NDA questions
2827 published questions with worked solutions.
- Consider the following statements : Statement I : x> x for all x>0 Statement II : f(x)=x- x is an increasing function for all x>0...
- The solution of the differential equation dy dx = y '(x)-y^2 (x) is
- If f(x)= 4x+x^4 1+4x^3 and g(x)= ( 1+x 1-x ), then what is the value of f g ( e-1 e+1 ) equal to?
- The value of the determinant vmatrix 1- & - ^2& ^2 1- & - ^2& ^2 1- & - ^2& ^2 vmatrix is equal to
- The adjoint of the matrix A= bmatrix 1&0&2 2&1&0 0&3&1 bmatrix is
- If A= pmatrix -2&2 2&-2 pmatrix , then which one of the following is correct?
- Geometrically Re (z^2-i)=2, where i= -1 and Re is the real part, represents
- If p+q+r=a+b+c=0, then the determinant vmatrix pa&qb&rc &ra&pb &pc&qa vmatrix equals
- A committee of two persons is selected from two men and two women. The probability that the committee will have exactly one woman...
- Let a die be loaded in such a way that even faces are twice likely to occur as the odd faces. What is the probability that a...
- Let the sample space consist of non-negative integers up to 50, X denote the numbers which are multiples of 3 and Y denote the...
- For two events A and B, let P(A)= 1 2 , P(A B)= 2 3 and P(A B)= 1 6 . What is P( A B) equal to?
- Consider the following statements : 1. Coefficient of variation depends on the unit of measurement of the variable. 2. Range is a...
- Given that the arithmetic mean and standard deviation of a sample of 15 observations are 24 and 0 respectively. Then which one of...
- Which one of the following can be considered as appropriate pair of values of regression coefficient of y on x and regression...
- Let A and B be two events with P(A)= 1 3 , P(B)= 1 6 and P(A B)= 1 12 . What is P(B| A ) equal to?
- In a binomial distribution, the mean is 2 3 and the variance is 5 9 . What is the probability that X=2?
- The probability that a ship safely reaches a port is 1 3 . The probability that out of 5 ships, at least 4 ships would arrive...
- What is the probability that at least two persons out of a group of three persons were born in the same month (disregard year)?
- It is given that X =10, Y =90, _X=3, _Y=12 and r_ XY =0 8. The regression equation of X on Y is