[User]
if sharon's weekly salary increased by 15 percent, she would earn $ 575 per week. if instead, her weekly salary were to decreased by 12 percent, how much would she earn per week?
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[Assistant] rs. 560

[User]
of the land owned by a farmer, 90 percent was cleared for planting. of the cleared land, 20 percent was planted with potato and 70 percent of the cleared land was planted with tomato. if the remaining 630 acres of cleared land was planted with corn, how many acres did the farmer own?
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[Assistant] 7000

[User]
a, band c can do a piece of work in 11 days, 20 days and 55 days respectively, working alone. how soon can the work be done if a is assisted by band c on alternate days?
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[Assistant] 8 days

[User]
a man buys an article for $ 10. and sells it for $ 30. find the gain percent?
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[Assistant] 300 %

[User]
a man buys 56 pens at marked price of 46 pens from a whole seller. if he sells these pens giving a discount of 1 %, what is the profit percent?
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[Assistant] 20.52 %


[User]
a train running at the speed of 58 km / hr crosses a pole in 9 seconds. find the length of the train?
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[Assistant] 145

[User]
what is the least common multiple of 812, 3214
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[Assistant] 672

[User]
a train with a length of 100 meters, is traveling at a speed of 72 km / hr. the train enters a tunnel 1.1 km long. how many minutes does it take the train to pass through the tunnel from the moment the front enters to the moment the rear emerges?
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[Assistant] 1.0

[User]
a student is ranked 13 th from right and 8 th from left. how many students are there in totality?
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[Assistant] 20

[User]
a train crosses a platform of 200 m in 20 sec, same train crosses another platform of length 350 m in 25 sec. then find the length of the train?
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[Assistant] 400 m


[User]
how many gallons of milk that is 10 percent butter - fat must be added to 8 gallons of milk that is 30 percent butterfat to obtain milk that is 20 percent butterfat?
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[Assistant] 8

[User]
8 + 8
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[Assistant] 16

[User]
on dividing a number by 357, we get 40 as remainder. on dividing the same number by 17, what will be the remainder?
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[Assistant] 6

[User]
in traveling from a dormitory to a certain city, a student went 1 / 5 of the way by foot, 2 / 3 of the way by bus, and the remaining 14 kilometers by car. what is the distance, in kilometers, from the dormitory to the city?
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[Assistant] 105

[User]
a certain protective additive increases from 30 days to 60 days the time between required maintenance checks on an industrial vehicle. by what percent is the time between maintenance checks increased by using the additive?
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[Assistant] 100 %


[User]
the present worth of rs. 1404 due in two equal half - yearly instalments at 8 % per annum. simple interest is :
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[Assistant] 1325

[User]
john bought a shirt on sale for 25 % off the original price and another 25 % off the discounted price. if the final price was $ 19, what was the price before the first discount?
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[Assistant] $ 33.77

[User]
sum of two numbers is 40. two times of the first exceeds by 5 from the three times of the other. then the numbers will be?
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[Assistant] 23, 17

[User]
a cab driver 5 days income was $ 600, $ 250, $ 450, $ 400, $ 800. then his average income is?
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[Assistant] $ 500

[User]
what is the units digit of ( 3 ^ 10 ) ( 4 ^ 13 )?
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[Assistant] 6


[User]
two trains of equal are running on parallel lines in the same direction at 52 km / hr and 36 km / hr. the faster train passes the slower train in 36 sec. the length of each train is?
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[Assistant] 80 m

[User]
a volume of 11780 l water is in a container of sphere. how many hemisphere of volume 4 l each will be required to transfer all the water into the small hemispheres?
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[Assistant] 2945

[User]
when magnified 1,000 times by an electron microscope, the image of a certain circular piece of tissue has a diameter of 0.2 centimeter. the actual diameter of the tissue, in centimeters, is
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[Assistant] 0.0002

[User]
two trains of length 210 m and 120 m are 160 m apart. they start moving towards each other on parallel tracks, at speeds 74 kmph and 92 kmph. after how much time will the trains meet?
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[Assistant] 35 / 10

[User]
a man can row 8 kmph in still water. when the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. what is the total distance traveled by the man?
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[Assistant] 7.96


[User]
after getting 2 successive discounts, a shirt with a list price of rs 150 is available at rs 105. if the second discount is 12.55, find the first discount
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[Assistant] 20 %

[User]
from a pack of 52 cards, two cards are drawn together at random. what is the probability of one is a spade and one is a heart?
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[Assistant] 13 / 102

[User]
10 is added to a certain number, the sum is multiplied by 2, the product is divided by 2 and 2 is subtracted from the quotient. the remainder left is half of 88. what is the number?
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[Assistant] 36

[User]
four dice are thrown simultaneously. find the probability that all of them show the same face.
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[Assistant] 1 / 216

[User]
when jessica withdrew $ 200 from her bank account, her account balance decreased by 2 / 5. if she deposits an amount equal to 1 / 2 of the remaining balance, what will be the final balance in her bank account?
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[Assistant] 450


[User]
the simple form of the ratio 8 / 5 : 2 / 3 is?
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[Assistant] 12 : 5

[User]
in measuring the sides of a rectangle, one side is taken 16 % in excess and other 5 % in deficit. find the error percentage in the area calculated from these measurements.
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[Assistant] 10.2 %

[User]
a can do a work in 6 days. b can do the same work in 8 days. both a & b together will finish the work and they got $ 1000 from that work. find their shares?
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[Assistant] 600,800

[User]
what is the sum of all the multiples of 12 between 30 and 200?
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[Assistant] 1632

[User]
what is the least number should be added to 1100, so the sum of the number is completely divisible by 23?
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[Assistant] 4


[User]
ritesh and co. generated revenue of rs. 1,250 in 2006. this was 12.5 % of its gross revenue. in 2007, the gross revenue grew by rs. 2,500. what is the percentage increase in the revenue in 2007?
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[Assistant] 25 %

[User]
if p ( a ) = 4 / 5 and p ( b ) = 2 / 5, find p ( a n b ) if a and b are independent events.
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[Assistant] 8 / 25

[User]
how many 4 digit numbers have no repeat digits, do not contain zero, and have a sum of digits f equal to 28?
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[Assistant] 48

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

[User]
find the principle on a certain sum of money at 5 % per annum for 3 1 / 5 years if the amount being rs. 580?
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[Assistant] rs. 500


[User]
of 300 surveyed students, 20 % of those who read book a also read book b and 50 % of those who read book b also read book a. if each student read at least one of the books, what is the difference between the number of students who read only book a and the number of students who read only book b?
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[Assistant] 150

[User]
a pet store holds cats and dogs. if the difference between the number of cats and the number of dogs is 3. what could be the ratio of cats to dogs in the pet store?
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[Assistant] 12 : 15

[User]
in one hour, a boat goes 13 km / hr along the stream and 9 km / hr against the stream. the speed of the boat in still water ( in km / hr ) is :
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[Assistant] 11 kmph

[User]
6 mat - weavers can weave 6 mats in 6 days. at the same rate, how many mats would be woven by 8 mat - weavers in 8 days?
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[Assistant] 10

[User]
if the cost price is 80 % of the selling price, then what is the profit percent?
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[Assistant] 25 %


[User]
dacid obtained 81, 65, 82, 67 and 85 marks ( out of 100 ) in english, mathematics, physics, chemistry and biology. what are his average marks?
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[Assistant] 76

[User]
he average of 30 numbers is zero. of them, at the most, how many may be greater than zero?
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[Assistant] 29

[User]
in a certain deck of cards, each card has a positive integer written on it, in a multiplication game a child draws a card and multiplies the integer on the card with the next large integer. if the each possible product is between 11 and 200, then the least and greatest integer on the card would be
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[Assistant] 3 and 15

[User]
a number when divided by 342 gives a remainder 47. when the same number if it divided by 19, what would be the remainder?
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[Assistant] 9

[User]
√ ( 36 ) ^ 2
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[Assistant] 36


[User]
double of quarter of 1 percent written as a decimal is :
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[Assistant] 0.005

[User]
15 men take 21 days of 8 hours each to do a piece of work. how many days of 6 hours each would 21 women take to do the same. if 3 women do as much work as 2 men?
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[Assistant] 30

[User]
the number 49 can be written as the sum of the squares of 3 different positive integers. what is the sum of these 3 integers?
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[Assistant] 11

[User]
he total marks obtained by a student in physics, chemistry and mathematics is 140 more than the marks obtained by him in physics. what is the average mark obtained by him in chemistry and mathematics?
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[Assistant] 70

[User]
4 men can check exam papers in 8 days working 5 hours regularly. what is the total hours when 2 men will check the double of the papers in 20 days?
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[Assistant] 8


[User]
the incomes of two persons a and b are in the ratio 3 : 4. if each saves rs. 100 per month, the ratio of their expenditures is 1 : 2. find their incomes?
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[Assistant] 150,200

[User]
a certain country is divided into 6 provinces. each province consists entirely of progressives and traditionalists. if each province contains the same number of traditionalists and the number of traditionalists in any given province is 1 / 9 the total number of progressives in the entire country, what fraction of the country is traditionalist?
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[Assistant] 3 / 5

[User]
a tradesman sold an article at a loss of 10 %. if the selling price had been increased by $ 50, there would have been a gain of 10 %. what was the cost price of the article?
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[Assistant] $ 250

