UPSC CSAT Mathematics Questions

What is the chance that the year 2000 contains 53 Sundays?

A bag contains 5 green, 4 yellow and 3 white balls. 3 balls drawn at random. What is the probability that they are not of the same colour?

A coin is successively tossed three times. Find the probability of getting exactly one tail.

Ravi, Sunil and Maninder review a cricket book. Odds in favour of the book is 5 : 2, 4 : 3 and 3 : 4 respectively. Find the probability that the majority are in…

In a box containing 100 bulbs, 10 are defective. What is the probability that out of a sample of 5 taken from the box none is defective?

In a simultaneous throw of three dice, find the probability of getting a total of 5.

A can do a work in 15 days and B in 20 days. If they work on it together for 4 days, then the fraction of the work that is left is

A and B can do a work in 12 days, B and C in 15 days and C and A in 20 days. If A, B and C work together, they will complete the work in

A man rows downstream 32 km and 14 km upstream. If he takes 6 hours to cover each distance, then the velocity (in km/h) of the current is

The length of the bridge, which a train 130 metres long and travelling at 45 km/h can cross in 30 seconds, is

In one hour, a boat goes 11 km along the stream and 5 km against the stream. The speed of the boat in still water (in km/h) is

A man takes half time in rowing a certain distance downstream than upstream. What is the ratio of the speed in still water to the speed of current ?

A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still…

A boat can travel with a speed of 13 km/h in still water. If the speed of the stream is 4 km/h, find the time taken by the boat to go 68 km downstream.

A, B and C can complete a work separately in 24, 36 and 48 days respectively. They started together but C left after 4 days of start and A left 3 days before th…

A and B can together finish a work in 30 days. They worked together for 20 days and then B left. After another 20 days, A finished the remaining work. In how ma…

10 men can complete a piece of work in 15 days and 15 women can complete the same work in 12 days. If all the 10 men and 15 women work together, in how many day…

A train covers a distance of 12 km in 10 minutes. If it takes 6 seconds to pass a telegraph post, then the length of the train is

3 men or 5 women can do a work in 12 days. How long will 6 men and 5 women take to finish the work?

A 150 metre long train crosses a 500 metre long bridge in 30 seconds. What time will it take to cross a platform 370 metre long ?