NDA questions
2295 published questions with worked solutions.
- Given S= (x, y, z) R^3 : xyz=210, x<y<z, where x, y, z are positive integers What is the total number of elements in S?
- Let and be the roots of the equation x^2-p(x+1)-q=0 What is ^2+2 +1 ^2+2 +q + ^2+2 +1 ^2+2 +q equal to?
- If the sum of the roots of the equation 1 2x+p + 1 2x+q = 1 r is zero, then what is r equal to?
- Let and be the roots of the equation ax^2+bx+c=0 and p_n= ^n+ ^n, where n>1. What is ap_ n+1 +bp_n+cp_ n-1 equal to?
- If p, q and r are in AP, then what is p^3+3pr(p+r)+r^3 equal to?
- If 1 b-a + 1 b-c = 2 b , then a, b and c are in
- Let P, Q, R and S be the sum of n terms, 2n terms, 3n terms and 4n terms respectively of an AP such that Q=3P. Which one of the...
- In a GP, the 3rd, 5th and 7th terms are x, x^2+2 and x^3+10 respectively, where x>1. What is the 8th term?
- If (1+i)^n-16=0, where i= -1 and n is a positive integer, then what is the least value of n?
- What is i i^4 i^9 i^ 16 i^ 576 , where i= -1 , equal to?
- If z=x+iy be such that | z+ i z- i |=1, where i= -1 and is a positive real number, then which of the following statements is/are...
- What is vmatrix 1 a &bc&a^3 1 a + 1 b &c(a+b)&a^3+b^3 1 a + 1 b + 1 c &ab+bc+ca&a^3+b^3+c^3 vmatrix equal to?
- If x+ay+a^2z=1, x+by+b^2z=1, x+cy+c^2z=1 where a b c, then what is x+y+z equal to?
- Let A= pmatrix 1&- &1 pmatrix and B= pmatrix 1& - &1 pmatrix If C=AB^ -1 , then what is (C) equal to?
- What is the coefficient of x^ 2n in the expansion of the following? (1+x)^ 2n (1+ 1 x )^ 2n
- Consider the following statements in respect of the expansion of (x^2+x^ -2 +2)^4 : I. The number of terms in the expansion is 5....
- Consider the following relations from A to B, where A= 1, 3, 5 and B= 2, 4, 6, 8 : I. (1, 2), (3, 2), (3, 6), (5, 8) II. (3, 4),...
- If x^2-2x +1=0, then what is the magnitude of x?
- Consider the following statements in respect of sets A and B : I. If x A and A B, then x B. II. If A B and x B, then x A. Which...
- A research group conducted a survey of 500 consumers and reported that 370 consumers preferred product X and 240 consumers...