SSC CHSL MATHS QUIZ

In a triangle $PQR$, side $QP$ is produced to a point $S$. If $\mathrm{\angle }RPS={108}^{\circ }$ and $\mathrm{\angle }Q={20}^{\circ }$, then $3\mathrm{\angle }R+2\mathrm{\angle }Q$ is equal to:

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

In the figure, $L$ is the centre of the circle, and ML is the perpendicular to LN. If the area of the $\mathrm{\Delta }\mathrm{MLN}$ is 36 , then the area of the circle is:

If the centre of the incircle of the triangle ABC is O and ∠BOC = 110°, then what is the value of ∠BAC?

In $\mathrm{△}ABC$, the sides $\mathrm{AB}$ and $\mathrm{AC}$ are produced to $\mathrm{P}$ and $\mathrm{Q}$, respectively. The bisectors of $\mathrm{\angle }\mathrm{PBC}$ and $\mathrm{\angle }\mathrm{QCB}$ intersect at a point $\mathrm{O}$. If $\mathrm{\angle }\mathrm{A}={56}^{\circ }$, then $\mathrm{\angle }\mathrm{BOC}$ equals:

In $\mathrm{△}ABC,\mathrm{\angle }B={90}^{\circ },AB=28\mathrm{cm}$ and $BC=45\mathrm{cm}$. $D$ is a point on $BC$ such that $AD$ bisects $\mathrm{\angle }A$. The length (in cm) of $BD$ is:

The perimeters of two similar triangles $\mathrm{\Delta }\mathrm{ABC}$ and $\mathrm{\Delta }\mathrm{PQR}$ are $36\mathrm{cm}$ and $24\mathrm{cm}$ respectively. If $\mathrm{PQ}=10\mathrm{cm}$, then $\mathrm{AB}$ is:

A, B, C, D are four points on a circle. AC and BD intersect at a point $\mathrm{E}$ such that $\mathrm{\angle }\mathrm{BEC}=$ ${120}^{\circ }$ and $\mathrm{\angle }\mathrm{ECD}={40}^{\circ }\cdot \mathrm{\angle }\mathrm{BAC}$ is: