# KVS MATHEMATICS QUIZ 70

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## Question 1:

The perimeter of a rectangular field is 324 metres and its sides are in the ratio 5: $4 .$ Then the sides of the field are: (in metres).

## Question 2:

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

## Question 3:

In $\mathrm{ABC}, \mathrm{AB}=6 \mathrm{~cm}$ and $\mathrm{AD}$ is the angle bisector of $\mathrm{A}$. If $\mathrm{BD}: \mathrm{DC}=3: 2$, them what will be the value of $\mathrm{AC}$ ?

## Question 4:

The circles of same radius $17 \mathrm{~cm}$ intersect each other at $A$ and $B$. If $A B=16 \mathrm{~cm}$, then the distance between their centres (in $\mathrm{cm}$ ) is:

## Question 5:

$P Q$ and $R S$ are two chords of a circle intersecting at $O$. If $P O=8 \mathrm{~cm}, O Q=12 \mathrm{~cm}$ and $O R=6 \mathrm{~cm}$ then find $O S$?

## Question 6:

Two circles touch each other externally at T. RS is a direct common tangent to the two circles touching the circles at $\mathrm{P}$ and $\mathrm{Q} . \angle T P Q=42^{\circ}, \angle P Q T$ (in degrees) is:

## Question 7:

$\mathrm{O}$ is the orthocenter of the triangle $\mathrm{ABC}$. If $\angle \mathrm{BOC}=120^{\circ}$, then $\angle \mathrm{BAC}$ is:

## Question 8:

$\mathrm{AB}$ is a diameter of a circle with centre at $\mathrm{O}$. $\mathrm{DC}$ is a chord of it such that $\mathrm{DC} \mid \mathrm{AB}$. If $\angle \mathrm{BAC}=20^{\circ}$, then $\angle \mathrm{ADC}$ is equal to:

## Question 9:

In a triangle $\mathrm{ABC}, \mathrm{D}$ is the midpoint of side $\mathrm{BC}$ such that $\mathrm{AD}=\mathrm{CD}$. If $\angle B=37^{\circ}$, then $\angle C$ is equal to:

## Question 10:

In a parallelogram $\mathrm{ABCD}, \angle \mathrm{D}=76^{\circ}$. The bisectors of $\angle \mathrm{C}$ and $\angle \mathrm{D}$ meet a point at $\mathrm{O}$. What is the measure of $\angle \mathrm{COD}$ ?