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M05 #36 - DS

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M05 #36 - DS [#permalink] New post 10 Dec 2009, 20:40
If a,b ,c and are positive distinct integers, is (a/b)/c an integer?

a.Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
bStatement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
c.BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
d.EACH statement ALONE is sufficient
e.Statements (1) and (2) TOGETHER are NOT sufficient

Can someone explain why is it answer B ?
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Re: M05 #36 - DS [#permalink] New post 10 Dec 2009, 20:45
tania wrote:
If a,b ,c and are positive distinct integers, is (a/b)/c an integer?

a.Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
bStatement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
c.BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
d.EACH statement ALONE is sufficient
e.Statements (1) and (2) TOGETHER are NOT sufficient

Can someone explain why is it answer B ?


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Re: M05 #36 - DS [#permalink] New post 11 Dec 2009, 11:10
If a,b ,c and are positive distinct integers, is ( a/b)/c an integer?

1. c= 2
2. a= b+c




Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are NOT sufficient

Above is the complete question
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Re: M05 #36 - DS [#permalink] New post 11 Dec 2009, 11:19
tania wrote:
If a,b ,c and are positive distinct integers, is ( a/b)/c an integer?

1. c= 2
2. a= b+c




Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are NOT sufficient

Above is the complete question


It's B because you can't pick a set of integers that are distinct and will result in an integer.

The answer to the questions is no, you can't get an integer..

Try any set of integers

a = b + c
b = 2 c = 4 a = 6
6/2 / 4 = 3/4 not an integer..

Just pick random numbers and you will never get an integer
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Re: M05 #36 - DS [#permalink] New post 11 Dec 2009, 11:32
thnx a for such a quick response...is there any other generic way of solving such questions?
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Re: M05 #36 - DS [#permalink] New post 17 Dec 2009, 22:41
[quote="tania"]If a,b ,c and are positive distinct integers, is ( a/b)/c an integer?

1. c= 2
2. a= b+c


The way I did it:
1. doesnt give us any real info
NS
2. a=b+c
divide both sides by b+c
a/(b+c)= 1
a/b + a/c = 1
IF they are distinct positive integers, this will never give an answer that works. will be fractions unless they are the same number, which the stem stipulates they can not be.

B is suff
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Re: M05 #36 - DS [#permalink] New post 22 Dec 2009, 20:24
That was a clear cut explanation. Thnx a lot .
Re: M05 #36 - DS   [#permalink] 22 Dec 2009, 20:24
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