MCA Entrance Previous Year Question Bank

The circle whose diameter has endpoints $(2,4)$ and $(6,8)$ has centre:

How many 3-digit numbers can be formed using digits $1,2,3,4,5$ without repetition?

A function $f:A\to B$ is one-one (injective) if:

If A={a,b,c}, then the number of subsets of A is:

Subtracting 30% of a number from the number, we get the result as 35. The number is:

Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First, the women chose the chairs from amongst marked 1 to 4; and then men selected the chairs from amongst the remaining. The number of possible arrangements is:

If $y=\log (m{\cos }^{-1}x)$ is a solution of the differential equation $(1-x^2)\frac{d^{2}y}{d{x}^2}-x\frac{dy}{dx}=k{e}^{-2y}$, then the value of $k$ is:

The solution curve of $\frac{dy}{dx}=\frac{y^2-2xy-x^2}{y^2+2xy-x^2}$ with the initial condition $y(-1)=1$ is:

An ellipse passes through the point $(-4,1)$ and its axes are along the axes of coordinates. If the line $x-4y-10=0$ is a tangent to it, then its equation is:

The angle between the pair of straight lines $y^2{\sin }^2\theta -xy{\sin }^2\theta +x^2({\cos }^2\theta -1)=0$ is