NDA questions
2204 published questions with worked solutions.
- Consider the following in respect of the function f(x)= cases 2+x, & x 0 2-x, & x<0 cases 1. _ x 1 f(x) does not exist. 2. f(x)...
- Let f : A R where A= R 0 is such that f(x)= x+|x| x . On which one of the following sets is f(x) continuous?
- Which one of the following statements is correct in respect of the function f(x)=x^3 x?
- What is the area bounded by the curves |y|=1-x^2?
- Let f(x) be a function such that f' ( 1 x )+x^3f'(x)=0. What is _ -1 ^ 1 f(x) ,dx equal to?
- What is x^4-1 x^2 x^4+x^2+1 ,dx equal to?
- What are the degree and order respectively of the differential equation satisfying e^ y 1-x^2 +x 1-y^2 =ce^x (where c>0, |x|<1,...
- What is the curve which passes through the point (1, 1) and whose slope is 2y x ?
- If x ,dy=y ,dx+y^2 ,dy, y>0 and y(1)=1, then what is y(-3) equal to?
- What is the order of the differential equation dx dy + y ,dx=x^3?
- Which one of the following differential equations represents the family of straight lines which are at unit distance from the...
- What is e^ x , x ^3x- x ^2x ,dx equal to?
- If _ 0 ^ /2 dx 3 x+5 =k ^ -1 2, then what is the value of k?
- What is _ 1 ^ 3 |1-x^4| ,dx equal to?
- A special dice with numbers 1, -1, 2, -2, 0 and 3 is thrown thrice. What is the probability that the sum of the numbers occurring...
- There is 25% chance that it rains on any particular day. What is the probability that there is at least one rainy day within a...
- A salesman has a 70% chance to sell a product to any customer. The behaviour of successive customers is independent. If two...
- A student appears for tests I, II and III. The student is considered successful if he passes in tests I, II or I, III or all the...
- Three candidates solve a question. Odds in favour of the correct answer are 5 : 2, 4 : 3 and 3 : 4 respectively for the three...
- Consider the following statements : 1. The mean and median are equal in symmetric distribution. 2. The range is the difference...