Q.1
Correct Answer is:D
Solution Explain:
Q.2
Correct Answer is:B
Solution Explain:
Q.3
Correct Answer is:B
Solution Explain:
Problem is solved correctly by at least one of them = 1 - Problem is not solved by all
∴ P (Problem is solved) = 1 - Problem is not solved
= 1 - P(A)'⋅P(B)'⋅P(C)'⋅P(D)'
= 1 - {1-P(A)}⋅{1-P(B)}⋅{1-P(C)}⋅{1-P(D)}
= 1 - (1/3)⋅(1/2)⋅(4/7)⋅(3/8)
= 324/336
Q.4
Correct Answer is:D
Solution Explain:
Q.5
Correct Answer is:D
Solution Explain:
Q.6
Correct Answer is:A
Solution Explain:
Q.7
Correct Answer is:C
Solution Explain:
Q.8
Correct Answer is:A
Solution Explain:
Q.9
Correct Answer is:A
Solution Explain:
Q.10
Correct Answer is:C
Solution Explain:
Q.11
Correct Answer is:A
Solution Explain:
Q.12
Correct Answer is:D
Solution Explain:
Q.13
Correct Answer is:A
Solution Explain:
Q.14
Correct Answer is:C
Solution Explain:
There are n – 6C7 ways to draw 7 balls so that no two balls are consecutive and (n – 6) × n – 7C5 ways to draw 7 balls so that there is exactly one pair of consecutive balls. Hence, n – 6C7 = (n – 6) × n – 7C5 gives n = 54.
Q.15
Correct Answer is:C
Solution Explain:
Q.16
Correct Answer is:C
Solution Explain:
Q.17
Correct Answer is:B
Solution Explain:
Q.18
Correct Answer is:A
Solution Explain:
Q.19
Correct Answer is:A
Solution Explain:
Q.20
Correct Answer is:B
Solution Explain:
Q.21
Correct Answer is:A
Solution Explain:
Q.22
Correct Answer is:D
Solution Explain:
Q.23
Correct Answer is:C
Solution Explain:
Q.24
Correct Answer is:A
Solution Explain:
Q.25
Correct Answer is:B
Solution Explain:
Q.26
Correct Answer is:B
Solution Explain:
Q.27
Correct Answer is:D
Solution Explain:
Q.28
Correct Answer is:B
Solution Explain:
Q.29
Correct Answer is:A
Solution Explain:
Q.30
Correct Answer is:C
Solution Explain:
Q.31
Correct Answer is:A
