Elitmus
Exam
Numerical Ability
Number System
What is the maximum remainder when (104)^n is divided with 51
Read Solution (Total 9)
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- since 104/51=2, hence 2^n can give max 50, (as no. is divided by 51 so max remainder can be 50), thus 2^5=32 is max what we get
- 11 years agoHelpfull: Yes(28) No(2)
- (2)^n
remainder=32 - 11 years agoHelpfull: Yes(13) No(1)
- if
N value Reminder
1 104/51 2
2 104*104/51*51 2*2
3 104*104*104/51*51*51 2*2*2
4 104*104*104*104/51*51*51*51 2*2*2*2
5 104*104*104*104*104/51*51*51*51*51 2*2*2*2*2
6 104*104*104*104*104*104/51*51*51*51*51*51 2*2*2*2*2*2=64 further divisible by 51 reminder is 13
so maximum possible reminder is : 32
Thank you - 11 years agoHelpfull: Yes(6) No(0)
- ans is 32.-maximum
- 11 years agoHelpfull: Yes(2) No(1)
- 104%51= 2.
so we have 2^n /9
the max no that 9 leaves as remainder is 8.
so ans =8. - 11 years agoHelpfull: Yes(0) No(6)
- How 32?Please explain
- 11 years agoHelpfull: Yes(0) No(0)
- For maximum firstly we will find the value of n we can find it by 51=3×17 so we will get maximum value [104/17] or [104/3]+[104/3^2] and so on and we will get n=6 so 104^6/51=2^6/51=64/51=13(ans)
- 10 years agoHelpfull: Yes(0) No(2)
- Maximum Reminder is 32 and minimum remainder is 1
- 9 years agoHelpfull: Yes(0) No(0)
- 32 would be the answers
- 7 years agoHelpfull: Yes(0) No(0)
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