NDA questions
2295 published questions with worked solutions.
- What is the sum of the intercepts of the line whose perpendicular distance from origin is 4 units and the angle which the normal...
- What is the length of projection of the vector i+2 j+3 k on the vector 2 i+3 j-2 k?
- If is the angle between vectors a and b such that a b 0, then which one of the following is correct?
- The vectors 60 i+3 j, 40 i-8 j and i-52 j are collinear if :
- Consider the following in respect of the vectors a=(0, 1, 1) and b=(1, 0, 1) : 1. The number of unit vectors perpendicular to...
- If L is the line with direction ratios 3, -2, 6 and passing through (1, -1, 1), then what are the coordinates of the points on L...
- Which one of the planes is parallel to the line x-2 3 = y-3 4 = z-4 5 ?
- What is the angle between the lines 2x=3y=-z and 6x=-y=-4z?
- A point P lies on the line joining A(1, 2, 3) and B(2, 10, 1). If z-coordinate of P is 7, what is the sum of other two...
- If X=20 is the mean of 10 observations x_1, x_2, , x_ 10 ; then what is the value of _ i=1 ^ 10 ( 3x_i-4 5 )?
- If the mean and the sum of squares of 10 observations are 40 and 16160 respectively, then what is the standard deviation?
- Three dice are thrown. What is the probability of getting a sum which is a perfect square?
- A, B, C and D are mutually exclusive and exhaustive events. If 2P(A)=3P(B)=4P(C)=5P(D), then what is 77P(A) equal to?
- Two dice are thrown. What is the probability that difference of numbers on them is 2 or 3?
- What is the mean of the numbers 1, 2, 3, , 10 with frequencies ^9C_0, ^9C_1, ^9C_2, , ^9C_9, respectively?
- The probability that a person recovers from a disease is 0.8. What is the probability that exactly 2 persons out of 5 will...
- Suppose that there is a chance for a newly constructed building to collapse, whether the design is faulty or not. The chance that...
- A fair coin is tossed 6 times. What is the probability of getting a result in the 6^ th toss which is different from those...
- If H is the Harmonic Mean of three numbers ^ 10 C_4, ^ 10 C_5, and ^ 10 C_6, then what is the value of 270 H ?
- In a class, there are n students including the students P and Q. What is the probability that P and Q sit together if seats are...