R.K. Singh Solutions for Chapter: SSC Advanced Maths. : Previous Years Solved Papers, Exercise 13: SSC G.L. P.T. Exam.: 19.05.2013

If $\mathrm{x}=\sqrt[3]{5}+2$, then the value of ${\mathrm{x}}^3-6{\mathrm{x}}^2+12\mathrm{x}-13$ is:

A tower standing on a horizontal plane subtends a certain angle at a point $160 \mathrm{m}$ apart from the foot of the tower. On walking $100 \mathrm{m}$ towards it, the tower is found to subtend an angle twice as before. The height of the tower is?

$\angle \mathrm{A},\angle \mathrm{B},\angle \mathrm{C}$ are three angles of a triangle. If $\angle \mathrm{A}-$ $\angle \mathrm{B}=15°,\angle \mathrm{B}-\angle \mathrm{C}=30°$ then $\angle \mathrm{A},\angle \mathrm{B}$ and $\angle \mathrm{C}$ are:

If $\mathrm{A} \mathrm{B} \mathrm{C}$ is an equilateral $\mathrm{\Delta }$ and $\mathrm{D}$ is a point on $\mathrm{BC}$such that $\mathrm{AD}\perp \mathrm{BC}$, then

$∆\mathrm{ABC}$ is an isosceles $\mathrm{\Delta }$ and $\mathrm{AB}=\mathrm{AC}=2\mathrm{a}$ unit, $\mathrm{BC}=\mathrm{a}$ unit. Draw $\mathrm{AD}\perp \mathrm{BC}$ and find the length of $\mathrm{AD}$.

If$(\mathrm{x}-\mathrm{a})(\mathrm{x}-\mathrm{b})=1$ and $\mathrm{a}-\mathrm{b}+5=0$ then the value of $(\mathrm{x}-\mathrm{a}{)}^3-\frac{1}{(\mathrm{x}-\mathrm{a}{)}^3}$ will be:

What is the value of $\sqrt{2\sqrt{4\sqrt{2\sqrt[3]{4\sqrt{2\sqrt[3]{4\dots \dots \dots }}}}}} ?$

If ${\mathrm{a}}^2+{\mathrm{b}}^2+{\mathrm{c}}^2=2(\mathrm{a}-\mathrm{b}-\mathrm{c})-3$ then $4\mathrm{a}-3\mathrm{b}+$$5 \mathrm{c}=?$