[User]
the area of a square field 3136 sq m, if the length of cost of drawing barbed wire 3 m around the field at the rate of rs. 1.20 per meter. two gates of 1 m width each are to be left for entrance. what is the total cost?
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[Assistant] 799.2

[User]
in business, a and c invested amounts in the ratio 2 : 1, whereas the ratio between amounts invested by a and b was 2 : 3, if rs 15,0000 was their profit, how much amount did b receive.
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[Assistant] 75000


[User]
if f ( f ( n ) ) + f ( n ) = 2 n + 3, f ( 0 ) = 1 then f ( 2015 ) =?
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[Assistant] 2016

[User]
a pair of articles was bought for $ 810 at a discount of 10 %. what must be the marked price of each of the article?
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[Assistant] $ 450

[User]
a person crosses a 600 m long street in 5 minutes. what is his speed in km per hour?
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[Assistant] 7.2

[User]
if a and b are two events such that p ( a ) = 3 / 4, p ( b ) = 1 / 2 and p ( a n b ) = 3 / 8, find p ( not a and not b ).
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[Assistant] 1 / 8

[User]
when sourav increases his speed from 20 km / hr to 25 km / hr, he takes one hour less than the usual time to cover a certain distance. what is the distance usually covered by him?
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[Assistant] 100 km


[User]
what is the sum of all possible 3 - digit numbers that can be constructed using the digits 1, 3, and 4 if each digit can be used only once in each number?
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[Assistant] 1776

[User]
4000 was divided into two parts such a way that when first part was invested at 3 % and the second at 5 %, the whole annual interest from both the investments is rs. 144, how much was put at 3 %?
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[Assistant] rs. 2800

[User]
if 20 % of a number = 200, then 120 % of that number will be?
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[Assistant] 1200

[User]
solve the equation for x : 14 ( - x + z ) + 18 = - 14 ( x - z ) - 10
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[Assistant] 1

[User]
tea worth rs. 126 per kg and rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. if the mixture is worth rs. 153 per kg, the price of the third variety per kg will be :
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[Assistant] rs. 175.50


[User]
in an election between two candidates, one got 45 % of the total valid votes, 20 % of the votes were invalid. if the total number of votes was 2000, the number of valid votes that the other candidate got, was :
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[Assistant] 2200

[User]
if log 10 2 = 0.30103, find the value of log 10 50
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[Assistant] 1.69897

[User]
divide $ 672 among a, b in the ratio 5 : 3. how many $ that a get?
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[Assistant] $ 420

[User]
the ratio of ages of aman, bren, and charlie are in the ratio 5 : 8 : 7 respectively. if 5 years ago, the sum of their ages was 75, what will be the age of aman 10 years from now?
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[Assistant] 25

[User]
if 1 / 3 of the passengers on a ship are from north america, 1 / 8 are europeans, 1 / 5 are from africa, 1 / 6 are from asia and the remaining 42 people are citizens of other continents, then how many passengers are on board the ship?
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[Assistant] 240


[User]
a room of 5 m 44 cm long and 3 m 74 cm broad is to be paved with square tiles. find the least number of square tiles required to cover the floor.
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[Assistant] 176

[User]
average expenditure of a person for the first 3 days of a week is rs. 340 and for the next 4 days is rs. 420. average expenditure of the man for the whole week is :
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[Assistant] 380

[User]
if rs. 400 amount to rs. 540 in 4 years, what will it amount to in 6 years at the same rate % per annum?
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[Assistant] s. 610

[User]
whats the reminder when 879,548, 521,456, 258,759, 653,258, 778,455, 658,985 is divided by 4
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[Assistant] 1

[User]
400 metres long yard, 26 trees are palnted at equal distances, one tree being at each end of the yard. what is the distance between 2 consecutive trees
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[Assistant] 16


[User]
a car averages 30 miles per hour for the first 6 hours of a trip and averages 46 miles per hour for each additional hour of travel time. if the average speed for the entire trip is 34 miles per hour, how many hours long is the trip?
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[Assistant] 8

[User]
5 / 8 of the population of the country of venezia lives in montague province, while the rest lives in capulet province. in the upcoming election, 80 % of montague residents support romeo, while 70 % of capulet residents support juliet ; each resident of venezia supports exactly one of these two candidates. rounded if necessary to the nearest percent, the probability that a juliet supporter chosen at random resides in capulet is
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[Assistant] 68 %

[User]
a “ sophie germain ” prime is any positive prime number p for which 2 p + 1 is also prime. the product of all the possible units digits of sophie germain primes greater than 5 is
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[Assistant] 27

[User]
32 % of 5 / 8 =
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[Assistant] 0.2

[User]
in a mayoral election, candidate x received 1 / 2 more votes than candidate y, and candidate y received 2 / 5 fewer votes than z. if z received 25,000 votes how many votes did candidate x received?
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[Assistant] 22500


[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 / 4 of that total. what was the price of the basic computer?
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[Assistant] 1750

[User]
3 / [ ( 1 / 0.03 ) + ( 1 / 0.37 ) ] =?
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[Assistant] 0.08333

[User]
n ^ ( n / 2 ) = 6 is true when n = 6 in the same way what is the value of n if n ^ ( n / 2 ) = 9?
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[Assistant] 9

[User]
y and z are in a relay race. y runs the first leg of the course in 58 seconds. z runs the second leg of the course in 26 seconds. what was the average time they took to run a leg of the course?
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[Assistant] 42

[User]
a, b, and c are integers and a < b < c. s is the set of all integers from a to b, inclusive. q is the set of all integers from b to c, inclusive. the median of set s is ( 3 / 4 ) * b. the median of set q is ( 5 / 8 ) * c. if r is the set of all integers from a to c, inclusive, what fraction of c is the median of set r?
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[Assistant] 9 / 16


[User]
the mean of 30 values was 180. it was detected on rechecking that one value 155 was wrongly copied as 135 for the computation of the mean. find the correct mean.
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[Assistant] 180.67

[User]
a man took a loan at rate of 12 % per annum simple interest. after 3 years he had to pay 6480 interest. the principal amount borrowed by him was.
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[Assistant] rs 18000

[User]
how long will take a leak at the bottom of a tank to empty it if it will take 3 hours to fill it without the leak, but due to the leak it will take one additional hour to be filled?
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[Assistant] 12 hours

[User]
the security gate at a storage facility requires a 5 - digit lock code. if the lock code must consist only of digits from 1 through 7, inclusive, with no repeated digits, and the first and last digits of the code must be even, how many lock codes are possible?
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[Assistant] 360

[User]
if 5400 mn = k ^ 4, where m, n, and k are positive integers, what is the least possible value of 5 m + n?
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[Assistant] 65


[User]
the h. c. f. of two numbers is 59 and the other two factors of their l. c. m. are 13 and 16. the larger of the two numbers is :
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[Assistant] 944

[User]
0.012 x 0.5 =?
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[Assistant] 0.006

[User]
the rate of interest on a sum of money is 5 % p. a. for the first 3 years, 4 % p. a. for the next 4 years, and 5 % for the period beyond 7 years. if the s. i, occured on the sum for the total period of 8 years is rs. 540 / -, the sum is
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[Assistant] 1,500

[User]
a certain manufacturer produces items for which the production costs consist of annual fixed costs totaling $ 130,000 and variables costs averaging $ 10 per item. if the manufacturer ’ s selling price per item is $ 15, how many items the manufacturer produce and sell to earn an annual profit of $ 150,000?
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[Assistant] 56,000

[User]
the difference between simple and compound interest on rs. 1700 for one year at 10 % per annum reckoned half - yearly is?
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[Assistant] 4.25


[User]
two whole numbers whose sum is 24 is the ratio
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[Assistant] 1 : 3

[User]
vijay sells a cupboard at 16 % below cost price. had he got rs. 1800 more, he would have made a profit of 16 %. what is the cost price of the cupboard?
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[Assistant] 5625

[User]
if a : b = 4 : 7 and b : c = 5 : 9, then a : c =?
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[Assistant] 20 : 63

[User]
there are 7 red balls and 5 blue balls in a jar. if 3 balls are selected from the jar, what is the probability that 3 balls selected are red balls?
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[Assistant] 7 / 44

[User]
on the first of the year, james invested x dollars at proudstar bank in an account that yields 3 % in interest every quarter year. at the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. if james had invested the same amount in an account which pays interest on a yearly basis, what must the interest rate be for james to have y dollars at the end of the year?
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[Assistant] 12.5 %


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

[User]
a group of n students can be divided into equal groups of 4 with 1 student left over or equal groups of 7 with 2 students left over. what is the sum of the two smallest possible values of n?
Answer the question using a single word or phrase.

[Assistant] 46.

