Latest TCS Aptitude Question SOLUTION: find the last 3 digit of 443^443.

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(#M40033965) TCS Numerical Ability question To find last 3 digit Keep an EYE

find the last 3 digit of 443^443.

Asked In TCS awanish (10 years ago)

Solved Karan Sabnani Read Solution (13)

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Read Solution (13) :

harish kumar  (10 years ago)

ans:307
power is 443
=>443/4 rem=3
so,443^3=86938307
last 3 digit=307

Is this solution Helpfull? Yes (12) | No (1)  

Arnab Mahakul  (10 years ago)

why u guys devide by 4. Please explain.

Is this solution Helpfull? Yes (12) | No (2)  

S M ANIRUDH  (9 years ago)

We devide by 4 because after every 4th power the last digits repeat
I.e., 443^1last digit 3
443^2 last digit 9
443^3 last digit 7 then 1 and after power 4 i.e, from power 5 the last digit repeats I.e., again 3 9 7 1 like that hence dividing by 4 is done mainly to find the last digit

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Karan Sabnani  (10 years ago)

like this:
ans:307
power is 443
=>443/4 rem=3
so,443^3=86938307
last 3 digit=307.

Is this solution Helpfull? Yes (4) | No (1)  

Shruti  (9 years ago)

Why did u divide 443 by 4. Plz explain.....

Is this solution Helpfull? Yes (2) | No   

Karan Sabnani  (10 years ago)

ans is 307

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Preeti  (10 years ago)

answer itself is 443

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sanju  (10 years ago)

power:443
443/4=remainder:3
take:443^3
ans:370

Is this solution Helpfull? Yes | No (1)  

Shraddha Chunekar  (10 years ago)

karan can you explain the ans

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suhasini  (10 years ago)

please explain clearly

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OUJASWAEE DAS  (9 years ago)

173 as alays it ends up wid that

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aditi gakhar  (9 years ago)

Karan why u have not consider 443^(4*11) last three digits ???

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priyam lahiri  (9 years ago)

as the cyclicity of 3 is 4....arnab..

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