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# If (243)^x(463)^y = n , where x and y are

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VP
Joined: 18 May 2008
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If (243)^x(463)^y = n , where x and y are [#permalink]

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13 Feb 2009, 03:37
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If$$(243)^x(463)^y = n$$, where x and y are positive integers, what is the units digit of n?

(1) $$x + y = 7$$
(2) $$x = 4$$

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Manager
Joined: 27 May 2008
Posts: 200

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Re: DS: unit digit of n [#permalink]

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13 Feb 2009, 03:50
ritula wrote:
If$$(243)^x(463)^y = n$$, where x and y are positive integers, what is the units digit of n?

(1) $$x + y = 7$$
(2) $$x = 4$$

A

3 ^1 = 3
3 ^2 = 9
3 ^3 = 27
3 ^4 = 81

Since last digit of both the numbers is 3.
and X+Y = 7 the unit digit will always be 7. (since 7-4 = 3)

Stmt 2: the unit digit depends on value of Y

Kudos [?]: 48 [0], given: 0

Re: DS: unit digit of n   [#permalink] 13 Feb 2009, 03:50
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