List of top Mathematics Questions asked in COMEDK UGET

If $n$ is a positive integer which is relatively prime to $6,$ and if $n$ has $8$ divisors, then $12n$ has

If $\sin(\pi \cos \theta) = \cos(\pi \sin \theta),$ then $\sin 2 \theta$ equals

If $x$ and $y$ are two real numbers such that $x + y = 1$ and $x^3 + y^3 = 4,$ then $x^5 + y^5$ is

Of all open tanks in the form of a rectangular parallelopiped with a square.base having a fixed volume, the one that has the least inner surface area has the property that its

If the greatest angle of a cyclic quadrilateral is 3 times the least angle, then the radian measure of the least angle is

If $x$ and $y$ are related by the relation$x^2 - ax+ y^2 = 0$, then $d^2y/dx^2$ is equal to

The maximum area of a rectangle which can be inscribed in an ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$ is