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 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Three dice are thrown. What is the probability of getting a sum which is a perfect square?
A
$\frac{17}{108}$
B
$\frac{5}{108}$
C
$\frac{19}{108} $
D
$\frac{23}{108}$
3
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

A, B, C and D are mutually exclusive and exhaustive events.

If 2P(A) = 3P(B) = 4P(C) = 5P(D), then what is 77P(A) equal to ?

A
12
B
15
C
20
D
30
4
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Two distinct natural numbers from 1 to 9 are picked at random. What is the probability that their product has 1 in its unit place?
A
$\frac{1}{81}$
B
$\frac{1}{72}$
C
$\frac{1}{18}$
D
$\frac{1}{36}$
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