NDA || Mini Mock 2020

If  and  are positive quantities, then the condition for the difference between the arithmetic mean and the geometric mean to be greater than 1 is

Calculate the value of determinant:  :

If the roots of the equation  are in A.P., then their common difference will be:

If X is skew – symmetric matrix of order 3 , then the matrix X⁴ is:

Let g(x) be a polynomial of second degree. If g(1) = g(-1) and l, m and n are in arithmetic progression , then  are in

A.

What will be the sum of n terms of the series

If is A an orthogonal matrix of order 3 and  then which of the following is/are correct?

1) |AB| = ± 47

2) AB = BA

Select the correct answer using the code given below:

If x is any real number, then  belongs to which one of the following intervals?

From a deck of cards, cards are taken out with replacement. What is the probability that the fourteenth card taken out is an ace?

Find the equation of the normal to the curve  at the point whose ordinate is 1

 is equal to

Consider the following in respect of the differential equation :

1) The degree of the differential equation is 1

2) The order of the differential equation is 2

Which of the above statements is/are correct?

, where  and  denotes the greatest integer function,is

For what value of a , f(x) = -x³ +4ax² +2x – 5 is decreasing for ∀ x.

What is  equal to?

What is  equal to?

value of a for which  ,  and  are coplanar, is

Find 2a if a = + 2 -3 ?

The point (1, 3) and (5, 1) are two opposite vertices of a rectangle. The other two vertices lie on the line y = 2x + c. What is the value of c?

If the number 235 in the decimal system is converted into a binary system, then what is the resulting number?