SSC CGL MATHS QUIZ

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Question 1:

A triangle with the lengths of its sides proportional to the numbers 7, 24 and 30 is:

Question 2:

Angles of a quadrilateral are in the ratio 3:5:3:4. Then, $40^{\circ}$ more than the greatest angle of the quadrilateral is equal to:

Question 3:

In a triangle $\mathrm{ABC}, \mathrm{AB}=12 \mathrm{~cm}$ and $\mathrm{BC}=15 \mathrm{~cm}$, then which of the following statements is true?

Question 4:

The bisector of $\angle B$ in $\triangle A B C$ meets $\mathrm{AC}$ at $\mathrm{D}$. If $\mathrm{AB}=15 \mathrm{~cm}, \mathrm{BC}=24 \mathrm{cm}$ and $\mathrm{AC}=26 \mathrm{~cm}$, then the length of $\mathrm{AD}$ (in $\mathrm{cm}$ ) is :

Question 5:

A tangent is drawn from a point P to a circle, which meets the circle at T such that PT=21 cm . A secant PAB intersects the circle in points A and B. If PA=14 cm, what is the length (in cm ) of the chord AB ?

Question 6:

In $\triangle A B C, \angle A=92^{\circ}$. If $\mathrm{I}$ is the incentre of the triangle, then the measure of $\angle B I C$ is:

Question 7:

A cyclic quadrilateral $\mathrm{ABCD}$ is drawn in a circle with centre $\mathrm{O} . \mathrm{A}$ and $\mathrm{C}$ are joined to $\mathrm{O}$. If $\angle \mathrm{ABC}=4 \mathrm{p}$ and $\angle \mathrm{ADC}=5 \mathrm{p}$, what is the measure (in degrees) of the $\angle \mathrm{AOC}$ reflex?

Question 8:

In the given figure, find the value of PR.

Question 9:

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

Question 10:

$ABC$ is a triangle. $A B=5 \mathrm{~cm}, A C=\sqrt{41} \mathrm{~cm}$ and $B C=8 \mathrm{~cm}_{}$, $A D$ is perpendicular to $B C$. What is Area of triangle $ABD$?