NDA questions
2295 published questions with worked solutions.
- If x^2-x+1=0, then what is (x- 1x )^2+ (x- 1x )^4+ (x- 1x )^8 equal to?
- If z 0 is a complex number, then what is amp (z)+ amp ( z) equal to?
- In how many ways can the letters of the word DELHI be arranged keeping the positions of vowels and consonants unchanged?
- What is the number of positive integer solutions of x+y+z=5?
- What is the number of rational terms in the expansion of (3^ 12 +5^ 14 )^ 12 ?
- If the sum of binomial coefficients in the expansion of (x+y)^n is 256, then the greatest binomial coefficient occurs in which...
- If bmatrix x & 1 & 1 bmatrix bmatrix 1 & 2 & 3 4 & 5 & 6 7 & 8 & 9 bmatrix bmatrix 1 1 x bmatrix =[45] then which one of the...
- If A= bmatrix y & z & x z & x & y x & y & z bmatrix where x, y, z are integers, is an orthogonal matrix, then what is the value...
- Consider the following in respect of a non-singular matrix M : I. |M^2|=|M|^2 II. |M|=|M^ -1 | III. |M|=|M^ T | How many of the...
- If f( )= bmatrix & - & bmatrix then what is f( ) ^2 equal to?
- If A= bmatrix 1 & 2 & 2 2 & 1 & 2 2 & 2 & 1 bmatrix then what is A^2-4A equal to? where I_3 is the identity matrix of order 3.
- If the number of selections of r as well as (n+r) things from 5n different things are equal, then what is the value of r?
- What is the number of selections of at most 3 things from 6 different things?
- If A= bmatrix x & y & z y & z & x z & x & y bmatrix where x, y, z are integers, is an orthogonal matrix, then what is A^2 equal...
- A man at M, standing 100 m away from the base (P) of a chimney of height 50 m, observes the angle of elevation of the highest...
- If k is a root of x^2-4x+1=0, then what is ^ -1 k+ ^ -1 1k equal to?
- If ^ -1 k+ ^ -1 12= 4 , then what is the value of k?
- Under what condition will the lines m^2x+ny-1=0 and n^2x-my+2=0 be perpendicular?
- If p and q are real numbers between 0 and 1 such that the points (p, 1), (1, q) and (0, 0) form an equilateral triangle, then...
- The vertices of a triangle are A(1, 1), B(0, 0) and C(2, 0). The angular bisectors of the triangle meet at P. What are the...