1
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information carefully and answer the questions given below.

Consider the expansion of (1 + x)2n + 1.
The average of the coefficients of the two middle terms in the expansion is
A
$${}^{2n + 1}{C_{n + 2}}$$
B
$${}^{2n + 1}{C_n}$$
C
$${}^{2n + 1}{C_{n - 1}}$$
D
$${}^{2n}{C_{n + 1}}$$
2
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The sum of the coefficients of all the terms in the expansion is
A
22n $$-$$ 1
B
4n $$-$$ 1
C
2 $$\times$$ 4n
D
None of these
3
NDA 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The coefficient of x99 in the expansion of (x $$-$$ 1) (x $$-$$ 2) (x $$-$$ 3) ...... (x $$-$$ 100) is
A
5050
B
5000
C
$$-$$ 5050
D
$$-$$ 5000
4
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is $${}^{47}{C_4} + {}^{51}{C_3} + \sum\limits_{j = 2}^5 {{}^{52 - j}{C_3}} $$ equal to?
A
$${}^{52}{C_4}$$
B
$${}^{51}{C_5}$$
C
$${}^{53}{C_4}$$
D
$${}^{52}{C_5}$$
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