1
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

What is the value of

C(51, 21) - C(51, 22) + C(51, 23) - C(51, 24) + C(51, 25) - C(51, 26) + C(51, 27) - C(51, 28) + C(51, 29) - C(51, 30) ?

A
C(51, 25)
B
C(51, 27)
C
C(51, 51) - C(51, 0)
D
C(51, 25) - C(51, 27)
2
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
In the expansion of $\left(x + \frac{1}{x}\right)^{2n} $, what is the (n + 1)th term from the end (when arranged in descending powers of x) ?
A
C(2n, n)x
B
C(2n, n - 1)x
C
C(2n, n)
D
C(2n, n - 1)
3
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the sum of the coefficients of first and last terms in the expansion of (1 + x)2n, where n is a natural number?
A
1
B
2
C
n
D
2n
4
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the coefficient of the middle term in the expansion of (1 + 4x + 4x2)5?
A
8064
B
4032
C
2016
D
1008
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