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B is an integer, is 1/b a finite decimal? 1) 2/b is a finite

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Senior Manager
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B is an integer, is 1/b a finite decimal? 1) 2/b is a finite [#permalink] New post 14 Sep 2006, 14:15
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A
B
C
D
E

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B is an integer, is 1/b a finite decimal?
1) 2/b is a finite decimal.
2) 3/b is a finite decimal.
VP
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 [#permalink] New post 14 Sep 2006, 19:00
This should be clearly D.

Q asks if 1/b is a finite decimal?

Which means is b not equal to zero?

S1: 2 (1/b) is finite
=> 1/b is finite
=> b is finite.

Sufficient.

S2: Similar.

Answer: D
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 [#permalink] New post 15 Sep 2006, 00:03
Haas can u plz elaborate on the finite .. thing because this is my first time to hear of it

I thought that 1/b and be equall zero is not defined not infinite ... what is wrong with my concept ...pls highlight

I will highly appreciate it
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 [#permalink] New post 15 Sep 2006, 04:21
Finiteness as a concept is the opposite of infinite.
When you divide a number by 0 you get infinity.

Therefore for a number to be finite, b has to be not zero.

But I wouldn't worry about this. On the GMAT chances of this questio with infinity are nearly zero.

For more information :
http://en.wikipedia.org/wiki/Infinite

yezz wrote:
Haas can u plz elaborate on the finite .. thing because this is my first time to hear of it

I thought that 1/b and be equall zero is not defined not infinite ... what is wrong with my concept ...pls highlight

I will highly appreciate it
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 [#permalink] New post 15 Sep 2006, 05:04
I would say A.

I think that a finite decimal refers to a whole number or a fraction as 1/2=.5

as opposed to 1/3=0.3333333333333333............. - not a finite decimal
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 [#permalink] New post 15 Sep 2006, 05:07
Econ girl i believe u mean a terminating decimal with this example
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 [#permalink] New post 15 Sep 2006, 07:34
Good one EconGirl... completely missed that point... :oops:

Thats actually a very good point... There is a distinction between a finite decimal and a finite number.

http://mathworld.wolfram.com/RegularNumber.html

In this case, if 1/b is a finite decimal then it is not of the form 0.333333... or 0.666666 .... or 0.111111

S1: 2/b is finite decimal...
i.e 2 (1/b) is finite which means 1/b is finite.

Sufficient to answer.

S2: 3/b is finite decimal

If 1/b = 1/12 then 3/b is finite decimal .. 1/b is finite decimal
If 1/b = 1/3 then 3/b is finite decimal but 1/b is not finte decimal

Therefore, Answer: A.



EconGirl wrote:
I would say A.

I think that a finite decimal refers to a whole number or a fraction as 1/2=.5

as opposed to 1/3=0.3333333333333333............. - not a finite decimal
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 [#permalink] New post 15 Sep 2006, 23:56
ECONGIRL ROCKS... :lol:

Thanks Haas and ECONGIRL..this concept made clear was very important
  [#permalink] 15 Sep 2006, 23:56
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