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

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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 $n$?

NDA Mathematics 21 April 2024

MCQ (Single Correct Answer)

+2.5

-0.83

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

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?

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

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

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

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

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