistant] 22.5

[User]
company a's workforce consists of 10 percent managers and 90 percent software engineers. company b's workforce consists of 30 percent managers, 10 percent software engineers, and 60 percent support staff. the two companies merge, every employee stays with the resulting company, and no new employees are added. if the resulting company í s workforce consists of 25 percent managers, what percent of the workforce originated from company a?
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[Assistant] 25 %

[User]
a and b walk around a circular track. they start at 9 a. m. from the same point in the opposite directions. a and b walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. how many times shall they cross each other before 12 : 00 p. m.?
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[Assistant] 20

[User]
if n is a positive integer and n ^ 3 is a multiple of 550, what is the least possible value of n?
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[Assistant] 110


[User]
two goods trains each 375 m long are running in opposite directions on parallel tracks. their speeds are 45 km / hr and 30 km / hr respectively. find the time taken by the slower train to pass the driver of the faster one?
Answer the question using a single word or phrase.

[Assistant] 36

[User]
if x is invested in a bank at a rate of simple interest of y % p. a. for two years, then the interest earned is 300. if x is invested at y % p. a., for two years when the interest is compounded annually, the interest is 307.50. what is the value of x?
Answer the question using a single word or phrase.

[Assistant] 3000

[User]
a dress on sale in a shop is marked at $ d. during the discount sale its price is reduced by 25 %. staff are allowed a further 20 % reduction on the discounted price. if a staff member buys the dress what will she have to pay in terms of d?
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[Assistant] 0.6 d

[User]
what is the normal price of an article sold at $ 108 after two successive discounts of 10 % and 20 %?
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[Assistant] $ 150

[User]
kim has 8 pairs of shoes ; each pair is a different color. if kim randomly selects 2 shoes without replacement from the 16 shoes, what is the probability that she will select 2 shoes of the same color?
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[Assistant] 1 / 15


[User]
a train speeds past a pole in 15 seconds and speeds past a platform 100 meters long in 25 seconds. its length in meters is :
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[Assistant] 150 m

[User]
a cab driver 5 days income was $ 300, $ 150, $ 750, $ 400, $ 500. then his average income is?
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[Assistant] $ 420

[User]
if 12401 is divided by any no. then quotient is 76 and remainder is 13. what is divisor?
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[Assistant] 163

[User]
in a games hour 4 different types of players came to the ground? cricket 12, hokey 17, football 11, softball 10. how many players are present in the ground?
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[Assistant] 50

[User]
a trader sells 40 metres of cloth for rs. 8200 at a profit of rs. 55 per metre of cloth. how much profit will the trder earn on 40 metres of cloth?
Answer the question using a single word or phrase.

[Assistant] rs. 2200


[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 320 square feet. how many feet offence does frank use?
Answer the question using a single word or phrase.

[Assistant] 56

[User]
if a is a positive integer, and if the units digit of a ^ 2 is 4 and the units digit of ( a + 1 ) ^ 2 is 9, what is the units digit of ( a + 2 ) ^ 2?
Answer the question using a single word or phrase.

[Assistant] 6

[User]
lagaan is levied on the 60 percent of the cultivated land. the revenue department collected total rs. 3, 54,000 through the lagaan from the village of mutter. mutter, a very rich farmer, paid only rs. 480 as lagaan. the percentage of total land of mutter over the total taxable land of the village is :
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[Assistant] 0.22598

[User]
if 15 students in a class average 70 % on an exam and 10 students average 90 % on the same exam, what is the average in percent for all 25 students?
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[Assistant] 78 %

[User]
the average ( arithmetic mean ) of all scores on a certain algebra test was 90. if the average of the 8 male students ’ grades was 87, and the average of the female students ’ grades was 92, how many female students took the test?
Answer the question using a single word or phrase.

[Assistant] 12


[User]
ajith and rana walk around a circular course 115 km in circumference, starting together from the same point. if they walk at speed of 4 and 5 kmph respectively, in the same direction, when will they meet?
Answer the question using a single word or phrase.

[Assistant] after 115 hours

[User]
two pipes a and b fill at a certain rate. b is filled at 1020, 4080 ( 10 in 1 hour, 20 in 2 hours, 40 in 3 hrs and so on ). if 1 / 16 of b is filled in 17 hrs, what time it will take to get completely filled?
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[Assistant] 21 hrs

[User]
two numbers are respectively 20 % and 50 % more than a third number. the ratio of the two numbers is :
Answer the question using a single word or phrase.

