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# If 3<x<6<y<10, then what is the greatest possible positive integer dif

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Joined: 29 Apr 2015
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If 3<x<6<y<10, then what is the greatest possible positive integer dif  [#permalink]

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05 Sep 2015, 02:19
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55% (hard)

Question Stats:

47% (01:04) correct 53% (00:47) wrong based on 303 sessions

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If 3<x<6<y<10, then what is the greatest possible positive integer difference of x and y?

A. 3
B. 4
C. 5
D. 6
E. 7
Math Expert
Joined: 02 Sep 2009
Posts: 60687
Re: If 3<x<6<y<10, then what is the greatest possible positive integer dif  [#permalink]

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05 Sep 2015, 03:43
1
3
reto wrote:
If 3<x<6<y<10, then what is the greatest possible positive integer difference of x and y?

A. 3
B. 4
C. 5
D. 6
E. 7

3 < x < 6 < y < 10;

3 < x
y < 10

3 + y < x + 10
y - x < 7.

Positive integer difference is 6 (for example y = 9.5 and x = 3.5)

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Re: If 3<x<6<y<10, then what is the greatest possible positive integer dif  [#permalink]

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05 Sep 2015, 03:53
2
reto wrote:
If 3<x<6<y<10, then what is the greatest possible positive integer difference of x and y?

A. 3
B. 4
C. 5
D. 6
E. 7

Let x=3.1 and y=9.1
Greatest possible difference=9.1-3.1=6
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Re: If 3<x<6<y<10, then what is the greatest possible positive integer dif  [#permalink]

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23 Nov 2016, 08:22
1
reto wrote:
If 3<x<6<y<10, then what is the greatest possible positive integer difference of x and y?

A. 3
B. 4
C. 5
D. 6
E. 7

tricky one...
we are not told that x and y must be integers.
we can have x=3.01 and y=9.01 -> difference is 6.
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Re: If 3<x<6<y<10, then what is the greatest possible positive integer dif  [#permalink]

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04 Dec 2016, 04:08
1
Woww... I taken initial value of x and y as integer forgetting that the difference should be integer and not the value of x and y.

Made a mistake. However, realized it later.
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Re: If 3<x<6<y<10, then what is the greatest possible positive integer dif  [#permalink]

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02 Sep 2017, 10:55
reto wrote:
If 3<x<6<y<10, then what is the greatest possible positive integer difference of x and y?

A. 3
B. 4
C. 5
D. 6
E. 7

3<x<6<y<10
x can be 3.00000000.... and above but not 3

y can be max. 9.999999..... and below 10 .

So, y-x can't be 10-3 = 7

It can attain max value of 6, for e.q if x= 3.000001, y = 9.000001 , x-y = 6

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Re: If 3<x<6<y<10, then what is the greatest possible positive integer dif  [#permalink]

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02 Jun 2019, 13:56
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Re: If 3<x<6<y<10, then what is the greatest possible positive integer dif   [#permalink] 02 Jun 2019, 13:56
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