Areas Quiz Set 005

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Question 1

The diagonal and one side of a rectangle are 13 m and 5 m. What is the area of the rectangle?

 A

60 sq. m.

 B

62 sq. m.

 C

58 sq. m.

 D

64 sq. m.

Soln.
Ans: a

The side = $√{13^2 - 5^2}$ = $√{169 - 25}$ = 12. So the area = 5 × 12 = 60 sq. m.


Question 2

The length and breadth of a rectangle are respectively increased by 13% and 10%. What is the % increase in the area?

 A

$24{3/10}$%.

 B

$28{1/9}$%.

 C

$19{5/12}$%.

 D

$22{3/4}$%.

Soln.
Ans: a

If x% and y% is the increase in the dimensions, then the area of a rectangle increases by $(x + y + {xy}/100)$% = $(13 + 10 + {13 × 10}/100)$% = ${243/10}$, which is same as: $24{3/10}$%


Question 3

A gun is fired towards a circular board consisting of two concentric circles of radii 12 and 3 cm. If each bullet is able to hit the board, what is the probability that it will strike the ring, i.e., the area between the inner and outer circles?

 A

${15/16}$.

 B

${5/7}$.

 C

1/2.

 D

${15/31}$.

Soln.
Ans: a

The area of the ring is equal to the difference of the areas of the two circles. π($12^2 - 3^2$) = 135π sq. cm. The total area is π × 122 = 144π. The probability of hitting the ring is ${135π}/{144π}$ = ${15/16}$.


Question 4

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

 A

14 m.

 B

16 m.

 C

12 m.

 D

18 m.

Soln.
Ans: a

The side = $√{5^2 - 3^2}$ = $√{25 - 9}$ = 4. So the perimeter = 2 × (3 + 4) = 14 m.


Question 5

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%


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Creative Commons License
This Blog Post/Article "Areas Quiz Set 005" 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


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