1
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 $p + q$?

A

$\frac{57}{32}$

B

$\frac{53}{32}$

C

$\frac{51}{32}$

D

1

2
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$123... $n$
$f_i$1$2^{-1}$$2^{-2}$...$2^{-(n-1)}$
$$ \text { What is } \sum_i^n x_i f_i \text { equal to? } $$
A

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

B

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

C
$\frac{2^{n+1}+n+2}{2^{n-1}}$
D
$\frac{2^{n+1}-n-2}{2^n}$
3
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$123... $n$
$f_i$1$2^{-1}$$2^{-2}$...$2^{-(n-1)}$

What is the mean of the distribution?

A

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

B

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

C

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

D

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

4
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?

A

4.8

B

5.5

C

6

D

7.5

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