- 21.
If the radius of a circle decreased by 50% its area is decreased by:

A.) 75% B.) 50% C.) 85% D.) 65% Answer: Option 'A'

Original area = πr^{2}

New area = π(r/2)^{2}= (πr^{2})/4

Reduction in area = [(πr^{2}- (πr^{2})/4]^{2}= (3πr^{2})/4

Reduction percent = ((3πr^{2})/4 × 1/(πr^{2}× 100) % = 75% - 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 m ^{2}B.) 170 m ^{2}C.) 180 m ^{3}D.) 180 m ^{2}Answer: Option 'D'

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

= (14 + 12 + 6 ) 6

= 180 m^{2} - 23. The area of the largest circle that can be drawn inside a square of side 28 Cm in length is:

A.) 616 Cm ^{3}B.) 626 Cm ^{2}C.) 619 Cm ^{2}D.) 616 Cm ^{2}Answer: Option 'D'

Radius of required circle = 14 Cm

its area = 22/7 × 14 × 14

44 × 14 = 616 Cm^{2} - 24. Area of four walls of a room is 99 m
^{2}. 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 Answer: Option 'C'

2(7.5+3.5)×h = 99

2(11)h = 99

22h = 99

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

Students can learn and improve on their Cognitive and Mathematical Fast Calculation skills and prepare for competitive examinations like...

- All I.B.P.S and Public Sector Bank Competitive Exam
- Common Aptitude Test (CAT) Exams
- UPSC Paper-II or CSAT Exams
- SSC Competitive Exams
- Defence Competitive Exams
- L.I.C / G.I.C AO and Clerk Competitive Exams
- Railway Competitive Exam
- University Grants Commission (UGC)
- Career Aptitude Test (IT Companies) and etc.

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