NDA questions
2827 published questions with worked solutions.
- Consider the following in respect of two events A and B : 1. P( A occurs but not B )=P(A)-P(B) if B A 2. P( A alone or B alone...
- A committee of three has to be chosen from a group of 4 men and 5 women. If the selection is made at random, what is the...
- The standard deviation of the first N natural numbers can be obtained using which one of the following formulae?
- What is the value of _7 _7 7 7 7 equal to?
- If an infinite GP has the first term x and the sum 5, then which one of the following is correct?
- A square matrix A is called orthogonal if (where A' is the transpose of A)
- If A, B and C are subsets of a Universal set, then which one of the following is **not** correct? (where A' is the complement of...
- The sum of the series 3-1+ 1 3 - 1 9 + is equal to
- If and ( 0) are the roots of the quadratic equation x^2+ x- =0, then the quadratic expression -x^2+ x+ where x R has
- What is the coefficient of the middle term in the binomial expansion of (2+3x)^4?
- For a square matrix A, which of the following properties hold? 1. (A^ -1 )^ -1 =A 2. (A^ -1 )= 1 A 3. ( A)^ -1 = A^ -1 where is a...
- Which one of the following factors does the expansion of the determinant vmatrix x&y&3 ^2&5y^3&9 ^3&10y^5&27 vmatrix contain?
- What is the adjoint of the matrix pmatrix (- )&- (- ) - (- )& (- ) pmatrix ?
- What is the value of ( -1+i 3 2 )^ 3n + ( -1-i 3 2 )^ 3n , where i= -1 ?
- There are 17 cricket players, out of which 5 players can bowl. In how many ways can a team of 11 players be selected so as to...
- What is the value of _927+ _832?
- If A and B are two invertible square matrices of same order, then what is (AB)^ -1 equal to?
- If a+b+c=0, then one of the solutions of vmatrix a-x&c&b &b-x&a &a&c-x vmatrix =0 is
- What should be the value of x so that the matrix pmatrix 2&4 -8&x pmatrix does **not** have an inverse?
- The system of equations 2x+y-3z=5, 3x-2y+2z=5 and 5x-3y-z=16