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Aptitude - Area - Discussion

@ : Home > Aptitude > Area > General Questions - Discussion

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"You cannot shake hands with a clenched fist."
- Indira Gandhi
2. 

An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is:

[A]. 2%[B]. 2.02%
[C]. 4%[D]. 4.04%

Answer: Option B

Explanation:

100 cm is read as 102 cm.

A1 = (100 x 100) cm2 and A2 (102 x 102) cm2.

(A2 - A1) = [(102)2 - (100)2]

= (102 + 100) x (102 - 100)

= 404 cm2.

Percentage error = 404 x 100 % = 4.04%
100 x 100


Ramesh said: (Sun, Mar 6, 2011 11:24:41 PM)    
 
Sir Percentage error is not understanding. Please solve the answer.

Sakshi said: (Mon, Mar 7, 2011 02:13:49 AM)    
 
We can also get the percentage by this.

Percentage error = 404/100 = 4.04

Anbu said: (Sun, Dec 4, 2011 05:51:33 PM)    
 
(A2 - A1) = [(102)2 - (100)2] How it come?

Please advise

Amrita said: (Sat, Dec 10, 2011 08:09:56 PM)    
 
To find out error we got to subtract it first.

Shreya Singh said: (Fri, Feb 3, 2012 02:51:24 PM)    
 
In this type of % some usefull idea is to take default no as 100 and in question 2% is error. Hence our no is 100 error no is 102.

So solve further with square formula:

Area= (side)* (side)

Mazher said: (Wed, Feb 8, 2012 11:32:07 PM)    
 
Why we are taking this three 100's ?

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