Areas Quiz Set 017

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Question 1

What is the area of the largest circle that can fit completely inside a square of side 6 meters?

 A

9π sq. m.

 B

18π sq. m.

 C

81π sq. m.

 D

4.5π sq. m.

Soln.
Ans: a

The radius of such a circle is 6/2 = 3 m. So its area = π × 3 × 3 = 9π sq. m.


Question 2

The length and breadth of a rectangle are in the ratio 16 : 11. What is the perimeter if the area is 2816 sq. meters?

 A

216 meters.

 B

218 meters.

 C

214 meters.

 D

220 meters.

Soln.
Ans: a

Let L = 16x and B = 11x. We are given (16x × 11x) = 2816, which gives x = 4. So perimeter = 2 × ((16 × 4) + (11 × 4)) × = 216 meters.


Question 3

The diagonal and one side of a rectangle are 26 m and 24 m. What is the percentage saving of a man who walks along the diagonal instead of the two sides?

 A

$23{9/17}$%.

 B

$26{1/16}$%.

 C

$20{3/19}$%.

 D

$23{14/19}$%.

Soln.
Ans: a

The side = $√{26^2 - 24^2}$ = $√{676 - 576}$ = 10. So the saving = (24 + 10) - 26 = 8 meters. So the %-age saving is $8/34$ × 100 = ${400/17}$, which is same as: $23{9/17}$%.


Question 4

What is the cost of plastering, @50 paise per square meter, the walls and floor of a 38 m × 14 m. tank that is 8 meters high?

 A

Rs. 682 .

 B

Rs. 684 .

 C

Rs. 680 .

 D

Rs. 686 .

Soln.
Ans: a

The area to be plastered is $(2 × l × h) + (2 × b × h) + (l × b)$ = (2 × 38 × 8) + (2 × 14 × 8) + (38 × 14) = 1364 sq. m. The cost = 1364 × 0.50 = Rs. 682.


Question 5

Two concentric circles of radii 16 and 7 cm are drawn on a paper. What is the area of the portion that is inside the outer circle but outside the inner circle?

 A

207π sq. cm.

 B

414π sq. m.

 C

42849π sq. m.

 D

103π sq. m.

Soln.
Ans: a

The required area is difference of the areas of the two circles. π($16^2 - 7^2$) = 207π sq. cm.


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This Blog Post/Article "Areas Quiz Set 017" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2019-08-18.

Posted by Parveen(Hoven),
Aptitude Trainer


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