NDA questions
2204 published questions with worked solutions.
- If A= x : x is a multiple of 2 , B= x : x is a multiple of 5 and C= x : x is a multiple of 10 , then A (B C) is equal to
- If and are the roots of the equation 1+x+x^2=0, then the matrix product bmatrix 1& & bmatrix bmatrix & 1& bmatrix is equal to
- If |a| denotes the absolute value of an integer, then which of the following are correct? 1. |ab|=|a||b| 2. |a+b| |a|+|b| 3....
- How many different permutations can be made out of the letters of the word 'PERMUTATION'?
- The sum of all real roots of the equation |x-3|^2+|x-3|-2=0 is
- It is given that the roots of the equation x^2-4x- _3P=0 are real. For this, the minimum value of P is
- If A is a square matrix, then the value of adj ,A^T-( adj ,A)^T is equal to
- The value of the product 6^ 1 2 6^ 1 4 6^ 1 8 6^ 1 16 up to infinite terms is
- The value of the determinant vmatrix ^2 2 & ^2 2 ^2 2 & ^2 2 vmatrix for all values of , is
- The number of terms in the expansion of (x+a)^ 100 +(x-a)^ 100 after simplification is
- In the expansion of (1+x)^ 50 , the sum of the coefficients of odd powers of x is
- If a, b, c are non-zero real numbers, then the inverse of the matrix A= bmatrix a&0&0 0&b&0 0&0&c bmatrix is equal to
- A person is to count 4500 notes. Let a_n denote the number of notes he counts in the nth minute. If a_1=a_2=a_3= =a_ 10 =150, and...
- The smallest positive integer n for which ( 1+i 1-i )^n=1, is
- If we define a relation R on the set N N as (a, b) ,R ,(c, d) a+d=b+c for all (a, b), (c, d) N N, then the relation is
- If y=x+x^2+x^3+ up to infinite terms, where x<1, then which one of the following is correct?
- If and are the roots of the equation 3x^2+2x+1=0, then the equation whose roots are + ^ -1 and + ^ -1 is
- The value of 1 _3e + 1 _3e^2 + 1 _3e^4 + up to infinite terms is
- A tea party is arranged for 16 people along two sides of a long table with eight chairs on each side. Four particular men wish to...
- The system of equations kx+y+z=1, x+ky+z=k and x+y+kz=k^2 has no solution if k equals