NDA questions
2827 published questions with worked solutions.
- Consider the following statements in respect of the function f(x)=[3x], where [ ] is the greatest integer function : I. f(x) is...
- What is _ x 0 ^2x x|x| equal to?
- Let f(x)=p|x|+q, where p and q are real constants. If f'(x) exists at x=0, then what is the value of p?
- Consider the following statements in respect of the given function : f(x)= cases x^3 |x| , & x 0 0, & x=0 cases I. f(x) is...
- What is _ x ( x+ x - x ) equal to?
- If m and n are the roots of the equation x^2-px+q=0, then what is _ x m e^ x^2-px+q -1 (x-m)(x-n) equal to?
- Consider the following statements : I. d dx |x|=- 1 x if x<0 II. d dx |x|= 1 x if x>0 Which of the statements given above is/are...
- If y= | ( 4 -x ) |, then what is dy dx at x= 4 equal to?
- Let f be a differentiable function such that f(x+y)=f(x)+f(y) for all x, y R. Which of the following statements is/are correct?...
- ABC is a triangle right angled at B. If AC=8 units, then what is the area of the triangle of maximum area?
- For the curve y=xe^ 2x
- Let f(x)= xe^x ,dx. Then f(x) decreases in the interval
- What is the solution of the differential equation dy dx =1+x (y-x)?
- Consider the following statements in respect of the function f:R- 3 5 R- 3 5 such that f(x)= 3x+2 5x-3 : I. f(x) is a bijective...
- Let A and B be the sets having only 2 and 3 elements respectively. What is the total number of mappings from A to B?
- The variance of 10 observations is 25. If 2 is multiplied to each of the observations and subsequently 7 is subtracted from each...
- If the random variable X has mean 5 and standard deviation 4, then what is the standard deviation of the random variable Y=3X+4?
- For a binomial distribution with mean 4 and standard deviation 3 , what is the value of P(X=0)?
- If P(A B)=1/2 and P( A B )=1/2, and 2P(A)=P(B)=k, then what is the value of k?
- A committee has 6 men and 4 women. One member is selected randomly which is woman only. What is the probability that she belongs...