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# What's the remainder of 2^k divided by 10. 1). k is

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Senior Manager
Joined: 22 Nov 2005
Posts: 479
Followers: 1

Kudos [?]: 3 [0], given: 0

What's the remainder of 2^k divided by 10. 1). k is [#permalink]  27 May 2006, 13:14
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What's the remainder of 2^k divided by 10.
1). k is dividable by 10
2). k is dividable by 4
Intern
Joined: 05 Apr 2006
Posts: 36
Followers: 0

Kudos [?]: 1 [0], given: 0

E ,
if K is 0 then the remainder would be 1

if we exclude 0 then the it should be

B
2 ^4x = 16^x => the unit digit is 6
Director
Joined: 10 Oct 2005
Posts: 531
Location: US
Followers: 1

Kudos [?]: 13 [0], given: 0

B it is...

What's the remainder of 2^k divided by 10.
1). k is dividable by 10
2). k is dividable by 4

1 --- insufficient. for K = 10, 20, 30 etc remainder is different 4, 8, 2 etc.

2 --- sufficient (if k not equal to 0). for k = 4, 8, 12, 16, 20 etc remainder is 6, 6, 6, etc
Manager
Joined: 11 Oct 2005
Posts: 94
Followers: 1

Kudos [?]: 4 [0], given: 0

I am gettting B remainder will always be 6
Manager
Joined: 17 Dec 2005
Posts: 162
Followers: 1

Kudos [?]: 10 [0], given: 0

what if it is a negative integer? [#permalink]  09 Jun 2006, 22:20
tl372 wrote:
Another one for B

I believe it is B if the question says k has to be a positive integer. What is it is negative? K = -4 -> -4/4 is an integer. Then the answer would be E.

Any thoughts?
what if it is a negative integer?   [#permalink] 09 Jun 2006, 22:20
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# What's the remainder of 2^k divided by 10. 1). k is

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