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Is X + Y < 1?

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mynameisdong
 Post subject: Is X + Y < 1?
 Post Posted: Sun Aug 08, 2010 2:26 pm 
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Students


Posts: 4
Hi all,

here's the question -

Is X + Y < 1?

1) X < 8/9

2) Y < 1/8

I thought the answer is C but apparently the correct answer is E.

Can someone kindly explain? I feel like I'm missing something here, or just not seeing it.

Thanks!
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ugenderr
 Post subject: Re: Is X + Y < 1?
 Post Posted: Mon Aug 09, 2010 11:15 pm 
Offline
Students


Posts: 27
mynameisdong wrote:
Hi all,

here's the question -

Is X + Y < 1?

1) X < 8/9

2) Y < 1/8

I thought the answer is C but apparently the correct answer is E.

Can someone kindly explain? I feel like I'm missing something here, or just not seeing it.

Thanks!

Statement 1 alone is not sufficient since we dont know anything about y so choice A is ruled out.

Statement 2 alone is not sufficient since we dont know anything about x so choice B is ruled out.

And choice D is also ruled out since neither A nor B sufficient.

so now it's either C or E.

let's add the inequalities

x + y < (8/9 + 1/8) ==> x + y < 73/72 ==> x + y < 1.01...

so there is possibility for x+y to have 1 or little above 1, and it also can have less than 1.

so you really can't tell ...

Ans E.
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RonPurewal
 Post subject: Re: Is X + Y < 1?
 Post Posted: Sat Aug 14, 2010 5:21 am 
Offline
ManhattanGMAT Staff


Posts: 6765
ugenderr wrote:
mynameisdong wrote:
Hi all,

here's the question -

Is X + Y < 1?

1) X < 8/9

2) Y < 1/8

I thought the answer is C but apparently the correct answer is E.

Can someone kindly explain? I feel like I'm missing something here, or just not seeing it.

Thanks!

Statement 1 alone is not sufficient since we dont know anything about y so choice A is ruled out.

Statement 2 alone is not sufficient since we dont know anything about x so choice B is ruled out.

And choice D is also ruled out since neither A nor B sufficient.

so now it's either C or E.

let's add the inequalities

x + y < (8/9 + 1/8) ==> x + y < 73/72 ==> x + y < 1.01...

so there is possibility for x+y to have 1 or little above 1, and it also can have less than 1.

so you really can't tell ...

Ans E.


nicely explained.
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