[User]
machine c takes 2 more hours than machine b to make 20 widgets. if working together, the machines can make 25 widgets in 3 hours, how long will it take machine c to make 40 widgets?
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[Assistant] 12

[User]
jim is able to sell a hand - carved statue for $ 670 which was a 25 % profit over his cost. how much did the statue originally cost him?
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[Assistant] $ 536.00

[User]
sandy had $ 224 left after spending 30 % of the money she took for shopping. how much money did sandy take along with her?
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[Assistant] $ 320


[User]
in the rectangular coordinate system, what is the x - intercept of a line passing through ( 10, 3 ) and ( − 6, − 5 )?
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[Assistant] 4

[User]
in what ratio p : q should the mixture p of milk and water in the ratio of 5 : 3 be mixed with another mixture q of milk and water in the ratio 1 : 3 so that the resultant mixture contains equal quantities of milk and water?
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[Assistant] 2 : 1

[User]
the ratio between the length and the breadth of a rectangular park is 5 : 3. if a man cycling along the boundary of the park at the speed of 12 km / hr completes one round in 8 min, then thearea of the park ( in sq. m ) is?
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[Assistant] 150000 m

[User]
three unbiased coins are tossed. what is the probability of getting all tails?
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[Assistant] 1 / 8

[User]
a person travels from p to q a speed of 80 km / hr and returns by increasing his speed by 10 %. what is his average speed for both the trips?
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[Assistant] 84


[User]
a tempo is insured to an extent of 4 / 5 of its original value. if the premium on it at the rate of 1.3 % amounts to $ 910, the original value of the tempo is?
Answer the question using a single word or phrase.

[Assistant] 87500

[User]
a flagpole 18 meters high casts a shadow of length 45 meters. if a building under similar conditions casts a shadow of length 60 meters, what is the height of the building ( in meters )?
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[Assistant] 24

[User]
fresh grapes contain 70 % water by weight and raisins obtained by drying fresh grapes contain 25 % water by weight. how many kgs of fresh grapes are needed to get 30 kgs of raisins?
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[Assistant] 75 kgs

[User]
in a class of 38 students, 2 students did not borrow any books from the library, 12 students each borrowed 1 book, 10 students each borrowed 2 books, and the rest borrowed at least 3 books. if the average number of books per student was 2, what is the maximum number of books any single student could have borrowed?
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[Assistant] 5

[User]
in a hostel there were 100 students. to accommodate 25 more students the average is decreased by some rupees. but total expenditure increased by rs. 500. if the total expenditure of the hostel now 8500, find decrease of average budget?
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[Assistant] 12


[User]
a bowl of fruit contains 14 apples and 20 oranges. how many oranges must be removed so that 70 % of the pieces of fruit in the bowl will be apples?
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[Assistant] 14

[User]
the area of a square field is 1225 km 2. how long will it take for a horse to run around at the speed of 20 km / h?
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[Assistant] 7 h

[User]
xavier starts from p towards q at a speed of 50 kmph and after every 12 mins increases his speed by 10 kmph. if the distance between p and q is 52 km, then how much time does he take to cover the distance?
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[Assistant] 48

[User]
a shopkeeper bought 600 oranges and 400 bananas. he found 15 % of oranges and 5 % of bananas were rotten. find the percentage of fruits in good condition?
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[Assistant] 89.0 %

[User]
on a 20 mile course, pat bicycled at an average rate of 30 miles per hour for the first 12 minutes and without a break, ran the rest of the distance at an average rate of 8 miles per hour. how many minutes did pat take to cover the entire course?
Answer the question using a single word or phrase.

[Assistant] 117


[User]
the sum of all the integers k such that – 25 < k < 24 is
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[Assistant] - 47

[User]
sonika deposited rs. 14500 which amounted to rs. 12200 after 3 years at simple interest. had the interest been 3 % more. she would get how much?
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[Assistant] 13505

[User]
the sale price sarees listed for rs. 298 after successive discount is 12 % and 15 % is?
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[Assistant] 223

[User]
3 friends a, b, c went for week end party to mcdonald ’ s restaurant and there they measure there weights in some order in 7 rounds. a, b, c, ab, bc, ac, abc. final round measure is 170 kg then find the average weight of all the 7 rounds?
Answer the question using a single word or phrase.

[Assistant] 97.1 kgs

[User]
a technician makes a round - trip to and from a certain service center by the same route. if the technician completes the drive to the center and then completes 20 percent of the drive from the center, what percent of the round - trip has the technician completed?
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[Assistant] 60


[User]
in digging a pond 28 m * 10 m * 5 m the volumes of the soil extracted will be?
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[Assistant] 1400

[User]
suppose you work for a manufacturing plant that pays you $ 12.50 an hour and $. 16 for each widget you make. how many widgets must you produce in a 40 hour week to earn $ 800 ( before payroll deductions )?
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[Assistant] 1875

[User]
the diameter of a cylindrical tin is 10 cm and height is 5 cm. find the volume of the cylinder?
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[Assistant] 125

[User]
if 8 spiders make 4 webs in 9 days, then how many days are needed for 1 spider to make 1 web?
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[Assistant] 18

[User]
if x ^ 2 + ( 1 / x ^ 2 ) = 9, x ^ 4 + ( 1 / x ^ 4 ) =?
Answer the question using a single word or phrase.

[Assistant] 79


[User]
two vessels contains equal number of mixtures milk and water in the ratio 7 : 2 and 8 : 1. both the mixtures are now mixed thoroughly. find the ratio of milk to water in the new mixture so obtained?
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[Assistant] 5 : 1

[User]
two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 12 kmph and 21 kmph respectively. when they meet, it is found that one train has traveled 60 km more than the other one. the distance between the two stations is?
Answer the question using a single word or phrase.

[Assistant] 396

[User]
a part of certain sum of money is invested at 9 % per annum and the rest at 12 % 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] 4 : 3

[User]
the hcf and lcm of two numbers m and n are respectively 6 and 210. if m + n = 58, then 1 / m + 1 / n is equal to
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[User]
a 30 kg metal bar made of alloy of tin and silver lost 3 kg of its weight in the water. 10 kg of tin loses 1.375 kg in the water ; 5 kg of silver loses 0.375 kg. what is the ratio of tin to silver in the bar?
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[Assistant] 2 / 3


[User]
all factors of a positive integer a are multiplied and the product obtained is a ^ 3. if a is greater than 1, how many factors does a have?
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[Assistant] 6

[User]
when 5 + 1 = 56, 6 + 1 = 67, 7 + 1 = 78, then 8 + 1 =?
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[Assistant] 89

[User]
express 22 mps in kmph?
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[Assistant] 79.2 kmph

[User]
for the past n days, the average ( arithmetic mean ) daily production at a company was 50 units. if today's production of 90 units raises the average to 58 units per day, what is the value of n?
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[Assistant] 4

[User]
the manager at a health foods store mixes a unique superfruit juice cocktail that costs $ 1399.45 per litre to make. the cocktail includes mixed fruit juice and a ç ai berry juice, which cost $ 262.85 per litre and $ 3104.35 per litre, respectively. the manager has already opened 32 litres of the mixed fruit juice. how many litres of the a ç ai berry juice does he need to add?
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[Assistant] 21.3 litres


[User]
the sum of the squares of 3 numbers is 241, while the sum of their products taken two at a time is 100. their sum is :
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[Assistant] 21

[User]
two goods trains each 720 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?
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[Assistant] 72 sec

[User]
if w / x = 1 / 6 and w / y = 1 / 5, then ( x + y ) / y =
Answer the question using a single word or phrase.

[Assistant] 11 / 5

[User]
35 liters of a mixture is created by mixing liquid p and liquid q in the ratio 4 : 3. how many liters of liquid q must be added to make the ratio 5 : 7?
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[Assistant] 13

[User]
a jar contains a mixture of ab in the ratio 4 : 1. when 20 l of mixture is replaced with liquid b, ratio becomes 2 : 3. how many liters of liquid a was present in mixture initially.
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[Assistant] 32


[User]
the avg age of an adult class is 40 years. 12 new students with an avg age of 32 years join the class. therefore decreasingthe avg by 4 year. find what was the original strength of class?
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[Assistant] 12

[User]
what distance will be covered by a bus moving at 108 kmph in 30 seconds?
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[Assistant] 900

[User]
vijay sells a cupboard at 12 % below cost price. had he got rs. 1500 more, he would have made a profit of 12 %. what is the cost price of the cupboard?
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[Assistant] 6250

[User]
if 20 men can build a wall 112 metres long in 6 days, what length of a similar wall can be built by 30 men in 3 days?
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[Assistant] 84 mtr

[User]
if the speed of a man is 57 km per hour, then what is the distance traveled by him in 30 seconds?
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[Assistant] 475 m


[User]
victor gets 90 % marks in examinations. if these are 405 marks, find the maximum marks.
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[Assistant] 450

[User]
there are 3 fictions and 6 non - fictions. how many cases are there such that 2 fictions and 2 non - fictions are selected from them?
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[Assistant] 45

[User]
when positive integer n is divided by positive integer j, the remainder is 16. if n / j = 134.08, what is value of j?
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[Assistant] 200

[User]
find the circumference and area of radius 13 cm.
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[Assistant] 531 cm ²

[User]
( 0.0048 ) ( 3.5 ) / ( 0.05 ) ( 0.1 ) ( 0.004 ) =
Answer the question using a single word or phrase.

[Assistant] 840


[User]
a batsman in his 17 th innings makes a score of 85, and thereby increases his average by 3. what is his average after the 17 th innings? he had never been ’ not out ’.
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[Assistant] 37

[User]
a snooker tournament charges $ 40.00 for vip seats and $ 15.00 for general admission ( “ regular ” seats ). on a certain night, a total of 300 tickets were sold, for a total cost of $ 7,500. how many fewer tickets were sold that night for vip seats than for general admission seats?
Answer the question using a single word or phrase.

