Latest TCS Aptitude Question SOLUTION: what is the remainder when 50! is divided by 16^8??

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(#M40023717) TCS Numerical Ability question Remainder Keep an EYE

what is the remainder when 50! is divided by 16^8??

Asked In TCS Praveen kumar (11 years ago)

Solved Danish Shaikh Read Solution (5)

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Danish Shaikh   (11 years ago)

Ans is zero

16 raise to 8=2 raise to 32, now highest power of 2 divisible by 50! Is 25+12+6+3+1=47

Since 2 raise to 47 is divisible, 2 raise to 32 also will be divisible

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tiyas bhattacharjee  (11 years ago)

we can say 16^8=2^32.in 50! all d even no is divided by 2.in 50! ,25 even no is available.so 50 factorial is divided by 2^25.no after dividing all even term by 2.remaining terms are 2,4,8,16.....like this because when we divide 4,8,16,32 by 2,we get 2,4,8,16.from 2^32,2^7 is remaining.2*4*8*16=2^10.so 2^7 is easily divisible
there is no remainder.

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Ritika M  (11 years ago)

Zero.

50! has 2^47 , so 2^32 is also divisible

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Asif Islam  (11 years ago)

remainder will be 0.

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Pooja Udayan  (11 years ago)

ans is 0.

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