SSC CGL MATHS QUIZ

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Question 1:

The areas of two similar triangles $\triangle A B C$ and $\triangle D E F$ are $256 \mathrm{~cm}^{2}$ and $81 \mathrm{~cm}^{2}$ respectively Find the ratio of their Corresponding heights?

Question 2:

In $\triangle A B C, \angle B=90^{\circ}, A B=8 \mathrm{~cm}$ and $B C=15 \mathrm{~cm}$. $D$ is a point on $B C$ such that $A D$ bisects $\angle A$. The length (in cm) of $B D$ is:

Question 3:

$\mathrm{AB}$ and $\mathrm{CD}$ are two parallel chords drawn on two opposite sides of their parallel diameter such that $\mathrm{AB}=6 \mathrm{~cm}, \mathrm{CD}=8 \mathrm{~cm} .$ If the radius of the circle is $5 \mathrm{~cm}$, the distance between the chords, in $\mathrm{cm}$, is:

Question 4:

$\mathrm{ABCD}$ is a cyclic quadrilateral $\mathrm{AB}$ and $\mathrm{DC}$ when produced meet at $\mathrm{P}$. If $\mathrm{PA}=16, \mathrm{~cm} \mathrm{~PB}$ $=12 \mathrm{~cm},  \mathrm{PC}=8 \mathrm{~cm}$, then the length of $\mathrm{CD}$ is:

Question 5:

$\mathrm{BC}$ is the chord of a circle with centre O. A is a point on major arc $\mathrm{BC}$ as shown in the given figure. What is the value of $\angle B A C+\angle O B C=$ ?

Question 6:

In the given figure, $\mathrm{PB}=5 \sqrt{3} \mathrm{~cm}, \mathrm{BR}=$ $8 \sqrt{3} \mathrm{~cm}$ and $\mathrm{PQ}=26 \mathrm{~cm}$. If $\mathrm{AB}$ is parallel to QR, then what is the value of $A Q$ (in $\mathrm{cm}) ?$

Question 7:

Two chords AB and CD intersect at a point P inside the circle .If AB is 25 cm, CP is 10 cm and BP is 5 cm, find DP.

Question 8:

In the given figure, if $A B=10 \mathrm{~cm}, C D: 7 \mathrm{~cm}, S D: 4 \mathrm{~cm}$ and $A S=5 \mathrm{~cm}$, then $B C=$ ?

Question 9:

In the given figure, $L$ is any point on the bisector of the acute angle $\mathrm{ABC}$ and the line ML is parallel to BC. Which one of the following is correct?

Question 10:

In a circle centred at $\mathrm{O}$ and diameter $96 \mathrm{~cm}$, a tangent AP is drawn from an external point $A$. If $O A=73 \mathrm{~cm}$, then the length of tangent $A P$ is: