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Aptitude - Simplification - Discussion

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

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"Everything should be made as simple as possible, but not simpler."
- Albert Einstein
14. 

(469 + 174)2 - (469 - 174)2 = ?
(469 x 174)

[A]. 2[B]. 4
[C]. 295[D]. 643

Answer: Option D

Explanation:

Given exp. = (a + b)2 - (a - b)2
ab

   = 4ab
ab

   = 4 (where a = 469, b = 174.)


Naddy said: (Sat, Jan 15, 2011 08:45:39 AM)    
 
=[(a+b)^2-(a-b)^2]/ab
=[(a2+b2+2ab)-(a2-b2-2ab)]/ab
=4ab/ab,
where as a^2 and b^2 will get cancelled as both are in oppoaite signs
=4

Kavi said: (Thu, Dec 29, 2011 05:32:38 PM)    
 
How 4ab/ab come?

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