NDA questions
2295 published questions with worked solutions.
- What is the adjoint of the matrix pmatrix (- )&- (- ) - (- )& (- ) pmatrix ?
- What is the value of ( -1+i 3 2 )^ 3n + ( -1-i 3 2 )^ 3n , where i= -1 ?
- There are 17 cricket players, out of which 5 players can bowl. In how many ways can a team of 11 players be selected so as to...
- What is the value of _927+ _832?
- If A and B are two invertible square matrices of same order, then what is (AB)^ -1 equal to?
- If a+b+c=0, then one of the solutions of vmatrix a-x&c&b &b-x&a &a&c-x vmatrix =0 is
- What should be the value of x so that the matrix pmatrix 2&4 -8&x pmatrix does **not** have an inverse?
- The system of equations 2x+y-3z=5, 3x-2y+2z=5 and 5x-3y-z=16
- Which one of the following is correct in respect of the cube roots of unity?
- If u, v and w (all positive) are the p^ th , q^ th and r^ th terms of a GP, then the determinant of the matrix pmatrix u&p&1...
- Let the coefficient of the middle term of the binomial expansion of (1+x)^ 2n be and those of two middle terms of the binomial...
- Let T_r be the r^ th term of an AP for r=1, 2, 3, . If for some distinct positive integers m and n we have T_m=1/n and T_n=1/m,...
- Suppose f(x) is such a quadratic expression that it is positive for all real x. If g(x)=f(x)+f'(x)+f''(x), then for any real x
- Consider the following in respect of matrices A, B and C of same order : 1. (A+B+C)'=A'+B'+C' 2. (AB)'=A'B' 3. (ABC)'=C'B'A'...
- Let matrix B be the adjoint of a square matrix A, I be the identity matrix of same order as A. If k ( 0) is the determinant of...
- If (0 2)^x=2 and _ 10 2=0 3010, then what is the value of x to the nearest tenth?
- The total number of 5-digit numbers that can be composed of distinct digits from 0 to 9 is
- What is the determinant of the matrix pmatrix x&y&y+z &x&z+x &z&x+y pmatrix ?
- If A, B and C are the angles of a triangle and vmatrix 1&1&1 1+ A&1+ B&1+ C A+ ^2A& B+ ^2B& C+ ^2C vmatrix =0, then which one of...
- Consider the following in respect of matrices A and B of same order : 1. A^2-B^2=(A+B)(A-B) 2. (A-I)(I+A)=O A^2=I where I is the...