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# If y is greater than 110 percent of x, is y greater than 75

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Director
Joined: 06 Sep 2006
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If y is greater than 110 percent of x, is y greater than 75 [#permalink]  23 Dec 2006, 10:01
If y is greater than 110 percent of x, is y greater than 75 ?

(1) x > 75
(2) y - x = 10
Director
Joined: 30 Nov 2006
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given: y > 1.10 x

(1) x > 75
--------------
y > 1.10 X .. assuming X has the smallest value in its range: 71 for example
Then y > 1.1 * 71 which clearly means that y > 75 for all ranges of X > 75

statement 1 is sufficient

(2) y - x = 10
----------------
x = y - 10 , plugging in our original inequality
y > 1.1 x --> y > 1.1 (y - 10)
y > 1.1y - 11
0.1 y < 11
Finally, we get to : y < 100

statement 2 is sufficient

P.S. although the answer for each statement to the question is different (statement 1 says YES, while statement 2 says NO)

Last edited by Mishari on 23 Dec 2006, 10:47, edited 1 time in total.
VP
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Re: A simple Inequality.. [#permalink]  23 Dec 2006, 10:41
asaf wrote:
If y is greater than 110 percent of x, is y greater than 75 ?

(1) x > 75
(2) y - x = 10

Will go for A

given y>1.1x

from (1) since x>75 y>1.1*75

So Yes it is SUFF

from (2) if x=10 then y=20;; If x=100 y>110

So we cannot dedude INSUFF

A should be it
Senior Manager
Joined: 05 Oct 2006
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Re: A simple Inequality.. [#permalink]  23 Dec 2006, 21:46
choice A

if y>1.1x and x>75 implies y>75. true.
Senior Manager
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A is true... clearly..
Director
Joined: 30 Nov 2006
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Sumithra

Thanks .. Duh ! what was I thinking ?

it is clearly "A "
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