Area problems
- 1. A man runs round a circular field of radius 50m at the speed of 12 km/hr. What is the time taken by the man to take twenty rounds of the field?
Options- A. 220/7 min
- B. 110/7 min
- C. 90/7 min
- D. 230/7 min Also asked in: Bank Exams, Bank PO
Correct Answer: 220/7 min
Explanation:
speed = 12 km/h =
distance covered =
time taken = distance /speed =
- 2. A rectangular lawn 55m by 35m has two roads each 4m wide running in the middle of it. One parallel to the length and the other parallel to breadth. The cost of graveling the roads at 75 paise per sq meter is
Options- A. rs.58
- B. rs.158
- C. rs.258
- D. rs.358 Also asked in: Bank Exams, Bank PO
Correct Answer: rs.258
Explanation:
area of cross roads = (55 x 4) + (35 x 4)- (4 x 4) = 344sq m
cost of graveling = 344 x (75/100) = Rs. 258
- 3. The cost of fencing a square field @ Rs. 20 per metre is Rs.10.080.How much will it cost to lay a three meter wide pavement along the fencing inside the field @ Rs. 50 per sq m
Options- A. 53800
- B. 43800
- C. 83800
- D. 73800 Also asked in: Bank Exams, Bank PO
Correct Answer: 73800
Explanation:
perimeter = total cost / cost per m = 10080 /20 = 504m
side of the square = 504/4 = 126m
breadth of the pavement = 3m
side of inner square = 126 - 6 = 120m
area of the pavement = (126 x126) - (120 x 120) = 246 x 6 sq m
cost of pavement = 246*6*50 = Rs. 73800
- 4. The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 800 per sq.metre.
Options- A. Rs.15500
- B. Rs.16500
- C. Rs.17500
- D. Rs.18500 Also asked in: Bank Exams, Bank PO
Correct Answer: Rs.16500
Explanation:
Area = 5.5 × 3.75 sq. metre.
Cost for 1 sq. metre. = Rs. 800
Hence total cost = 5.5 × 3.75 × 800 = 5.5 × 3000 = Rs. 16500
- 5. The difference between the length and breadth of a rectangle is 23 m. If its perimeter is 206 m, then its area is:
Options- A. 2520
- B. 2420
- C. 2320
- D. 2620 Also asked in: Bank Exams, Bank PO
Correct Answer: 2520
Explanation:
We have: (l - b) = 23 and 2(l + b) = 206 or (l + b) = 103.
Solving the two equations, we get: l = 63 and b = 40.
Area = (l x b) = (63 x 40) = 2520 sq.m
- 6. The inner circumference of a circular race track, 14 m wide, is 440 m. Find radius of the outer circle
Options- A. 44
- B. 22
- C. 33
- D. 84 Also asked in: Bank Exams, Bank PO
Correct Answer: 84
Explanation:
Let inner radius be r metres. Then, 2 r = 440 ; r = = 70 m.
Radius of outer circle = (70 + 14) m = 84 m.
- 7. The length of a rectangle is twice its breadth. If its length is decreased by 5 cm and breadth is increased by 5 cm, the area of the rectangle is increased by 75 sq.cm. Find the length of the rectangle?
Options- A. 10cm
- B. 20cm
- C. 30cm
- D. 40cm Also asked in: Bank Exams, Bank PO
Correct Answer: 20cm
Explanation:
Let the breadth of the given rectangle be x then length is 2x.
thus area of the given rect is
after dec 5cm from length and inc 5cm breadth , new lenght becomes 2x-5 and breadth is x+5.thus new area =(2x-5)(x+5)=
since new area is 75 units greater than original area thus
5x=75+25
5x=100
therefore x=20
hence length of the rectangle is 40 cm.
- 8. The area of a rectangle is 460 square metres. If the length is 15% more than the breadth, what is the breadth of the rectangular field?
Options- A. 20 m
- B. 30 m
- C. 40 m
- D. 50 m Also asked in: Bank Exams, Bank PO
Correct Answer: 20 m
Explanation:
Let breadth=x meters. Then, Length = meters
Given that,
=> x = 20
Breadth = 20
- 9. A circular piece of thin wire is converted into a rhombus of side 11 cm. Find the diameter of the circular piece?
Options- A. 28 cm
- B. 3.5 cm
- C. 7 cm
- D. 14 cm Also asked in: AIEEE, Bank Exams, CAT, GATE, Bank Clerk, Bank PO
Correct Answer: 14 cm
Explanation:
Circular piece is 4 x 11 = 44 cm long,
Then Circumference of circle is given by,
44 = pi x D, where D is the diameter
D = 44 / pi
Take pi = 22 / 7, then
D = 44 / (22/7) = (44 x 7) / 22
D = 14 cm.
- 10. The area of a circle of radius 5 is numerically what percent its circumference?
Options- A. 150%
- B. 250%
- C. 350%
- D. 450% Also asked in: Bank Exams, Bank PO
Correct Answer: 250%
Explanation:
required percentage = %
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