(Mathematics) NDA/NA SOLVED PAPER 2023 – II (101 to 120)

Total Questions: 20

11. If r is the coefficient of correlation between x and y, then what is the correlation coefficient between (3x + 4) and (- 3y + 3)?

Correct Answer: (a) -r
Solution:

12. A fair coin is tossed 6 times. What is the probability of getting a result in the 6th toss which is different from those obtained in the first five tosses?

Correct Answer: (c) 1/32
Solution:

13. Find value?

Correct Answer: (c) 17/14
Solution:

14. In a class, there are n students including the students Pand Q. What is the probability that P and Q sit together if seats are assigned randomly?

Correct Answer: (b) 2/n
Solution:

15. In a Binomial distribution B(n, p), n = 6 and 9P ( X = 4) = P(X = 2). What is p equal to?

Correct Answer: (a) 1/4
Solution:

16. What is the probability that all three boys sit together?

Three boys, P, Q, R an three girls S, T, U are to be arranged in a row for a group photograph.

Correct Answer: (a) 1/5
Solution:

17. What is the probability that boys and girls sit alternatively?

Three boys, P, Q, R an three girls S, T, U are to be arranged in a row for a group photograph.

Correct Answer: (b) 1/10
Solution:

18. What is the probability that no two girls sit together?

Correct Answer: (d) 1/5
Solution:

19. What is the probability that P and Q take the two end positions?

Correct Answer: (a) 1/15
Solution:

20. What is the probability that Q and U sit together?

Correct Answer: (d) 1/3
Solution: