## GRE Problem Solving Sample Questions Samples

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1.Question
If 1<=x<=4 and 2<=y<=6, find the probability that x+y>=5.

A. 5/36
B. 17/20
C. 1/12
D. 1/4
E. 11/36

2.Question
If the probability that it rains in a city next Tuesday is twice the probability that it doesn’t, find the probability that it rains next Tuesday in the city.

A.1/5
B.2/5
C.1/3
D.2/3
E.1/2

3.Question
A and B play chess every day. The probability that A beats B in any game is twice the probability that B beats A. The probability that B beats A is three times the probability that the game ends in a draw. What is the probability that any given game ends in a draw?

A. 3/5
B. 1/10
C. 1/3
D. 2/3
E. 1/5

4.Question
The probability that a child will get A, B, C or D grades is 0.4, 0.35, 0.15 and 0.10. Find the odds in favour of a child’s receiving at most C grade, D being the lowest grade.

A. 1:5
B. 1:3
C. 2:5
D. 4:5
E. 2:3

5.Question
Four persons are chosen at random from a group of 3 men, 2 women and 4 children. Find the probability of selecting 1 man, 1 woman and 2 children.

A. 1/5
B. 2/5
C. 2/7
D. 5/13
E. 1/25

## GRE Problem Solving Sample Questions Samples

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