SSC CGL MATHS QUIZ

In the given figure, O is the center of the circle, and $\angle A O B=100^{\circ}$. Find $\angle A C B$? 

$A B C$ is a triangle in which $A B=6 \mathrm{~cm}$, $B C=10 \mathrm{~cm}$ and $C A=8 \mathrm{~cm}$. What is the length of the altitude of the triangle drawn from vertex $A$ to $B C$?

The centroid of an equilateral triangle $\Delta \mathrm{ABC}$ is $\mathrm{G} .$ If $\mathrm{BC}=66 \mathrm{~cm}$, then what is the length (in $\mathrm{cm}$ ) of $A G$ is?

In a quadrilateral $\mathrm{ABCD}$, the bisectors of $\angle C$ and $\angle D$ meet at point $\mathrm{E}$. If $\angle C E D=67^{\circ}$ and $\angle A=57^{\circ}$, then the measure of $\angle B$ is

In the figure given below, find the distance PQ.

In $\triangle \mathrm{ABC}$, the bisector of $\angle \mathrm{B}$ meets $\mathrm{AC}$ at the point $\mathrm{D}$. If $\mathrm{AB}=12 \mathrm{~cm}, \mathrm{BC}=18 \mathrm{~cm}$ and $\mathrm{AC}=$ $15 \mathrm{~cm}$, then Find the length (in $\mathrm{cm}$) of $\mathrm{AD}$.

If $\triangle \mathrm{ABC}$ is isosceles and $\mathrm{AB}<3 \mathrm{~cm}, \mathrm{BC}=8$ $\mathrm{cm}$, then find correct statement.

In a rectangle $\mathrm{PQRS}, \mathrm{PQ}=14 \mathrm{~cm}, \mathrm{X}$ is a point on $S R$ such that $S X: X R=4: 3$ and $Q X$ $=10 \mathrm{~cm}$. If $\angle \mathrm{PXQ}=\mathrm{a}, \angle \mathrm{XPQ}=\mathrm{b}, \angle \mathrm{XQP}=\mathrm{c}$, then which of the following is correct?

$\mathrm{AB}$ is the diameter of a circle with centre $\mathrm{O}$ and $\mathrm{P}$ is a point on it. If $\angle \mathrm{POA}=120^{\circ}$, then the value of $\angle \mathrm{PBO}$ is:

In given figure chords $\mathrm{AB}$ and $\mathrm{CD}$ intersect each other at point $\mathrm{O}$. Find the length of $\mathrm{CO}$ -