1
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the principal argument of $\frac{1}{1 + i}$ where $i = \sqrt{-1}?$
A
$-\frac{3\pi}{4}$
B
$-\frac{\pi}{4}$
C
$\frac{\pi}{4}$
D
$\frac{3\pi}{4}$
2
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the modulus of $\left(\frac{\sqrt{-3}}{2}-\frac{1}{2}\right)^{200}?$
A
$\frac{1}{4}$
B
$\frac{1}{2}$
C
1
D
2200
3
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following statements:

1. $\frac{n!}{3!}$ is divisible by 6, where n > 3

2. $\frac{n!}{3!}+3 $ is divisible by 7, where n > 3

Which of the above statements is/are correct?

A
1 only
B
2 only
C
Both 1 and 2
D
Neither 1 nor 2
4
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
In how many ways can a team of 5 players be selected out of 9 players so as to exclude two particular players ?
A
14
B
21
C
35
D
42
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