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Data Sufficiency 2

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Data Sufficiency 2 [#permalink]

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New post 21 Jul 2009, 02:06
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A
B
C
D
E

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Re: Data Sufficiency 2 [#permalink]

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New post 21 Jul 2009, 03:11
pick numbers:

x=2.5 and y =1.5

1) x+y=4 (so 4 is the closest int) but we can not answer to the Q since there are 2 ints at the same distance from x
NOT SUFF
2) x-y=1 same thing here NOT SUFF

Taken together, no additional info, hence answer E.

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Re: Data Sufficiency 2 [#permalink]

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New post 21 Jul 2009, 06:30
madeinafrica wrote:
pick numbers:

x=2.5 and y =1.5

1) x+y=4 (so 4 is the closest int) but we can not answer to the Q since there are 2 ints at the same distance from x
NOT SUFF
2) x-y=1 same thing here NOT SUFF
Taken together, no additional info, hence answer E.


I think this is wrong explanation. We need to know the value of x is closest to which integer?
In other words, what is int(x)?

We know that x = 2.5, thus int(x) = 3. And I don't understand why OA is E (it should be C).

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Re: Data Sufficiency 2 [#permalink]

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New post 21 Jul 2009, 06:58
I also marked C but GMATPREP says answer is E.

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Re: Data Sufficiency 2 [#permalink]

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New post 21 Jul 2009, 09:05
No, no
Quote:
We know that x = 2.5, thus int(x) = 3


2.5 is closest to which integer?? that's the real question being asked.
2 and 3 are at exactly the same distance from 2.5

My explanation is still good to me.

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Re: Data Sufficiency 2 [#permalink]

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New post 21 Jul 2009, 09:24
Stmt 1 says x+y = a number which is closest to Integer 4

the non integers closest to 4 can be less than 4 or greater than 4 ranging from 3.5 - 4.4

So x+y can range from 3.5 - 4.4

so stmt 1 insuffecient

Stmt 2 says x-y = a number which is closest to Integer 1

So x-y can range from 0.5 - 1.4

so stmt 2 insuffecient

combine stmt 1 and stmt2

if we take x+y = 3.5 and x-y = 0.5 we get x = 1.5 and y = 2

if we take x+y = 4.4 and x-y = 0.5 we get x = 1.95 and y = 2.45

so stmt 1 and stmt2 is insuff

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Re: Data Sufficiency 2 [#permalink]

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New post 21 Jul 2009, 22:52
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Ok, I'm also confirmed that OA is (E):

Let's consider 2 pairs of equations:

1.
{x+y=3.5
{x-y=0.5
(we see that 4 is closest int to {x+y} and 1 is closest int to {x-y}. let's solve it)

{2x=4.0
{y=x-0.5

{x=2.0 int(x)=2
{y=1.5

2.
{x+y=4.4
{x-y=1.4
(we still see that 4 is closest int to {x+y} and 1 is closest int to {x-y}. let's solve it)

{2x=5.8
{y=x-1.4

{x=2.9 int(x)=3
{y=1.5

Therefore, as we obtain two different answers from given question, the answer is (E) - both statements are NOT sufficient.

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Re: Data Sufficiency 2 [#permalink]

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New post 21 Jul 2009, 23:00
madeinafrica wrote:
No, no
2.5 is closest to which integer?? that's the real question being asked.
2 and 3 are at exactly the same distance from 2.5


Do you know that 2.5 (real) is rounded to 3 (int),
and 2.4 (real) is rounded to 2 (int)?

For additional info, see {Common Method} at
http://en.wikipedia.org/wiki/Rounding

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Re: Data Sufficiency 2 [#permalink]

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New post 22 Jul 2009, 00:22
Quote:
Do you know that 2.5 (real) is rounded to 3 (int),


Ok I see what youre talking about.

in fact when I saw the question, I assumed it had nothing to do with rounding or whatever. In this case, when I'm asked "what is the closest integer to 2.5?" my aswer is there are two of them.

but if asked "what is the closest integer you obtain when rounding 2.5? " of course the only answer is 3.

When we use the function ROUND() in Excel, it gives your results.....

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Re: Data Sufficiency 2 [#permalink]

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New post 22 Jul 2009, 00:45
Shouldnt be it due to the fact that the option suggest that X+Y are close to 4, values above or below 4. Which could be interpreted as say 3.6 or 4.4. X- Y close to 1 which could be 0.6 or 1.4. If you calculate X, Y for these 2 sets of values the options would be different, i.e

X- Y = 0.6
X + Y=4.4

X=2.5 Y=1.9 X closer to 3.

Now consider

X- Y = 0.6
X + Y=3.6
X=2.1 Y=1.5 X closer to 2.

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Re: Data Sufficiency 2   [#permalink] 22 Jul 2009, 00:45
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