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

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Source: — Data Sufficiency |
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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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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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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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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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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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