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# non-terminating decimal

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Director
Joined: 25 Oct 2008
Posts: 612
Location: Kolkata,India
Followers: 8

Kudos [?]: 114 [0], given: 100

non-terminating decimal [#permalink]  17 Jul 2009, 22:21
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Difficulty:

5% (low)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
8103/x is a non-terminating decimal.Which of the following could be a value of x?
a. 2
b. 5
c. 9
d. 12
e. 15

[spoiler]Ans:E[/spoiler]

Elimainated A and B straightaway because we know that 2 or 5 gives us a teminating decimal.Then what??
_________________
Manager
Joined: 15 Apr 2008
Posts: 50
Location: Moscow
Followers: 0

Kudos [?]: 12 [0], given: 8

Re: non-terminating decimal [#permalink]  18 Jul 2009, 00:28
tejal777 wrote:
8103/x is a non-terminating decimal.Which of the following could be a value of x?
a. 2
b. 5
c. 9
d. 12
e. 15

[spoiler]Ans:E[/spoiler]

Elimainated A and B straightaway because we know that 2 or 5 gives us a teminating decimal.Then what??

Then:
c. 9=3*3
d. 12=3*2*2
e. 15=3*5
The sum of digits in 8103 is 12, it means that 8103 is divisible by 3 (i.e. 3 is one of the factors of 8103), which will eliminate one "3" from x, leaving us with only 2's or 5's in options d. and e. Only c is left.
Manager
Joined: 08 Jul 2009
Posts: 176
Followers: 3

Kudos [?]: 15 [0], given: 13

Re: non-terminating decimal [#permalink]  18 Jul 2009, 07:47
Should be C. 15=3x5. 3 is divisible and 5 will always have a terminating decimal.
Re: non-terminating decimal   [#permalink] 18 Jul 2009, 07:47
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