1
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is the coefficient of the middle term in the binomial expansion of (2 + 3x)4 ?
A
6
B
12
C
108
D
216
2
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Let the coefficient of the middle term of the binomial expansion of (1 + x)2n be $$\alpha$$ and those of two middle terms of the binomial expansion of (1 + x)2n $$-$$ 1 be $$\beta$$ and $$\gamma$$. Which one of the following relations is correct?
A
$$\alpha$$ > $$\beta$$ + $$\gamma$$
B
$$\alpha$$ < $$\beta$$ + $$\gamma$$
C
$$\alpha$$ = $$\beta$$ + $$\gamma$$
D
$$\alpha$$ = $$\beta$$ $$\gamma$$
3
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
In the expansion of (1 + x)43, if the coefficients of (2r + 1)th and (r + 2)th terms are equal, then what is the values of r(r $$\ne$$ 1) ?
A
5
B
14
C
21
D
22
4
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If the coefficients of am and an in the expansion of (1 + a)m + n are $$\alpha$$ and $$\beta$$, then which one of the following is correct?
A
$$\alpha$$ = 2$$\beta$$
B
$$\alpha$$ = $$\beta$$
C
2$$\alpha$$ = $$\beta$$
D
$$\alpha$$ = (m + n)$$\beta$$
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