NDA questions
2295 published questions with worked solutions.
- Consider the following statements in respect of sets : 1. The union over intersection of sets is distributive. 2. The complement...
- Consider three sets X, Y and Z having 6, 5 and 4 elements respectively. All these 15 elements are distinct. Let S=(X-Y) Z. How...
- Consider the following statements in respect of relations and functions : 1. All relations are functions but all functions are...
- If _ 10 2 _210+ _ 10 (10^x)=2, then what is the value of x?
- Let ABC be a triangle. If 2A+ 2B+ 2C=-1 then which one of the following is correct?
- Suppose set A consists of first 250 natural numbers that are multiples of 3 and set B consists of first 200 even natural numbers....
- Let S_k denote the sum of first k terms of an AP. What is S_ 30 S_ 20 -S_ 10 equal to?
- If the roots of the equation 4x^2-(5k+1)x+5k=0 differ by unity, then which one of the following is a possible value of k?
- Consider the digits 3, 5, 7, 9. What is the number of 5-digit numbers formed by these digits in which each of these four digits...
- How many distinct matrices exist with all four entries taken from 1, 2 ?
- If i= -1 , then how many values does i^ -2n have for different n Z ?
- If x= a b-c , y= b c-a , z= c a-b then what is the value of the following? vmatrix 1 & -x & x 1 & 1 & -y 1 & z & 1 vmatrix
- Consider the following in respect of the matrix A= bmatrix 1 & 1 & 1 1 & 1 & 1 1 & 1 & 1 bmatrix 1. Inverse of A does not exist...
- The locus of a point P(x, y, z) which moves in such a way that z=7 is a
- Consider the following statements : 1. A line in space can have infinitely many direction ratios. 2. It is possible for certain...
- The xy-plane divides the line segment joining the points (-1, 3, 4) and (2, -5, 6)
- ABCDEFGH is a cuboid with base ABCD. Let A(0, 0, 0), B(12, 0, 0), C(12, 6, 0) and G(12, 6, 4) be the vertices. If is the angle...
- Let a , b and c be unit vectors such that a b is perpendicular to c . If is the angle between a and b , then which of the...
- If a +3 b =3 i - j and 2 a + b = i -2 j , then what is the angle between a and b ?
- Let a , b and c be three vectors such that a , b and c are coplanar. Which of the following is/are correct? 1. ( a b ) c is...