# GRE MATHS PROBLEM SOLVING-4

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## GRE Problem Solving Sample Questions Samples

1.Question
There are four balls of different colours and four boxes of the same four colours. The balls have to be put in the boxes of matching colours. Find the probability that all the four balls are not put in the right box.

A. 1/2
B. 6/24
C. 1/6
D. 23/24
E. 2/3

2.Question
What is the probability that a two digit number chosen at random will be a multiple of 3 and not of 5?

A. 30/90
B. 24/90
C. 48/90
D. 13/90
E. 45/90

3.Question
An experiment succeeds twice as often as it fails. What is the probability that in the next 5 trials there will be 4 successes?

A. 1/243
B. 10/243
C. 4/243
D. 20/243
E. 80/243

4.Question
An anti aircraft gun can fire 4 shots at a time. If the probabilities of the 1st, 2nd 3rd and last shot hitting the enemy aircraft are 0.7, 0.6, 0.5, 0.4. What is the probability that at least one of the four shots aimed at the enemy aircraft will hit the target?

A. 0.054
B. 0.126
C. 0.036
D. 0.084
E. 0.964

5.Question
Find the probability that in a group of 3 people no two have the same birthday assuming that a year has 365 days.

A. 1/365
B. 364*363/365^2
C. 364^2/365^2
D. 364^3/365^3
E. 365*364*363/365^2