NDA questions
2295 published questions with worked solutions.
- Let a, b, c be the lengths of sides BC, CA, AB respectively of a triangle ABC. If p is the perimeter and q is the area of the...
- A straight line passes through the point of intersection of x+2y+2=0 and 2x-3y-3=0. It cuts equal intercepts in the fourth...
- Under which one of the following conditions are the lines ax+by+c=0 and bx+ay+c=0 parallel (a 0, b 0)?
- What is the equation of the locus of the mid-point of the line segment obtained by cutting the line x+y=p, (where p is a real...
- If the point (x, y) is equidistant from the points (2a, 0) and (0, 3a) where a>0, then which one of the following is correct?
- If 4 i + j -3 k and p i +q j -2 k are collinear vectors, then what are the possible values of p and q respectively?
- If a , b , c are the position vectors of the vertices A, B, C respectively of a triangle ABC and G is the centroid of the...
- Consider the following statements : 1. Dot product over vector addition is distributive 2. Cross product over vector addition is...
- Let a , b , c be three non-zero vectors such that a b = c . Consider the following statements : 1. a is unique if b and c are...
- Two digits out of 1, 2, 3, 4, 5 are chosen at random and multiplied together. What is the probability that the last digit in the...
- The variance of five positive observations is 3 6. If four of the observations are 2, 2, 4, 5 then what is the remaining...
- What is the arithmetic mean of 50 terms of an AP with first term 4 and common difference 4?
- What is the coefficient of mean deviation of 21, 34, 23, 39, 26, 37, 40, 20, 33, 27 (taken from mean)?
- How many four-digit natural numbers are there such that all of the digits are odd?
- What is _ r=0 ^ n 2^rC(n, r) equal to?
- If different permutations of the letters of the word 'MATHEMATICS' are listed as in a dictionary, how many words (with or without...
- Consider the following statements : 1. If f is the subset of Z Z defined by f= (xy, x-y); x, y Z , then f is a function from Z to...
- Consider the determinant = vmatrix a_ 11 &a_ 12 &a_ 13 _ 21 &a_ 22 &a_ 23 _ 31 &a_ 32 &a_ 33 vmatrix . If a_ 13 =yz, a_ 23 =zx,...
- If A= pmatrix 1&0&0 0& & 0& &- pmatrix , then which of the following are correct? 1. A+adjA is a null matrix 2. A^ -1 +adjA is a...
- If X is a matrix of order 3 3, Y is a matrix of order 2 3 and Z is a matrix of order 3 2, then which of the following are...