NDA questions
2295 published questions with worked solutions.
- What is the mean deviation of the first 10 natural numbers?
- Let _ i=1 ^ 9 x_i^2=855. If M is the mean and is the standard deviation of x_1, x_2, , x_9, then what is the value of M^2+ ^2?
- The mean of the series x_1, x_2, , x_n is x . If x_n is replaced by k, then what is the new mean?
- Urn A contains 2 white and 2 black balls while urn B contains 3 white and 2 black balls. One ball is transferred from urn A to...
- For two events A and B, P(A)=P(A|B)=0 25 and P(B|A)=0 5. Which of the following are correct? I. A and B are independent. II....
- Two perfect dice are thrown. What is the probability that the sum of the numbers on the faces is neither 9 nor 10?
- The occurrence of a disease in an industry is such that the workers have 20% chance of suffering from it. What is the probability...
- Three perfect dice are rolled. Under the condition that no two show the same face, what is the probability that one of the faces...
- Three perfect dice D_1, D_2 and D_3 are rolled. Let x, y and z represent the numbers on D_1, D_2 and D_3 respectively. What is...
- In a binomial distribution, if the mean is 6 and the standard deviation is 2 , then what are the values of the parameters n and p...
- The sum of the first k terms of a series S is 3k^2+5k. Which one of the following is correct?
- The sum of the first 8 terms of a GP is five times the sum of its first 4 terms. If r 1 is the common ratio, then what is the...
- If one root of the equation x^2-kx+k=0 exceeds the other by 2 3 , then which one of the following is a value of k?
- If 5th, 7th and 13th terms of an AP are in GP, then what is the ratio of its first term to its common difference?
- If p, 1, q are in AP and p, 2, q are in GP, then which of the following statements is/are correct? I. p, 4, q are in HP. II....
- If = vmatrix a & b & c d & e & f g & h & i vmatrix and A, B, C, D, G are the cofactors of the elements a, b, c, d, g...
- Consider the following statements in respect of the determinant = vmatrix k(k+2) & 2k+1 & 1 2k+1 & k+2 & 1 3 & 3 & 1 vmatrix I....
- If A^2+B^2+C^2=0, then what is the value of the following? vmatrix 1 & C & B C & 1 & A B & A & 1 vmatrix
- If is a non-real cube root of unity, then what is a root of the following equation? vmatrix x+1 & & ^2 & x+ ^2 & 1 ^2 & 1 & x+...
- What is ( 3 +i 3 -i )^ 3 equal to?