NDA questions
2827 published questions with worked solutions.
- What is the derivative of x |x| with respect to x, where x<0?
- Consider the following statements in respect of the function f(x)=x in the interval (-1, 1) : I. The function attains maximum...
- What is the length of the longest interval in which the function f(x)=2 ^2x-1 is decreasing?
- If A and B are acute angles such that 2A+2B= , then what is the maximum value of A. B?
- What is the solution of the differential equation ( dy dx )=p when y(0)=q?
- Let two lines of regression be x+y+11=0 and 2x+3y+4=0 for some data. What is the value of correlation coefficient between x and y?
- If the mean of 20 observations, namely x_1, x_2, x_3, , x_ 20 is 1 414, then what is the value of _ i=1 ^ 20 100(2x_i+4)?
- In an entrance test there are multiple choice questions. There are four options for each question, of which only one is correct....
- Consider the following statements in respect of the events A, B, C : I. (A B C) ( A B C ) is an impossible event. II. (A B C) ( A...
- The standard deviation of 100 observations is 10. If 5 is multiplied to each of the observations, then what is the new standard...
- For a Binomial distribution with mean 6 and standard deviation 2 , what is the value of P(X=0)?
- If the random variable X has mean 3 and standard deviation 5, then what is the variance of the random variable Y=2X-5?
- Three events A, B and C are such that A and B are disjoint, A and C are independent, B and C are independent. If 4P(A)=2P(B)=P(C)...
- What is 6 ( /18)-8 ^3( /18) equal to?
- How many values of satisfy the equation ^2 + ^2 =2, where 0^ < <360^ ?Not in JEE Main syllabus
- What is ( ^ -1 0 75) equal to?
- What is ^2 ( 1 2 ^ -1 1 3 ) equal to?
- What is (1125^ ) (405^ )+ (765^ ) (675^ ) equal to?
- If A is a square matrix of order 3 and |A|=2, then what is adj ( adj A) equal to?
- If A is a square matrix of order 3 such that A( adj A)= bmatrix 64&0&0 0&64&0 0&0&64 bmatrix then what is |A| equal to?