Areas Quiz Set 017 | Maths Aptitude Quiz Questions and Mock Test on Areas Set 17 | mock tests for Bank PO, SSC Exams, SO Clerical Exam, GATE Exam, LIC AO, GIC AO, etc.

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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?

9π sq. m.

18π sq. m.

81π sq. m.

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.

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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?

216 meters.

218 meters.

214 meters.

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.

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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?

$23{9/17}$%.

$26{1/16}$%.

$20{3/19}$%.

$23{14/19}$%.

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: $23{9/17}$%.

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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?

Rs. 682 .

Rs. 684 .

Rs. 680 .

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.

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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?

207π sq. cm.

414π sq. m.

42849π sq. m.

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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