Areas Quiz Set 018


Your Score
Correct Answers:
Wrong Answers:
Unattempted:

Question 1

The diagonal and one side of a rectangle are 17 m and 15 m. What is the percentage saving of a man who walks along the diagonal instead of the two sides?

 A

$26{2/23}$%.

 B

$28{7/22}$%.

 C

$23{2/25}$%.

 D

$26{19/25}$%.

Soln.
Ans: a

The side = $√{17^2 - 15^2}$ = $√{289 - 225}$ = 8. So the saving = (15 + 8) - 17 = 6 meters. So the %-age saving is $6/23$ × 100 = ${600/23}$, which is same as: $26{2/23}$%.


Question 2

What is the cost of plastering, @50 paise per square meter, the walls and floor of a 12 m × 2 m. tank that is 22 meters high?

 A

Rs. 320 .

 B

Rs. 322 .

 C

Rs. 318 .

 D

Rs. 324 .

Soln.
Ans: a

The area to be plastered is $(2 × l × h) + (2 × b × h) + (l × b)$ = (2 × 12 × 22) + (2 × 2 × 22) + (12 × 2) = 640 sq. m. The cost = 640 × 0.50 = Rs. 320.


Question 3

The length and breadth of a rectangle are in the ratio 19 : 7. What is the perimeter if the area is 2128 sq. meters?

 A

208 meters.

 B

210 meters.

 C

206 meters.

 D

212 meters.

Soln.
Ans: a

Let L = 19x and B = 7x. We are given (19x × 7x) = 2128, which gives x = 4. So perimeter = 2 × ((19 × 4) + (7 × 4)) × = 208 meters.


Question 4

Two concentric circles of radii 11 and 4 cm are drawn on a paper. What is the area of the portion that is inside the outer circle but outside the inner circle?

 A

105π sq. cm.

 B

210π sq. m.

 C

11025π sq. m.

 D

52π sq. m.

Soln.
Ans: a

The required area is difference of the areas of the two circles. π($11^2 - 4^2$) = 105π sq. cm.


Question 5

What is the ratio of the perimeter of a circle of radius 38 units to that of a square having the circle's diameter as its side?

 A

π : 4.

 B

π : 2.

 C

38 : 3.

 D

38 : 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.


buy aptitude video tutorials


Creative Commons License
This Blog Post/Article "Areas Quiz Set 018" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2020-02-07. Published on: 2016-05-09

Posted by Parveen(Hoven),
Aptitude Trainer


Comments and Discussion