Area problems
- 1. A tank is 25 m long, 12 m wide and 6 m deep. The cost of plastering its walls and bottom at 75 paise per sq. m, is:
Options- A. rs.458
- B. rs,558
- C. rs.658
- D. rs.758 Also asked in: Bank Exams, Bank PO
Correct Answer: rs,558
Explanation:
Area to be plastered= [2(l + b) x h] + (l x b)
= [2(25 + 12) x 6] + (25 x 12)
= (444 + 300)
= 744 sq.m
Cost of plastering = Rs.744 x (75/100)
- 2. Two concentric circles form a ring. The inner and outer circumferences of ring are 5187 m and 3527 m respectively. Find the width of the ring.
Options- A. 4
- B. 5
- C. 6
- D. 7 Also asked in: AIEEE, Bank Exams, CAT, Bank Clerk, Bank PO
Correct Answer: 4
Explanation:
Let the inner and outer radii be r and R metres.
Then
=> Width of the ring = (R - r) = (12 - 8) m = 4 m.
- 3. If the radius of a circle is decreased by 50% , find the percentage decrease in its area.
Options- A. 75%
- B. 65%
- C. 35%
- D. 25% Also asked in: Bank Exams, Bank PO
Correct Answer: 75%
Explanation:
let original radius = r and new radius = (50/100) r = r/2
original area =
and new area =
decrease in area =
*
*100 = 75%
- 4. The length of a rectangle is 12 cm. What is the width if the area is 72 cm ?
Options- A. 6cm
- B. 5cm
- C. 3cm
- D. 4cm Also asked in: Bank Exams, Bank PO
Correct Answer: 6cm
Explanation:
A=lb
- 5. Find the perimeter of the rectangle or square with the given dimensions l = 5 feet, w = 2 feet?
Options- A. 11ft
- B. 13ft
- C. 14ft
- D. 15ft Also asked in: AIEEE, Bank Exams, CAT, Analyst, Bank Clerk, Bank PO
Correct Answer: 14ft
Explanation:
We know that,
Perimeter of rectangle = 2(L+W) = 2(5 + 2) = 2 (7) = 14 fts.
- 6. Find the perimeter of the rectangle or square with the given dimensions s = 3 cm
Options- A. 12
- B. 13
- C. 14
- D. 15 Also asked in: Bank Exams, Bank PO
Correct Answer: 12
Explanation:
P=4s
- 7. In a wheelchair slalom event, athletes weave around cones and race to the finish line. A diagram of the rectangular course is shown. Find the perimeter of the course
Options- A. 32
- B. 42
- C. 62
- D. 92 Also asked in: Bank Exams, Bank PO
Correct Answer: 92
Explanation:
P = 2l + 2w
- 8. If the ratio of area of rectangle to its perimeter is 60:11. And length and breadth are in the ratio 6 : 5. Find length of rectangle.
Options- A. 40 units
- B. 30 units
- C. 13 units
- D. 24 units Also asked in: Bank Exams
Correct Answer: 24 units
Explanation:
Ratio of length and breadth is 6 : 5
? Length = 6x
Breadth = 5x
? Area = l x b = 30x2
? Perimeter = 2 (l + b) = 2(6x + 5x) =22x
? (30*x*x)/(22x)= 60/11
? X = 4
? Length = 6x = 6 x 4 = 24 units
- 9. The base of a parallelogram is twice its height. If the area of the parallelogram is 338 sq.cm. Find its height?
Options- A. 13 cm
- B. 14 cm
- C. 16 cm
- D. 12 cm Also asked in: Bank Exams
Correct Answer: 13 cm
Explanation:
Let height =x Then, base =2x
2x * x = 338
=>x=13
- 10. What is the measure of an interior angle of a regular decagon?
Options- A. 120°
- B. 140°
- C. 144°
- D. 150° Also asked in: Bank Exams
Correct Answer: 144°
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