NDA questions
2295 published questions with worked solutions.
- If two fair dice are tossed, then what is the probability that the sum of the numbers on the faces of the dice is strictly...
- The probability of a man hitting a target is 1/5. If the man fires 7 times, then what is the probability that he hits the target...
- Let X be a random variable following binomial distribution whose mean and variance are 200 and 160 respectively. What is the...
- What is the arithmetic mean of 8^2, 9^2, 10^2, , 15^2?
- If p^x=q^y=r^z, where x, y and z are in GP, then consider the following statements : I. p, q and r are in AP. II. p, q and r are...
- If A and B are non-empty subsets of a set, and A^c and B^c represent their complements, then which of the following is/are...
- Let y=x! and z=(2x)!. If (z/y)=120, then what is the value of (3x)!?
- Let n be a natural number. The number of consecutive zeros at the end of the expansion of n! is exactly 2. How many values of n...
- If (10+ _ 10 x), (10+ _ 10 y) and (10+ _ 10 z) are in AP, then consider the following statements : I. The GM of x and z is y^2....
- How many terms of the series 1+3+5+7+ amount to a sum equal to 12345678987654321?
- How many terms are identical in the two APs 19, 21, 23, ... up to 110 terms and 19, 22, 25, 28, ... up to 75 terms?
- If = -1+ -3 2 then what is the value of (1+ ^ 19 - ^ 35 )^ 100 -(1-3 ^ 25 + ^ 38 )^ 50 ?
- What is the remainder when 5^ 99 is divided by 13?
- What is the value of the determinant of the inverse of the matrix bmatrix -4&-5 2&2 bmatrix ?
- The system of equations 2x-3y-5=0, 15y-10x+50=0
- In obtaining the solution of the system of equations x+y+z=7, x+2y+3z=16 and x+3y+4z=22 by Cramer's rule, the value of y is...
- Consider the following in respect of non-singular matrices A and B : I. (AB)^ -1 =A^ -1 B^ -1 II. (BA)(AB)^ -1 =I, where I is the...
- The value of the determinant vmatrix a&b&c &m&n &q&r vmatrix is equal to
- Let 1, , ^2 be three cube roots of unity. If x=a+b, y=a +b ^2, z=a ^2+b , then what is x^2+y^2+z^2 equal to?
- How many 4-digit numbers that are divisible by 4 can be formed using the digits 1, 2, 3 and 4 (repetition of digits is not...