NDA questions
2295 published questions with worked solutions.
- If 1!+3!+5!+7!+ +199! is divided by 24, what is the remainder?
- What is the value of 12+5i + 12-5i , where i= -1 ?
- If A= bmatrix 1 2 3 bmatrix , then what is the value of (I+AA'), where I is the 3 3 identity matrix?
- If A, B and C are square matrices of order 3 and (BC)=2 (A), then what is the value of (2A^ -1 BC)?
- If the n^ th term of a sequence is 2n+5 7 , then what is the sum of its first 140 terms?
- Let A be a skew-symmetric matrix of order 3. What is the value of (4A^4)- (3A^3)+ (2A^2)- (A)+ (-I) where I is the identity...
- If A= bmatrix 0&3&4 -3&0&5 -4&-5&0 bmatrix , then which one of the following statements is correct?
- If A= bmatrix 2&0&0 0&3&0 0&0&4 bmatrix , then which of the following statements are correct? 1. A^n will always be singular for...
- If (a+b), 2b, (b+c) are in HP, then which one of the following is correct?
- Which one of the following is a square root of - -1 ?
- What is the maximum number of points of intersection of 10 circles?
- A set S contains (2n+1) elements. There are 4096 subsets of S which contain at most n elements. What is n equal to?
- If vmatrix x^2+3x & x-1 & x+3 x+1 & -2x & x-4 x-3 & x+4 & 3x vmatrix =ax^4+bx^3+cx^2+dx+e, then what is the value of e?
- If all elements of a third order determinant are equal to 1 or -1, then the value of the determinant is :
- If A= bmatrix 2&-1&0 -1&3&0 1&0&1 bmatrix , then what is the value of [ adj ( adj A)]?
- If A= bmatrix 1&0&0 0&1&0 0&0&1 bmatrix , then what is 23A^3-19A^2-4A equal to?
- The value of the determinant of a matrix A of order 3 is 3. If C is the matrix of cofactors of the matrix A, then what is the...
- If A_k= bmatrix k-1&k -2&k+1 bmatrix , then what is (A_1)+ (A_2)+ (A_3)+ + (A_ 100 ) equal to?
- The Cartesian product A A has 16 elements among which are (0, 2) and (1, 3). Which of the following statements is/are correct? 1....
- Let A= 1, 2, 3, , 20 . Define a relation R from A to A by R= (x, y) : 4x-3y=1 , where x, y A. Which of the following statements...