NDA questions
2295 published questions with worked solutions.
- In a Binomial distribution B(n, p), n=6 and 9P(X=4)=P(X=2). What is p equal to?
- Let A and B be matrices of order 3 3. If |A|= 1 2 2 and |B|= 1 729 , then what is the value of |2B(adj(3A))|?
- If z is any complex number and iz^3+z^2-z+i=0, where i= -1 , then what is the value of (|z|+1)^2?
- If x, y and z are the cube roots of unity, then what is the value of xy+yz+zx?
- A man has 7 relatives (4 women and 3 men). His wife also has 7 relatives (3 women and 4 men). In how many ways can they invite 3...
- A triangle PQR is such that 3 points lie on the side PQ, 4 points on QR and 5 points on RP respectively. Triangles are...
- If - 2 and 3 are roots of the equation a_0+a_1x+a_2x^2+a_3x^3+x^4=0 where a_0, a_1, a_2, a_3 are integers, then which one of the...
- Let z_1 and z_2 be two complex numbers such that | z_1+z_2 z_1-z_2 |=1, then what is Re ( z_1 z_2 )+1 equal to?
- If 26!=n8^k, where k and n are positive integers, then what is the maximum value of k?
- Consider the following statements in respect of two non-singular matrices A and B of the same order n : 1. adj(AB)=(adjA)(adjB)...
- Consider the following statements in respect of a non-singular matrix A of order n : 1. A(adjA^T)=A(adjA)^T 2. If A^2=A, then A...
- How many four-digit natural numbers are there such that all of the digits are even?
- If 1 is a cube root of unity, then what are the solutions of (z-100)^3+1000=0?
- What is (1+i)^4+(1-i)^4 equal to, where i= -1 ?
- Consider the following statements in respect of a skew-symmetric matrix A of order 3 : 1. All diagonal elements are zero. 2. The...
- Four digit numbers are formed by using the digits 1, 2, 3, 5 without repetition of digits. How many of them are divisible by 4?
- What is the remainder when 2^ 120 is divided by 7?
- For what value of n is the determinant vmatrix C(9,4)&C(9,3)&C(10,n-2) (11,6)&C(11,5)&C(12,n) (m,7)&C(m,6)&C(m+1,n+1) vmatrix =0...
- If ABC is a triangle, then what is the value of the determinant vmatrix C& B&0 A&0& B 0& (B+C)& C vmatrix ?
- What is the number of different matrices, each having 4 entries that can be formed using 1, 2, 3, 4 (repetition is allowed)?