If x=y, is it true that x rounded to the nearest tenths is e

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varun289: Master | Next Rank: 500 Posts; Posts: 298; Joined: Sun Jun 03, 2012 6:42 amFollowed by: 7 members; Location: New delhi; Thanked: 10 times; GMAT Score:590

by varun289 » Mon Jan 14, 2013 10:38 pm

If x=y, is it true that x rounded to the nearest tenths is equal to the exact value of y?

(1) y is equal to x rounded to the tenths.

(2) y is an integer.

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Source: Beat The GMAT — Data Sufficiency | Mon Jan 14, 2013 10:38 pm

Sam_hellboy: Senior | Next Rank: 100 Posts; Posts: 32; Joined: Thu Dec 13, 2012 9:44 pm; Thanked: 5 times

by Sam_hellboy » Tue Jan 15, 2013 5:29 am

GIven x = y

I) y is equal to x rounded to the tenths

now let x = 1.145
rounding it to the tenths, x = 1.15
=> y = 1.15

So ans to the question is True. We can check for any other value . Ans would remain same.

So option A & D are possibler answers. B,C, E eliminated

II) y = x given and y is an interger

Now if y = 1.149 = x

x rounded to tenths is 1.15 and this is not euals to Y. So snwer to the auestion NO(False).
We can check for any other value . Ans would remain same.

MY ans is D

Please correct me if am wrong. Would appreciate that.

Thanks!![/spoiler]

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sana.noor: Legendary Member; Posts: 512; Joined: Mon Jun 18, 2012 11:31 pmFollowed by: 20 members; Thanked: 42 times

by sana.noor » Tue Jan 15, 2013 8:46 am

what is the source of the question? because the two given statements contradict each oither, statement one says that y equal to x rounded to nearest 10. This shows that x is not an integer and according to statement 1, y = to x rounded to nearest 10th. Thus y is not an integer, However,The second statement says that y is an integer.

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Tommy Wallach: GMAT Instructor; Posts: 451; Joined: Thu Jan 21, 2010 11:58 amFollowed by: 120 members; Location: New York City; Thanked: 188 times; GMAT Score:770

by Tommy Wallach » Wed Jan 16, 2013 2:06 pm

Hey Sana,

Actually, the two statements do not contradict each other, though I see why you'd think that.

1) y is equal to x rounded to the tenth digit.
2) y is an integer.

Imagine, for a moment, that x = 1.02

If that's the case, then when you round it to the tenth digit, you get 1. That would be the value of y, which could be an integer. As long as there's any values that overlap and satisfy both statements, the two cannot be said to contradict.

Hope that helps!

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sana.noor: Legendary Member; Posts: 512; Joined: Mon Jun 18, 2012 11:31 pmFollowed by: 20 members; Thanked: 42 times

by sana.noor » Thu Jan 17, 2013 2:41 am

thanks tommy, i was considering Sam example "x = 1.145". However, ur example really clears my confusion.

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Bill@VeritasPrep: GMAT Instructor; Posts: 1248; Joined: Thu Mar 29, 2012 2:57 pmFollowed by: 192 members; Location: Everywhere; Thanked: 503 times; GMAT Score:780

by Bill@VeritasPrep » Thu Jan 17, 2013 11:17 am

Tommy Wallach wrote:As long as there's any values that overlap and satisfy both statements, the two cannot be said to contradict.

And that's one of the areas where they love to trap us. They contradict in 99% of cases...but there's that one exception, i.e. when x=0 or something that is pretty easy to overlook.

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