Areas Quiz Set 008

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Question 1

The diagonal and one side of a rectangle are 29 m and 21 m. What is the perimeter of the rectangle?

 A

82 m.

 B

84 m.

 C

80 m.

 D

86 m.

Soln.
Ans: a

The side = $√{29^2 - 21^2}$ = $√{841 - 441}$ = 20. So the perimeter = 2 × (21 + 20) = 82 m.


Question 2

The length of a square is increased by 1%, what is the % increase in area?

 A

2.01%.

 B

2%.

 C

5%.

 D

4.02%.

Soln.
Ans: a

If x% is the increase in length, then area increases by $(2x + x^2/100)$%. Putting x = 1, the increase is $(2 × 1 + 1^2/100)$% = 2.01%


Question 3

The diagonal and one side of a rectangle are 5 m and 3 m. What is the area of the rectangle?

 A

12 sq. m.

 B

14 sq. m.

 C

10 sq. m.

 D

16 sq. m.

Soln.
Ans: a

The side = $√{5^2 - 3^2}$ = $√{25 - 9}$ = 4. So the area = 3 × 4 = 12 sq. m.


Question 4

What is the ratio of the perimeter of a circle of radius 12 units to that of a square having the circle's diameter as its side?

 A

π : 4.

 B

π : 2.

 C

12 : 3.

 D

12 : 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 5

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: $28{4/7}$%.


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Creative Commons License
This Blog Post/Article "Areas Quiz Set 008" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-06-24.

Posted by Parveen(Hoven),
Aptitude Trainer


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