- 11.
Of the two square fields, the area of the one is 1 hectare, while anothe one is broader by 1%. There differences in area is:

A.) 200 m B.) 201 m C.) 201 m D.) None of these Answer: Option 'C'

Area of one square field = 10000 m^{2}

10000 × 1 = 10000

Side of this field = √10000 m = 100 m

Side of another square = 101 m

Difference of areas = [ 101^{2}- 100^{2}] m^{2}

[101+100][101-100] m^{2}

(201)(1) m^{2}= 201 m^{2} - 12. Find the cost of carpenting a room 13 m long and 9 m broad with a carpet 100 Cm broad at the rate of Rs.20 per meter.

A.) 117 m B.) 107 m C.) 116 m D.) 117 m ^{2}Answer: Option 'A'

Area of the carper = Area of the room

= 13 × 9 => 117 m^{2}

Breadth of the carpet = 100 Cm = 1m

Length of carpet = Area/Breadth => 117/1 = 177 m. - 13. A girl walking at the rate of 9 Km per hour crosses a square field diagonally in 12 seconds. The area of the field is:

A.) 460 sq.m B.) 600 sq.m C.) 510 sq.m D.) 450 sq.m Answer: Option 'D'

Distance covered in (9×1000)/(3600) × 12 = 30 m

Diagonal of squarre field = 30 m.

area of square field = 30^{2}/2

= 900/2 = 450 Sq.m - 14. The inner circumference of a circle race track 18 m wide is 880 m. Find the radius of the outer circle.

A.) 140 m ^{2}B.) 150 m C.) 140 m D.) None of these Answer: Option 'C'

Let inner radius be r metres

Then 2πr = 640

2 × 22/7 r = 880

44/7 r = 880

r = 880 × 7/44 = 140 m - 15.& The perimeter of a square circumscribed about a ciecle of radius r is:

A.) 12 r B.) 16 r C.) 64 r D.) 8 r Answer: Option 'D'

Each side of the square = 2r

Perimeter of the square = (4×2r) = 8r

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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