NDA questions
2204 published questions with worked solutions.
- The scores of 15 students in an examination were recorded as 10, 5, 8, 16, 18, 20, 8, 10, 16, 20, 18, 11, 16, 14 and 12. After...
- A medicine is known to be 75% effective to cure a patient. If the medicine is given to 5 patients, what is the probability that...
- For two events, A and B, it is given that P(A)= 3 5 , P(B)= 3 10 and P(A|B)= 2 3 . If A and B are the complementary events of A...
- A machine has three parts, A, B and C, whose chances of being defective are 0 02, 0 10 and 0 05 respectively. The machine stops...
- Three independent events, A_1, A_2 and A_3 occur with probabilities P(A_i)= 1 1+i , i=1, 2, 3. What is the probability that at...
- Two variates, x and y, are uncorrelated and have standard deviations _x and _y respectively. What is the correlation coefficient...
- A coin is tossed three times. Consider the following events : A : No head appears B : Exactly one head appears C : At least two...
- In a series of 3 one-day cricket matches between teams A and B of a college, the probability of team A winning or drawing are 1/3...
- Let the random variable X follow B(6, p). If 16P(X=4)=P(X=2), then what is the value of p?
- Let S be the set of all persons living in Delhi. We say that x, y in S are related if they were born in Delhi on the same day....
- Let A= 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 . Then the number of subsets of A containing two or three elements is
- The value of i^ 2n +i^ 2n+1 +i^ 2n+2 +i^ 2n+3 , where i= -1 , is
- If the difference between the roots of the equation x^2+kx+1=0 is strictly less than 5 , where |k| 2, then k can be any element...
- If the roots of the equation x^2+px+q=0 are in the same ratio as those of the equation x^2+lx+m=0, then which one of the...
- The value of ( -1+i 3 2 )^n+ ( -1-i 3 2 )^n where n is not a multiple of 3 and i= -1 , is
- Three-digit numbers are formed from the digits 1, 2 and 3 in such a way that the digits are not repeated. What is the sum of such...
- What is the sum of the series 0 3+0 33+0 333+ n terms?
- If 1, , ^2 are the cube roots of unity, then (1+ )(1+ ^2)(1+ ^3)(1+ + ^2) is equal to
- If the sum of m terms of an AP is n and the sum of n terms is m, then the sum of (m+n) terms is
- The modulus and principal argument of the complex number 1+2i 1-(1-i)^2 are respectively