Latest TCS Aptitude Question SOLUTION: 2^74+ 2^2058+ 2^2n for which of the following n is a perfect square? 2012 , 2011 , 2010 ,2100

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2^74+ 2^2058+ 2^2n for which of the following n is a perfect square?
2012 , 2011 , 2010 ,2100

Asked In TCS sathyapriya (11 years ago)

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packiyalakshmi  (11 years ago)

Ans: It is a dummy question.
soln:
we know (a+b)^2= (a^2)+(b^2)+2ab
form the question,
a^2=(2^74), a=(2^37), 2ab=2^2058, b^2=(2^2n)
therefore,2ab=2*(2^37)*(2^x)
find the value of x. 2ab=(2^((1+37+x)=2058)
solving this we get, x=2020.
2^(b^2)=(2^(2020)^2).
2^2n=(2^2(2020))
so n=2020.
no option is given. so it is a dummy question.

Is this solution Helpfull? Yes (28) | No (2)  

sowjanya yaramala  (11 years ago)

(2^37)^2=2^74
2*(2^37)*2^2020=2^2058
(2^37)^2+(2*(2^37)*2^2020)+(2^2020)^2 which is expressed in (a+b)^2 form where a=2^37
b=2^2020
therefore (2^2020)^2=2^2n
n=2020

Is this solution Helpfull? Yes (6) | No (2)  

niki  (11 years ago)

answer is 2011

Is this solution Helpfull? Yes (3) | No (7)  

teena  (11 years ago)

if it is a dummy question, so what option we should choose in test??

Is this solution Helpfull? Yes (2) | No   

neha pallavi  (11 years ago)

answer is 2010...

Is this solution Helpfull? Yes | No (5)  

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