NDA questions
2295 published questions with worked solutions.
- 3-digit numbers are formed using the digits 1, 3, 7 without repetition of digits. A number is randomly selected. What is the...
- What is the probability that the roots of the equation x^2+x+n=0 are real, where n N and n<4?
- If A and B are two events such that P( not A)= 7 10 , P( not B)= 3 10 and P(A B)= 3 14 , then what is P(B A) equal to?
- Seven white balls and three black balls are randomly placed in a row. What is the probability that no two black balls are placed...
- Suppose X= 1, 2, 3, 4 and R is a relation on X. If R= (1, 1), (2, 2), (3, 3), (1, 2), (2, 1), (2, 3), (3, 2) , then which one of...
- A relation R is defined on the set N of natural numbers as xRy x^2-4xy+3y^2=0. Then which one of the following is correct?
- If A= x Z : x^3-1=0 and B= x Z : x^2+x+1=0 , where Z is set of complex numbers, then what is A B equal to?
- Consider the following statements for the two non-empty sets A and B : 1. (A B) (A B ) ( A B)=A B 2. (A ( A B ))=A B Which of the...
- Let X be a non-empty set and let A, B, C be subsets of X. Consider the following statements : 1. A C (A B) (C B), (A B) (C B) 2....
- If B= bmatrix 3 & 2 & 0 2 & 4 & 0 1 & 1 & 0 bmatrix , then what is adjoint of B equal to?
- What are the roots of the equation |x^2-x-6|=x+2?
- If A= bmatrix 0 & 1 1 & 0 bmatrix , then the matrix A is a/an
- The common roots of the equations z^3+2z^2+2z+1=0 and z^ 2017 +z^ 2018 +1=0 are
- If C(20, n+2)=C(20, n-2), then what is n equal to?
- There are 10 points in a plane. No three of these points are in a straight line. What is the total number of straight lines which...
- The equation px^2+qx+r=0 (where p, q, r, all are positive) has distinct real roots a and b. Which one of the following is correct?
- If A= , , , then the power set of A is
- If A is an identity matrix of order 3, then its inverse (A^ -1 )
- A is a square matrix of order 3 such that its determinant is 4. What is the determinant of its transpose?
- From 6 programmers and 4 typists, an office wants to recruit 5 people. What is the number of ways this can be done so as to...