Quant Quiz on Miscellaneous section for PO, Clerk, SO, Insurance Exams

Question 1

Two water scooters at the same time from opposite sides of a river, travelling across the water on paths at 90 degree to the sea shores. Though their speeds are different each scooters travels at a constant speed. They both cross each other at a point 720 m from the nearer shore. Both scooters remain at their sides for 10 min before starting to return. On the return trip they pass each other at 400 m from the other shore. Find the width of the river.

Question 2

A water bottling plant uses two machines i.e. P and Q to pack water bottles. Machine P and Q can pack 400 and 600 bottles of water per minute. It is known that total number of water bottles required in a day can be packed by machine P alone in 9 hours. If on a certain day machine P alone worked for one-third of the time and machine P and Q together worked for two-third of the time, out of the total time taken to meet the daily requirement of water bottles, then find the total time taken.

Question 3

There are 3 pipes P₁, P₂, P₃ attached to a tank. Each Pipe can be used to either fill or empty the tank and having its rate same in both operations. The Filling or emptying rate of these pipes are 3 : 4 : 5. When pipe P₁ and P₂ is opened, it took 3 hrs to fill the tank. In the 1^st, 2^nd and 3^rd hours of operation the pipes P₁, P₂, P₃ respectively used for emptying the tank, while the other two pipes are used as filling pipe. What approximate fraction of tank to be filled at the end of three hours?

Question 4

18 men can complete a work in 28 days. 24 women can complete the same piece of work in 54 days. 12 men and 18 women work together for 16 days. If only the men were to complete the remaining work in 4 days, then how many men would be required?

Question 5

Sawan borrowed a total amount of Rs 30000, part of it on simple interest rate of 12% per annum and remaining on simple interest rate of 10% per annum. If at the end of 2 yrs he paid in all Rs 36480 to settle the loan amount. What was the amount borrowed at 12 % per annum?

Question 6