(Mathematics) NDA/NA SOLVED PAPER 2024 – I (101 to 120)

Total Questions: 20

11. What is the minimum value of P(A) + P(B)?

Let A and B be two events such that P( A ∪ B) > = 0.75 and 0.125 < =
P(A ∩ B) < 0.375.

Correct Answer: (d) 0.875
Solution:

12. What is the maximum value of P(A) + P(B)?

Let A and B be two events such that P( A ∪ B) > = 0.75 and 0.125 < =
P(A ∩ B) < 0.375.

Correct Answer: (a) 0.75
Solution:

13. What is the minimum value of P( B cap C) ?

A, B and C are three events such that P(A) = 0.6, P(B) = 0.4, P(c) = 0.5,
P(A ∪ B) = 0.8, P(A ∩ C) = 0.3
and P(A ∩ B ∩ c) = 0.2 and P(A ∪ B ∪ C) > 0.85.

Correct Answer: (b) 0.2
Solution:
Minimum value of P(B ∩ C) = 0.2

14. What is the maximum value of P( B ∩ C) ?

A, B and C are three events such that P(A) = 0.6, P(B) = 0.4, P(c) = 0.5,
P(A ∪ B) = 0.8, P(A ∩ C) = 0.3
and P(A ∩ B ∩ c) = 0.2 and P(A ∪ B ∪ C) > 0.85.

Correct Answer: (c) 0.35
Solution:
Maximum value of P(B ∩ C) = 0.35

15. What is the value of n?

An unbiased coin in tossed in times. The probability of getting at least one tail is p and the probability of at least two tails is q and p - q = 5/32

Correct Answer: (b) 5
Solution:

16. What is the value of p + q?

An unbiased coin in tossed in times. The probability of getting at least one tail is p and the probability of at least two tails is q and p - q = 5/32

Correct Answer: (a) 57/32
Solution:

17. equal to?

Correct Answer: (b)
Solution:

18. What is the mean of the distribution?

Correct Answer: (c)
Solution:

19. What is the mean deviation of the largest five observations?

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

Correct Answer: (c) 6
Solution:

20. What is the variance of the largest five observations?

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

Correct Answer: (d) 46.8
Solution: