NDA || 25 day Challenge || Mini Mock 2020

If  and , then the complex number  is

If one root of the equation  be real , when ,then

 , then the range of  is :

The number of signals that can be sent by 6 flags of different colours taking one or more at a time is given by :

There are 200 individuals with a skin disorder, 120 had been exposed to the chemical C1, 50 to chemical C2, and 30 to both the chemicals C1 and C2 . Find the number of individuals exposed to Chemical C1 but not chemical C2.

If X =  and Y = , then find number of element in .

The derivative of  with respect to  at  is

The value of  so that the sum of squares of the roots of the equation  assume the least value, is

If , then  is equal to :

Let  be differentiable for all . If  and  . Then:

If  then the value of

What is the general Solution of the differential equation  ?

y = ae^2x + be^-3x is general solution of differential equation

The degree of the differential equation satisfying

If the vectors   are coplanar, then the value of  :

The vector c directed along the bisector of the angle between the vectors  and  , where  given by:

If ,  , and  are linearly dependent vectors and |c|= then:

If  and  then  is equal to:

The eccentricity of the hyperbola 16x² – 9y = 1 is

Convert decimal number  into binary number?