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big_math_dataset

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The average weight of a group of boys is 30 kg. After a boy of weight 36 kg joins the group, the average weight of the group goes up by 1 kg. Find the number of boys in the group originally ?
Heinz produces tomato puree by boiling tomato juice. The tomato puree has only 20% water while the tomato juice has 90% water. How many liters of tomato puree will be obtained from 20 litres of tomato juice?
A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream, it takes 4 hours. What is the speed of the boat in still water?
Cubes with each side one inch long are glued together to form a larger cube. The larger cube's face is painted with red color and the entire assembly is taken apart. 22 small cubes are found with no paints on them . How many of unit cubes have at least one face that is painted red?
Goldenrod and No Hope are in a horse race with 8 contestants. How many different arrangements of finishes are there if No Hope always finishes before Goldenrod and if all of the horses finish the race?
A motorcyclist goes from Bombay to Pune, a distance of 192 kms at an average of 32 kmph speed. Another man starts from Bombay by car 2 ½ hours after the first, and reaches Pune ½ hour earlier. What is the ratio of the speed of the motorcycle and the car?
A person is traveling at 40km/hr and reached his destiny in 5hr find the distance?
If 125% of j is equal to 25% of k, 150% of k is equal to 50% of l, and 175% of l is equal to 75% of m, then 30% of m is equal to what percent of 200% of j ?
A salesman sells two kinds of trousers: cotton and woollen. A pair of cotton trousers is sold at 30 profit and a pair of woollen trousers is sold at 50 profit. The salesman has calculated that if he sells 100 more woollen trousers than cotton trousers, his overall profit will be 45. However he ends up selling 50 more cotton trousers than woollen trousers. What will be his overall profit?
Sixty men can stitch 200 shirts in 30 days working 8 hours a day. In how many days can 45 men stitch 300 shirts working 6 hours a day?
In a certain code 'BEAMING' is written as 'BFCMHOJ' and 'CLEAR' is written as 'MDESB' How is 'TRAIL' written in that code?
In a friendship gang Andrew has 8 gang, in how many ways can he invite one or more of the gang to his house?
How many integers from 40 to 200, inclusive, are divisible by 3 but not divisible by 7?
The height of two right circular cones are in the ratio 1:2 and their perimeters of their bases are in the ratio 3:4, the ratio of their volume is?
For an agricultural experiment, 300 seeds were planted in one plot and 200 were planted in a second plot. If exactly 25 percent of the seeds in the first plot germinated and exactly 30 percent of the seeds in the second plot germinated, what percent of the total number of seeds germinated?
If -3 < x < 0, which of the following must be true? I. x^5 < x^2 II. x^5 < 5 – x^2 III. x^4 < x
A patient was given a bottle of tablets by the doctor and he was asked to take five tablets in a gap of 10 minutes. In how much time will he be able to take all the five tablets?
If a choir consists of 2 boys and 5 girls, in how many ways can the singers be arranged in a row, so that all the boys are together? Do not differentiate between arrangements that are obtained by swapping two boys or two girls.
If an item that originally sold for z dollars was marked up by x percent and then discounted by y percent, which of the following expressions represents the final price of the item?
What is the rate percent when the simple interest on Rs.2000 amount to Rs.320 in 4 Years?
A train 110 m long is running with a speed of 27 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?
The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.0 cm. What is the area of the triangle?
In what time a sum of money double itself at 3% per annum simple interest?
The distance between two cities A and B is 1140 Km. A train starts from A at 8 a.m. and travel towards B at 60 km/hr. Another train starts from B at 9 a.m and travels towards A at 75 Km/hr. At what time do they meet?
Car W and Car Y traveled the same 80-mile route. If Car W took 2 hours and Car Y traveled at an average speed that was 50 percent faster than the average speed of Car W, how many hours did it take Car Y to travel the route?
Three candidates contested an election and received 1136, 7636 and 11628 votes respectively. What percentage of the total votes did the winning candidate get?
A 11% stock yields 8%.The market value of the stock is :
A train running at the speed of 60 km/hr crosses a pole in 6 seconds. Find the length of the train.
The lunch menu at a certain restaurant contains 4 different entrees and 5 different side dishes. If a meal consists of 1 entree and 2 different side dishes, how many different meal combinations R could be chosen from this menu?