[Assistant] 200

[User]
a hiker walked for 3 days. she walked 18 miles on the first day, walking 3 miles per hour. on the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. on the third day she walked the same number of hours as on the first day, but at the same speed as on the second day. how many miles in total did she walk?
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[Assistant] 62

[User]
sum of two numbers is 30. two times of the first exceeds by 10 from the three times of the other. then the numbers will be?
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[Assistant] 16, 14

[User]
a runner runs the 40 miles from marathon to athens at a constant speed. halfway through the run she injures her foot, and continues to run at half her previous speed. if the second half takes her 4 hours longer than the first half, how many hours did it take the runner to run the second half?
Answer the question using a single word or phrase.

[Assistant] 8


[User]
a man can do a job in 15 days. his father takes 20 days and his son finishes it in 25 days. how long will they take to complete the job if they all work together?
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[Assistant] 6.4 days

[User]
cricket match is conducted in us. the run rate of a cricket game was only 3.2 in first 10 over. what should be the run rate in the remaining 40 overs to reach the target of 272 runs?
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[Assistant] 6

[User]
two numbers are less than third number by 34 % and 37 % respectively. how much percent is the second number less than by the first
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[Assistant] 22 %

[User]
how many liters of a 40 % iodine solution need to be mixed with 35 liters of a 20 % iodine solution to create a 30 % iodine solution?
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[Assistant] 30.5

[User]
of the total amount that jill spent on a shopping trip, excluding taxes, she spent 50 percent on clothing, 20 percent on food, and 30 percent on other items. if jill paid a 5 percent tax on the clothing, no tax on the food, and an 10 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes?
Answer the question using a single word or phrase.

[Assistant] 5.5 %


[User]
in a certain warehouse, 70 percent of the packages weigh less than 75 pounds, and a total of 48 packages weigh less than 25 pounds. if 80 percent of the packages weigh at least 25 pounds, how many of the packages weigh at least 25 pounds but less than 75 pounds?
Answer the question using a single word or phrase.

[Assistant] 120

[User]
in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30. in the sport formulation, the ratio of flavoring to corn syrup is 3 times as great as in the standard formulation, and the ratio of flavoring to water is half that of the standard formulation. if a large bottle of the sport formulation contains 2 ounces of corn syrup, how many ounces of water does it contain?
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[Assistant] 30

[User]
a machine, working at a constant rate, manufactures 18 pens in 30 minutes. how many pens does it make in 1 hr 45 min?
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[Assistant] 63

[User]
a car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 225 kilometers per hour. at what speed, in kilometers per hour, is the car traveling?
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[Assistant] 200

[User]
if ( - 7 ) ^ ( 8 x ) = 7 ^ ( 12 - 5 x ) and x is an integer, what is the value of x?
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[Assistant] 1


[User]
a library branch originally contained 18360 volumes, 30 % of which were fiction novels. 1 / 4 of the volumes were transferred to another location and 1 / 3 of the volumes transferred were fiction novels. what percent of the remaining collection was fiction novels?
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[Assistant] 28.8 %

[User]
( 51 + 52 + 53 + … … … + 100 ) is equal to :
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[Assistant] 3775

[User]
the mean of 50 observations was 30. it was found later that an observation 48 was wrongly taken as 23. the corrected new mean is
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[Assistant] 30.5

[User]
a train running at the speed of 60 km / hr crosses a pole in 42 seconds. what is the length of the train?
Answer the question using a single word or phrase.

[Assistant] 700 metres

[User]
the average weight of 6 person's increases by 3.5 kg when a new person comes in place of one of them weighing 47 kg. what might be the weight of the new person?
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[Assistant] 68 kg


[User]
ajay can walk 6 km in 1 hour. in how many hours he can walk 70 km?
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[Assistant] 11.6 hrs

[User]
the speed of a boat in still water in 18 km / hr and the rate of current is 6 km / hr. the distance travelled downstream in 14 minutes is :
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[Assistant] 6.06 km

[User]
tea worth rs. 126 per kg are mixed with a third variety in the ratio 1 : 1 : 2. if the mixture is worth rs. 133 per kg, the price of the third variety per kg will be
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[Assistant] rs. 155.50

[User]
find the simple interest on rs. 71,000 at 16 2 / 3 % per year for 9 months.
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[Assistant] 8875

[User]
john makes $ 65 a week from his job. he earns a raise andnow makes $ 72 a week. what is the % increase?
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[Assistant] 10.76 %


[User]
if 20 men take 15 days to to complete a job, in how many days can 20 men finish that work?
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[Assistant] 15

[User]
a can do a piece of work 40 days. b can do work in 60 days. in how many days they will complete the work together?
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[Assistant] 24 days

[User]
a profit of rs. 800 is divided between x and y in the ratio of 1 / 2 : 1 / 3. what is the difference between their profit shares?
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[Assistant] s. 160

[User]
two trains are moving in opposite directions at 60 km / hr and 90 km / hr. their lengths are 1.50 km and 1.0 km respectively. the time taken by the slower train to cross the faster train in seconds is?
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[Assistant] 60

[User]
a book is bought for $ 60 and sold for $ 78. what is the profit in percentage?
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[Assistant] 30


[User]
a is a positive integer and multiple of 2 ; p = 4 ^ a, what is the remainder when p is divided by 10?
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[Assistant] 6

[User]
product of two natural numbers is 7. then, the sum of reciprocals of their squares is
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[Assistant] 50 / 49

[User]
in a fuel station the service costs $ 1.15 per car, every liter of fuel costs 0.4 $. assuming that you own 2 sports cars and 2 executive cars and all fuel tanks are empty. how much will it cost to fuel all cars together if a sports car tank is 32 liters and an executive car tank is 75 % bigger?
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[Assistant] 75 $

[User]
a, band c can do a piece of work in 11 days, 20 days and 67 days respectively, working alone. how soon can the work be done if a is assisted by band c on alternate days?
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[Assistant] 8.1 days

[User]
a telephone company needs to create a set of 3 - digit area codes. the company is entitled to use only digits 6, 4 and 3, which can be repeated. if the product of the digits in the area code must be even, how many different codes can be created?
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[Assistant] 26


[User]
in a rectangular axis system, what is the area of a parallelogram with the coordinates : ( 3,5 ), ( 9,5 ), ( 2,7 ), ( 8,7 )?
Answer the question using a single word or phrase.

[Assistant] 12.

[User]
find the c. i. on a sum of rs. 10000 for 6 months at 25 % per annum, interest being compounded quarterly?
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[Assistant] 1289

[User]
you collect pens. suppose you start out with 5. mike gives you another 20 pens. since her father makes pens, cindy decides to double your pens. since you're nice, you give sharon 10 pens. how many pens do you have at the end?
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[Assistant] 40

[User]
a sum of money at simple interest amounts to rs. 1560 in 4 years and to rs. 1590 in 6 years. the sum is :
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[Assistant] rs. 1500

[User]
a lady has fine gloves and hats in her closet - 18 blue, 32 red, and 25 yellow. the lights are out and it is totally dark. in spite of darkness, she can make out the difference between a hat and a glove. she takes out an item out of the closet only if she is sure that it is a glove. how many gloves must she take out to make sure she has a pair of each color?
Answer the question using a single word or phrase.

[Assistant] 60


[User]
of the total amount that jill spent on a shopping trip, excluding taxes, she spent 40 percent on clothing, 30 percent on food, and 30 percent on other items. if jill paid a 4 percent tax on the clothing, no tax on the food, and an 8 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes?
Answer the question using a single word or phrase.

[Assistant] 4 %

[User]
a student chose a number, multiplied it by 5, then subtracted 138 from the result and got 102. what was the number he chose?
Answer the question using a single word or phrase.

[Assistant] 48

[User]
in a class, 30 students pass in english and 20 students in maths, while some students among these pass in both. how many students do only english as compared to those doing only maths?
Answer the question using a single word or phrase.

[Assistant] indeterminate

[User]
if 31 / 198 = 0.1565, what is the 97 nd digit to the right of the decimal point of the fraction?
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[Assistant] 6

[User]
sally has a gold credit card with a certain spending limit, and a platinum card with twice the spending limit of the gold card. currently, she has a balance on her gold card that is 1 / 3 of the spending limit on that card, and she has a balance on her platinum card that is 1 / 8 of the spending limit on that card. if sally transfers the entire balance on her gold card to her platinum card, what portion of her limit on the platinum card will remain unspent?
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[Assistant] 17 / 24


[User]
robert spent $ 100 in buying raw materials, $ 125 in buying machinery and 10 % of the total amount he had as cash with him. what was the total amount?
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[Assistant] $ 250

[User]
a 12 % stock yields 8 %. the market value of the stock is :
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[Assistant] rs. 150

[User]
there is a square with sides of 13. what is the area of the biggest circle that can be cut out of this square?
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[Assistant] 132.73

[User]
how long does a train 130 m long running at the speed of 98 km / hr takes to cross a bridge 160 m length?
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[Assistant] 13.1 sec

[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. 5500. what is the share of b?
Answer the question using a single word or phrase.

[Assistant] 1000


[User]
if { x } is the product of all even integers from 1 to x inclusive, what is the greatest prime factor of { 14 } + { 12 }?
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[Assistant] 15

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

[User]
a metallic sheet is of rectangular shape with dimensions 48 m x 36 m. from each of its corners, a square is cut off so as to make an open box. if the length of the square is 7 m, the volume of the box ( in m 3 ) is :
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[Assistant] 5236

[User]
if the price of a certain computer increased 30 percent from d dollars to 351 dollars, then 2 d =
Answer the question using a single word or phrase.

