NDA Mathematics 21 April 2024 | NDA Year Wise Previous Years Questions

Mathematics

PREVIOUS NEXT

NDA Mathematics 21 April 2024

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following for the next two (02) items that follow:

An unbiased coin is tossed $n$ times. The probability of getting at least one tail is $p$ and the probability of at least two tails is $q$ and $p - q = \frac{5}{32}$.

What is the value of $p + q$?

$\frac{57}{32}$

$\frac{53}{32}$

$\frac{51}{32}$

NDA Mathematics 21 April 2024

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following for the next two (02) items that follow:

$x_i$	1	2	3	...	$n$
$f_i$	1	$2^{-1}$	$2^{-2}$	...	$2^{-(n-1)}$

$$ \text { What is } \sum_i^n x_i f_i \text { equal to? } $$

$\frac{2^{n+1} - n + 2}{2^{n-1}}$

$\frac{2^{n+1} - n - 2}{2^{n-1}}$

$\frac{2^{n+1}+n+2}{2^{n-1}}$

$\frac{2^{n+1}-n-2}{2^n}$

NDA Mathematics 21 April 2024

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following for the next two (02) items that follow:

$x_i$	1	2	3	...	$n$
$f_i$	1	$2^{-1}$	$2^{-2}$	...	$2^{-(n-1)}$

What is the mean of the distribution?

$\frac{2^{n+1} - n + 2}{2^{n}-1}$

$\frac{2^{n+1} - n - 2}{2^{n-1}}$

$\frac{2^{n+1} - n - 2}{2^{n}-1}$

$\frac{2^{n+1} - n + 2}{2^n}$

NDA Mathematics 21 April 2024

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following for the next two (02) items that follow:

The marks obtained by 10 students in a Statistics test are 24, 47, 18, 32, 19, 15, 21, 35, 50 and 41.

What is the mean deviation of the largest five observations?

4.8

5.5

7.5

PREVIOUS NEXT