Areas Quiz Set 020

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Question 1

The diagonal and one side of a rectangle are 10 m and 8 m. What is the perimeter of the rectangle?

 A

28 m.

 B

30 m.

 C

26 m.

 D

32 m.

Soln.
Ans: a

The side = $√{10^2 - 8^2}$ = $√{100 - 64}$ = 6. So the perimeter = 2 × (8 + 6) = 28 m.


Question 2

The diagonal and one side of a rectangle are 26 m and 24 m. What is the perimeter of the rectangle?

 A

68 m.

 B

70 m.

 C

66 m.

 D

72 m.

Soln.
Ans: a

The side = $√{26^2 - 24^2}$ = $√{676 - 576}$ = 10. So the perimeter = 2 × (24 + 10) = 68 m.


Question 3

Two concentric circles of radii 14 and 7 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

147π sq. cm.

 B

294π sq. m.

 C

21609π sq. m.

 D

73π sq. m.

Soln.
Ans: a

The required area is difference of the areas of the two circles. π($14^2 - 7^2$) = 147π sq. cm.


Question 4

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 5

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.


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Creative Commons License
This Blog Post/Article "Areas Quiz Set 020" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-08-12.

Posted by Parveen(Hoven),
Aptitude Trainer


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