[Assistant] 540

[User]
a certain number of men can do a work in 54 days. if there were 6 men more it could be finished in 6 days less. how many men were there in the beginning?
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[Assistant] 48


[User]
in traveling from a dormitory to a certain city, a student went 1 / 2 of the way by foot, 3 / 5 of the way by bus, and the remaining 4 kilometers by car. what is the distance, in kilometers, from the dormitory to the city?
Answer the question using a single word or phrase.

[Assistant] 20

[User]
a small pool filled only with water will require an additional 500 gallons of water in order to be filled to 80 % of its capacity. if pumping in these additional 500 gallons of water will increase the amount of water in the pool by 30 %, what is the total capacity of the pool in gallons?
Answer the question using a single word or phrase.

[Assistant] 1875

[User]
a certain bag contains 60 balls — 22 white, 18 green, 17 yellow, 3 red, and 1 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] 0.95

[User]
if a speaks the truth 40 % of the times, b speaks the truth 20 % of the times. what is the probability that at least one will tell the truth
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[Assistant] 0.52

[User]
find the number of zeroes in 58! ( 58 factorial )
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[Assistant] 13


[User]
find the cost of fencing around a circular field of diameter 36 m at the rate of rs. 3.50 a meter?
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[Assistant] 395

[User]
a number when divided by 342 gives a remainder 47. when the same number ift divided by 19, what would be the remainder?
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[Assistant] 9

[User]
which is the least number that must be subtracted from 1100 so that the remainder when divided by 7, 12, 16 is 4?
Answer the question using a single word or phrase.

[Assistant] 88

[User]
two integers are in the ratio of 1 to 4. if 12 is added to the smaller number, the ratio becomes 1 to 1. find the larger integer.
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[Assistant] 16

[User]
the salaries of a and b together amount to $ 4000. a spends 95 % of his salary and b, 85 % of his. if now, their savings are the same, what is a's salary?
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[Assistant] $ 3000


[User]
1 / 2 + [ ( 2 / 3 * 3 / 8 ) + 4 ] - 8 / 16 =
Answer the question using a single word or phrase.

[Assistant] 17 / 4

[User]
michelle deposited a certain sum of money in a savings account on july 1 st, 2007. she earns an 6 % interest compounded semiannually. the sum of money in the account on december 31 st, 2009 is approximately what percent of the initial deposit?
Answer the question using a single word or phrase.

[Assistant] 117 %

[User]
a company producing fruit juice changed its packaging from boxes measuring 5 x 10 x 20 centimeters to boxes measuring 6 x 10 x 20 centimeters. if the price of a box did not change and all boxes are full of juice, by approximately what percent did the price of the juice decrease?
Answer the question using a single word or phrase.

[Assistant] 16.67 %

[User]
if $ 5,000 is invested in an account at a simple annual rate of r percent, the interest is $ 250. when $ 19,000 is invested at the same interest rate, what is the interest from the investment?
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[Assistant] $ 950

[User]
a man can row 4.2 km / hr in still water. it takes him twice as long to row upstream as to row downstream. what is the rate of the current?
Answer the question using a single word or phrase.

[Assistant] 1.4


[User]
divide rs. 116000 among 3 persons a, b and c such that the ratio of the shares of a and b is 3 : 4 and that of b : c is 5 : 6. find the share of a?
Answer the question using a single word or phrase.

[Assistant] 29491

[User]
in a certain corporation, there are 300 male employees and 150 female employees. it is known that 40 % of the male employees have advanced degrees and 40 % of the females have advanced degrees. if one of the 450 employees is chosen at random, what is the probability this employee has an advanced degree or is female?
Answer the question using a single word or phrase.

[Assistant] 3 / 5

[User]
in a park there are two ponds with both brown ducks and green ducks. in the smaller pond there are 20 ducks and in the larger pond there are 80 ducks. if 20 % of the ducks in the smaller pond are green and 15 % of the ducks in the larger pond are green, then what percentage of ducks are green?
Answer the question using a single word or phrase.

[Assistant] 16 %

[User]
if two projectiles are launched at the same moment from 1386 km apart and travel directly towards each other at 445 km per hour and 545 km per hour respectively, how many minutes will it take for them to meet?
Answer the question using a single word or phrase.

[Assistant] 84

[User]
find the average of all the numbers between 11 and 21 which are divisible by 2.
Answer the question using a single word or phrase.

[Assistant] 16


[User]
a train speeds past a pole in 15 sec and a platform 140 m long in 25 sec, its length is?
Answer the question using a single word or phrase.

[Assistant] 210

[User]
a shopkeeper sells 20 % of his stock at 10 % profit ans sells the remaining at a loss of 5 %. he incurred an overall loss of rs. 400. find the total worth of the stock?
Answer the question using a single word or phrase.

[Assistant] rs. 20000

[User]
the events a and b are independent, the probability that event a occurs is greater than 0, and the probability that event a occurs is twice the probability that event b occurs. the probability that at least one of events a and b occurs is 12 times the probability that both events a and b occur. what is the probability that event a occurs?
Answer the question using a single word or phrase.

[Assistant] 6 / 26

[User]
a snooker tournament charges $ 40.00 for vip seats and $ 15.00 for general admission ( “ regular ” seats ). on a certain night, a total of 320 tickets were sold, for a total cost of $ 7,500. how many fewer tickets were sold that night for vip seats than for general admission seats?
Answer the question using a single word or phrase.

[Assistant] 212

[User]
a sum of money is to be divided among ann, bob and chloe. first, ann receives $ 4 plus one - half of what remains. next, bob receives $ 4 plus one - third of what remains. finally, chloe receives the remaining $ 32. how much money r did bob receive?
Answer the question using a single word or phrase.

[Assistant] 22


[User]
a ’ s speed is 20 / 12 times that of b. if a and b run a race, what part of the length of the race should a give b as a head start, so that the race ends in a dead heat?
Answer the question using a single word or phrase.

[Assistant] 6 / 20

[User]
a train speeds past a pole in 15 seconds and a platform 130 meters long in 25 seconds. what is the length of the train ( in meters )?
Answer the question using a single word or phrase.

[Assistant] 195

[User]
calculate the time it will take for a full tank to become completely empty due to a leak given that the tank could be filled in 7 hours, but due to the leak in its bottom it takes 8 hours to be filled?
Answer the question using a single word or phrase.

[Assistant] 56 hours

[User]
a is 2 times as fast as b. a alone can do the work in 20 days. if a and b working together in how many days will the work be completed?
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[Assistant] 13

[User]
company s produces two kinds of stereos : basic and deluxe. of the stereos produced by company s last month, 2 / 3 were basic and the rest were deluxe. if it takes 1.2 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos?
Answer the question using a single word or phrase.

[Assistant] 3 / 8


[User]
397 x 397 + 104 x 104 + 2 x 400 x 104 = x?
Answer the question using a single word or phrase.

[Assistant] 251501

[User]
the events a and b are independent, the probability that event a occurs is greater than 0, and the probability that event a occurs is twice the probability that event b occurs. the probability that at least one of events a and b occurs is 3 times the probability that both events a and b occur. what is the probability that event a occurs?
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[Assistant] 3 / 4

[User]
john goes to his office by car at a speed of 40 kmph and reaches 8 minutes earlier. if he goes at a speed of 30 kmph, he reaches 4 mins late. what is the distance from his house to office?
Answer the question using a single word or phrase.

[Assistant] 24 km

[User]
a certain list consists of 11 different numbers. if n is in the list and n is 5 times the average ( arithmetic mean ) of the other 10 numbers in the list, then n is what fraction of the sum of the 11 numbers in the list?
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[Assistant] 1 / 3

[User]
compound interest of rs. 4000 at 10 % per annum for 1 1 / 2 years will be ( interest compounded half yearly ).
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[Assistant] rs. 630


[User]
find the length of the longest pole that can be placed in an indoor stadium 24 m long, 18 m wide and 16 m high
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[Assistant] 34

[User]
one hour before john started walking from p to q, a distance of 13 miles, ann had started walking along the same road from q to p. ann walked at a constant speed of 3 miles per hour and john at 2 miles per hour. how many miles had ann walked when they met?
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[Assistant] 9 miles

[User]
sheela deposits rs. 3800 in bank savings account. if this is 22 % of her monthly income. what is her monthly income in?
Answer the question using a single word or phrase.

[Assistant] 17272

[User]
one pipe can fill a pool 1.5 times faster than a second pipe. when both pipes are opened, they fill the pool in four hours. how long would it take to fill the pool if only the slower pipe is used?
Answer the question using a single word or phrase.

[Assistant] 10

[User]
3 photographers, lisa, mike and norm, take photos of a wedding. the total of lisa and mikes photos is 60 less than the sum of mike's and norms. if norms photos number 10 more than twice the number of lisa's photos, then how many photos did norm take?
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[Assistant] 110


[User]
the time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. if the speed of the boat in still water is 39 kmph, find the speed of the stream?
Answer the question using a single word or phrase.

[Assistant] 13 kmph

[User]
in measuring the sides of a rectangle, one side is taken 7 % in excess, and the other 6 % in deficit. find the error percent in the area calculated from these measurements.
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[Assistant] 0.58 %

[User]
the average age of a group of 10 students is 14 years. if 5 more students join the group, the average age rises by 1 year. the average age of the new students is :
Answer the question using a single word or phrase.

