NDA questions
2827 published questions with worked solutions.
- Let A= bmatrix &- & bmatrix What is the least value of for which A+A^T=I, where I is the identity matrix of order 2?
- Let A, B and C be the square matrices of order 2 such that AB=AC. Which of the statements given below is/are correct? I. B and C...
- If A is a square matrix of order 3 and |A|=4, then what is | adj A| equal to?
- Let A and B be symmetric matrices of the same order. Which of the following statements is/are correct? I. (AB-BA) is also a...
- If A= bmatrix -1&2 3&-4 bmatrix , then what is |A^ -1 | equal to?
- Let S be the set of all real numbers and R be a relation on S defined by xRy |x| y. Then R is
- 4-digit numbers are formed with 1, 2, 3 and 4. What is the number of the 4-digit numbers in which at least one digit is repeated?
- 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?