NDA questions
2827 published questions with worked solutions.
- If n is a root of the equation x^2+px+m=0 and m is a root of the equation x^2+px+n=0, where m n, then what is the value of p+m+n?
- In how many ways can a student choose (n-2) courses out of n courses if 2 courses are compulsory (n>4)?
- If D_n= vmatrix n&20&30 ^2&40&50 ^3&60&70 vmatrix then what is the value of _ n=1 ^ 4 D_n?
- Consider the following in respect of the matrices P= bmatrix 0&c&-b -c&0&a &-a&0 bmatrix and Q= bmatrix a^2&ab&ac &b^2&bc &bc&c^2...
- If P is a skew-symmetric matrix of order 3, then what is (P) equal to?
- If 4 ^ -1 x+ ^ -1 x= , then what is ^ -1 x+4 ^ -1 x equal to?
- What is ^2( ^ -1 2)+ ^2( cosec ^ -1 3) equal to?
- In a triangle ABC a A = b B = c C What is the area of the triangle if a=6 cm?Not in JEE syllabus
- The roots of the equation 7x^2-6x+1=0 are and , where 2 and 2 are the angles of a triangle. Which one of the following is correct?
- In a triangle ABC, A=75^ and B=45^ . What is 2a-b equal to?Not in JEE syllabus
- What is the number of solutions of the equation 2x 3x=1 for 0<x< ?Not in JEE Main syllabus
- What is the general solution of ^ 100 x- ^ 100 x=1? where n is an integer.Not in JEE Main syllabus
- In a triangle ABC A+ B+ C=k What is the value of A B C?
- What is 12^ 48^ equal to?
- What is 17^ - 17^ 17^ + 17^ equal to?
- Consider the following numbers : I. 22 5^ II. 22 5^ III. 22 5^ - 22 5^ How many of the above are irrational numbers?
- If x = y ( 2 3 - ) = z ( 2 3 + ) then what is x+y+z equal to?
- If p ( -30^ )=q ( +120^ ), then what is (p+q)/(p-q) equal to?
- Let P and Q be two non-void relations on a set A. Which of the following statements are correct? I. P and Q are reflexive P Q is...
- If A and B are two non-empty sets having 10 elements in common, then how many elements do A B and B A have in common?