NDA questions
2204 published questions with worked solutions.
- Let and be real numbers and z be a complex number. If z^2+ z+ =0 has two distinct non-real roots with Re (z)=1, then it is...
- Let A and B be subsets of X and C=(A B') (A' B), where A' and B' are complements of A and B respectively in X. What is C equal to?
- How many numbers between 100 and 1000 can be formed with the digits 5, 6, 7, 8, 9, if the repetition of digits is not allowed?
- The number of non-zero integral solutions of the equation |1-2i|^x=5^x is
- If the coefficients of a^m and a^n in the expansion of (1+a)^ m+n are and , then which one of the following is correct?
- If x+ _ 15 (1+3^x)=x _ 15 5+ _ 15 12, where x is an integer, then what is x equal to?
- If and are different complex numbers with | |=1, then what is | - 1- | equal to?
- The equation |1-x|+x^2=5 has
- What is i^ 1000 +i^ 1001 +i^ 1002 +i^ 1003 equal to (where i= -1 )?
- The modulus-amplitude form of 3 +i, where i= -1 is
- What is the number of non-zero terms in the expansion of (1+2 3 x)^ 11 +(1-2 3 x)^ 11 (after simplification)?
- What is the greatest integer among the following by which the number 5^5+7^5 is divisible?
- What is the inverse of the matrix A= pmatrix & &0 - & &0 0&0&1 pmatrix ?
- If A is a 2 3 matrix and AB is a 2 5 matrix, then B must be a
- If A= pmatrix 1&2 2&3 pmatrix and A^2-kA-I_2=O, where I_2 is the 2 2 identity matrix, then what is the value of k?
- What is the number of triangles that can be formed by choosing the vertices from a set of 12 points in a plane, seven of which...
- What is C(n, r)+2C(n, r-1)+C(n, r-2) equal to?
- A survey of 850 students in a University yields that 680 students like music and 215 like dance. What is the least number of...
- If 0<a<1, the value of _ 10 a is negative. This is justified by
- The third term of a GP is 3. What is the product of the first five terms?