MCA Entrance Previous Year Question Bank

The domain of the function $\sqrt{{\log }_{0.4}\frac{(x-1)}{(x+5)}\cdot \frac{1}{x^2-6}}$ is:

If $f(x)+f(1-x)=2$, then the value of $f\left(\frac{1}{2001}\right)+f\left(\frac{2}{2001}\right)+\cdots +f\left(\frac{2000}{2001}\right)$ is:

If $A={\cos }^2\theta +{\sin }^4\theta$, then for all values of $\theta$:

What is the value of $a$ for which $f(x)=\{\begin{array}{llc}\sin x,& \text{if }x\le \frac{\pi }{2}& \\ ax,& \text{if }x& gt;\frac{\pi }{2}\end{array}$ is continuous?

If the function $f:[1,\infty )\to [1,\infty )$ is defined by $f(x)=2^{x(x-1)}$, then $f^{-1}(x)$ is:

The value of $\sin (2{\sin }^{-1}(0.6))$ is:

Let $f(x)=\frac{1}{\sqrt{1-x}}+\frac{1}{\sqrt{x+3}}$. Then the domain of the real function $f$ is:

Set $A$ has $3$ elements and set $B$ has $4$ elements. The number of injection that can be defined from $A$ to $B$ is:

If ${\sin }^{-1}\frac{2a}{1+a^2}-{\cos }^{-1}\frac{1-b^2}{1+b^2}={\tan }^{-1}\frac{2x}{1-x^2}$ then $x$ is equal to:

Which of the following functions is the inverse of itself?