NDA questions
2295 published questions with worked solutions.
- A number x is chosen at random from first n natural numbers. What is the probability that the number chosen satisfies x+ 1 x >2?
- Three fair dice are tossed once. What is the probability that they show different numbers that are in AP?
- If P(A)=0 5, P(B)=0 7 and P(A B)=0 3, then what is the value of P(A' B')+P(A' B)+P(A B')?
- Five coins are tossed once. What is the probability of getting at most four tails?
- Three fair dice are thrown. What is the probability of getting a total greater than or equal to 15?
- The probability that a person hits a target is 0 5. What is the probability of at least one hit in 4 shots?
- A box contains 2 white balls, 3 black balls and 4 red balls. What is the number of ways of drawing 3 balls from the box with at...
- During war one ship out of 5 was sunk on an average in making a certain voyage. What is the probability that exactly 3 out of 5...
- The completion of a construction job may be delayed due to strike. The probability of strike is 0 6. The probability that the...
- If is a non-real cube root of 1, then what is the value of | 1- + ^2 |?
- What is the number of 6-digit numbers that can be formed only by using 0, 1, 2, 3, 4 and 5 (each once); and divisible by 6?
- Let A be a matrix of order 3 3 and |A|=4. If |2 , adj (3A)|=2^ 3^ , then what is the value of ( + )?
- If and are the distinct roots of equation x^2-x+1=0, then what is the value of | ^ 100 + ^ 100 ^ 100 - ^ 100 |?
- Let A and B be symmetric matrices of same order, then which one of the following is correct regarding (AB-BA)? 1. Its diagonal...
- Consider the following statements in respect of square matrices A, B, C each of same order n : 1. AB=AC B=C if A is non-singular...
- The system of linear equations x+2y+z=4, 2x+4y+2z=8 and 3x+6y+3z=10 has
- Let AX=B be a system of 3 linear equations with 3-unknowns. Let X_1 and X_2 be its two distinct solutions. If the combination...
- What is the sum of the roots of the equation vmatrix 0&x-a&x-b 0&0&x-c +b&x+c&1 vmatrix =0?
- If 2-i 3 where i= -1 is a root of the equation x^2+ax+b=0, then what is the value of (a+b)?
- If z= 1+i 3 1-i 3 where i= -1 , then what is the argument of z?