NDA questions
2295 published questions with worked solutions.
- Let and be the roots of the equation x^2+px+q=0. If ^3 and ^3 are the roots of the equation x^2+mx+n=0, then what is the value of...
- Let and be the roots of the equation x^2-ax-bx+ab-c=0. What is the quadratic equation whose roots are a and b?
- If the roots of the equation x^2-ax-bx-cx+bc+ca=0 are equal, then which one of the following is correct?
- Let and ( > ) be the roots of the equation x^2-8x+q=0. If ^2- ^2=16, then what is the value of q?
- What is the maximum value of n such that 5^n divides (30!+35!), where n is a natural number?
- What is the value of 2(2 1)+3(3 2 1)+4(4 3 2 1)+5(5 4 3 2 1)+ +9(9 8 7 6 5 4 3 2 1)+2?
- If A= 1, 2, 3 , then how many elements are there in the power set of A?
- If a, b, c are in GP where a>0, b>0, c>0, then which of the following are correct? 1. a^2, b^2, c^2 are in GP 2. 1 a , 1 b , 1 c...
- If a+b 2 , b, b+c 2 are in HP, then which one of the following is correct?
- What is value of ^215^ + ^215^ ?
- In a triangle ABC, A- B- C=0. What is angle B equal to?
- If + = 4 and 2 =1, then what is 2 equal to?
- If (45^ + )=1+ 2 , where - 4 < < 4 , then what is the value of 2 ?
- If =- 5 12 , then what can be the value of ?
- What is the value of ^4 7 8 + ^4 5 8 ?
- What is ^2 ( 4 + )- ^2 ( 4 - ) equal to?
- The shadow of a tower becomes x metre longer, when the angle of elevation of sun changes from 60^ to . If the height of the tower...
- If ^ -1 ( 1 2 )+ ^ -1 ( x 3 )= 4 , where 0<x<6, then what is x equal to?
- If 3 ^ -1 x+ ^ -1 x= , then what is x equal to?
- If + =1- , where 1, then which of the following is one of the values of ( + )?