[Assistant] 17

[User]
average expenditure of a person for the first 3 days of a week is rs. 310 and for the next 4 days is rs. 420. average expenditure of the man for the whole week is :
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[Assistant] 350

[User]
if the perimeter of a rectangular garden is 800 m, its length when its breadth is 100 m is?
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[Assistant] 300 m


[User]
two equal sums of money were invested, one at 4 % and the other at 4.5 %. at the end of 7 years, the simple interest received from the latter exceeded to that received from the former by 31.50. each sum was :
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[Assistant] 900

[User]
shekar scored 76, 65, 82, 67 and 75 marks in mathematics, science, social studies, english and biology respectively. what are his average marks?
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[Assistant] 73

[User]
tickets for all but 100 seats in a 10000 - seat stadium were sold. of the tickets sold, 30 % were sold at half price and the remaining tickets were sold at the full price of $ 2. what was the total revenue from ticket sales?
Answer the question using a single word or phrase.

[Assistant] $ 16,830

[User]
a and b started a business investing rs. 10,000 and rs 20,000 respectively. in what ratio the profit earned after 2 years be divided between a and b respectively?
Answer the question using a single word or phrase.

[Assistant] 1 : 2

[User]
rs. 6000 is lent out in two parts. one part is lent at 7 % p. a simple interest and the other is lent at 9 % p. a simple interest. the total interest at the end of one year was rs. 450. find the ratio of the amounts lent at the lower rate and higher rate of interest?
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[Assistant] 9 : 3


[User]
if the cost price is 40 % of selling price. then what is the profit percent.
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[Assistant] 150 %

[User]
when positive integer x is divided by positive integer y, the remainder is 12. if x / y = 75.12, what is the value of y?
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[Assistant] 100

[User]
the cost to park a car in a certain parking garage is $ 20.00 for up to 2 hours of parking and $ 1.75 for each hour in excess of 2 hours. what is the average ( arithmetic mean ) cost per hour to park a car in the parking garage for 9 hours?
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[Assistant] $ 3.58

[User]
the unit digit in the product ( 611 * 704 * 912 * 261 ) is :
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[Assistant] 2

[User]
two trains are moving in opposite directions with speed of 150 km / hr and 90 km / hr respectively. their lengths are 1.10 km and 0.9 km respectively. the slower train cross the faster train in - - - seconds
Answer the question using a single word or phrase.

[Assistant] 30


[User]
a train 60 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] 3

[User]
if the sum and difference of two numbers are 20 and 10 respectively, then the difference of their square is :
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[Assistant] 200

[User]
a 340 - liter solution of kola is made from 75 % water, 5 % concentrated kola and the rest is made from sugar. if 3.2 liters of sugar, 12 liter of water and 6.8 liters of concentrated kola were added to the solution, what percent of the solution is made from sugar?
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[Assistant] 19.6 %.

[User]
the average mark of the students of a class in a particular exam is 90. if 2 students whose average mark in that exam is 45 are excluded, the average mark of the remaining will be 95. find the number of students who wrote the exam?
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[Assistant] 20

[User]
a, b and c invest in the ratio of 3 : 4 : 5. the percentage of return on their investments are in the ratio of 6 : 5 : 4. find the total earnings, if b earns rs. 250 more than a :
Answer the question using a single word or phrase.

[Assistant] 7250


[User]
when positive integer n is divided by 3, the remainder is 1. when n is divided by 11, the remainder is 9. what is the smallest positive integer k such that k + n is a multiple of 33?
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[Assistant] 2

[User]
a copy machine, working at a constant rate, makes 35 copies per minute. a second copy machine, working at a constant rate, makes 75 copies per minute. working together at their respective rates, how many copies do the two machines make in half an hour?
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[Assistant] 3,300

[User]
the lenght of a room is 5.5 m and width is 4 m. find the cost of paving the floor by slabs at the rate of rs. 750 per sq. metre.
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[Assistant] s. 16,500

[User]
a dishonest dealer professes to sell goods at the cost price but uses a weight of 950 grams per kg, what is his percent?
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[Assistant] 5.26 %

[User]
find the compound interest on rs. 25000 in 2 years at 4 % per annum. the interest being compounded half yearly.
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[Assistant] rs 2060.804


[User]
ravi covers a distance of 900 mtrs in 180 secs. find his speed in kmph?
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[Assistant] 18 kmph

[User]
find the value of x from the below equation? : 3 x ^ 2 - 5 x + 2 = 0
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[Assistant] 2 / 3

[User]
n ^ ( n / 2 ) = 4 is true when n = 4 in the same way what is the value of n if n ^ ( n / 2 ) = 8?
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[Assistant] 8

[User]
if n = 2 ^ 0.25 and n ^ b = 8, b must equal
Answer the question using a single word or phrase.

[Assistant] 12

[User]
[ ( 3.242 x 15 ) / 100 ] =?
Answer the question using a single word or phrase.

[Assistant] 0.04863


[User]
there are 41 students in a class, number of girls is one more than number of guys. we need to form a team of 4 students. all 4 in the team can not be from same gender. number of girls and guys in the team should not be equal. how many ways can such a team be made?
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[Assistant] 50540 ways

[User]
find the total number of prime factors in the expression ( 4 ) ^ 11 x ( 7 ) ^ 5 x ( 11 ) ^ 2
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[Assistant] 29

[User]
pipe p can drain the liquid from a tank in 3 / 4 the time that it takes pipe q to drain it and in 3 / 3 the time that it takes pipe r to do it. if all 3 pipes operating simultaneously but independently are used to drain liquid from the tank, then pipe q drains what portion of the liquid from the tank?
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[Assistant] 3 / 11

[User]
xavier starts from p towards q at a speed of 40 kmph and after every 12 mins increases his speed by 20 kmph. if the distance between p and q is 56 km, then how much time does he take to cover the distance?
Answer the question using a single word or phrase.

[Assistant] 48

[User]
in the next cricket world cup t - 20, team w has decided to score 200 runs only through 4 s and 6 s. in how many ways can the team w score these 200 runs?
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[Assistant] 17


[User]
in a class of 50 students, 12 enrolled for both english and german. 22 enrolled for german. if the students of the class enrolled for at least one of the two subjects, then how many students enrolled for only english and not german?
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[Assistant] 28

[User]
the perimeter of a triangle is 20 cm and the inradius of the triangle is 3 cm. what is the area of the triangle?
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[Assistant] 30

[User]
a train 130 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
Answer the question using a single word or phrase.

[Assistant] 72 kmph

[User]
two pipes can fill a tank in 30 minutes and 20 minutes. an outlet pipe can empty the tank in 15 minutes. if all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank?
Answer the question using a single word or phrase.

[Assistant] 60

[User]
a barrel full of beer has 2 taps one midway,, which draw a litre in 6 minutes and the other at the bottom, which draws a litre in 4 minutes. the lower tap is lower normally used after the level of beer in the barrel is lower than midway. the capacity of the barrel is 36 litres. a new assistant opens the lower tap when the barrel is full and draws out some beer. as a result the lower tap has been used 24 minutes before the usual time. for how long was the beer drawn out by the new assistant?
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[Assistant] 16 minutes


[User]
xy = 1 then what is ( 6 ^ ( x + y ) ^ 2 ) / ( 6 ^ ( x - y ) ^ 2 )
Answer the question using a single word or phrase.

[Assistant] 1296

[User]
reena took a loan of $. 1200 with simple interest for as many years as the rate of interest. if she paid $ 192 as interest at the end of the loan period, what was the rate of interest?
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[Assistant] 4

[User]
√ ( 25 ) ^ 2
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[Assistant] 25

[User]
x can finish a work in 15 days. y can finish the same work in 20 days. y worked for 12 days and left the job. how many days does x alone need to finish the remaining work?
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[Assistant] 5

[User]
the average of first 18 natural numbers is?
Answer the question using a single word or phrase.

[Assistant] 9.5


[User]
what is the sum of 20 consecutive integers from - 9 inclusive, in a increasing order?
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[Assistant] 10

[User]
if log 1087.5 = 2.9421, then the number of digits in ( 875 ) 10 is?
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[Assistant] 40

[User]
annie and sam set out together on bicycles traveling at 15 and 12 km per hour respectively. after 40 minutes, annie stops to fix a flat tire. if it takes annie 20 minutes to fix the flat tire and sam continues to ride during this time, how many minutes will it take annie to catch up with sam assuming that annie resumes riding at 15 km per hour?
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[Assistant] 40

[User]
last year the range of the annual yield on equal amount of investments in 100 mutual funds was $ 10000. if the annual yield this year for each of the 100 mutual funds has improved by 15 percent this year than it was last year, what is the range of the annual yield on mutual funds this year?
Answer the question using a single word or phrase.

[Assistant] $ 11500

[User]
a customer purchased a package of ground beef at a cost of $ 1.80 per pound. for the same amount of money, the customer could have purchased a piece of steak that weighed 25 percent less than the package of ground beef. what was the cost per pound of the steak?
Answer the question using a single word or phrase.

