NDA questions
2295 published questions with worked solutions.
- A committee of 3 is to be formed from a group of 2 boys and 2 girls. What is the probability that the committee consists of 2...
- In a lottery of 10 tickets numbered 1 to 10, two tickets are drawn simultaneously. What is the probability that both the tickets...
- Consider a random variable X which follows Binomial distribution with parameters n=10 and p= 1 5 . Then Y=10-X follows Binomial...
- If A and B are two events such that P(A)=0 6, P(B)=0 5 and P(A B)=0 4, then consider the following statements : 1. P( A B)=0 9....
- Three cooks X, Y and Z bake a special kind of cake, and with respective probabilities 0 02, 0 03 and 0 05, it fails to rise. In...
- If _1= vmatrix 1&p&q 1&q&r 1&r&p vmatrix and _2= vmatrix 1&1&1 &r&p &p&q vmatrix where p q r, then _1+ _2 is
- If (a-b)(b-c)(c-a)=2 and abc=6, then what is the value of vmatrix a&b&c ^2&b^2&c^2 ^3&b^3&c^3 vmatrix ?
- Under which of the following conditions does the determinant vmatrix a&b&c &c&a &a&b vmatrix vanish? 1. a+b+c=0 2....
- Consider the following in respect of the matrices : A=[m n], B=[-n -m] and C= bmatrix m -m bmatrix 1. CA=CB 2. AC=BC 3....
- If A= bmatrix 2 & &0 -2 & &0 -1&1&1 bmatrix , then what is A(adjA) equal to? where I is the identity matrix.
- Let A be a non-singular matrix and B=adjA. Which of the following statements is/are correct? 1. AB=BA 2. AB is a scalar matrix 3....
- Consider the following statements in respect of square matrices A and B of same order : 1. If AB is a null matrix, then at least...
- If A is the identity matrix of order 3 and B is its transpose, then what is the value of the determinant of the matrix C=A+B?
- Let A and B be non-singular matrices of the same order such that AB=A and BA=B. Which of the following statements is/are correct?...
- How many terms are there in the expansion of (1+ 2 x )^9 (1- 2 x )^9?
- Consider the following statements in respect of the expansion of (x+y)^ 10 : 1. Among all the coefficients of the terms, the...
- If C(3n, 2n)=C(3n, 2n-7), then what is the value of C(n, n-5)?
- What is the value of C(51, 21)-C(51, 22)+C(51, 23)-C(51, 24)+C(51, 25)-C(51, 26)+C(51, 27)-C(51, 28)+C(51, 29)-C(51, 30)?
- How many odd numbers between 300 and 400 are there in which none of the digits is repeated?
- How many permutations are there of the letters of the word 'TIGER' in which the vowels should not occupy the even positions?