- A circular road is constructed outside a square field. The perimeter of the square field is 200 ft. If the width of the road is 7√2 ft. and cost of construction is Rs.100 per sq. ft., find the lowest possible cost to construct 50% of
the total road.

A.) Rs.125,400 B.) Rs.140,800 C.) Rs.235,400 D.) None of these Answer: Option 'A'

What is to be found?

We have to find the lowest cost to construct 50% of the total road.

Data Given

A circular road is constructed outside a square field. So, the road is in the shape of a circular ring.

If we have to determine the lowest cost of constructing the road, we have to select the smallest circle that can be constructed outside the square.

Therefore, the inner circle of the ring should circumscribe the square.

Perimeter of the square = 200 ft.

Therefore, side of the square field = 50 ft.

The diagonal of the square field is the diameter of the circle that circumscribes it.

Measure of the diagonal of the square of side 50 ft = 50√2 ft.

Therefore, inner diameter of the circular road = 50√2.

Hence, inner radius of the circular road = 25√2 ft.

Then, outer radius = 25√2 + 722 = 32√2

The area of the circular road

= π r_{o}^{2}- π r_{i}^{2}, where ro is the outer radius and r_{i}is the inner radius.

= 22/7 × {(32 √2)^{2}– (25√2)^{2}}

= 22/7 × 2 ×(32 + 25)×(32 – 25)

= 2508 sq. ft.

If per sq. ft. cost is Rs. 100, then cost of constructing the road = 2508 × 100 = Rs.2,50,800.

Cost of constructing 50% of the road = 50% of the total cost = 250800/2 = Rs.1,25,400

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.

For SBI PO Mains - Computer Questions Set - 2

For SBI PO Mains - Computer Questions Set - 1

Current Affairs - SBI PO Mains 2016 Quiz Set - 5

Current Affairs - SBI PO Mains 2016 Quiz Set - 4

Today asked Questions SBI Clerk 2016 25th June 2016

SBI PO Mains Current Affairs Quiz Set - 3

SBI PO Mains Syllogism

SBI PO Mains Seating-Arrangements

SBI PO Mains Current Affairs Quiz Set - 2

SBI PO Mains Current-Affairs Quiz Set - 1

SBI PO Prelims Aptitude Practice Quiz Set - 2

SBI PO Prelims Quant Practice Quiz set - 1

SBI Clerk Mains 2016 - CA Practice Quiz set - 14

SBI Clerk Mains 2016 - CA Practice Quiz set - 13

SBI Clerk Mains 2016 - CA Practice Quiz set - 12

Current Affairs For All Competitive Exams

SBI Clerk Mains 2016 - CA Practice Quiz set - 11

Current Affairs Quiz set - 10 SBI Clerk Mains

Current Affairs Quiz set - 09 SBI Clerk Mains

Cloze Test SBI Clerk mains Practice Test -1

Current Affairs set - 07 SBI Clerk Mains Exam

Line Graph Data Interpretation For SBI Clerk Mains Exam

Aptitude SBI Clerk Mains Exam Practice Test - 1