NDA questions
2295 published questions with worked solutions.
- The probability that a student passes Physics test is 2/3 and the probability that he passes both Physics test and English test...
- An event X can happen with probability p and event Y can happen with probability q. Further, X and Y are independent events....
- Three faces of a die are black, two faces are white and one face is red. The die is tossed three times. What is the probability...
- In a throw of three dice, what is the probability of getting one prime number, one composite number and one number which is...
- An integer is chosen at random from the first 50 integers. What is the probability that the integer is neither divisible by 5 nor...
- The standard deviation of 100 observations is 10. If 20 is added to each observation, then what will be the new standard...
- Let X be a random variable following binomial distribution with parameters n=5 and p=k. Further, P(X=1)=0 4096 and P(X=2)=0 2048....
- If P(A)=0 3, P(B)=0 4 and P(A|B)=0 5, then what is the value of P(B|A)?
- If P(A)=1/3, P(B)=1/2 and P(A B)=1/4, then what is the value of P( A B)?
- Consider the following statements : I. Mean and variance have the same unit of measurement. II. Mean deviation and standard...
- Let p, q and r be three unequal numbers such that p, q and r are in AP. If (q-p), (r-q) and p are in GP, then (p+q):(q+r):(r+p)...
- If p, g_1, g_2 and q are in GP and m is the arithmetic mean of p and q, then g_1^2 g_2 + g_2^2 g_1 is equal to
- Let Z_1 and Z_2 be complex numbers such that 3Z_1 4Z_2 is purely imaginary. What is | Z_1+Z_2 Z_1-Z_2 | equal to?
- If , , are cube roots of -8, then what is ^2p^2+ ^2q^2+ ^2r^2 ^2p^2+ ^2q^2+ ^2r^2 equal to?
- The sum of the first n terms of an AP is 3n^2+5n. If the m^ th term of the AP is 68, then what is the value of m?
- What is the greatest value of r satisfying the inequality ^ 15 C_ r+1 >2 ^ 15 C_r?
- If n= ^mC_2 then what is ^nC_2 equal to?
- If the highest degree coefficient is equal to 1, then what is the total number of quadratic equations which are unchanged on...
- Let and be the roots of the quadratic equation x^2-2bx+c^2=0 where b, c are positive real numbers. Let A be the arithmetic mean...
- If 1- _ 10 2= _ 10 (5^x+4^x+3^x+2^x+1), then what is a value of x?