Question : $\frac{25 \% \text { of }(50 \% \text { of } 30 \% \text { of } 150)}{40 \% \text { of } 2250}$ is equal to:

Option 1: 0.625%

Option 2: 0.225%

Option 3: 0.825%

Option 4: 0.25%

Question : What will be the value of $\frac{\sin 30^{\circ} \sin 40^{\circ} \sin 50^{\circ} \sin 60^{\circ}}{\cos 30^{\circ} \cos 40^{\circ} \cos 50^{\circ} \cos 60^{\circ}}$?

Option 1: $\frac{1}{\sqrt{2}}$

Option 2: $\sqrt{3}$

Option 3: $1$

Option 4: $\frac{1}{\sqrt{3}}$

Question : The value of $5–\frac{8+2\sqrt{15}}{4}–\frac{1}{8+2\sqrt{15}}$ is equal to:

Option 1: $\frac{1}{4}$

Option 2: $1$

Option 3: $\frac{2}{3}$

Option 4: $\frac{1}{2}$

Question : If $2\cot x=5$, then what is $\frac{2 \cos x-\sin x}{2 \cos x+\sin x}$ equal to?

Option 1: $\frac{3}{4}$

Option 2: $\frac{1}{3}$

Option 3: $\frac{5}{6}$

Option 4: $\frac{2}{3}$

Question : If $\cos \theta=\frac{5}{13}$, then the value of $\tan ^2 \theta+\sec ^2 \theta$ is equal to:

Option 1: $\frac{303}{25}$

Option 2: $\frac{313}{25}$

Option 3: $\frac{233}{25}$

Option 4: $\frac{323}{25}$

Question : The value of $ \frac{(p-q)^3+(q-r)^3+(r-p)^3}{12(p-q)(q-r)(r-p)}$, where $p \neq q \neq r$, is equal to:

Option 1: $\frac{1}{9}$

Option 2: $\frac{1}{3}$

Option 3: $\frac{1}{4}$

Option 4: $\frac{1}{2}$