NDA questions
2295 published questions with worked solutions.
- If f(x)= (x+ 1+x^2 ), then which one of the following is correct?
- What is _ x 0 x 1- 4x equal to?
- What is _ x 2 4x-2 x equal to?
- If f(x)= x^2+x+|x| x , then what is _ x 0 f(x) equal to?
- What is _ h 0 ^2(x+h)- ^2x h equal to?
- If y= ^2 ( x^2-x+1 x^2+x+1 ), then what is dy dx at x=0 equal to?
- Under which one of the following conditions does the function f(x)=(p x)^2+(q , cosec ,x)^2 attain minimum value?
- Where does the function f(x)= _ j=1 ^ 7 (x-j)^2 attain its minimum value?
- Consider the following statements in respect of the function f(x)= cases |x|+1, & 0<|x| 3 1, & x=0 cases 1. The function attains...
- What is _ 0 ^ 1 ( 1 x -1 )dx equal to?
- If _ 0 ^ /2 ( ^4x+ ^4x) ,dx=k, then what is the value of _ 0 ^ 20 ( ^4x+ ^4x) ,dx?
- What is _ - /2 ^ /2 (e^ x x+e^ x x) ,dx equal to?
- What is the area of the region enclosed in the first quadrant by x^2+y^2= ^2, y= x and x=0?
- Consider the following statements : 1. The degree of the differential equation dy dx + ( dy dx )=0 is 1. 2. The order of the...
- What is the differential equation of the family of parabolas having vertex at origin and axis along positive y-axis?
- What is the solution of the differential equation (dy-dx)+ x(dy+dx)=0?
- Let x be the mean of squares of first n natural numbers and y be the square of mean of first n natural numbers. If x y = 55 42 ,...
- What is the probability of getting a composite number in the list of natural numbers from 1 to 50?
- If n>7, then what is the probability that C(n, 7) is a multiple of 7?
- Two numbers x and y are chosen at random from a set of first 10 natural numbers. What is the probability that (x+y) is divisible...