NDA questions
2295 published questions with worked solutions.
- If a, b, c are in AP, then what is vmatrix x+1&x+2&x+3 +2&x+3&x+4 +a&x+b&x+3 vmatrix equal to?
- If 2^ 1 c , 2^ b ac , 2^ 1 a are in GP, then which one of the following is correct?
- The first and the second terms of an AP are 5 2 and 23 12 respectively. If n^ th term is the largest negative term, what is the...
- For how many integral values of k, the equation x^2-4x+k=0, where k is an integer has real roots and both of them lie in the...
- In an AP, the first term is x and the sum of the first n terms is zero. What is the sum of next m terms?
- If z is a complex number such that z-1 z+1 is purely imaginary, then what is |z| equal to?
- How many real numbers satisfy the equation |x-4|+|x-7|=15?
- A mapping f:A B defined as f(x)= 2x+3 3x+5 , x A. If f is to be onto, then what are A and B equal to?
- and are distinct real roots of the quadratic equation x^2+ax+b=0. Which of the following statements is/are sufficient to find ?...
- If the sixth term in the binomial expansion of (x^ - 8 3 +x^2 _ 10 x )^8 is 5600, then what is the value of x?
- How many terms are there in the expansion of (3x-y)^4(x+3y)^4?
- p, q, r and s are in AP such that p+s=8 and qr=15. What is the difference between largest and smallest numbers?
- Consider the following statements for a fixed natural number n : 1. C(n, r) is greatest if n=2r 2. C(n, r) is greatest if n=2r-1...
- Let x be the number of permutations of the word 'PERMUTATIONS' and y be the number of permutations of the word 'COMBINATIONS'....
- Consider the following statements : 1. f(x)= x is increasing in (0, ) 2. g(x)=e^x+e^ 1 x is decreasing in (0, ) Which of the...
- What is the derivative of ^2x with respect to ^2x?
- For what value of m with m<0, is the area bounded by the lines y=x, y=mx and x=2 equal to 3?
- What is the derivative of cosec (x^ )?
- A solution of the differential equation ( dy dx )^2-x dy dx =0 is
- What is the range of the function f(x)=x+|x| if the domain is the set of real numbers?