NDA questions
2295 published questions with worked solutions.
- If f(x)= x^3 3 - 5x^2 2 +6x+7 increases in the interval T and decreases in the interval S, then which one of the following is...
- A coin is biased so that heads comes up thrice as likely as tails. For three independent tosses of a coin, what is the...
- A bag contains 20 books out of which 5 are defective. If 3 of the books are selected at random and removed from the bag in...
- The median of the observations 22, 24, 33, 37, x+1, x+3, 46, 47, 57, 58 in ascending order is 42. What are the values of 5th and...
- Arithmetic mean of 10 observations is 60 and sum of squares of deviations from 50 is 5000. What is the standard deviation of the...
- If p and q are the roots of the equation x^2-30x+221=0, what is the value of p^3+q^3?
- The mean of 5 observations is 4 4 and variance is 8 24. If three of the five observations are 1, 2 and 6, then what are the other...
- Two dice are thrown simultaneously. What is the probability that the sum of the numbers appearing on them is a prime number?
- If 5 of a Company's 10 delivery trucks do not meet emission standards and 3 of them are chosen for inspection, then what is the...
- There are 3 coins in a box. One is a two-headed coin; another is a fair coin; and third is biased coin that comes up heads 75% of...
- Consider the following statements : 1. If A and B are mutually exclusive events, then it is possible that P(A)=P(B)=0 6. 2. If A...
- If a fair die is rolled 4 times, then what is the probability that there are exactly 2 sixes?
- Mean of 100 observations is 50 and standard deviation is 10. If 5 is added to each observation, then what will be the new mean...
- If the range of a set of observations on a variable X is known to be 25 and if Y=40+3X, then what is the range of the set of...
- If V is the variance and M is the mean of first 15 natural numbers, then what is V+M^2 equal to?
- The mean weight of 150 students in a certain class is 60 kg. The mean weight of boys is 70 kg and that of girls is 55 kg. What...
- If matrix A= bmatrix 1-i&i -i&1-i bmatrix where i= -1 , then which one of the following is correct?
- The term independent of x in the binomial expansion of ( 2 x^2 - x )^ 10 is equal to
- If (1+2x-x^2)^6=a_0+a_1x+a_2x^2+ +a_ 12 x^ 12 , then what is a_0-a_1+a_2-a_3+a_4- +a_ 12 equal to?
- If C(20, n+2)=C(20, n-2), then what is n equal to?