[Assistant] 4 : 5

[User]
a car is purchased on hire - purchase. the cash price is $ 26 000 and the terms are a deposit of 10 % of the price, then the balance to be paid off over 60 equal monthly installments. interest is charged at 12 % p. a. what is the monthly installment?
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[Assistant] $ 624

[User]
a certain industrial loom weaves 0.129 meters of cloth every second. approximately how many seconds will it take for the loom to weave 15 meters of cloth?
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[Assistant] 116


[User]
a gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same. if there are 6 rows or 4 rows or 8 rows, then no tree will be left. find the least number of trees required
Answer the question using a single word or phrase.

[Assistant] 24

[User]
a number is selected at random from the first 30 natural numbers. what is the probability that the number is a multiple of either 2 or 19?
Answer the question using a single word or phrase.

[Assistant] 8 / 15

[User]
the cash difference between the selling prices of an article at a profit of 6 % and 8 % is rs 3. the ratio of two selling prices is
Answer the question using a single word or phrase.

[Assistant] 53 : 54

[User]
working simultaneously and independently at an identical constant rate, 30 machines of a certain type can produce a total of x units of product p in 3 days. how many of these machines, working simultaneously and independently at this constant rate, can produce a total of 5 x units of product p in 10 days?
Answer the question using a single word or phrase.

[Assistant] 45

[User]
30 men shake hands with each other. maximum no of handshakes without cyclic handshakes.
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[Assistant] 435


[User]
a car traveled 448 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city. if the car traveled 6 fewer miles per gallon in the city than on the highway, how many miles per gallon did the car travel in the city?
Answer the question using a single word or phrase.

[Assistant] 18

[User]
at what rate percent on simple interest will rs. 750 amount to rs. 950 in 5 years?
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[Assistant] 5.33 %

[User]
from the sale of sleeping bags, a retailer made a gross profit of 15 % of the wholesale cost. if each sleeping bag was sold for $ 28, what was the wholesale cost per bag?
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[Assistant] 24.34

[User]
find 40 % of 240
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[Assistant] 96

[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 $ 2.5 per pound. if the total the she spent on chocolate was $ 70 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] 24


[User]
two men start from opposite banks of a river. they meet 340 meters away from one of the banks on forward journey. after that they meet at 170 meters from the other bank of the river on their backward journey. what will be the width of the river ( in meters )?
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[Assistant] 850

[User]
if the number is decreased by 5 and divided by 7 the result is 7. what would be the result if 34 is subtracted and divided by 10?
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[Assistant] 2

[User]
a 160 meter long train crosses a man standing on the platform in 9 sec. what is the speed of the train?
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[Assistant] 64 kmph

[User]
the difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4 % per annum is re. 1. the sum ( in rs. ) is?
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[Assistant] 625

[User]
how many pieces of 0.85 metres can be cut from a rod 42.5 metres long?
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[Assistant] 50


[User]
60 % of a number is added to 160, the result is the same number. find the number?
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[Assistant] 400

[User]
difference of 2 numbers is 1660. if 7.5 % of one number is 12.5 % of the other number, find the 2 numbers?
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[Assistant] 4150,2490

[User]
an optometrist charges $ 150 per pair for soft contact lenses and $ 85 per pair for hard contact lenses. last week she sold 5 more pairs of soft lenses than hard lenses. if her total sales for pairs of contact lenses last week were $ 2,395, what was the total number of pairs of contact lenses that she sold?
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[Assistant] 19

[User]
cole drove from home to work at an average speed of 75 kmh. he then returned home at an average speed of 105 kmh. if the round trip took a total of 1 hours, how many minutes did it take cole to drive to work?
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[Assistant] 35

[User]
sum of the squares of 3 no.'s is 179 and the sum of their products taken two at a time is 131. find the sum?
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[Assistant] 21


[User]
if 20 % of 30 is greater than 25 % of a number by 2, the number is :
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[Assistant] 16

[User]
how many positive integers less than 5000 are evenly divisible by neither 15 nor 23?
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[Assistant] 4,521

[User]
p alone can complete a job in 12 days. the work done by q alone in one day is equal to one - half of the work done by p alone in one day. in how many days can the work be completed if p and q work together?
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[Assistant] 8

[User]
suzie ’ s discount footwear sells all pairs of shoes for one price and all pairs of boots for another price. on monday the store sold 22 pairs of shoes and 16 pairs of boots for $ 460. on tuesday the store sold 8 pairs of shoes and 32 pairs of boots for $ 560. how much more do pairs of boots cost than pairs of shoes at suzie ’ s discount footwear?
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[Assistant] 15

[User]
if ( a + b ) = 4, ( b + c ) = 9 and ( c + d ) = 3, what is the value of ( a + d )?
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[Assistant] - 2


