Latest TCS Aptitude Question SOLUTION: When 76^77 is divided by 7,then what will be the remainder ??

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When 76^77 is divided by 7,then what will be the remainder ??

Asked In TCS Ghanshyam Gulati (10 years ago)

Solved Saraswathy Read Solution (5)

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Read Solution (5) :

Saraswathy  (10 years ago)

6 will be the remainder

(ax-1)^n/a will gives the remainder "1" for all even values of 'n' and "(a-1)" for all the odd values of 'n'

here 76^77/7 ==> (7*11-1)^77/7 [a=7, x=11,n=77]

here power "n" is odd

so the remainder is (a-1) ie (7-1) which is "6"

Ans : 6

Is this solution Helpfull? Yes (18) | No (2)  

sandy  (10 years ago)

@Ghanshyam Gulati
ANS IS:6
when u see problems like this(that is consecutive numbers(76 POWER 77))
or
FOR EXAMPLE
((32)^(33)^(34))/33
WRITE THEM LIKE THIS: (32*33*34)/33
THEN JUST DIVIDE INDIVIDUALLY =>(-1*1*+1)/33
SO ANSWER WILL BE -1/33 I.E., 33-1=32(REMAINDER)
COMING TO THE QUESTION (76^77)/7 JUST WRITE IT LIKE THIS (76*77)/7
THEN (-1*1)/7=>-1/7=>7-1=6(REMAINDER)

Is this solution Helpfull? Yes (7) | No   

gangulasiva  (10 years ago)

42 because 6*7=42

Is this solution Helpfull? Yes | No (6)  

Dheeraj  (9 years ago)

Units digit is 6
On dividing 6 by 7 we get reminder -1
So 7-1=6
Reminder is 6

Is this solution Helpfull? Yes | No   

Pratik sharma  (9 years ago)

Answer is 6-1777odd powerbecause as we can see on dividing 76 by 7 we get -1and power is odd thus it will remain -1 thus answer will be 7-16

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