SSC CGL QUANT(GEOMETRY)QUIZ

Question 1:

Find the altitude of the smallest sides are $6 \mathrm{~cm}, 8 \mathrm{~cm}$ and $10 \mathrm{~cm}$.

$8 \mathrm{~cm}$

$20 \mathrm{~cm}$

$6 \mathrm{~cm}$

$12 \mathrm{~cm}$

Question 2:

Two equal sides of an isosceles triangle are ‘b’cm and the length of unequal side is ‘a’cm then the area of triangle is:

$\frac{b}{4} \sqrt{4 b^{2}-a^{2}}$

$\frac{a}{4} \sqrt{4 b^{2}+a^{2}}$

$\frac{b}{4} \sqrt{4 b^{2}+a^{2}}$

$\frac{a}{4} \sqrt{4 b^{2}-a^{2}}$

Question 3:

Which of the following is true for obtuse angle triangle?

The sum of the square of two sides of triangle is equal to the square of third side

The sum of the square of two sides of triangle is greater than the square of third side

The sum of the square of two sides of triangle is less than the square of third side

None of these

Question 4:

Find the area of triangle (in cm²) whose sides are 5cm,7cm and 10cm.

$2 \sqrt{33}$

$3 \sqrt{33}$

$2 \sqrt{66}$

$6 \sqrt{33}$

Question 5:

In a triangle $\mathrm{ABC}$, if $\angle \mathrm{A}$ is $75^{\circ}$ and $\angle \mathrm{B}$ is $50^{\circ}$ then which one is true?

$\mathrm{BC}>\mathrm{AB}>\mathrm{AC}$

$\mathrm{BC}<\mathrm{AB}<\mathrm{AC}$

$\mathrm{AB}>\mathrm{AC}>\mathrm{BC}$

$\mathrm{AB}<\mathrm{AC}<\mathrm{BC}$

Question 6:

What is the perimeter of a right-angled triangle whose sides (making $90^{\circ}$ ) are $20 \sqrt{3} \mathrm{~cm}$ and $15 \sqrt{3} \mathrm{~cm}$ ?

$60 \sqrt{3} \mathrm{~cm}$

$55 \sqrt{3} \mathrm{~cm}$

$65 \sqrt{3} \mathrm{~cm}$

$50 \sqrt{3} \mathrm{~cm}$

Question 7:

Refer to the given figure and answer the question that follows.

If $A B$ is parallel to $E C$ and $\angle B C D=72^{\circ}$, then what is the value of $\angle B A C$ ?

$75^{\circ}$

$73^{\circ}$

$72^{\circ}$

$67^{\circ}$

Question 8:

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 9:

The bisector of $\angle B$ in $\triangle A B C$ meets $\mathrm{AC}$ at $\mathrm{D}$. If $\mathrm{AB}=12 \mathrm{~cm}, \mathrm{BC}=18 \mathrm{cm}$ and $\mathrm{AC}=15 \mathrm{~cm}$, then the length of $\mathrm{AD}$ (in $\mathrm{cm}$ ) is :

6

5

12

9

Question 10:

A tangent is drawn from a point P to a circle, which meets the circle at T such that PT=10.5 cm . A secant PAB intersects the circle in points A and B. If PA=7 cm, what is the length (in cm ) of the chord AB ?

8.5

8.75

7.75

8.45