NDA questions
2827 published questions with worked solutions.
- What is the number of non-zero terms in the expansion of (1+2 3 x)^ 11 +(1-2 3 x)^ 11 (after simplification)?
- What is the greatest integer among the following by which the number 5^5+7^5 is divisible?
- What is the inverse of the matrix A= pmatrix & &0 - & &0 0&0&1 pmatrix ?
- If A is a 2 3 matrix and AB is a 2 5 matrix, then B must be a
- If A= pmatrix 1&2 2&3 pmatrix and A^2-kA-I_2=O, where I_2 is the 2 2 identity matrix, then what is the value of k?
- What is the number of triangles that can be formed by choosing the vertices from a set of 12 points in a plane, seven of which...
- What is C(n, r)+2C(n, r-1)+C(n, r-2) equal to?
- A survey of 850 students in a University yields that 680 students like music and 215 like dance. What is the least number of...
- If 0<a<1, the value of _ 10 a is negative. This is justified by
- The third term of a GP is 3. What is the product of the first five terms?
- If x, 3/2, z are in AP; x, 3, z are in GP; then which one of the following will be in HP?
- What is the value of the sum _ n=2 ^ 11 (i^n+i^ n+1 ), where i= -1 ?
- If x= 1 5 , y= 1 10 , where 0<x< 2 , 0<y< 2 , then what is (x+y) equal to?
- What is 5x- 3x 5x+ 3x equal to?
- What is 105^ + 105^ equal to?
- In a triangle ABC if a=2, b=3 and A=2/3, then what is angle B equal to?Not in JEE syllabus
- What is the principal value of ^ -1 ( 2 3 )?
- If x, x-y and x+y are the angles of a triangle (not an equilateral triangle) such that (x-y), x and (x+y) are in GP, then what is...
- ABC is a triangle inscribed in a circle with centre O. Let = BAC, where 45^ < <90^ . Let = BOC. Which one of the following is...Not in JEE syllabus
- If a flag-staff of 6 m height placed on the top of a tower throws a shadow of 2 3 m along the ground, then what is the angle that...