Areas Quiz Set 001

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Question 1

The difference between the length and breadth of a rectangle is 2 m. What is the area if the perimeter is 8 meters?

 A

3 sq. meters.

 B

5 sq. meters.

 C

9 sq. meters.

 D

7 sq. meters.

Soln.
Ans: a

If L and B are the length and breadth of the rectangle, then L - B = 2 and 2(L + B) = 8. Solving, we get L = 3 and B = 1, so the area is 3 × 1 = 3 sq. m. TIP: Sometimes long multiplications can be avoided by looking at the units place of the given options.


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 diagonal and one side of a rectangle are 5 m and 3 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 = $√{5^2 - 3^2}$ = $√{25 - 9}$ = 4. So the saving = (3 + 4) - 5 = 2 meters. So the %-age saving is $2/7$ × 100 = ${200/7}$, which is same as: $28{4/7}$%.


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

What is the smallest number of square tiles that can be laid fully, without cutting, on a floor 10 m by 64 m?

 A

160 .

 B

161 .

 C

159 .

 D

162 .

Soln.
Ans: a

The side of the square tile has to be HCF(10, 64) = 2. Hence, the required number is ${10 × 64}/{2 × 2}$ = 160.


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Creative Commons License
This Blog Post/Article "Areas Quiz Set 001" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-04-07.

Posted by Parveen(Hoven),
Aptitude Trainer


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