MCA Entrance Previous Year Question Bank

Exact value of $\sec \frac{7\pi }{12}$ is:

The maximum value of $(\cos {\alpha }_1)(\cos {\alpha }_2)\dots (\cos {\alpha }_n)$ where $0\le {\alpha }_1,{\alpha }_2,\dots ,{\alpha }_n\le \frac{\pi }{2}$ and $(\cot {\alpha }_1)(\cot {\alpha }_2)\dots (\cot {\alpha }_n)=1$ is:

A harbour lies in a direction $60^{\circ }$ South of West from a fort and at a distance $30\text{ km}$ from it. A ship sets out from the harbour at noon and sails due East at $10\text{ km}$ an hour. The time at which the ship will be $70\text{ km}$ from the fort is:

Which of the following is correct?

The general value of $\theta$ satisfying the equation $2{\sin }^2\theta -3\sin \theta -2=0$ is:

The value of $\frac{1-{\tan }^{2}15^{\circ }}{1+{\tan }^{2}15^{\circ }}$ is:

The general solution of $\sqrt{3}\cos x+\sin x=3$ is:

If $\tan \theta =\frac{b}{a}$, then the value of $a\cos 2\theta +b\sin 2\theta$ is:

Find a value of $\sqrt{2+\sqrt{2+2\cos 4\theta }}$:

If $\cos \theta -4\sin \theta =1$, find $\sin \theta +4\cos \theta$: