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# If X = 27^324 and Y = 3^134, what is the units digit of X/Y?

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Math Expert
Joined: 02 Sep 2009
Posts: 50623
If X = 27^324 and Y = 3^134, what is the units digit of X/Y?  [#permalink]

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28 Apr 2016, 00:16
1
2
00:00

Difficulty:

55% (hard)

Question Stats:

66% (01:13) correct 34% (01:47) wrong based on 116 sessions

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If $$X = 27^{324}$$ and $$Y = 3^{134}$$, what is the units digit of X/Y?

A. 1
B. 3
C. 5
D. 7
E. 9

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Re: If X = 27^324 and Y = 3^134, what is the units digit of X/Y?  [#permalink]

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28 Apr 2016, 01:23
2
1
Bunuel wrote:
If $$X = 27^{324}$$ and $$Y = 3^{134}$$, what is the units digit of X/Y?

A. 1
B. 3
C. 5
D. 7
E. 9

Basically it tests pattern : (3,9,7,1)

If we take write 27 in terms of 3 and take the dr to the top, it will result in 3^838

since pattern = 4 divide 838/4 and reminder = 2 ------- this points to 9 in the pattern (3,9,7,1)
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Re: If X = 27^324 and Y = 3^134, what is the units digit of X/Y?  [#permalink]

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03 Nov 2018, 02:16
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Re: If X = 27^324 and Y = 3^134, what is the units digit of X/Y? &nbs [#permalink] 03 Nov 2018, 02:16
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