Latest TCS Aptitude Question SOLUTION: What is the remainder when 50! is divided by 16^15..

• Placement Papers
• /
• TCS
• /
• Numerical Ability
• /
• Number System

TCS Question Papers: TCS Interview Experience(90) TCS Company Profile

(#M40012063) TCS Numerical Ability question solve with explaination Keep an EYE

What is the remainder when 50! is divided by 16^15..

Asked In TCS piyushkumar (11 years ago)

Unsolved Read Solution (10)

Is this Puzzle helpful?   (12)   (4) Submit Your Solution Number System

Read Solution (10) :

Pratapsingh  (11 years ago)

16^15... last unit digit is 6 and 50! last unit digit is 0 hence remainder is 6

Is this solution Helpfull? Yes (18) | No (20)  

Saurabh Awasthi  (11 years ago)

remainder is 0

Is this solution Helpfull? Yes (8) | No (11)  

surabhi  (11 years ago)

CYCLICITY of 6 =6
6^15=remainder is always 6
50!=0 as remainder
hence ans =0

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

camelia saha  (10 years ago)

remainder will be 0.16^15=2^(4*15) in 50! except 1! there is a 2 in every 2! 3! 4!..50!.so there are 49 2's and 4 has one extra 2,8 has 2 twos,12 has 1 extra 2,16 has 3 2s and 32 4 2s. in denominator all 2 gets cancelled out.

Is this solution Helpfull? Yes (1) | No (3)  

Prachi Sharma  (8 years ago)

50!=50*49*48*47....*2*1
16 is divisible by 16,32,48 hence three powers of 16 would divide completely.
for the remaining two powers of 16 split 16 as 2x8 hence one more power gets cancelled.
now what remains is 2x8 so 8 is divisible 24,40(remaining numbers), so is 2 hence 16^5 gets completely divided and hence the remainder is 0.

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

vishal  (8 years ago)

50!= 1*2*3*4*5*6*7..........50
4n(where n is 1*2*5*6......)
16 is 4 square
4n/4^(any number) will give the remainder as 0.

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

pranoti  (11 years ago)

can u plz explain the solution..?

Is this solution Helpfull? Yes | No (3)  

piyushkumar  (11 years ago)

Can any one plz explain how cyclicity is calculated..

Is this solution Helpfull? Yes | No (2)  

reshma  (11 years ago)

can anyone explain the correct solution?? plsssss

Is this solution Helpfull? Yes | No (1)  

Subhalakshmi.M  (7 years ago)

50!/16^5
take the last digit 6 .By cyclicity of 6, 6 power anything will be 6.
similarly 50! results in 0 as the last digit.
so 0/6= 0 is the remainder.

Is this solution Helpfull? Yes | No (1)  

Please Login to Read Solution.