[Assistant] $ 2.40


[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 100 kmph, find the rate at which the train b runs.
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[Assistant] 150

[User]
a soft drink company had 6000 small and 15000 big bottles in storage. if 12 % of small 14 % of big bottles have been sold, then the total bottles remaining in storage is
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[Assistant] 18180

[User]
in a box of 10 pencils, a total of 2 are defective. if a customer buys 3 pencils selected at random from the box, what is the probability that neither pencils will be defective?
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[Assistant] 7 / 15

[User]
company workers decided to raise rs. 3 lakhs by equal contribution from each. had they contributed rs. 50 each extra, the contribution would have been rs. 3.25 lakhs. how many workers were they?
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[Assistant] 500

[User]
each of the positive integers a and c is a 4 - digit integer. if each of the digits 0 through 9 appears in one of these 3 integers, what is the maximum possible value of the sum of a and c?
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[Assistant] 18395


[User]
if c is 25 % of a and 10 % of b, what percent of a is b?
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[Assistant] 250 %

[User]
car x began traveling at an average speed of 35 miles per hour. after 72 minutes, car y began traveling at an average speed of 40 miles per hour. when both cars had traveled the same distance, both cars stopped. how many miles did car x travel from the time car y began traveling until both cars stopped?
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[Assistant] 294

[User]
what is the ratio between perimeters of two squares one having 2.5 times the diagonal then the other?
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[Assistant] 2.5 : 1

[User]
a number when divided by 899 gives a remainder 63. what remainder will be obtained by dividing the same number by 29
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[Assistant] 5

[User]
a and b can do a piece of work in 10 days, while b and c can do the same work in 15 days and c and a in 25 days. they started working together, after 4 days a left. after another 4 days b left. in how many days c can finish the remaining work?
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[Assistant] 96


[User]
17 men take 21 days of 8 hours each to do a piece of work. how many days of 6 hours each would 21 women take to do the same. if 3 women do as much work as 2 men?
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[Assistant] 34

[User]
if xy = 9, x / y = 36, for positive numbers x and y, y =?
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[Assistant] 1 / 2

[User]
in one year, the population, of a village increased by 20 % and in the next year, it decreased by 20 %. if at the end of 2 nd year, the population was 9600, what was it in the beginning?
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[Assistant] 10000

[User]
two numbers are in the ratio of 15 : 11. if their h. c. f. is 13, find the numbers.
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[Assistant] 195,143

[User]
a bag contains 7 red, 5 blue and 4 green balls. if 2 ballsare picked at random, what is the probability that both are red?
Answer the question using a single word or phrase.

[Assistant] 7 / 40


[User]
a boat can travel with a speed of 22 km / hr in still water. if the speed of the stream is 5 km / hr, find the time taken by the boat to go 216 km downstream
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[Assistant] 8 hours

[User]
a certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996. if total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio w of revenue from car sales in 1996 to revenue from truck sales in 1996?
Answer the question using a single word or phrase.

[Assistant] 1 : 2

[User]
in 1979 approximately 1 / 3 of the 37.3 million airline passengers traveling to or from the united states used kennedy airport. if the number of such passengers that used miami airport was 1 / 2 the number that used kennedy airport and 5 times the number that used logan airport, approximately how many millions of these passengers used logan airport that year?
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[Assistant] 1.2

[User]
the average of 5 numbers is 6.8. if one of the numbers is multiplied by a factor of 3, the average of the numbers increases to 12.8. what number is multiplied by 3?
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[Assistant] 15.0

[User]
in covering a distance of 18 km, abhay takes 2 hours more than sameer. if abhay doubles his speed, then he would take 1 hour less than sameer. abhay's speed is :
Answer the question using a single word or phrase.

[Assistant] 3 kmph


[User]
a portion of the 50 % solution of chemicals was replaced with an equal amount of 60 % solution of chemicals. as a result, 55 % solution of chemicals resulted. what part of the original solution was replaced?
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[Assistant] 1 / 2

[User]
ram get 450 marks in his exam which is 90 % of total marks. what is the total marks?
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[Assistant] 500

[User]
all the faces of a cube are painted with blue colour. then it is cut into 125 small equal cubes. how many small cubes will be formed having only one face coloured?
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[Assistant] 54

[User]
in a certain country 1 / 7 of 8 = 5. assuming the same proportion, what would be the value of 1 / 5 of 40?
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[Assistant] 35

[User]
mr. kramer, the losing candidate in a two - candidate election, received 942,568 votes, which was exactly 30 percent of all votes cast. approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast?
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[Assistant] 29 %


[User]
if f ( x ) = x ^ 4 - 4 x ^ 3 - 2 x ^ 2 + 5 x, then f ( - 1 ) =
Answer the question using a single word or phrase.

[Assistant] - 2

[User]
in the junior basketball league there are 18 teams, 2 / 3 of them are bad and ½ are rich. what ca n't be the number of teams that are rich and bad?
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[Assistant] 10

[User]
working alone, john finishes cleaning half the house in a third of the time it takes nick to clean the entire house alone. john alone cleans the entire house in 6 hours. how many hours will it take nick and john to clean the entire house if they work together?
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[Assistant] 3.6

[User]
the radius of a cylinder is 2 r units and height is 3 r units. find the curved surface?
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[Assistant] 12 π r 2

[User]
on the richter scale, which measures the total amount of energy released during an earthquake, a reading of x - 1 indicates one - tenth the released energy as is indicated by a reading of x. on that scale, the frequency corresponding to a reading of 7 is how many times as great as the frequency corresponding to a reading of 5?
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[Assistant] 10 ^ 2


[User]
the total of 344 of 20 paise and 25 paise make a sum of rs. 71. the no of 20 paise coins is
Answer the question using a single word or phrase.

[Assistant] 300

[User]
a man buys a cycle for rs. 800 and sells it at a loss of 15 %. what is the selling price of the cycle?
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[Assistant] s. 680

[User]
a math teacher has 26 cards, each of which is in the shape of a geometric figure. half of the cards are rectangles, and a third of the cards are rhombuses. if 8 cards are squares, what is the maximum possible number of cards that re circles.
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[Assistant] 9

[User]
if a * b * c = ( √ ( a + 2 ) ( b + 3 ) ) / ( c + 1 ), find the value of 6 * 15 * 7.
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[Assistant] 1.5

[User]
if 3 x = 6 y = z, what is x + y, in terms of z?
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[Assistant] z / 2


[User]
a salesman ’ s terms were changed from a flat commission of 5 % on all his sales to a fixed salary of rs. 1400 plus 2.5 % commission on all sales exceeding rs. 4,000. if his remuneration as per new scheme was rs. 600 more than that by the previous schema, his sales were worth?
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[Assistant] 20000

[User]
how many bricks each measuring 21 cm x 10 cm x 8 cm, will be needed to build a wall 9 m x 5 m x 18.5 m
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[Assistant] 4955

[User]
at what price must an article costing rs. 47.50 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] 62.5

[User]
during a certain two - week period, 64 percent of the movies rented from a video store were comedies, and of the remaining movies rented, there were 5 times as many dramas as action movies. if no other movies were rented during that two - week period and there were a action movies rented, then how many comedies, in terms of a, were rented during that two - week period?
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[Assistant] 10 a

[User]
find the greatest 4 digit number which leaves respective remainders of 2 and 5 when divided by 15 and 24. a. 9974
Answer the question using a single word or phrase.

[Assistant] 281


[User]
p has $ 35 more than what q and r together would have had if both b and c had 1 / 7 of what p has. how much does p have?
Answer the question using a single word or phrase.

[Assistant] $ 49

[User]
a can do a work in 20 days and b in 30 days. if they work on it together for 4 days, then the fraction of the work that is left is :
Answer the question using a single word or phrase.

[Assistant] 2 / 3

[User]
3 candidates in an election and received 1136, 7636 and 10628 votes respectively. what % of the total votes did the winning candidate gotin that election?
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[Assistant] 54.8 %

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

[Assistant] 124

[User]
if albert ’ s monthly earnings rise by 27 %, he would earn $ 567. if, instead, his earnings rise by only 26 %, how much ( in $ ) would he earn this month?
Answer the question using a single word or phrase.

[Assistant] 562


[User]
indu gave bindu rs. 1250 on compound interest for 2 years at 4 % per annum. how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest?
Answer the question using a single word or phrase.

[Assistant] 2

[User]
when n is divided by 24, the remainder is 4. what is the remainder when 4 n is divided by 8?
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[Assistant] 0

[User]
tom and linda stand at point a. linda begins to walk in a straight line away from tom at a constant rate of 3 miles per hour. one hour later, tom begins to jog in a straight line in the exact opposite direction at a constant rate of 8 miles per hour. if both tom and linda travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes tom to cover half of the distance that linda has covered and the amount of time it takes tom to cover twice the distance that linda has covered?
Answer the question using a single word or phrase.

[Assistant] 96

[User]
35 - [ 23 - { 15 - x } ] = 12 × 2 ÷ 1 / 2
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[Assistant] 32

[User]
amar takes as much time in running 18 meters as a car takes in covering 48 meters. what will be the distance covered by amar during the time the car covers 1.2 km?
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[Assistant] 300 m


[User]
if n is an integer, f ( n ) = f ( n - 1 ) - n and f ( 4 ) = 20. what is the value of f ( 6 )?
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[Assistant] 9

[User]
what is the remainder when 14,453 × 15,654 × 16,788 is divided by 5?
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[Assistant] 1

[User]
a thief goes away with a santro car at a speed of 40 kmph. the theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start?
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[Assistant] 20 hours

[User]
what is the smallest 5 digit number that is divisible by 15, 32, 45, and 54?
Answer the question using a single word or phrase.

