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# If of the larger of two numbers is greater than 5 times the

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Director
Joined: 06 Jan 2008
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If of the larger of two numbers is greater than 5 times the [#permalink]  23 Apr 2008, 09:50
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0% (00:00) correct 0% (00:00) wrong based on 1 sessions
If ¼ of the larger of two numbers is greater than 5 times the smaller of the same two
numbers, is the smaller number less than 4?
(1) The larger number is greater than 70.
(2) The larger number is less than 80.

a little confused by the wording...
Is it L/4 > 5s
OR L/4 = 5s ?
may be i m being a little over cautious...
SVP
Joined: 24 Aug 2006
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Re: DS - two numbers [#permalink]  23 Apr 2008, 09:57
saravalli wrote:
If ¼ of the larger of two numbers is greater than 5 times the smaller of the same two
numbers, is the smaller number less than 4?
(1) The larger number is greater than 70.
(2) The larger number is less than 80.

a little confused by the wording...
Is it L/4 > 5s
OR L/4 = 5s ?
may be i m being a little over cautious...

L/4 > 5S

I like B

If 79/4=something less than 20 and 5S is less than 20, then S has to be less than 4.

A is obv insuff.
SVP
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Re: DS - two numbers [#permalink]  23 Apr 2008, 10:01
B for me as well.

from stat 1, the larger number could be something small like 72 and satisfy that smaller number is less than 4, or it can be a large number and not satisfy it. insuff.

From stat2, we are constrainted at the upper limit of the bigger number, so we can be guaranteed that y<4.
SVP
Joined: 11 Mar 2008
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Location: Southern California
Schools: Chicago (dinged), Tuck (November), Columbia (RD)
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Re: DS - two numbers [#permalink]  23 Apr 2008, 12:38
1/4Y > 5X

Y > X

IS X < 4?

(1) Y > 70
150, 30 = 5x, x = 6
80, 20 = 5x, x = 4
70, 18 = 5x, x < 4

NOT SUFF

(2) Y < 80
X < 4

SUFF

B
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Director
Joined: 06 Jan 2008
Posts: 560
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Kudos [?]: 141 [0], given: 2

Re: DS - two numbers [#permalink]  24 Apr 2008, 12:20
Thankyou all. OA is B
Re: DS - two numbers   [#permalink] 24 Apr 2008, 12:20
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