NDA questions
2295 published questions with worked solutions.
- Let two events A and B be such that P(A)=L and P(B)=M. Which one of the following is correct?
- For which of the following sets of numbers do the mean, median and mode have the same value?
- The mean of 12 observations is 75. If two observations are discarded, then the mean of the remaining observations is 65. What is...
- If k is one of the roots of the equation x(x+1)+1=0, then what is its other root?
- The geometric mean of a set of observations is computed as 10. The geometric mean obtained when each observation x_i is replaced...
- If P(A B)= 5 6 , P(A B)= 1 3 and P( A )= 1 2 , then which of the following is/are correct? 1. A and B are independent events. 2....
- A coin is tossed twice. If E and F denote occurrence of head on first toss and second toss respectively, then what is P(E F)...
- If the mode of the scores 10, 12, 13, 15, 15, 13, 12, 10, x is 15, then what is the value of x?
- If A and B are two events such that P(A)= 3 4 and P(B)= 5 8 , then consider the following statements : 1. The minimum value of...
- If x^2+x+1=0, then what is the value of x^ 199 +x^ 200 +x^ 201 ?
- If x, y, z are in GP, then which of the following is/are correct? 1. (3x), (3y), (3z) are in AP 2. xyz+ (x), xyz+ (y), xyz+ (z)...
- If _ 10 2, _ 10 (2^x-1), _ 10 (2^x+3) are in AP, then what is x equal to?
- Let S= 2, 3, 4, 5, 6, 7, 9 . How many different 3-digit numbers (with all digits different) from S can be made which are less...
- The quadratic equation 3x^2-(k^2+5k)x+3k^2-5k=0 has real roots of equal magnitude and opposite sign. Which one of the following...
- If p and q are the non-zero roots of the equation x^2+px+q=0, then how many possible values can q have?
- If = vmatrix a & b & c d & e & f g & h & i vmatrix then what is vmatrix 3d+5g & 4a+7g & 6g 3e+5h & 4b+7h & 6h 3f+5i & 4c+7i & 6i...
- If 1 b+c , 1 c+a , 1 a+b are in HP, then which of the following is/are correct? 1. a, b, c are in AP 2. (b+c)^2, (c+a)^2, (a+b)^2...
- If A= bmatrix 1 & a 0 & 1 bmatrix where a N , then what is A^ 100 -A^ 50 -2A^ 25 equal to, where I is the identity matrix?
- If vmatrix a & -b & a-b-c -a & b & -a+b-c -a & -b & -a-b+c vmatrix -kabc=0 (a 0, b 0, c 0) then what is the value of k?
- What is _ n=1 ^ 8n+7 i^n equal to, where i= -1 ?