NDA questions
2204 published questions with worked solutions.
- Geometrically Re (z^2-i)=2, where i= -1 and Re is the real part, represents
- If p+q+r=a+b+c=0, then the determinant vmatrix pa&qb&rc &ra&pb &pc&qa vmatrix equals
- A committee of two persons is selected from two men and two women. The probability that the committee will have exactly one woman...
- Let a die be loaded in such a way that even faces are twice likely to occur as the odd faces. What is the probability that a...
- Let the sample space consist of non-negative integers up to 50, X denote the numbers which are multiples of 3 and Y denote the...
- For two events A and B, let P(A)= 1 2 , P(A B)= 2 3 and P(A B)= 1 6 . What is P( A B) equal to?
- Consider the following statements : 1. Coefficient of variation depends on the unit of measurement of the variable. 2. Range is a...
- Given that the arithmetic mean and standard deviation of a sample of 15 observations are 24 and 0 respectively. Then which one of...
- Let A and B be two events with P(A)= 1 3 , P(B)= 1 6 and P(A B)= 1 12 . What is P(B| A ) equal to?
- In a binomial distribution, the mean is 2 3 and the variance is 5 9 . What is the probability that X=2?
- The probability that a ship safely reaches a port is 1 3 . The probability that out of 5 ships, at least 4 ships would arrive...
- What is the probability that at least two persons out of a group of three persons were born in the same month (disregard year)?
- If P(B)= 3 4 , P(A B C )= 1 3 and P( A B C )= 1 3 , then what is P(B C) equal to?
- If a variable takes values 0, 1, 2, 3, , n with frequencies 1, C(n, 1), C(n, 2), C(n, 3), , C(n, n) respectively, then the...
- In a multiple-choice test, an examinee either knows the correct answer with probability p, or guesses with probability 1-p. The...
- If x_1 and x_2 are positive quantities, then the condition for the difference between the arithmetic mean and the geometric mean...
- Consider the following statements : 1. Variance is unaffected by change of origin and change of scale. 2. Coefficient of variance...
- If n=(2017)!, then what is 1 _2n + 1 _3n + 1 _4n + + 1 _ 2017 n equal to?
- In the expansion of (1+x)^ 43 , if the coefficients of (2r+1)^ th and (r+2)^ th terms are equal, then what is the value of r (r...
- What is the principal argument of (-1-i), where i= -1 ?