NDA questions
2295 published questions with worked solutions.
- If f(x)=x(4x^2-3), then what is f( ) equal to?
- What is _ x 5 5-x |x-5| equal to?
- What is _ x 1 x^9-1 x^3-1 equal to?
- The mean and variance of five observations are 14 and 13 2 respectively. Three of the five observations are 11, 16 and 20. What...
- Let A and B be two independent events such that P( A )=0 7, P( B )=k, P(A B)=0 8. What is the value of k?
- A biased coin with the probability of getting head equal to 1 4 is tossed five times. What is the probability of getting tail in...
- A coin is biased so that heads comes up thrice as likely as tails. In four independent tosses of the coin, what is probability of...
- Let X and Y be two random variables such that X+Y=100. If X follows Binomial distribution with parameters n=100 and p= 4 5 , what...
- The observations 4, 1, 4, 3, 6, 2, 1, 3, 4, 5, 1, 6 are outputs of 12 dices thrown simultaneously. If m and M are means of lowest...
- A die is thrown 10 times and obtained the following outputs : 1, 2, 1, 1, 2, 1, 4, 6, 5, 4 What will be the mode of data so...
- For data -1, 1, 4, 3, 8, 12, 17, 19, 9, 11; if M is the median of first 5 observations and N is the median of last five...
- Let P, Q, R represent mean, median and mode. If for some distribution 5P=4Q= R 2 , then what is P+Q 2P+0 7R equal to?
- If G is the geometric mean of numbers 1, 2, 2^2, 2^3, , 2^ n-1 , then what is the value of 1+2 _2G?
- If H is the harmonic mean of numbers 1, 2, 2^2, 2^3, , 2^ n-1 , then what is n/H equal to?
- Let P be the median, Q be the mean and R be the mode of observations x_1, x_2, x_3, x_n. Let S= _ i=1 ^ n (2x_i-a)^2. S takes...
- One bag contains 3 white and 2 black balls, another bag contains 2 white and 3 black balls. Two balls are drawn from the first...
- Three dice are thrown. What is the probability that each face shows only multiples of 3?
- What is the probability that the month of December has 5 Sundays?
- A natural number n is chosen from the first 50 natural numbers. What is the probability that n+ 50 n <50?
- If z z=|z+ z|, where z=x+iy, i= -1 , then the locus of z is a pair of :