2+2+2²+2³ ... +2^9
A pet store sells dog collars arranged on display such that each of the four different colors of dog collars, green, red, blue, and purple are consecutive in a repeating pattern. If five consecutively displayed collars are purchased, what is the probability that two of the collars are purple?
If n = 2.0823 and n* is the decimal obtained by rounding n to the nearest hundredth, what is the value of n* – n?
The ratio of 2 numbers is 4:6 and their H.C.F. is 8. Their L.C.M. is ?
A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?
A, B and C rent a pasture. If A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing and the rent of the pasture is Rs. 105, then how much amount should C pay as his share of rent?
In a certain apartment building, there are one-bedroom and two-bedroom apartments. The rental prices of the apartment depend on a number of factors, but on average, two-bedroom apartments have higher rental prices than do one-bedroom apartments. Let R be the average rental price for all apartments in the building. If R is $5,600 higher than the average rental price for all one-bedroom apartments, and if the average rental price for all two-bedroom apartments is $10,400 higher that R, then what percentage of apartments in the building are two-bedroom apartments?
At 1:00 pm, a truck left city P and headed toward City Q at a constant speed of 35 km/h. One hour later, a car left City Q and headed toward City P along the same road at a constant speed of 40 km/h. If the distance between City P and City Q is 335 km, at what time will the truck and the car meet each other?
A rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.5 per sq m?
What was the day of the week on 28th May, 2006?
If x and y are different integers, both divisible by 7, then which is not necessarily true?
The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:13. If P invested the money for 5 months, find for how much time did Q invest the money?
Krishan and Nandan jointly started a business. Krishan invested three times as Nandan did and invested his money for double time as compared to Nandan. Nandan earned Rs. 4000. If the gain is proportional to the money invested and the time for which the money is invested then the total gain was?
What is the area inscribed by the lines y =2, x = 2, y = 10-x on an xy-coordinate plane?
What is the ratio whose term differ by 25 and the measure of which is 2/7?
A set consists of 18 numbers, all are even or multiple of 5. If 6 numbers are even and 12 numbers are multiple of 5, how many numbers is multiple of 10?
How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 72 kmph?
If the population of a certain country increases at the rate of one person every 30 seconds, by how many persons does the population increase in 1 hour?
A reduction of 35% in the price of oil enables a house wife to obtain 5kgs more for Rs.800, what is the reduced price for kg?
A tank is filled in 5 hours by three pipes A,B and C. The pipe C is twice as fast as B and B is twice as fast as A. How much time will pipe A alone take to fill the tank?
A family consists of two grandparents, two parents and three grandchildren. The average age of the grandparents is 67 years, that of the parents is 35 years and that of the grandchildren is 6 years. What is the average age of family?
A car covers a certain distance at aspeed of 55 kmph in 6 hours. To cover the same distance in 2 hrs, it must travel at a speed of?
If m and n are positive integers of J such that m is a factor of n, how many positive multiples of m are less than or equal to 2n ?
A 300 m long train crosses a platform in 45 sec while it crosses a signal pole in 18 sec. What is the length of the platform?
How many different subset of the set {A, B, C, D, E. F, G) do not contain G.
The value of a machine depreciates at 20% per annum. If its present value is Rs. 1,50,000, at what price should it be sold after two years such that a profit of Rs. 24,000 is made?
A box contains 80 balls, numbered from 1 to 80. If three balls are selected at random and with replacement from the box, what is the probability that the sum of the three numbers on the balls selected from the box will be odd?
Two pipes A and B can fill a tank in 30 and 60 minutes respectively. If both the pipes are used together, then how long will it take to fill the tank?
If x is a positive odd integer and y is a negative even integer, which of the following must be true?
In what time will a train 100 metres long cross an electric pole, if its speed be 144 km/hr?
A delegation of 5 members has to be formed from 3 ladies and 5 gentlemen. In how many ways the delegation can be formed, if 2 particular ladies are always included in the delegation?
Five people are planning to share equally the cost of a rental car. If one person withdraws from the arrangement and the others share equally the entire cost of the car, then the share of each of the remaining persons increased by:
What will come in place of the x in the following Number series? 5,28,57,88,125,166
If x is the sum of p and q, then which one of the following must equal p – q?
Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:
A certain roller coaster has 5 cars, and a passenger is equally likely to ride in any 1 of the 5 cars each time that passenger rides the roller coaster. If a certain passenger is to ride the roller coaster 5 times, what is the probability that the passenger will ride in each of the 5 cars?
The cost of an article is decreased by 20%. If the original cost is $40, find the decrease cost.
The average age of 15 students of a class is 15 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years, The age of the 15th student is
If the selling price of 6 toys is same as the cost price of 12 toys . Find the gain or loss percentage?
If $0.30 is the commission for sales of $1,000, what percent of the sales amount is the commission?
A trader bought a car at 50% discount on its original price. He sold it at a 80% increase on the price he bought it. What percent of profit did he make on the original price?
A train running at the speed of 90 km/hr crosses a pole in 9 sec. What is the length of the train?
The difference between the simple interest received from two different sources on Rs. 1500 for 3 years is Rs. 13.50. The difference between their rates of interest is?
GOOD is coded as 164 then BAD coded as 21.if ugly coded as 260 then HUMP?
A certain telescope increases the visual range at a particular location from 100 kilometers to 150 kilometers. By what percent is the visual range increased by using the telescope ?
If k is a positive integer, which of the following must be divisible by 21?
Which expression is the greatest
The sum of first three terms of the Geometric sequence is 13/12 and their product is -1. Find the common ratio
x percent of y percent of z is decreased by y percent. What is the result?
Thefactor countof an integer n greater than 1 is the number of distinct prime factors of n. For example, the factor count of 36 is 2, since 2 and 3 are the distinct prime factors of 36 = 2 x 2 x 3 x 3. For which of the following integers is the factor count greatest R?
212:436::560:?
If n is an integer, which of the following must be an even integer?
What is the simplified result of following the steps below in order? (1) add 5y to 2f (2) multiply the sum by 3 (3) subtract f + y from the product
Martin bought 10 concert tickets, some at the full price of $2.00 per ticket, and some at a discounted price of $1.60 per ticket. If he spent a total of $17.60, how many discounted tickets did he buy?
Last year Mrs. Long received $160 in dividends on her shares of Company X stock, all of which she had held for the entire year. If she had had 12 more shares of the stock last year, she would have received $15 more in total annual dividends. How many shares of the stock did she have last year?
A & B started a partnership business. A's investment was thrice the investment of B and the period of his investment was two times the period of investments of B. If B received Rs 3000 as profit , what is their total profit?
When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 3 times, what is the probability that it will land once on heads and twice tails?
What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 15%?
Find the value of y from (12)^3 x 6^4 ÷ 432 = y?
Stuart bought a sweater on sale for 30% off the original price and another 25% off the discounted price. If the original price of the sweater was $30, what was the final price of the sweater?
A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months in the year. If the total profit at the end of the year is Rs.25000, find their shares?
By selling an article at Rs.600, a profit of 25% is made. Find its cost price?
If population of certain city increases at the rate of 5%. If population in 1981 was 138915, then population in 1979 was?
The ratio of the number of ladies to gents at a party was 1:4 but when 2 ladies and 2 gents left, the ratio became 1:3. How many people were at the party originally?
R is the set of positive odd integers less than 10, and S is the set of the squares of the integers in R. How many elements does the intersection of R and S contain ?
Today Joelle opened an interest-bearing savings account and deposited $7,000. If the annual interest rate is 5 percent compounded interest, and she neither deposits nor withdraws money for exactly 2 years, how much money will she have in the account?
In a certain group of 10 members, 5 members teach only French and the rest teach only Spanish or German. If the group is to choose 3-member committee, which must have at least 1 member who teaches French, how many different committee can be chosen ?
A machine, working at a constant rate, manufactures 18 dies in 25 minutes. How many dies does it make in 1 hr 15 min?
If it costs d dollars to make the first 100 copies of a poster and e dollars for each poster after that, what is the total cost of 125 posters?
If the sides of a cube are in the ratio 4:3. What is the ratio of their diagonals?
Rodrick mixes a martini that has a volume of 'n' ounces having 38% Vermouth and 60% Gin by volume. He wants to change it so that the martini is 25% Vermouth by volume. How many ounces of Gin must he add?