NDA questions
2827 published questions with worked solutions.
- In obtaining the solution of the system of equations x+y+z=7, x+2y+3z=16 and x+3y+4z=22 by Cramer's rule, the value of y is...
- Consider the following in respect of non-singular matrices A and B : I. (AB)^ -1 =A^ -1 B^ -1 II. (BA)(AB)^ -1 =I, where I is the...
- The value of the determinant vmatrix a&b&c &m&n &q&r vmatrix is equal to
- Let 1, , ^2 be three cube roots of unity. If x=a+b, y=a +b ^2, z=a ^2+b , then what is x^2+y^2+z^2 equal to?
- How many 4-digit numbers that are divisible by 4 can be formed using the digits 1, 2, 3 and 4 (repetition of digits is not...
- If a, b, c are the sides of a triangle ABC and p is the perimeter of the triangle, then what is vmatrix p+c&a&b &p+a&b &a&p+b...
- Which one of the following is the greatest coefficient in the expansion of (1+x)^ 100 ?
- What is the sum of the binary numbers (101101101)_2 and (100011)_2?
- Set X contains 3n elements and set Y contains 2n elements, and they have n elements in common. How many elements does (X-Y) (Y-X)...
- Let A= -3, -2, -1, 0, 1, 2, 3 and B= 0, 1, 4, 9 . How many elements does the subset of A B corresponding to the relation R= (x,...
- Consider the following statements : Statement-I : If X is an n n matrix, then (mX)=m^n (X), where m is a scalar. Statement-II :...
- Consider the following statements about the matrix M= bmatrix 71&23&48 57&28&29 65&17&48 bmatrix : Statement-I : The inverse of M...
- What is ^ -1 9+ cosec ^ -1 ( 41 4 ) equal to?
- How many values of , where - < < , satisfy both the equations =- 3 and cosec , =-2 simultaneously?Not in JEE Main syllabus
- If x+ 1 x =2 , then what is x^3+ 1 x^3 equal to?
- If 0 x 2 , then what is the number of values of x satisfying the equation x+ x=2 x?Not in JEE Main syllabus
- What is the value of [ 1 2 ^ -1 ( 2 3 ) ]?
- For different values of m, the equation 4y=mx-m+2 represents
- The equation of the locus of a point equidistant from the points (a, b) and (c, d) is (a-c)x+(b-d)y+k=0. What is the value of k?
- Consider the following statements in respect of the equation x^2+3y=0 : I. The equation represents the equation to parabola that...