1
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If p = (1111 ... up to n digits), then what is the value of 9p2 + p?
A
10n p
B
2p ⋅ 10n 
C
10np - 1
D
10np + 1
2
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If an = n(n!), then what is a1 + a2 + a3 +...+ a10 equal to?
A
10! - 1
B
11! + 1
C
10! + 1
D
11! - 1
3
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

$\frac{1}{b+c}, \frac{1}{c+a},\frac{1}{a+b}$ are in HP, then which of the following is/are correct?

1. a, b, c are in AP

2. (b + c)2, (c + a)2, (a + b)2 are in GP. Select the correct answer using the code given below.

A
1 only
B
2 only
C
Both 1 and 2
D
Neither 1 nor 2
4
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Let p, q and 3 be respectively the first, third and fifth terms of an AP. Let d be the common difference. If the product (pq) is minimum, then what is the value of d?
A
1
B
$\frac{3}{8}$
C
$\frac{9}{8}$
D
$\frac{9}{4}$
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