NDA questions
2827 published questions with worked solutions.
- If x, y, z are in GP, then which of the following is/are correct? 1. (3x), (3y), (3z) are in AP 2. xyz+ (x), xyz+ (y), xyz+ (z)...
- If _ 10 2, _ 10 (2^x-1), _ 10 (2^x+3) are in AP, then what is x equal to?
- Let S= 2, 3, 4, 5, 6, 7, 9 . How many different 3-digit numbers (with all digits different) from S can be made which are less...
- The quadratic equation 3x^2-(k^2+5k)x+3k^2-5k=0 has real roots of equal magnitude and opposite sign. Which one of the following...
- If p and q are the non-zero roots of the equation x^2+px+q=0, then how many possible values can q have?
- If = vmatrix a & b & c d & e & f g & h & i vmatrix then what is vmatrix 3d+5g & 4a+7g & 6g 3e+5h & 4b+7h & 6h 3f+5i & 4c+7i & 6i...
- If 1 b+c , 1 c+a , 1 a+b are in HP, then which of the following is/are correct? 1. a, b, c are in AP 2. (b+c)^2, (c+a)^2, (a+b)^2...
- If A= bmatrix 1 & a 0 & 1 bmatrix where a N , then what is A^ 100 -A^ 50 -2A^ 25 equal to, where I is the identity matrix?
- If vmatrix a & -b & a-b-c -a & b & -a+b-c -a & -b & -a-b+c vmatrix -kabc=0 (a 0, b 0, c 0) then what is the value of k?
- What is _ n=1 ^ 8n+7 i^n equal to, where i= -1 ?
- If z=x+iy, where i= -1 , then what does the equation z z +|z|^2+4(z+ z )-48=0 represent?
- Which one of the following is a square root of 2a+2 a^2+b^2 , where a, b R and i= -1 ?
- If and are the roots of the equation ax^2+bx+c=0, then which one of the following is correct?
- If C(n, 4), C(n, 5) and C(n, 6) are in AP, then what is the value of n?
- Suppose 20 distinct points are placed randomly on a circle. Which of the following statements is/are correct? 1. The number of...
- How many terms are there in the expansion of ( a^2 b^2 + b^2 a^2 +2 )^ 21 where a 0, b 0?
- For what values of k is the system of equations 2k^2x+3y-1=0, 7x-2y+3=0, 6kx+y+1=0 consistent?
- The inverse of a matrix A is given by bmatrix -2 & 1 3 2 & - 1 2 bmatrix What is A equal to?
- What is the period of the function f(x)= (2+ ^2x)?
- If (A+B)=1 and 2 (A-B)=1, where 0<A, B< 2 , then what is A: B equal to?