Q.1
Correct Answer is:A
Solution Explain:
Q.2
Correct Answer is:C
Solution Explain:
3! × 5! × 4! × 2!
Q.3
Correct Answer is:C
Solution Explain:
Q.4
Correct Answer is:B
Solution Explain:
Q.5
Correct Answer is:D
Solution Explain:
Any three numbers x,y,z from {1,2,3,......} can be chosen in nC3 ways and we get unique triplet (x,y,z), x<y<z. Again any two numbers x, z can be chosen from {1,2.3,......,n }in nC2 ways and we get the triplet
(x,y,z), x< z. Hence total number of required triplets is nC2 + nC3
Q.6
Correct Answer is:D
Solution Explain:
Any natural number is either of the form 3k or 3k -1 or 3k +1. Sum of two numbers will be divisible by 3 if and only if either both are of the form 3 k or one is of the form 3k -1 and other is of the form 3k+1.This can be done in 4C2+4C1×4C1 = 6+16 =22
Q.7
Correct Answer is:B
Solution Explain:
Q.8
Correct Answer is:B
Solution Explain:
Q.9
Correct Answer is:B
Solution Explain:
Q.10
Correct Answer is:A
Solution Explain:
Q.11
Correct Answer is:D
Solution Explain:
Q.12
Correct Answer is:A
Solution Explain:
Q.13
Correct Answer is:A
Solution Explain:
Q.14
Correct Answer is:A
Solution Explain:
Q.15
Correct Answer is:B
Solution Explain:
Q.16
Correct Answer is:B
Solution Explain:
Q.17
Correct Answer is:A
Solution Explain:
Q.18
Correct Answer is:C
Solution Explain:
Q.19
Correct Answer is:A
Solution Explain:
Q.20
Correct Answer is:A
Solution Explain:
Q.21
Correct Answer is:D
Solution Explain:
Q.22
Correct Answer is:A
Solution Explain:
Q.23
Correct Answer is:A
Solution Explain:
Q.24
Correct Answer is:A
Solution Explain:
Q.25
Correct Answer is:A
Solution Explain:
Q.26
Correct Answer is:A
Solution Explain:
Q.27
Correct Answer is:A
Solution Explain:
Q.28
Correct Answer is:B
Solution Explain:
Q.29
Correct Answer is:C
Solution Explain:
Q.30
Correct Answer is:A
Solution Explain:
Q.31
Correct Answer is:D
Solution Explain:
Q.32
Correct Answer is:B
Solution Explain:
Q.33
Correct Answer is:C
Solution Explain:
Q.34
Correct Answer is:C
Solution Explain:
Q.35
Correct Answer is:A
Solution Explain:
Q.36
Correct Answer is:A
Solution Explain:
Q.37
Correct Answer is:C
Solution Explain:
Q.38
Correct Answer is:B
Solution Explain:
