Areas Quiz Set 003

Advertisement


Your Score
Correct Answers:
Wrong Answers:
Unattempted:

Question 1

What is the area of the largest square that can be drawn inside a circle of radius 4 m?

 A

32 sq. m.

 B

33 sq. m.

 C

31 sq. m.

 D

34 sq. m.

Soln.
Ans: a

If the radius of the circle is R, then the side of an inscribed square is $√2 × R$, so the area is 2 × R2 = 2 × 42 = 32 sq. m.


Question 2

The length and breadth of a rectangular area are in the ratio 3 : 1. What is the length of the field if a car travelling at 20 km/h covers one round of the rectangle in 48 minutes?

 A

6 km.

 B

8 km.

 C

4 km.

 D

10 km.

Soln.
Ans: a

Let L = 3x and B = 1x. Perimeter = 2 × (3x + 1x) = speed × time = (20 × 48)/60 = 16 km. So x = 2, and L = 3x = 6 km.


Question 3

The length of a square is increased by 4%, what is the % increase in area?

 A

8.16%.

 B

17%.

 C

11%.

 D

16.32%.

Soln.
Ans: a

If x% is the increase in length, then area increases by $(2x + x^2/100)$%. Putting x = 4, the increase is $(2 × 4 + 4^2/100)$% = 8.16%


Question 4

A rectangular wire 18 × 11 is re-aligned into a rectangle 9 × 33. 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 5

A rectangular wire 22 × 3 is re-aligned into a rectangle 11 × 9. 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%.


buy aptitude video tutorials


Creative Commons License
This Blog Post/Article "Areas Quiz Set 003" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-05-17.

Posted by Parveen(Hoven),
Aptitude Trainer


Advertisement