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M16-25

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M16-25  [#permalink]

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New post 15 Sep 2014, 23:59
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

51% (00:55) correct 49% (00:51) wrong based on 97 sessions

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Re M16-25  [#permalink]

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New post 15 Sep 2014, 23:59
Official Solution:


Statement (1) by itself is insufficient.

Statement (2) by itself is insufficient. If \(x\) and \(y\) are large, the answer to the question is "yes". If \(x = 1.1\) and \(y = 1.2\), the answer to the question is "no".

Statements (1) and (2) combined are sufficient. The smallest possible \(x\) is 2, the smallest possible \(y\) is 3. Even these small values of \(x\) and \(y\) give \(xy \gt x + y\). As \(x\) and \(y\) increase, the difference between their product and their sum will only grow.


Answer: C
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Re: M16-25  [#permalink]

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New post 16 Nov 2015, 08:37
case 1:
y=9,x=1.
Sum=10,Product =9 i.e Product<Sum.
case 2:
y=9,x=3.
Sum=12,Product=27 i.e Product>Sum.

So answer must be E..
Please correct me if I am wrong.
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Re: M16-25  [#permalink]

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New post 16 Nov 2015, 21:15
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Re: M16-25  [#permalink]

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New post 02 Feb 2019, 15:16
From this, is it correct to state these rules?

The product of x and y (xy) will always be LARGER than their sum (x+y) if they are both larger than 2

The product of x and y (xy) will always be SMALLER than their sum (x+y) if they are both between 0 and 1

Please let me know if I am correct in my thinking
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Re: M16-25   [#permalink] 02 Feb 2019, 15:16
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