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(#M40025579) TCS question Keep an EYE

Here a^b means a raised to the power of b.find the highest possible value of n such that 8^n is exactly divisible by 44^44
1)44
2)29

Asked In TCS MOUNIKA (11 years ago)

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Saatvika Dhumeja  (11 years ago)

44^44=(2*2*11)^44=(2^2*11)^44=2^88 * 11^44
now 8^n can be written as 2^3n
88=3n
n=29 hence 29 is the ans

Is this solution Helpfull? Yes (15) | No (5)  

juhe rawat  (11 years ago)

29 is the ans...

Is this solution Helpfull? Yes (9) | No (1)  

MAGESHWARI  (11 years ago)

44^44,take last digit first 4 and calculate for 4^44 =the last digit of the answer will be 6.
8^n,the power cycles of 8 are 8,4,2,6 .now consider options 44 divide this by 4,because power cycle for 8 is 4, 44/4 =0 is the remainder .so 8^44 gives 6 as the last digit.
8^44 is exactly divisible by 44^44.ans 44

Is this solution Helpfull? Yes (5) | No (3)  

Surabhi  (11 years ago)

ques must b find value of n such that 44^n z xactly divisible by 8^n

Is this solution Helpfull? Yes (2) | No (1)  

MOUNIKA  (11 years ago)

Can u plz explain hw did u got the solution

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Guru Pranav  (11 years ago)

yeah 29 but not exactly !!!

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