984
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:

In triangle ABC, the length of BC is less than twice the length of AB by 2 cm. The length of AC exceeds the length of AB by 10 cm. The perimeter is 32 cm. The length (in cm)of the smallest side of the triangle is:

 A) 10 B) 4 C) 6 D) 8

Explanation:

0 189
Q:

In triangle ABC, the length of BC is less than twice the length of AB by 3 cm. The length of AC exceeds the length of AB by 9 cm. The perimeter of triangle is 34 cm. The length (in cm) of the smallest side of the triangle is:

 A) 9 B) 10 C) 8 D) 7

Explanation:

2 295
Q:

A circle is inscribed in a triangle ABC. It touches sides AB, BC and AC at the points P, Q and R respectively. If BP = 5.4 cm, CQ =7.3 cm and AR = 6.1 cm, then the perimeter (in cm) of the ABC is:

 A) 37 B) 37.6 C) 37.25 D) 36

Explanation:

1 256
Q:

There are two circles of radius 5 cm and 3 cm respectively. The distance between their centres is 10 cm. The length (in cm) of a transverse common tangent is:

 A) 9 B) 8 C) 10 D) 6

Explanation:

0 206
Q:

In triangle ABC, the length of BC is less than twice the length of AB by 3 cm. The length of the AC exceeds the length of AB by 1 cm. The perimeter of the triangle is 34 cm. The length (in cm) of the smallest side of the triangle is:

 A) 10 B) 7 C) 9 D) 8

Explanation:

0 236
Q:

If each side of a rectangle is increased by 13%, then its area will increase by:

 A) 27.69% B) 13% C) 26% D) 21.69%

Explanation:

0 5926
Q:

Chords AB and CD of a circle intersect externally at P. If AB = 6 cm, CD = 3 cm and PB = 4 cm, then the length (in cm) of PD is:

 A) 5 B) 7 C) 6 D) 2

Explanation:

0 234
Q:

There is a polygon of 11 sides. How many triangles can be drawn by only using the vertices of the polygon?

 A) 180 B) 150 C) 165 D) 175