Areas Quiz Set 019

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Question 1

What is the area of the largest circle that can fit completely inside a square of side 4 meters?

 A

4π sq. m.

 B

8π sq. m.

 C

16π sq. m.

 D

2π sq. m.

Soln.
Ans: a

The radius of such a circle is 4/2 = 2 m. So its area = π × 2 × 2 = 4π sq. m.


Question 2

The diagonal and one side of a rectangle are 10 m and 8 m. What is the percentage saving of a man who walks along the diagonal instead of the two sides?

 A

$28{4/7}$%.

 B

$34{1/2}$%.

 C

$21{4/9}$%.

 D

$24{5/9}$%.

Soln.
Ans: a

The side = $√{10^2 - 8^2}$ = $√{100 - 64}$ = 6. So the saving = (8 + 6) - 10 = 4 meters. So the %-age saving is $4/14$ × 100 = ${200/7}$, which is same as: $28{4/7}$%.


Question 3

What is the smallest number of square tiles that can be laid fully, without cutting, on a floor 6 m by 98 m?

 A

147 .

 B

148 .

 C

146 .

 D

149 .

Soln.
Ans: a

The side of the square tile has to be HCF(6, 98) = 2. Hence, the required number is ${6 × 98}/{2 × 2}$ = 147.


Question 4

The length and breadth of a rectangle are in the ratio 19 : 2. What is the area if the perimeter is 294 meters?

 A

1862 sq. meters.

 B

1864 sq. meters.

 C

1860 sq. meters.

 D

1866 sq. meters.

Soln.
Ans: a

Let L = 19x and B = 2x. We are given 2 × (19x + 2x) = 294, which gives x = 7. So area = L × B = (19 × 7) × (2 × 7) = 1862 sq. meters.


Question 5

What is the smallest number of square tiles that can be laid fully, without cutting, on a floor 57 m by 12 m?

 A

76 .

 B

77 .

 C

75 .

 D

78 .

Soln.
Ans: a

The side of the square tile has to be HCF(57, 12) = 3. Hence, the required number is ${57 × 12}/{3 × 3}$ = 76.


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Creative Commons License
This Blog Post/Article "Areas Quiz Set 019" 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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