NDA questions
2295 published questions with worked solutions.
- 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?
- 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?
- What is the number of solutions of the equation 2x 3x=1 for 0<x< ?
- What is the general solution of ^ 100 x- ^ 100 x=1? where n is an integer.
- 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?
- What is the remainder when 7^n-6n is divided by 36 for n=100?
- In an AP, the ratio of the sum of the first p terms to the sum of the first q terms is p^2:q^2. Which one of the following is...
- What is the number of real roots of the equation (x-1)^2+(x-3)^2+(x-5)^2=0?
- In a class of 240 students, 180 passed in English, 130 passed in Hindi and 150 passed in Sanskrit. Further, 60 passed in only one...