NDA questions
2827 published questions with worked solutions.
- If 1, , ^2 are the cube roots of unity, then (1+ )(1+ ^2)(1+ ^3)(1+ + ^2) is equal to
- If the sum of m terms of an AP is n and the sum of n terms is m, then the sum of (m+n) terms is
- The modulus and principal argument of the complex number 1+2i 1-(1-i)^2 are respectively
- If the graph of a quadratic polynomial lies entirely above x-axis, then which one of the following is correct?
- If |z+4| 3, then the maximum value of |z+1| is
- The number of roots of the equation z^2=2 z is
- If and are the roots of the equation x^2+bx+c=0 with b 0, then the value of ( + ) is
- The sum of the roots of the equation x^2+bx+c=0 (where b and c are non-zero) is equal to the sum of the reciprocals of their...
- The sum of the roots of the equation ax^2+x+c=0 (where a and c are non-zero) is equal to the sum of the reciprocals of their...
- The value of [C(7, 0)+C(7, 1)]+[C(7, 1)+C(7, 2)]+ +[C(7, 6)+C(7, 7)] is
- The number of different words (eight-letter words) ending and beginning with a consonant which can be made out of the letters of...
- The fifth term of an AP of n terms, whose sum is n^2-2n, is
- The sum of the first n terms of the series 1 2 + 3 4 + 7 8 + 15 16 + is equal to
- Consider the following in respect of sets A and B : 1. (A-B) B=A 2. (A-B) A=A 3. (A-B) B= 4. A B A B=B Which of the above are...
- If S= x : x^2+1=0, x is real , then S is
- The expansion of (x-y)^n, n 5 is done in the descending powers of x. If the sum of the fifth and sixth terms is zero, then x y is...
- If A= bmatrix &2 2& bmatrix and (A^3)=125, then is equal to
- If B is a non-singular matrix and A is a square matrix, then the value of (B^ -1 AB) is equal to
- If a b c, then one value of x which satisfies the equation vmatrix 0&x-a&x-b +a&0&x-c +b&x+c&0 vmatrix =0 is given by
- If A= bmatrix & - & bmatrix then what is AA^T equal to (where A^T is the transpose of A)?