NDA questions
2827 published questions with worked solutions.
- The sum of the first n terms of an AP is 3n^2+5n. If the m^ th term of the AP is 68, then what is the value of m?
- What is the greatest value of r satisfying the inequality ^ 15 C_ r+1 >2 ^ 15 C_r?
- If n= ^mC_2 then what is ^nC_2 equal to?
- If the highest degree coefficient is equal to 1, then what is the total number of quadratic equations which are unchanged on...
- Let and be the roots of the quadratic equation x^2-2bx+c^2=0 where b, c are positive real numbers. Let A be the arithmetic mean...
- If 1- _ 10 2= _ 10 (5^x+4^x+3^x+2^x+1), then what is a value of x?
- Let f(x)= vmatrix 3x^2& x&- x 6&-1&0 &q^2&q^3 vmatrix where q is any constant, then what is d^2 dx^2 (f(x)) at x=0 equal to?
- If vmatrix a-b&p-q&x-y -c&q-r&y-z -a&r-p&z-x vmatrix =k vmatrix a&b&c &q&r &y&z vmatrix , then what is the value of k?
- If p, q, r are the cube roots of unity, then what is vmatrix p^2+q^2&r^2&r^2 ^2&q^2+r^2&p^2 ^2&q^2&r^2+p^2 vmatrix equal to?
- If A is a square matrix such that |A|=-2, then |AA^T|, where A^T is the transpose of A, is equal to
- Consider the following statements : I. If n n (n>1) matrix is symmetric, then its inverse is also a symmetric matrix. II. If n n...
- If M= bmatrix 2&0&0 0&2&0 0&0&2 bmatrix , then what is the value of |M| ,| adj M|?
- If M_k= bmatrix k&k-1 -1&k bmatrix where k is a natural number, then what is |M_1|+|M_2|+|M_3|+ +|M_ 50 | equal to?
- If M^T is the transpose of a 2 2 matrix M, then which of the following is/are correct? I. |M+M^T|=|M|+|M^T| if M is symmetric....
- If M is a square matrix such that M^3=M, then how many values of |M| are possible?
- Let p=(x+y+z) and q=xyz. If vmatrix x&1&1 1&y&1 1&1&z vmatrix is positive, then which one of the following is correct?
- What is (((A B) (A-B))-((A B) (B-A))) A equal to?
- Let A and B be two sets. For some set C, both A C and B C are empty sets and A C=B C. Which of the following is/are true? I. C=...
- If 2 4 = 2 + 2 , then which one of the following is a possible value of ( + )?
- If and are complementary angles such that - = 6 and m =n , then what is ( m+n m-n ) equal to?