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# What digit appears in the units place in the number obtained when

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Joined: 02 Sep 2009
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What digit appears in the units place in the number obtained when  [#permalink]

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13 May 2016, 03:48
00:00

Difficulty:

25% (medium)

Question Stats:

71% (00:36) correct 29% (00:57) wrong based on 63 sessions

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What digit appears in the units place in the number obtained when 2^320 is multiplied out?

A. 0
B. 2
C. 4
D. 6
E. 8

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What digit appears in the units place in the number obtained when  [#permalink]

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Updated on: 13 May 2016, 23:59
Q: Units digit of 2^320

Remainder when power/4 = 320/4 is 0. Hence the number will have units digit same as 2^4 which is 6.

OA : D

Originally posted by babuvgmat on 13 May 2016, 07:54.
Last edited by babuvgmat on 13 May 2016, 23:59, edited 1 time in total.
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Re: What digit appears in the units place in the number obtained when  [#permalink]

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13 May 2016, 23:39
Bunuel wrote:
What digit appears in the units place in the number obtained when 2^320 is multiplied out?

A. 0
B. 2
C. 4
D. 6
E. 8

$$2^{320}$$ = $$2^{4*80}$$

2^4 WILL HAVE UNITS DIGIT AS 6

So,$$2^{320}$$will have $$6^{80}$$ will also have units digit as 6

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Re: What digit appears in the units place in the number obtained when  [#permalink]

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14 May 2016, 00:20
2^320=2^4K
put k=1
last digit of 2^4=16
last digit 6

Re: What digit appears in the units place in the number obtained when   [#permalink] 14 May 2016, 00:20
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