NDA questions
2295 published questions with worked solutions.
- Let A= x R : -1<x<1 . Which of the following is/are bijective functions from A to itself? 1. f(x)=x|x| 2. g(x)= ( x) Select the...
- Let R be a relation on the open interval (-1, 1) and is given by R= (x, y) : |x+y|<2 . Then which one of the following is correct?
- For any three non-empty sets A, B, C, what is (A B)- (A-B) (B-A) (A B) equal to?
- If a, b, c are the sides of triangle ABC, then what is vmatrix a^2&b A&c A A&1& A A& A&1 vmatrix equal to?
- If a, b, c are in AP; b, c, d are in GP; c, d, e are in HP, then which of the following is/are correct? 1. a, c and e are in GP...
- For x y>1, let _x ( x y )+ _y ( y x )=k, then the value of k can never be equal to
- If A= bmatrix 2 &2 ^2 -1&0 2 &2 &0 0&0&1 bmatrix , then which of the following statements is/are correct? 1. A^ -1 =adjA 2. A is...
- What is the coefficient of x^ 10 in the expansion of (1-x^2)^ 20 (2-x^2- 1 x^2 )^ -5 ?
- If the 4th term in the expansion of (mx+ 1 x )^n is 5 2 , then what is the value of mn?
- If a, b and c (a>0, c>0) are in GP, then consider the following in respect of the equation ax^2+bx+c=0 : 1. The equation has...
- In a binomial expansion of (x+y)^ 2n+1 (x-y)^ 2n+1 , the sum of middle terms is zero. What is the value of ( x^2 y^2 )?
- Let A= 1, 2, 3, 4, 5 and B= 6, 7 . What is the number of onto functions from A to B?
- What is 3 10^ - 10^ 25^ 25^ equal to?
- What is ( 9^ - 9^ ) equal to?
- If in a triangle ABC, ^3A+ ^3B+ ^3C=3 A B C, then what is the value of the determinant vmatrix a&b&c &c&a &a&b vmatrix ; where a,...
- If ^ -1 x= ^ -1 x, then which one of the following is correct?
- What is the number of solutions of ( - )^2=2 where - < < ?
- ABC is a triangle such that angle C=60^ , then what is A+ B ( A-B 2 ) equal to?
- What is 15+ ^2 ( 4 -2 ^ -1 3 ) equal to?
- What is ^ -1 ( a b )- ^ -1 ( a-b a+b ) equal to?