Time Left - 06:00 mins

AE-JE Foundation: Quantitative Aptitude (Mensuration & Geometry)

Attempt now to get your rank among 88 students!

Question 1

A garden is 24 m long and 14 m wide. There is a path 1 m wide outside the garden along its sides. If the path is to be constructed with square marble tiles of 20 cm × 20 cm, then find the number of tiles required to cover the path:

Question 2

The diameters of two cylinders are in the ratio 3:2 and their volumes are equal. The ratio of their heights is

Question 3

In the given figure, find the value of ∠BED where AB || CD.

Question 4

In the following figure

and

. Find the area of shaded region?

Question 5

A cube is marked in the following manner on all the faces. The cube is then cut to form equal sized cubes leaving the shaded portion behind. The shaded portion is then melted and reshaped to form a new cube. What is the approximate side length of the new cube if each side of old cube was 10?

Question 6

In the given figure, PQRSTU is a regular hexagon of side 12 cm. What is the area (in cm²) of triangle SQU?

Question 7

Radius of a circular park is 64 meter and a 6 meter wide road is circumscribing the park. The road has to be covered with bricks. Find the cost of fixing bricks at the rate of Rs 21 per square meter?