SSC CGL MATHS QUIZ

Question 1:

The side ST of $\triangle \mathrm{RST}$ is produced to $\mathrm{P}$. If $\angle R T P=133^{\circ}$ and $\angle S=\frac{8}{11} \angle R$ , then the measure of $\angle R$ is

$56^{\circ}$

$66^{\circ}$

$77^{\circ}$

$88^{\circ}$

Question 2:

ABCD is a cyclic quadrilateral in which $\mathrm{AB}=16.5 \mathrm{~cm}, \mathrm{BC}=x \mathrm{~cm}, \mathrm{CD}=11 \mathrm{~cm}$, $A D=19.8 \mathrm{~cm}$, and $B D$ is bisected by $A C$ at O . What is the value of $x$ ?

$12.8 \mathrm{~cm} $

$12.4 \mathrm{~cm} $

$13.2 \mathrm{~cm}$

$13.8 \mathrm{~cm} $

Question 3:

In the figure, a circle touches all the four sides of a quadrilateral $A B C D$ whose sides $A B=12.6 \mathrm{~cm}$, $A D=11.8 \mathrm{~cm}$ and $C D=8.9 \mathrm{~cm}$. The length of $B C$ (in $\mathrm{cm}$ ) is:

$15.5$

$8.7$

$9.3$

$9.7$

Question 4:

PRT is a tangent to a circle with centre O, at the point $R$ on it. Diameter SQ of the circle is produced to meet the tangent at $\mathbf{P}$ and $\mathbf{Q R}$ is joined. If $\angle \mathbf{Q R P}$ $=28^{\circ}$, then the measure of $\angle S P R$ is:

$29^{\circ}$

$34^{\circ}$

$62^{\circ}$

$32^{\circ}$

Question 5:

Read the given question and decide which of the following information is sufficient to answer the question.

What is the value of ∠ACB ?

1)

2) $\angle ADB=60^{\circ}$

Only 2 is sufficient

Both 1 and 2 are sufficient

Only 1 is sufficient

Either 1 or 2 is sufficient.

Question 6:

Read the given question and decide which of the information is sufficient to answer the question?

What is the value of $\angle A C D$

Information:

Either 1 or 2 is enough

Only 1 is enough

Neither 1 nor 2 is enough

Only 2 is enough

Question 7:

In the given figure, O is the centre of the circle and $\angle POQ=58^{\circ}$ . What is the measure (in degrees) of $\angle \mathrm{PRQ}$ ?

122

151

161

141

Question 8:

Side $\mathrm{BC}$ of a triangle $\mathrm{ABC}$ is produced to a point $\mathrm{D}$. If $\angle \mathrm{A}=40^{\circ}$ and $\mathrm{AC}$ $=\mathrm{BC}$, then $2 \angle \mathrm{ACD}+3 \angle \mathrm{B}$ is equal to:

$280^{\circ}$

$260^{\circ}$

$240^{\circ}$

$220^{\circ}$

Question 9:

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

$28^{\circ}$

$42^{\circ}$

$56^{\circ}$

$62^{\circ}$

Question 10:

In a quadrilateral $A B C D, \angle C=102^{\circ}$ and $\angle D=58^{\circ}$. The bisectors of $\angle A$ and $\angle B$ meet at $\mathrm{P}$. What is the measure of $\angle A \mathrm{~PB}$ ?

$62^0$

$78^0$

$80^{\circ}$

$100^{\circ}$