NDA questions
2827 published questions with worked solutions.
- Consider the expansion of (1+x)^n. Let p, q, r and s be the coefficients of first, second, nth and (n+1)th terms respectively....
- Let ^ -1 x+ ^ -1 y+ ^ -1 z= 3 2 for 0 x, y, z 1. What is the value of x^ 1000 +y^ 1001 +z^ 1002 ?
- Let x+ y= x+ y for all x, y R . What is ( x 2 + y 2 ) equal to?
- Let A= bmatrix 0 & 2 -2 & 0 bmatrix and (mI+nA)^2=A where m, n are positive real numbers and I is the identity matrix. What is...
- What is the value of the following? [ ^ -1 3 5 + ^ -1 3 2 ]
- Let 4 ^2x=3, where 0 x . What is 3x equal to?Not in JEE Main syllabus
- Let p, q and 3 be respectively the first, third and fifth terms of an AP. Let d be the common difference. If the product (pq) is...
- Consider the following statements in respect of the roots of the equation x^3-8=0 : 1. The roots are non-collinear. 2. The roots...
- Let the equation x cosec ,x=p have a solution, where p is a positive real number. What should be the smallest value of p?Not in JEE Main syllabus
- For what value of , where 0< < 2 , does + attain maximum value?
- Consider the following statements in respect of sets : 1. The union over intersection of sets is distributive. 2. The complement...
- Consider three sets X, Y and Z having 6, 5 and 4 elements respectively. All these 15 elements are distinct. Let S=(X-Y) Z. How...
- Consider the following statements in respect of relations and functions : 1. All relations are functions but all functions are...
- If _ 10 2 _210+ _ 10 (10^x)=2, then what is the value of x?
- Let ABC be a triangle. If 2A+ 2B+ 2C=-1 then which one of the following is correct?
- Suppose set A consists of first 250 natural numbers that are multiples of 3 and set B consists of first 200 even natural numbers....
- Let S_k denote the sum of first k terms of an AP. What is S_ 30 S_ 20 -S_ 10 equal to?
- If the roots of the equation 4x^2-(5k+1)x+5k=0 differ by unity, then which one of the following is a possible value of k?
- Consider the digits 3, 5, 7, 9. What is the number of 5-digit numbers formed by these digits in which each of these four digits...
- How many distinct matrices exist with all four entries taken from 1, 2 ?