• 1 . A boat sails 6 km upstream at the rate of 4 kmph. If the stream flows at the rate of 3 km/hr., how long will it take for the boat to make the return journey?

  • 2 . what is a percent of b divided by b percent of a?

  • 3 . Find the least number with which you multiply 882, so that the product may be a perfect square.

  • 4 . A car covers a distance PQ in 32 minutes. If the distance between P and Q is 54km., find the average speed of the car.

  • 5 . If m and n are two whole numbers and if m^n = 25. Find n^m, given that n ? 1

  • 6 . A man plants his orchid with 5625 trees and arranges them so that there are as many rows as there are trees in a row. How many rows are there?

  • 7 . The ratio of length of breadth of a room is 3:2 and its area is 216m2. Find its length.

  • 8 . A man bought a horse and a cart. If he sold the horse at 10 % loss and the cart at 20 % gain, he would not lose anything; but if he sold the horse at 5% loss and the cart at 5% gain, he would lose Rs. 10 in the bargain. The amount paid by him was Rs._______ for the horse and Rs.________ for the cart.

  • 9 . A dishonest shopkeeper professes to sell pulses at the cost price, but he uses a false weight of 950gm. for a kg. His gain is ?%.

  • 10 . 4 men or 8 women can do a piece of work in 24 days. In how many days, will 12 men and 8 women do the same work?

  • 11 . If 9x-3y=12 and 3x-5y=7 then 6x-2y = ?

  • 12 . A person is standing on a railway bridge 70m. Long. He finds that a train crosses the bridge in 6 secs. but himself in 4 secs. Find the length of the train and its speed in km/hr.

  • 13 . A train running between two stations A and B arrives at its destination 15 minutes late, when its speed is 45 km/hr. and 36 minutes late when its speed is 36 km/hr. find the distance between the stations A and B.

  • 14 . The price of paint is Rs.100 per kg. A kilogram of paint covers 25sq.m. How much will it cost to paint the inner walls and the ceiling of a room having 6 meters each side?

  • 15 . A finish the work in 10 days. B is 60% efficient than A. So how many days do B takes to finish the work?

  • 16 . Two clocks begin to strike 12 together. One strikes in 33 seconds and the other in 22 secs. What is the interval between the 6th stroke of the first and the 8th stroke of the second?

  • 17 . The average of 6 numbers is 8. What is the 7th number, so that the average becomes 10?

  • 18 . A boy rides his motorcycle 45 km at an average rate of 25 km/hr and 30 km at an average speed of 20 km/hr. What is the average speed during the entire trip of 75 km?

  • 19 . A software engineer has the capability of thinking 100 lines of code in five minutes and can type 100 lines of code in 10 minutes. He takes a break for five minutes after every ten minutes. How many lines of codes will he complete typing after an hour?

  • 20 . A number when divided by 19, gives the quotient 19 and remainder 9. Find the number.