NDA questions
2827 published questions with worked solutions.
- If 3 =4 , then what is the value of (45^ + )?
- ^ -1 x+ ^ -1 x= 2 holds, when
- If A= 1 7 , then what is 2A equal to?
- The sides of a triangle are m, n and m^2+n^2+mn . What is the sum of the acute angles of the triangle?Not in JEE syllabus
- Consider the following statements : 1. A= 1, 3, 5 and B= 2, 4, 7 are equivalent sets. 2. A= 1, 5, 9 and B= 1, 5, 5, 9, 9 are...
- Consider the following statements : 1. The null set is a subset of every set. 2. Every set is a subset of itself. 3. If a set has...
- Let R be a relation defined as xRy if and only if 2x+3y=20, where x, y N. How many elements of the form (x, y) are there in R?
- Consider the following statements : 1. A function f: Z Z , defined by f(x)=x+1, is one-one as well as onto. 2. A function f: N N...
- Consider the following in respect of a complex number Z : 1. (Z^ -1 ) =( Z )^ -1 2. ZZ^ -1 =|Z|^2 Which of the above is/are...
- Consider the following statements in respect of an arbitrary complex number Z : 1. The difference of Z and its conjugate is an...
- What is the modulus of the complex number i^ 2n+1 (-i)^ 2n-1 , where n N and i= -1 ?
- If and are the roots of the equation 4x^2+2x-1=0, then which one of the following is correct?
- If one root of 5x^2+26x+k=0 is reciprocal of the other, then what is the value of k?
- In how many ways can a team of 5 players be selected from 8 players so as not to include a particular player?
- What is the coefficient of the middle term in the expansion of (1+4x+4x^2)^5?
- What is C(n, 1)+C(n, 2)+ +C(n, n) equal to?
- What is the sum of the coefficients of first and last terms in the expansion of (1+x)^ 2n , where n is a natural number?
- If the first term of an AP is 2 and the sum of the first five terms is equal to one-fourth of the sum of the next five terms,...
- Consider the following statements : 1. If each term of a GP is multiplied by same non-zero number, then the resulting sequence is...
- The third term of a GP is 3. What is the product of its first five terms?