Areas Quiz Set 007

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Question 1

A rectangular wire 26 × 9 is re-aligned into a rectangle 13 × 27. What is the percentage increase in area?

 A

50 %.

 B

52 %.

 C

48 %.

 D

54 %.

Soln.
Ans: a

By inspection, the length has been halved, and breadth tripled. The %-age increase is known through shortcut formulas to be 50%. So the increase is 50%.


Question 2

What is the ratio of the perimeter of a circle of radius 4 units to that of a square having the circle's diameter as its side?

 A

π : 4.

 B

π : 2.

 C

4 : 3.

 D

4 : π.

Soln.
Ans: a

Let X be the radius of the circle, so the side of the square is 2X. The ratio of the perimeters = ${2 × π × X}/{4 × (2X)}$ = π/4.


Question 3

The length and breadth of a rectangular area are in the ratio 5 : 3. What is the length of the field if a car travelling at 12 km/h covers one round of the rectangle in 320 minutes?

 A

20 km.

 B

22 km.

 C

18 km.

 D

24 km.

Soln.
Ans: a

Let L = 5x and B = 3x. Perimeter = 2 × (5x + 3x) = speed × time = (12 × 320)/60 = 64 km. So x = 4, and L = 5x = 20 km.


Question 4

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 5

What is the smallest number of square tiles that can be laid fully, without cutting, on a floor 36 m by 34 m?

 A

306 .

 B

307 .

 C

305 .

 D

308 .

Soln.
Ans: a

The side of the square tile has to be HCF(36, 34) = 2. Hence, the required number is ${36 × 34}/{2 × 2}$ = 306.


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Creative Commons License
This Blog Post/Article "Areas Quiz Set 007" 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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