766
Q:

# If each side of a square is increased by 25%, find the percentage change in its area?

 A) 65.25 B) 56.25 C) 65 D) 56

Explanation:

let each side of the square be a , then area = $a2$

As given that The side is increased by 25%, then

New side = 125a/100 = 5a/4

New area = $5a42$

Increased area= $25a216-a2$

Increase %=$9a2/16a2*100$  % = 56.25%

Q:

A right circular cylinder has height 28 cm and radius of base 14 cm. Two hemispheres of radius 7 cm each are cut from each of the two bases of the cylinder. What is the total surface area (in cm2) of the remaining part?

 A) 3842 B) 4312 C) 3296 D) 4436

Explanation:

0 21
Q:

A cube is placed inside a cone of radius 20 cm and height 10 cm, one of its face being on the base of the cone and vertices of opposite face touching the cone. What is the length (in cm) of side of the cube?

 A) 5 B) 6 C) 8 D) 9

Explanation:

0 24
Q:

In the given figure, four identical semicircles are drawn in a quadrant. XA = 7 cm. What is the area (in sq.cm) of shaded region ?

 A) 70 B) 140 C) 77 D) 84

Explanation:

0 21
Q:

In the given figure, ABCDEF is a regular hexagon of side 12 cm. P, Q and R are the mid points of the sides AB, CD and EF respectively. What is the area (in sq.cm) of triangle PQR?

 A) 27√6 B) 81√3 C) 54√3 D) 54√6

Explanation:

0 9
Q:

The area of a regular hexagon is equal to the area of the square. What is the ratio of the perimeter of the regular hexagon to the perimeter of square?

 A) 63 : 36 B) 23 : 62 C) 63 : 2 D) 63 : 23

Explanation:

0 12
Q:

In the given figure, two squares of sides 8 cm and 20 cm are given. What is the area (in sq.cm) of the shaded part?

 A) 120/7 B) 160/7 C) 180/7 D) 240/13

Explanation:

0 12
Q:

In the given figure, PQRS is a square of side 8 cm. PQO = 60 deg. What is the area (in sq.cm) of the triangle POQ?

 A) 32√3 B) 24[(√3) – 1] C) 48[(√3) – 1] D) 16[3 – (√3)]

Explanation:

0 6
Q:

In the given figure, in a right angle triangle ABC, AB = 12 cm and AC = 15 cm. A square is inscribed in the triangle. One of the vertices of square coincides with the vertex of triangle. What is the maximum possible area (in cm.sq) of the square?

 A) 1296/49 B) 25 C) 1225/36 D) 1225/64