Q.1
Correct Answer is:D
Solution Explain:
Q.2
Correct Answer is:C
Solution Explain:
Q.3
Correct Answer is:B
Solution Explain:
Q.4
Correct Answer is:B
Solution Explain:
Q.5
Correct Answer is:D
Solution Explain:
Q.6
Correct Answer is:B
Solution Explain:
Q.7
Correct Answer is:B
Solution Explain:
Q.8
Correct Answer is:D
Solution Explain:
We have (2x+x2)n = [(1+x)2 –1]n
⇒ xn(2 + x )n = (1+x)2n – nC1(1+x)2n–2 +nC2 (1+x)2n–4 – nC3(1 +x)2n–6 +. . . + (–1)n nCn ...(1)
Comparing the coefficient of xn on both sides, we have
2nCn – nC1.2n–2Cn +nC2.2n – 4Cn – . . . . = 2n.
Q.9
Correct Answer is:B
Solution Explain:
Q.10
Correct Answer is:A
Solution Explain:
Q.11
Correct Answer is:A
Solution Explain:
Q.12
Correct Answer is:D
Solution Explain:
Q.13
Correct Answer is:D
Solution Explain:
Q.14
Correct Answer is:C
Solution Explain:
Q.15
Correct Answer is:D
Solution Explain:
Q.16
Correct Answer is:A
Solution Explain:
Q.17
Correct Answer is:A
Solution Explain:
Q.18
Correct Answer is:D
Solution Explain:
Q.19
Correct Answer is:C
Solution Explain:
Q.20
Correct Answer is:A
Solution Explain:
Q.21
Correct Answer is:A
Solution Explain:
Q.22
Correct Answer is:B
Solution Explain:
Q.23
Correct Answer is:D
Solution Explain:
Q.24
Correct Answer is:D
Solution Explain:
Q.25
Correct Answer is:A
Solution Explain:
Q.26
Correct Answer is:D
Solution Explain:
Q.27
Correct Answer is:B
Solution Explain:
Q.28
Correct Answer is:B
Solution Explain:
Q.29
Correct Answer is:A
Solution Explain:
Q.30
Correct Answer is:D
Solution Explain:
Q.31
Correct Answer is:D
Solution Explain:
Q.32
Correct Answer is:D
Solution Explain:
Q.33
Correct Answer is:A
Solution Explain:
Q.34
Correct Answer is:C
Solution Explain:
Q.35
Correct Answer is:B
Solution Explain:
Q.36
Correct Answer is:A
Solution Explain:
If number of boys is b and that of girls is g then b + g = 4k and (bCk) (gCk) is maximum that is possible when b = g = 2k hence statement (i) and (ii) is true.
Q.37
Correct Answer is:A
Solution Explain:
Q.38
Correct Answer is:A
Solution Explain:
Q.39
Correct Answer is:D
Solution Explain:
Q.40
Correct Answer is:B