NDA questions
2295 published questions with worked solutions.
- Let m=77^n. The index n is given a positive integral value at random. What is the probability that the value of m will have 1 in...
- Three different numbers are selected at random from the first 15 natural numbers. What is the probability that the product of two...
- Let X be a matrix of order 3 3, Y be a matrix of order 2 3 and Z be a matrix of order 3 2. Which of the following statements are...
- Consider the following statements : I. The set of all irrational numbers between 12 and 15 is an infinite set. II. The set of all...
- How many 4-digit numbers are there having all digits as odd?
- Let A and B be two square matrices of same order. If AB is a null matrix, then which one of the following is correct?
- In the expansion of (1+x)^p(1+x)^q, if the coefficient of x^3 is 35, then what is the value of (p+q)?
- If p times the pth term of an AP is equal to q times the qth term (p q), then what is the (p+q)th term equal to?
- Let p= (x), q= (x^3) and r= (x^5), where x>1. Which of the following statements is/are correct? I. p, q and r are in AP. II. p, q...
- If Z= 1 3 vmatrix i&2i&1 2i&3i&2 3&1&3 vmatrix =x+iy; i= -1 then what is modulus of Z equal to?
- What is the value of the sum _ n=1 ^ 20 (i^ n-1 +i^n+i^ n+1 ) where i= -1 ?
- Let x>1, y>1, z>1 be in GP. Then 1 1+ x , 1 1+ y , 1 1+ z are
- If =- 1 2 +i 3 2 then what is vmatrix 1+ &1+ ^2& + ^2 1& & ^2 1 & 1 ^2 &1 vmatrix equal to?
- If the sum of the first n terms of a series is n(2n+1), then what is the nth term?
- In how many ways can the letters of the word INDIA be permutated such that in each combination, vowels should occupy odd...
- The letters of the word EQUATION are arranged in such a way that all vowels as well as consonants are together. How many such...
- If n is a root of the equation x^2+px+m=0 and m is a root of the equation x^2+px+n=0, where m n, then what is the value of p+m+n?
- In how many ways can a student choose (n-2) courses out of n courses if 2 courses are compulsory (n>4)?
- If D_n= vmatrix n&20&30 ^2&40&50 ^3&60&70 vmatrix then what is the value of _ n=1 ^ 4 D_n?
- Consider the following in respect of the matrices P= bmatrix 0&c&-b -c&0&a &-a&0 bmatrix and Q= bmatrix a^2&ab&ac &b^2&bc &bc&c^2...