# Problems on Areas Question and Answers : Quantitative Aptitude

Mensuration : Quantitative Aptitude
1. 21.   If the radius of a circle decreased by 50% its area is decreased by:

 A.) 75% B.) 50% C.) 85% D.) 65%

Original area = πr2

New area = π(r/2)2 = (πr2)/4

Reduction in area = [(πr2 - (πr2)/4]2 = (3πr2)/4

Reduction percent = ((3πr2)/4 × 1/(πr2 × 100) % = 75%

2. 22.  A rectangular room 14 m long, 12 m broad is surrounded by a varandah, 3 m wide. Find the area of the varandah?

 A.) 190 m2 B.) 170 m2 C.) 180 m3 D.) 180 m2

Area of varandah = (l+b+2p)2p

= (14 + 12 + 6 ) 6

= 180 m2

3. 23.   The area of the largest circle that can be drawn inside a square of side 28 Cm in length is:

 A.) 616 Cm3 B.) 626 Cm2 C.) 619 Cm2 D.) 616 Cm2

Radius of required circle = 14 Cm

its area = 22/7 × 14 × 14

44 × 14 = 616 Cm2

4. 24.  Area of four walls of a room is 99 m2. The length and breadth of the room are 7.5 m and 3.5m respectively. The height of the room is:

 A.) 4.5 Cm B.) 5.5 m C.) 4.5 m D.) 5.5 Cm

2(7.5+3.5)×h = 99

2(11)h = 99

22h = 99

h = 99/22 = 9/2 = 4.5 m

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