NDA questions
2295 published questions with worked solutions.
- Consider the following in respect of a complex number Z : 1. (Z^ -1 ) =( Z )^ -1 2. ZZ^ -1 =|Z|^2 Which of the above is/are...
- Consider the following statements in respect of an arbitrary complex number Z : 1. The difference of Z and its conjugate is an...
- What is the modulus of the complex number i^ 2n+1 (-i)^ 2n-1 , where n N and i= -1 ?
- If and are the roots of the equation 4x^2+2x-1=0, then which one of the following is correct?
- If one root of 5x^2+26x+k=0 is reciprocal of the other, then what is the value of k?
- In how many ways can a team of 5 players be selected from 8 players so as not to include a particular player?
- What is the coefficient of the middle term in the expansion of (1+4x+4x^2)^5?
- What is C(n, 1)+C(n, 2)+ +C(n, n) equal to?
- What is the sum of the coefficients of first and last terms in the expansion of (1+x)^ 2n , where n is a natural number?
- If the first term of an AP is 2 and the sum of the first five terms is equal to one-fourth of the sum of the next five terms,...
- Consider the following statements : 1. If each term of a GP is multiplied by same non-zero number, then the resulting sequence is...
- The third term of a GP is 3. What is the product of its first five terms?
- The element in the ith row and the jth column of a determinant of third order is equal to 2(i+j). What is the value of the...
- With the numbers 2, 4, 6, 8, all the possible determinants with these four different elements are constructed. What is the sum of...
- What is the radius of the circle 4x^2+4y^2-20x+12y-15=0?
- A parallelogram has three consecutive vertices (-3, 4), (0, -4) and (5, 2). The fourth vertex is
- If the lines y+px=1 and y-qx=2 are perpendicular, then which one of the following is correct?
- If A, B and C are in AP, then the straight line Ax+2By+C=0 will always pass through a fixed point. The fixed point is
- If the image of the point (-4, 2) by a line mirror is (4, -2), then what is the equation of the line mirror?
- Consider the following statements in respect of the points (p, p-3), (q+3, q) and (6, 3) : 1. The points lie on a straight line....