NDA questions
2295 published questions with worked solutions.
- If x+a+b+c=0, then what is the value of vmatrix x+a&b&c &x+b&c &b&x+c vmatrix ?
- If A= bmatrix 1&-1 -1&1 bmatrix , then the expression A^3-2A^2 is
- Let m and n (m<n) be the roots of the equation x^2-16x+39=0. If four terms p, q, r and s are inserted between m and n to form an...
- Under which one of the following conditions will the quadratic equation x^2+mx+2=0 always have real roots?
- What is the value of [ i+ 3 2 ]^ 2019 + [ i- 3 2 ]^ 2019 ?
- If and are the roots of x^2+x+1=0, then what is _ j=0 ^ 3 ( ^j+ ^j ) equal to?
- In a school, 50% students play cricket and 40% play football. If 10% of students play both the games, then what per cent of...
- If A= x : 0 x 2 and B= y : y is a prime number , then what is A B equal to?
- If P(n, r)=2520 and C(n, r)=21, then what is the value of C(n+1, r+1)?
- How many terms are there in the expansion of (1+2x+x^2)^5+(1+4y+4y^2)^5?
- If the middle term in the expansion of (x^2+ 1 x )^ 2n is 184756x^ 10 , then what is the value of n?
- If A= pmatrix 1&2 2&3 3&4 pmatrix and B= pmatrix 1&2 2&1 pmatrix , then which one of the following is correct?
- If n! has 17 zeros, then what is the value of n?
- Let A B= x (x-a)(x-b)>0, where a<b . What are A and B equal to?
- If the constant term in the expansion of ( x - k x^2 )^ 10 is 405, then what can be the values of k?
- What is C(47, 4)+C(51, 3)+C(50, 3)+C(49, 3)+C(48, 3)+C(47, 3) equal to?
- Let a, b, c be in AP and k 0 be a real number. Which of the following are correct? 1. ka, kb, kc are in AP 2. k-a, k-b, k-c are...
- Let S_n be the sum of the first n terms of an AP. If S_ 2n =3n+14n^2, then what is the common difference?
- If 3rd, 8th and 13th terms of a GP are p, q and r respectively, then which one of the following is correct?
- If x^ _7x >7 where x>0, then which one of the following is correct?