Latest TCS Aptitude Question SOLUTION: 54 to the power 124 divided by 17

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54 to the power 124 divided by 17

Asked In TCS PARUL JOSHI (9 years ago)

Unsolved Read Solution (6)

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Read Solution (6) :

Anuj Yadav  (9 years ago)

3^124 = (3^7)^17 · 3^5

Since 7 and 17 are co-primes.
(3^7)^17 will leave the same remainder when divided by 17 as 3^7

=>3^7 · 3^5 = 3^12

And since 3^12 has remainder 4 when divided by 17,
so when 3^124 is divided by 17 gives 4 as remainder.

Answer is 4.

Correct me if I am wrong.

Is this solution Helpfull? Yes (19) | No (5)  

hema  (9 years ago)

ans is 1
divide 54 by 17..remainder will be 3
3^124..last digit will b 1

Is this solution Helpfull? Yes (4) | No (3)  

Amar  (9 years ago)

54^124/7

54/17=3

so 3^124/17 now 3

Is this solution Helpfull? Yes (4) | No   

Tamal Chakraborty  (9 years ago)

54/17=3

so remainder = 3

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

Ashish Sharma  (9 years ago)

54^(16*7)+12/11
54^12/11
3^12/11
so the ans is 3.

Is this solution Helpfull? Yes | No (3)  

kush  (9 years ago)

6 (4^even =unit digit 6 /17 ) remainder is 6

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