NDA questions
2295 published questions with worked solutions.
- What is _ 0 ^ 2 [x^2] ,dx equal to (where [.] is the greatest integer function)?
- What is the maximum value of 16 -12 ^2 ?
- If f : R S defined by f(x)=4 x-3 x+1 is onto, then what is S equal to?
- What is the solution of the differential equation x ,dy-y ,dx=0?
- What is the derivative of the function f(x)=e^ x + ( x)-e^ x at x= 4 ?
- Which one of the following differential equations has a periodic solution? (where >0)
- What is the period of the function f(x)= x?
- What is dx 2^x-1 equal to?
- The order and degree of the differential equation y^2=4a(x-a), where 'a' is an arbitrary constant, are respectively
- What is the value of _ - /4 ^ /4 ( x- x) ,dx?
- If _ a ^ b x^3 ,dx=0 and _ a ^ b x^2 ,dx= 2 3 , then what are the values of a and b respectively?
- What is _ 0 ^ 1 x(1-x)^9 ,dx equal to?
- What is _ x 0 x 2x equal to?
- What is _ h 0 2x+3h - 2x 2h equal to?
- If f(x) is an even function, where f(x) 0, then which one of the following is correct?
- What is the solution of (1+2x) ,dy-(1-2y) ,dx=0?
- What are the order and degree, respectively, of the differential equation ( d^3y dx^3 )^2=y^4+ ( dy dx )^5?
- In a Binomial distribution, the mean is three times its variance. What is the probability of exactly 3 successes out of 5 trials?
- Consider the following statements : 1. P( A B)=P( A )+P(B)-P( A B) 2. P(A B )=P(B)-P(A B) 3. P(A B)=P(B) ,P(A|B) Which of the...
- The probabilities that a student will solve Question A and Question B are 0 4 and 0 5 respectively. What is the probability that...