CDS MATHEMATICS MENSURATION QUIZ 18

Question 1:

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 $(\mathrm{cm})$.

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

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

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

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

Question 2:

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 3:

The three different face diagonals of a cuboid are 39,40 and 41 respectively. Find the diagonal of the cuboid.

49

48

42

46

Question 4:

A solid sphere of radius $2 \mathrm{~cm}$ is melted to convert in to a wire of length is $100 \mathrm{~cm}$. The radius of the wire.

$0.24 \mathrm{~cm}$

$0.27 \mathrm{~cm}$

$0.48 \mathrm{~cm}$

$0.33 \mathrm{~cm}$

Question 5:

The edges of a rectangular box area in ratio $2: 3: 4$ and its surface area is $832 \mathrm{~cm}^{2}$ then find volume of the box .

$1520 \mathrm{~cm}^{3}$

$1505 \mathrm{~cm}^{3}$

$1496 \mathrm{~cm}^{3}$

$1536 \mathrm{~cm}^{3}$

Question 6:

A circular pavement was to be built around a square park of side is $12 \mathrm{~cm}$. The maximum width of pavement is $4 \mathrm{~m}$. calculate the cost of cementing the pavement at Rs. 16 per $\mathrm{m}^{2}$.

Rs.$2724 \cdot 48$

Rs.$2224 \cdot 50$

Rs.$2924 \cdot 45$

Rs.$2624 \cdot 49$

Question 7:

The area of two similar triangles $\mathrm{T}_{1}$ and $\mathrm{T}_{2}$ are 25 and 36 sq. unit. what is the ratio of their corresponding perimeter ?

$5: 6$

$25: 26$

$36: 42$

$6: 5$

Question 8:

A wire when bent in the form of a square enclosed a region of area $112.36 \mathrm{~cm}^{2}$. If the same wire is bent into the form of a circle, then the area of the circle is.

$124.36 \mathrm{~cm}^{2}$

$156.38 \mathrm{~cm}^{2}$

$142.70 \mathrm{~cm}^{2}$

$120.30 \mathrm{~cm}^{2}$

Question 9:

The area of a right angle triangle is 2520 $\mathrm{cm}^{2}$ and its hypotenuse is $106 \mathrm{~cm}$. Then find the perimeter.

250

252

156

224

Question 10:

If the difference between the circumference and diameter of a circcle is $120 \mathrm{~cm}$ then the radius of the circle must be.

$28 \mathrm{~cm}$

$32 \mathrm{~cm}$

$14 \mathrm{~cm}$

$21 \mathrm{~cm}$