Quant Quiz (Based On Probability)

Directions (Q.1-4):  Study the following information carefully to answer following information carefully to answer the questions.

Five boys and five girls are sitting in a row. Find the probability that

1.All the girls are sitting together.

(a)1/42

(b)41/42

(c)3/35

(d)1/42

(e)None of the above

2.All the boys are sitting together.

(a)3/42

(b)41/42

(c)3/35

(d)1/42

(e)None of the above

3.All the girls are not sitting together.

(a)41/42

(b)39/42

(c)31/42

(d)31/35

(e)None of the above

4.All the boys are not sitting together.

(a)3/35

(b)43/49

(c)41/42

(d)1/42

(e)None of the above

5.An elevator starts with 5 passengers and stops at 8 different floors of the house. Find out the probability of the all the 5 passengers alighting at different floors.

(a)101/512

(b)105/512

(c)107/512

(d)109/512

(e)None of the above

6.If a 4-digit number is formed at random using the digits 1, 3, 5, 7 and 9 without repetition, then the probability that it is divisible by 5, is

(a)4/5

(b)3/5

(c)1/5

(d)2/3

(e)None of the above

Direction (Q.7-8): Study the information carefully to answer the questions that follow.

A basket contains 3 blue, 2 green and 5 red balls.

7.If three balls picked at random, what is the probability that at least one is red?

(a)1/2

(b)7/12

(c)11/12

(d)1/5

(e)None of the above

8. If four balls are picked at random, what is the probability that two are green and two are blue?

(a)1/18

(b)1/70

(c)3/5

(d)1/2

(e) None of the above

9. Two persons A and B appear in an interview for two vacancies. If the probabilities of their selections are 1/4 and 1/6, respectively, then the probability that none of them is selected, is

(a)5/8

(b)5/12

(c)1/12

(d)1/24

(e)None of the above

10. The probabilities of solving a problem by three students. A, B and C are 1/2,1/3 and 1/4, respectively. The probability that the problem will be solved, is

(a)1/4

(b)1/2

(c)3/4

(d)1/3

(e)None of the above

Answers with Explanation !!!!!!!!!!!!!!!!!