NDA questions
2295 published questions with worked solutions.
- If a vector of magnitude 2 units makes an angle 3 with 2 i , 4 with 3 j and an acute angle with 4 k , then what are the...
- For any vector r , what is ( r i )( r i )+( r j )( r j )+( r k )( r k ) equal to?
- Let a and b are two vectors of magnitude 4 inclined at an angle 3 , then what is the angle between a and a - b ?
- Let y_1(x) and y_2(x) be two solutions of the differential equation dy dx =x. If y_1(0)=0 and y_2(0)=4, then what is the number...
- The differential equation, representing the curve y=e^x(a x+b x) where a and b are arbitrary constants, is
- If f(x)=ax-b and g(x)=cx+d are such that f(g(x))=g(f(x)), then which one of the following holds?
- What is _ -1 ^ 1 (3 x- 3x) ^2x ,dx equal to?
- What are the order and degree respectively of the differential equation 2- ( dy dx )^2 ^ 0 6 = d^2y dx^2 ?
- If dy dx =2e^xy^3, y(0)= 1 2 then what is 4y^2(2-e^x) equal to?
- Let p= _ a ^ b f(x) ,dx and q= _ a ^ b |f(x)| ,dx. If f(x)=e^ -x , then which one of the following is correct?
- What is _ 0 ^ 2 a+ x 2a+ x+ x ,dx equal to?
- The non-negative values of b for which the function 16x^3 3 -4bx^2+x has neither maximum nor minimum in the range x>0 is
- Which one of the following is correct in respect of f(x)= 1 |x|-x and g(x)= 1 x-|x| ?
- A bag contains 5 black and 4 white balls. A man selects two balls at random. What is the probability that both of these are of...
- If a random variable (x) follows binomial distribution with mean 5 and variance 4, and 5^ 23 P(X=3)= 4^ , then what is the value...
- Let x+2y+1=0 and 2x+3y+4=0 are two lines of regression computed from some bivariate data. If is the acute angle between them,...
- If two random variables X and Y are connected by relation 2X-3Y 5X+4Y =4 and X follows Binomial distribution with parameters n=10...
- If a, b, c are in HP, then what is 1 b-a + 1 b-c equal to? 1. 2 b 2. 1 a + 1 c 3. 1 2 ( 1 a + 1 b + 1 c ) Select the correct...
- An edible oil is sold at the rates 150, 200, 250, 300 rupees per litre in four consecutive years. Assuming that an equal amount...
- If the letters of the word "TIRUPATI" are written down at random, then what is the probability that both Ts are always...