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If 1/4 of the larger of two numbers is greater than 5 times the smalle

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Math Expert
Joined: 02 Sep 2009
Posts: 50001
If 1/4 of the larger of two numbers is greater than 5 times the smalle  [#permalink]

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02 Nov 2017, 01:41
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Difficulty:

45% (medium)

Question Stats:

57% (01:42) correct 43% (02:03) wrong based on 44 sessions

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If 1/4 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.

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Re: If 1/4 of the larger of two numbers is greater than 5 times the smalle  [#permalink]

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02 Nov 2017, 01:47
Bunuel wrote:
If 1/4 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.

Let x be the larger no. and y be the smaller no.

x/4 > 5y
x>20y
is y <4?

(1) if x ix greater than 70 then y is greater than 3.5..not sufficient

(2) if x is less than 80 then y is less than 4..sufficient

B
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Re: If 1/4 of the larger of two numbers is greater than 5 times the smalle  [#permalink]

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04 Nov 2017, 06:29
Bunuel wrote:
If 1/4 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.

From statement 1 we can have numbers like 72,76,80,96,100,120 and the other number may be greater than 4 or may be less than 4

From statement 2 we can have numbers like 76,72,64....so other number will always be less than 4

Re: If 1/4 of the larger of two numbers is greater than 5 times the smalle &nbs [#permalink] 04 Nov 2017, 06:29
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