Areas Quiz Set 005

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Question 1

A largest possible circle is cut out of a square sheet having a side of 12 meter. What is the area of the hollow sheet?

 A

144 - 36π sq. m.

 B

12 + 72π sq. m.

 C

12 + 1296π sq. m.

 D

144 - 18π sq. m.

Soln.
Ans: a

The radius of the circle is 12/2 = 6 m. So its area = π × 6 × 6 = 36π sq. m. The left area is $12^2 - 36$π = $144 - 36$π sq. m.


Question 2

The length and breadth of a rectangle are in the ratio 13 : 6. What is the area if the perimeter is 266 meters?

 A

3822 sq. meters.

 B

3824 sq. meters.

 C

3820 sq. meters.

 D

3826 sq. meters.

Soln.
Ans: a

Let L = 13x and B = 6x. We are given 2 × (13x + 6x) = 266, which gives x = 7. So area = L × B = (13 × 7) × (6 × 7) = 3822 sq. meters.


Question 3

The length and breadth of a rectangle are respectively increased by 4% and 1%. What is the % increase in the area?

 A

$5{1/25}$%.

 B

$6{7/24}$%.

 C

$3{20/27}$%.

 D

$7{4/9}$%.

Soln.
Ans: a

If x% and y% is the increase in the dimensions, then the area of a rectangle increases by $(x + y + {xy}/100)$% = $(4 + 1 + {4 × 1}/100)$% = ${126/25}$, which is same as: $5{1/25}$%


Question 4

What is the length of the fence required if a square plot of area 484 sq. m. has to fenced on three sides?

 A

66 meters.

 B

68 meters.

 C

64 meters.

 D

70 meters.

Soln.
Ans: a

Area of a square is L2 = 484, which gives L = 22. If three sides have to be fenced, the required length = 3 × L = 3 × 22 = 66 m.


Question 5

What is the cost of plastering, @50 paise per square meter, the walls and floor of a 8 m × 2 m. tank that is 36 meters high?

 A

Rs. 368 .

 B

Rs. 370 .

 C

Rs. 366 .

 D

Rs. 372 .

Soln.
Ans: a

The area to be plastered is $(2 × l × h) + (2 × b × h) + (l × b)$ = (2 × 8 × 36) + (2 × 2 × 36) + (8 × 2) = 736 sq. m. The cost = 736 × 0.50 = Rs. 368.


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This Blog Post/Article "Areas Quiz Set 005" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-06-22.

Posted by Parveen(Hoven),
Aptitude Trainer


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