[User]
the difference between a 8 digit number and the number formed by reversing its digit is not a multiple of
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[Assistant] 5

[User]
a is two years older than b who is twice as old as c. if the total of the ages of a, b and c be 27, then how old is b?
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[Assistant] 10 years

[User]
15 51 216 1100? 46452
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[Assistant] 6630

[User]
if a * b denotes the greatest common divisor of a and b, then ( ( 12 * 15 ) * ( 18 * 24 ) ) =?
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[Assistant] 3

[User]
what annual installment will discharge a debt of rs. 1260 due in 3 years at 12 % simple interest?
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[Assistant] 375


[User]
a can do a job in 18 days and b can do it in 30 days. a and b working together will finish twice the amount of work in days?
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[Assistant] 22 ½ days

[User]
the cost of manufacturing a popular model car is made up of 3 items : cost of raw material, labour and overheads - in a year the cost of 3 items were in the ration of 4 : 3 : 2. next year the cost of the raw material rose by 10 %, labour cost increased by 8 % but overhead reduced by 5 %. then % increase int the price of the car?
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[Assistant] 6 %

[User]
two trains a and b starting from two points and travelling in opposite directions, reach their destinations 9 hours and 4 hours respectively after meeting each other. if the train a travels at 90 kmph, find the rate at which the train b runs.
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[Assistant] 135

[User]
a vessel of capacity 90 litres is fully filled with pure milk. nine litres of milk is removed from the vessel and replaced with water. nine litres of the solution thus formed is removed and replaced with water. find the quantity of pure milk in the final milk solution?
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[Assistant] 72.9

[User]
377 ÷ 13 ÷ 29 × 1 / 4 ÷ 2 =?
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[Assistant] 1 / 8


[User]
if x = 2 ^ 8 and x ^ x = 2 ^ k, what is k?
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[Assistant] 2 ^ 11

[User]
if 11.25 m of a uniform steel rod weighs 42.75 kg. what will be the weight of 6 m of the same rod?
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[Assistant] 22.8 kg

[User]
david obtained 70, 60, 78, 60 and 65 marks ( out of 100 ) in english, mathematics, physics, chemistry and biology what are his average marks?
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[Assistant] 66.6

[User]
a car drives 60 miles on local roads at 30 mph, and 65 miles on the highway at 65 mph, what is the average speed of the entire trip?
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[Assistant] 42 mph

[User]
set a consists of the integers from 4 to 15, inclusive, while set b consists of the integers from 7 to 20, inclusive. how many distinct integers do belong to the both sets at the same time?
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[Assistant] 9


[User]
the length of the bridge, which a train 120 metres long and travelling at 45 km / hr can cross in 30 seconds, is :
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[Assistant] 255

[User]
the length of a rectangle is halved while its width is also halved. what is the % change in area?
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[Assistant] 75 %

[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. 6600. what is the share of b?
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[Assistant] 1200

[User]
a reduction of 40 % in the price of apples would enable a man to obtain 64 more for rs. 40, what is reduced price per dozen?
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[Assistant] 3

[User]
a, b, c, d and e are 5 consecutive points on a straight line. if bc = 3 cd, de = 7, ab = 5 and ac = 11, what is the length of ae?
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[Assistant] 20


[User]
a tank contains 10,000 gallons of a solution that is 5 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] 7.14 %

[User]
if a : b : : 3 : 7, then what is ( 5 a + 6 b ) : ( a - 4 b )?
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[Assistant] - 57 : 25

[User]
of 3 numbers, the third is 4 times the second and the second is two times the first. if their average is 165, the second number of the 3 numbers is :
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[Assistant] 90

[User]
the side of a rhombus is 20 m and length of one of its diagonals is 16 m. the area of the rhombus is?
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[Assistant] 293.28

[User]
in a certain company, a third of the workers do not have a retirement plan. 20 % of the workers who do not have a retirement plan are women, and 50 % 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] 80


[User]
how many seconds will a train 70 meters long take to cross a bridge 80 meters long if the speed of the train is 36 kmph?
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[Assistant] 15 sec

[User]
for the past n days, the average ( arithmetic mean ) daily production at a company was 30 units. if today's production of 90 units raises the average to 35 units per day, what is the value of n?
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[Assistant] 3

[User]
how many unique positive odd integers less than 80 are equal to the product of a positive multiple of 5 and an odd number?
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[Assistant] 8

[User]
there were two candidates in an election. winner candidate received 70 % of votes and won the election by 280 votes. find the number of votes casted to the winning candidate?
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[Assistant] 490

[User]
add 16 % of 36 and 13 % of 45.
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[Assistant] 7.2