Areas Quiz Set 010

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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

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 3

What is the smallest number of square tiles that can be laid fully, without cutting, on a floor 10 m by 64 m?

 A

160 .

 B

161 .

 C

159 .

 D

162 .

Soln.
Ans: a

The side of the square tile has to be HCF(10, 64) = 2. Hence, the required number is ${10 × 64}/{2 × 2}$ = 160.


Question 4

A rectangular wire 26 × 9 is re-aligned into a rectangle 13 × 27. 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

What is the cost of plastering, @50 paise per square meter, the walls and floor of a 26 m × 6 m. tank that is 8 meters high?

 A

Rs. 334 .

 B

Rs. 336 .

 C

Rs. 332 .

 D

Rs. 338 .

Soln.
Ans: a

The area to be plastered is $(2 × l × h) + (2 × b × h) + (l × b)$ = (2 × 26 × 8) + (2 × 6 × 8) + (26 × 6) = 668 sq. m. The cost = 668 × 0.50 = Rs. 334.


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Creative Commons License
This Blog Post/Article "Areas Quiz Set 010" 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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