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# If x$y = x – y for all values of x and y, is a$b greater t

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Manager
Joined: 09 Feb 2013
Posts: 114
If x$y = x – y for all values of x and y, is a$b greater t  [#permalink]

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08 Jun 2013, 01:21
1
1
00:00

Difficulty:

55% (hard)

Question Stats:

65% (01:47) correct 35% (01:55) wrong based on 169 sessions

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If x$y = x – y for all values of x and y, is a$b greater than a$(a$b)?

(1) a < 6
(2) b > 2

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Joined: 02 Sep 2009
Posts: 52385
Re: If x$y = x – y for all values of x and y, is a$b greater t  [#permalink]

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08 Jun 2013, 01:40
If x$y = x – y for all values of x and y, is a$b greater than a$(a$b)?

$$a{}b=a-b$$ and $$a{}(a{}b)=a{}(a-b)=a-(a-b)=b$$.

So, the questions asks: is $$a-b>b$$? --> $$a>2b$$?

(1) a < 6. No info about b. Not sufficient.
(2) b > 2. No info about a. Not sufficient.

(1)+(2) If a=0 and b=3, then the answer is NO but if a=5 and b=2.1, then the answer is YES. Sufficient.

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Re: If x$y = x – y for all values of x and y, is a$b greater t  [#permalink]

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19 Apr 2018, 02:06
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Re: If x$y = x – y for all values of x and y, is a$b greater t &nbs [#permalink] 19 Apr 2018, 02:06
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