SSC CGL QUANT QUIZ(MENSURATION)

Question 1:

The perimeter of a rhombus is $60 \mathrm{~cm}$ and one of its diagonal is $24 \mathrm{~cm}$. The area of rhombus is how much?

208${~cm}^{2}$

216${~cm}^{2}$

232${~cm}^{2}$

336${~cm}^{2}$

Question 2:

Diameter of wheel is $6 \mathrm{~m}$ and the Wheel revolves 28 times in a minute. To cover $5.280 \mathrm{~km}$ distance, the wheel will take?

$10 \mathrm{~min}$

$20 \mathrm{~min}$

$30 \mathrm{~min}$

$90 \mathrm{~min}$

Question 3:

If the wheel of a bicycle rotates 600 times in $1.32 \mathrm{~km}$, then find its radius.

$3.50 \mathrm{~cm}$

$35 \mathrm{~cm}$

$0.35 \mathrm{~cm}$

$350 \mathrm{~cm}$

Question 4:

The base of a right pyramid is a square of side $14 \mathrm{~cm}$ and its height is $24 \mathrm{~cm}$ then the area or its lateral surface is.

$700 \mathrm{~cm}^{2}$

$1008 \mathrm{~cm}^{2}$

$672 \mathrm{~cm}^{2}$

$536 \mathrm{~cm}^{2}$

Question 5:

The base of a regular pyramid is an equilateral triangle having side of $18 \mathrm{~cm}$. If its height is $10 \sqrt{3} \mathrm{~cm}$, then find the volume?

$850 \mathrm{~cm}^{3}$

$740 \mathrm{~cm}^{3}$

$810 \mathrm{~cm}^{3}$

$750 \mathrm{~cm}^{3}$

Question 6:

The area of base of a right circular cone is $441\pi \mathrm{cm}^{2}$ and its height is $28 \mathrm{~cm}$. What is the curved surface area of cone ?

$2220\mathrm{~cm}^{2}$

$2310\mathrm{~cm}^{2}$

$2140\mathrm{~cm}^{2}$

$2320\mathrm{~cm}^{2}$

Question 7:

A Cube of $1728 \mathrm{~m}^{3}$ is transformed in a sphere. Find the radius of the sphere.

$8 \sqrt[3]{3} \pi$

$6 \sqrt[3]{3} \pi$

$4 \sqrt[3]{3} \pi$

None of these

Question 8:

The height of a cone is $45 \mathrm{~cm}$ and perimeter of its base is $176 \mathrm{~cm}$. What is the curved surface area of the cone? (take $\pi=\frac{22}{7}$ )

$4559 \mathrm{~cm}^{2}$

$4664 \mathrm{~cm}^{2}$

$4881 \mathrm{~cm}^{2}$

$4224 \mathrm{~cm}^{2}$,

Question 9:

In an equilateral $\triangle A B C$, the madians $\mathrm{A} \mathrm{D}$, $\mathrm{BE}$ and $\mathrm{CF}$ intersect each other at point $\mathrm{G}$. if the area of triangle AGE is $12 \sqrt{3} \mathrm{~cm}^{2}$, then find the lentght of AD.

$12 \sqrt{2}$

$8 \sqrt{2}$

$10 \sqrt{2}$

$6 \sqrt{2}$

Question 10:

In an euqilateral $\triangle A B C$, the medians, $\mathrm{AD}$, $\mathrm{BE}$ and $\mathrm{CF}$ intersect each other at point $\mathrm{G}$. If the area of quardrilateral AEGF is $86 \sqrt{3} \mathrm{~cm}^{2}$, then find the length of $A D$ in $(\mathrm{cm})$.

$4 \sqrt{258} \mathrm{~cm}$

$2 \sqrt{258} \mathrm{~cm}$

$6 \sqrt{253} \mathrm{~cm}$

$2 \sqrt{257} \mathrm{~cm}$