[Assistant] 12960

[User]
excluding stoppages, the average speed of a bus is 60 km / hr and including stoppages, the average speed of the bus is 45 km / hr. for how many minutes does the bus stop per hour?
Answer the question using a single word or phrase.

[Assistant] 15


[User]
working together, wayne and his son can shovel the entire driveway in three hours. if wayne can shovel five times as fast as his son can, how many hours would it take for his son to shovel the entire driveway on his own?
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[Assistant] 6

[User]
the diagonal of a rhombus are 80 m and 120 m. its area is :
Answer the question using a single word or phrase.

[Assistant] 4800

[User]
3 bodies x, y and z start moving around a circular track of length 960 m from the same point simultaneously in the same direction at speeds of 12 m / s, 20 m / s and 36 m / s respectively. when will they meet for the first time after they started moving?
Answer the question using a single word or phrase.

[Assistant] 120 seconds

[User]
a part of certain sum of money is invested at 10 % per annum and the rest at 12 % per annum, if the interest earned in each case for the same period is equal, then ratio of the sums invested is?
Answer the question using a single word or phrase.

[Assistant] 6 : 5

[User]
kelly and chris are moving into a new city. both of them love books and thus packed several boxes with books. if chris packed 60 % of the total number of boxes, what was the ratio of the number of boxes kelly packed to the number of boxes chris packed?
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[Assistant] 2 / 3


[User]
there are 6 more women than there are men on a local co - ed softball team. if there are a total of 24 players on the team, what is the ratio of men to women?
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[Assistant] 9 / 15

[User]
two cars start at the same time from opposite ends of a highway that is 60 miles long. one car is riding at 13 mph and the second car is riding at 17 mph. how long after they begin will they meet?
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[Assistant] 2.0

[User]
( x + 6 ) is a factor in x ^ 2 - mx - 42. what is the value of m?
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[Assistant] 1

[User]
local kennel has cats and dogs in the ratio of 6 : 8. if there are 10 fewer cats than dogs, how many dogs are in the kennel?
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[Assistant] 40

[User]
a rectangular field has a length 10 meters more than it is width. if the area of the field is 144, what is the length ( in meters ) of the rectangular field?
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[Assistant] 18


[User]
add 15 % of 25 and 12 % of 45.
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[Assistant] 9.2

[User]
there are cats got together and decided to kill the mice of 999919. each cat kills equal number of mice and each cat kills more number of mice than cats there were. then what are the number of cats?
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[Assistant] 991,1009

[User]
a crate measures 4 feet by 8 feet by 12 feet on the inside. a stone pillar in the shape of a right circular cylinder must fit into the crate for shipping so that it rests upright when the crate sits on at least one of its six sides. what is the radius, in feet, of the pillar with the largest volume that could still fit in the crate?
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[Assistant] 8

[User]
an equilateral triangle t 2 is formed by joining the mid points of the sides of another equilateral triangle t 1. a third equilateral triangle t 3 is formed by joining the mid - points of t 2 and this process is continued indefinitely. if each side of t 1 is 45 cm, find the sum of the perimeters of all the triangles.
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[Assistant] 270 cm

[User]
if a 10 percent deposit that has been paid toward the purchase of a certain product is $ 120, how much more remains to be paid?
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[Assistant] $ 1,080


[User]
a telephone company needs to create a set of 3 - digit area codes. the company is entitled to use only digits 2, 4 and 6, which can be repeated. if the product of the digits in the area code must be even, how many different codes can be created?
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[Assistant] 27

[User]
the population of a town is 10000. it increases annually at the rate of 20 % p. a. what will be its population after 3 years?
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[Assistant] 17280

[User]
a is twice as good a workman as b and they took 6 days together to do the work b alone can do it in?
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[Assistant] 18 days

[User]
how many even multiples of 15 are there between 149 and 301?
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[Assistant] 6

[User]
a and b can do a work in 6 days, b and c in 2 days and c and a in 8 days. in how many days will the work be completed, if all three of them work together?
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[Assistant] 48 / 19


[User]
the cost of 2 books and 2 magazines is $ 26. the cost of 1 book and 3 magazines is $ 27. how much does 1 magazine cost?
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[Assistant] 7

[User]
6,11, 21, 41, 81, (... )
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[Assistant] 161

[User]
the organizers of a fair projected a 25 percent increase in attendance this year over that of last year, but attendance this year actually decreased by 20 percent. what percent of the projected attendance was the actual attendance?
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[Assistant] 64 %

[User]
the length of the longest tape in cm which can be used to measure exactly, the length 10 m ; 3 m 85 cm ; and 11 m 50 cm is :
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[Assistant] 5

[User]
if x + y = 270, x - y = 200, for integers of x and y, y =?
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[Assistant] 235


[User]
a and b together can do a piece of work in 6 days and a alone can do it in 11 days. in how many days can b alone can do it?
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[Assistant] 66 / 5 days

[User]
the average weight of 22 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. find the average weights of all the boys in the class.
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[Assistant] 48.89

[User]
profits in the partnership of bess, bill and bob are shared in the ratio 1 : 2 : 3. if bill's share of the profits is $ 300, what is bob's share?
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[Assistant] $ 900

[User]
a sporting goods store sold 60 frisbees in one week, some for $ 3 and the rest for $ 4 each. if receipts from frisbee sales for the week totaled $ 204, what is the fewest number of $ 4 frisbees that could have been sold?
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[Assistant] 24

[User]
patrick purchased 90 pencils and sold them at a loss equal to the selling price of 40 pencils. the cost of 90 pencils is how many times the selling price of 90 pencils?
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[Assistant] 1.44


[User]
it takes joey the postman 1 hours to run a 6 mile long route every day. he delivers packages and then returns to the post office along the same path. if the average speed of the round trip is 8 mile / hour, what is the speed with which joey returns?
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[Assistant] 12

[User]
if ( a - b - c + d = 18 ) and ( a + b - c - d = 6 ), what is the value of ( b - d ) ^ 2?
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[Assistant] 36.

[User]
a car traveling at a certain constant speed takes 5 seconds longer to travel 1 km than it would take to travel 1 km at 60 km / hour. at what speed, in km / hr, is the car traveling?
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[Assistant] 55

[User]
what is the probability of getting 53 mondays in a leap year?
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[Assistant] 2 / 7

[User]
if a and b are positive integers and ( 5 ^ a ) ^ b = 5 ^ 2, what is the value of 2 ^ a * 2 ^ b?
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[Assistant] 125


[User]
if w is the set of all the integers between 10 and 332, inclusive, that are either multiples of 3 or multiples of 2 or multiples of both, then w contains how many numbers?
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[Assistant] 213

[User]
an investment yields an interest payment of $ 231 each month. if the simple annual interest rate is 9 %, what is the amount of the investment?
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[Assistant] $ 30,800

[User]
if the price of sugar rises from rs. 6 per kg to rs. 7.50 per kg, a person, to have no increase in the expenditure on sugar, will have to reduce his consumption of sugar by
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[Assistant] 20 %

[User]
there are cats got together and decided to kill the mice of 999975. each cat kills equal number of mice and each cat kills more number of mice than cats there were. then what are the number of cats?
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[Assistant] 995,1005

[User]
how many positive integers less than 50 have a reminder 01 when divided by 5?
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[Assistant] 10


[User]
natasha climbs up a hill, and descends along the same way she went up. it takes her 4 hours to reach the top and 2 hours to come back down. if her average speed along the whole journey is 3.5 kilometers per hour, what was her average speed ( in kilometers per hour ) while climbing to the top?
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[Assistant] 2.625

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

[User]
the number of the members of a club is more than 50 and less than 80. when 5 people sit at a table, other people exactly divided to 8 - people groups ( 8 people sit at a table ) or 7 - people groups ( 7 people sit at a table ). if the members are divided to 9 - people groups, how many people will be left?
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[Assistant] 7

[User]
in a certain flower shop, which stocks 4 types of flowers, there are 1 / 3 as many violets as carnations, and 1 / 3 as many tulips as violets. if there are equal numbers of roses and tulips, what percent of the flowers in the shop are carnations?
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[Assistant] 64.28

[User]
a batsman scored 90 runs which included 4 boundaries and 6 sixes. what percent of his total score did he make by running between the wickets?
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[Assistant] 42.22 %


[User]
a train sets off at 9 : 00 am at the speed of 70 km / h. another train starts at 9 : 30 am in the same direction at the rate of 84 km / h. at what time will the second train catch the first train?
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[Assistant] 12 : 00

[User]
two brother x and y appeared for an exam. the probability of selection of x is 1 / 5 and that of b is 2 / 7. find the probability that both of them are selected.
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[Assistant] 2 / 35

[User]
the volumes of two cones are in the ratio 1 : 30 and the radii of the cones are in the ratio of 1 : 2. what is the length of the wire?
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[Assistant] 6 : 5

[User]
the average of runs of a cricket player of 10 innings was 42. how many runs must he make in his next innings so as to increase his average of runs by 4?
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[Assistant] 86

[User]
in a survey of parents, exactly 9 / 10 of the mothers and 3 / 4 of the fathers held full - time jobs. if 40 percent of the parents surveyed were women, what percent of the parents did not hold full - time jobs?
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[Assistant] 19 %