Competitive Exams : Quantitative Aptitude - Mensuration (2D/3D) (Set 4)

Question 1

If the radius of a sphere is increased by 20%, find the percentage increase in its volume.

Calculate the percentage change.

Accepted Answer

A) 72.8%

Answer

B) 60%

Answer

C) 66.4%

Answer

D) 44%

Question 2

A rectangular field has length 40 mand breadth30 m. A path of 2 mwidth is constructed inside the boundary.

What is the area of the path in square meters?

Accepted Answer

C) 256 is wrong, it is 256. Correction: Area =$40 	imes 30 - 36 	imes 26 = 1200 - 936 = 264$

Answer

A) 256

Answer

B) 244

Answer

D) 280

Question 3

Two circular tracks of circumference 1000 mand1200 mare run at speeds of10 m/sand12 m/s.

When will they meet at the starting point?

Accepted Answer

B) 100 s

Answer

A) 500 s

Answer

C) 200 s

Answer

D) 300 s

Question 4

A cylinder and a cone have equal radii and heights.

What is the ratio of their volumes?

Accepted Answer

A) 3:1

Answer

B) 1:3

Answer

C) 2:1

Answer

D) 1:1

Question 5

A cube of side 6 cmis melted into small cubes of side2 cm.

How many small cubes are formed?

Accepted Answer

B) 27

Answer

A) 9

Answer

C) 18

Answer

D) 81

Question 6

The diagonal of a square is $10\sqrt{2}cm$.

What is its area?

Accepted Answer

A) 100 sq cm

Answer

B) 200 sq cm

Answer

C) 50 sq cm

Answer

D) 400 sq cm

Question 7

A circular garden has a diameter of 28 m.

What is the area of the garden? ($ ext{use } \pi = 22/7$)

Accepted Answer

C) 616

Answer

A) 154

Answer

B) 308

Answer

D) 1232

Question 8

A rhombus has diagonals 16 cmand12 cm.

Find its side length.

Accepted Answer

B) 10 cm

Answer

A) 8 cm

Answer

C) 12 cm

Answer

D) 14 cm

Question 9

The volume of a sphere is $4851cm^3$.

Find its radius.

Accepted Answer

A) 10.5 cm

Answer

B) 7 cm

Answer

C) 14 cm

Answer

D) 21 cm

Question 10

Base of a triangle is 12 cmand height is10 cm.

What is its area?

Accepted Answer

D) 60

Answer

A) 120

Answer

B) 30

Answer

C) 100

Question 11

A rectangular tank $10m imes 5m imes 2m$is filled with water.

How many liters of water can it hold?

Accepted Answer

A) 100000

Answer

B) 10000

Answer

C) 50000

Answer

D) 200000

Question 12

A cone has base radius 7 cmand slant height25 cm.

What is its total surface area?

Accepted Answer

C) 704 is wrong, calculation: $\pi r(r+l) = (22/7) 	imes 7 	imes 32 = 704$. Wait, 704 is correct.

Answer

A) 704

Answer

B) 550

Answer

D) 800

Question 13

A square and a circle have the same perimeter 44 cm.

Which has a larger area?

Accepted Answer

B) Circle

Answer

A) Square

Answer

C) Both equal

Answer

D) Cannot determine

Question 14

A hollow cylinder has outer radius 5 cm, inner radius 3 cm, and height 10 cm.

Find its volume.

Accepted Answer

D) 160\pi

Answer

A) 100\pi

Answer

B) 200\pi

Answer

C) 120\pi

Question 15

If side of a cube is doubled, volume increases by:

Calculate the percentage increase.

Accepted Answer

A) 700%

Answer

B) 300%

Answer

C) 100%

Answer

D) 800%

Question 16

A field is 100 mlong and80 mwide. A path5 mwide runs around the outside.

Find the path area.

Accepted Answer

C) 1900

Answer

A) 1500

Answer

B) 1800

Answer

D) 2000

Question 17

The ratio of radii of two cylinders is $2:3$and heights$5:3$.

Ratio of volumes?

Accepted Answer

B) 20:27

Answer

A) 10:9

Answer

C) 4:9

Answer

D) 5:3

Question 18

A semicircle has diameter 14 cm.

Find the perimeter.

Accepted Answer

D) 36

Answer

A) 22

Answer

B) 44

Answer

C) 33

Question 19

Area of an equilateral triangle is $16\sqrt{3}$.

Find the side.

Accepted Answer

A) 8

Answer

B) 4

Answer

C) 16

Answer

D) 12

Question 20

A cuboid has dimensions $6, 4, 3cm$.

Find the length of the space diagonal.

Accepted Answer

C) $\sqrt{61}$

Answer

A) 7

Answer

B) 8

Answer

D) 9

Set 5Competitive Exams : Quantitative Aptitude - Mensuration (2D/3D)