SSC CGL QUANT QUIZ

Question 1:

If $\mathrm{G}$ is the centroid of $\triangle \mathrm{ABC}$ and area of $\Delta \mathrm{ABC}$ is $48 \mathrm{~cm}^{2}$ then the area of $\Delta \mathrm{BGC}$ is

$32 \mathrm{~cm}^{2}$

$8 \mathrm{~cm}^{2}$

$16 \mathrm{~cm}^{2}$

$24 \mathrm{~cm}^{2}$

Question 2:

In the given figure, $\mathrm{AB}=10 \mathrm{~cm}, \mathrm{BC}=12 \mathrm{~cm}$ and $\mathrm{CA}=16 \mathrm{~cm} .$ Find $x, \mathrm{y}, \mathrm{z}$ respectively.

$(7,3,9)$

$(9,3,8)$

$(3,7,8)$

$(5,3,4)$

Question 3:

Angle $27^{\circ}$ is equivalent to (in radian measure):

$13 \pi / 20$

$3 \pi / 20$

$9 \pi / 20$

$5 \pi / 20$

Question 4:

In a triangle $\mathrm{ABC}$, incentre is $\mathrm{O}, \angle \mathrm{BOC}=112^{\circ}$, then the measure of $\angle \mathrm{BAC}$ is:

$36^{\circ}$

$40^{\circ}$

$44^{\circ}$

$52^{\circ}$

Question 5:

In the figure given below, if AB is a straight line then the value of x is :

$36^{\circ}$

$54^{\circ}$

$63^{\circ}$

$72^{\circ}$

Question 6:

The external bisectors of $\angle B$ and $\angle C$ of $\triangle A B C$ meet at point $\mathrm{P}$. If $\angle B A C=80^{\circ}$, the $\angle B P C$ is:

$50^{\circ}$

$40^{\circ}$

$80^{\circ}$

$100^{\circ}$

Question 7:

From the circumcenter I of the triangle $\mathrm{ABC}$, perpendicular ID is drawn on $\mathrm{BC}$. If $\angle \mathrm{BAC}=$ $60^{\circ}$, then the value of $\angle \mathrm{BID}$ is:

$75^{\circ}$

$60^{\circ}$

$45^{\circ}$

$80^{\circ}$

Question 8:

In $\triangle \mathrm{ABC}, \angle \mathrm{BAC}=90^{\circ}$ and $\mathrm{AD} \perp \mathrm{BC} .$ If $\mathrm{BD}=$ $4 \mathrm{~cm}$ and $\mathrm{CD}=9 \mathrm{~cm}$, then the length of the $\mathrm{AD}(\mathrm{in} \mathrm{cm})$ is?

$4.5$

$5.5$

$6$

$8$

Question 9:

Intersecting point of Altitude of a triangle is :

Circumcenter

Incenter

Orthocenter

None of these

Question 10:

If $I$ is the In-centre of $\triangle A B C$ and $\angle A=60^{\circ}$, then the value of $\angle B I C$ is:

$100^{\circ}$

$120^{\circ}$

$150^{\circ}$

$110^{\circ}$