NDA questions
2827 published questions with worked solutions.
- Which one of the following is correct in respect of the cube roots of unity?
- If u, v and w (all positive) are the p^ th , q^ th and r^ th terms of a GP, then the determinant of the matrix pmatrix u&p&1...
- Let the coefficient of the middle term of the binomial expansion of (1+x)^ 2n be and those of two middle terms of the binomial...
- Let T_r be the r^ th term of an AP for r=1, 2, 3, . If for some distinct positive integers m and n we have T_m=1/n and T_n=1/m,...
- Suppose f(x) is such a quadratic expression that it is positive for all real x. If g(x)=f(x)+f'(x)+f''(x), then for any real x
- Consider the following in respect of matrices A, B and C of same order : 1. (A+B+C)'=A'+B'+C' 2. (AB)'=A'B' 3. (ABC)'=C'B'A'...
- The sum of the binary numbers (11011)_2, (10110110)_2 and (10011x0y)_2 is the binary number (101101101)_2. What are the values of...
- Let matrix B be the adjoint of a square matrix A, I be the identity matrix of same order as A. If k ( 0) is the determinant of...
- If (0 2)^x=2 and _ 10 2=0 3010, then what is the value of x to the nearest tenth?
- The total number of 5-digit numbers that can be composed of distinct digits from 0 to 9 is
- What is the determinant of the matrix pmatrix x&y&y+z &x&z+x &z&x+y pmatrix ?
- If A, B and C are the angles of a triangle and vmatrix 1&1&1 1+ A&1+ B&1+ C A+ ^2A& B+ ^2B& C+ ^2C vmatrix =0, then which one of...
- Consider the following in respect of matrices A and B of same order : 1. A^2-B^2=(A+B)(A-B) 2. (A-I)(I+A)=O A^2=I where I is the...
- What is 2 1+ ^2 equal to?
- If ( - ), and ( + ) are in AP, where 1, then what is the value of ^2 + ?
- If A+B+C=180^ , then what is 2A- 2B- 2C equal to?
- A is an angle in the fourth quadrant. It satisfies the trigonometric equation 3(3- ^2A- A)^2=1. Which one of the following is a...Not in JEE Main syllabus
- What is/are the solution(s) of the trigonometric equation cosec ,x+ x= 3 , where 0<x<2 ?Not in JEE Main syllabus
- If = 8 , then what is the value of (2 +1)^ 10 (2 2 -1)^ 10 (2 -1)^ 10 (2 4 -1)^ 10 ?
- If and (0< < < ) are the roots of the quadratic equation 4x^2-3=0, then what is the value of ?