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If 3 < x < 6 < y < 10, then what is the greatest possible positive int
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Bunuel
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If 3 < x < 6 < y < 10, then what is the greatest possible positive int [#permalink] New post  09 Apr 2021, 10:00
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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
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Bunuel
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Re: If 3 < x < 6 < y < 10, then what is the greatest possible positive int [#permalink] New post  16 Apr 2021, 10:15
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Bunuel 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)

Answer: D.
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Re: If 3 < x < 6 < y < 10, then what is the greatest possible positive int [#permalink] New post  09 Apr 2021, 10:41
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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

x>3 & y<10
Let's say x = 3.01 & y = 9.99

y - x = 6.98
So greatest possible positive integer = 6

IMO D
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astiles67
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If 3 < x < 6 < y < 10, then what is the greatest possible positive int [#permalink] New post  13 Apr 2021, 15:42
ramlala 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

x>3 & y<10
Let's say x = 3.01 & y = 9.99

y - x = 6.98
So greatest possible positive integer = 6

IMO D


If we read this question literally, the parameters indicate the difference must be an integer.

Since 6.98 is the difference, and is not an integer, we cannot use this.

9-4 = 5. 5 is the difference, and is an integer, so we can use this.

It frankly depends on how one defines "integer difference". I define by literal meaning, the difference must be an integer.


Edit: I see we can get 6 through taking the difference of non-integers within the stated perameters. but even then, how do we define "integer difference"? The difference of integers in the range?

Therefore, again, I see this question stem as lacking clarity on the required operation.
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huyeenbuii
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Re: If 3 < x < 6 < y < 10, then what is the greatest possible positive int [#permalink] New post  15 Apr 2021, 06:18
astiles67 wrote:
ramlala 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

x>3 & y<10
Let's say x = 3.01 & y = 9.99

y - x = 6.98
So greatest possible positive integer = 6

IMO D


If we read this question literally, the parameters indicate the difference must be an integer.

Since 6.98 is the difference, and is not an integer, we cannot use this.

9-4 = 5. 5 is the difference, and is an integer, so we can use this.

It frankly depends on how one defines "integer difference". I define by literal meaning, the difference must be an integer.


Edit: I see we can get 6 through taking the difference of non-integers within the stated perameters. but even then, how do we define "integer difference"? The difference of integers in the range?

Therefore, again, I see this question stem as lacking clarity on the required operation.


The question just mentioned that the difference should be an integer. It does say that the x, y are integer so I think 6 is an answer
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If 3 < x < 6 < y < 10, then what is the greatest possible positive int [#permalink] New post  15 Apr 2021, 08:17
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Bunuel 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


There is nothing mentioned about x and y so they don't have to be integers. We may take x = 3.5 and y = 9.5 to create a difference of 6, in order to have a difference of 7 we must have x = 3 with y = 10 which is not possible. Therefore D is the answer.

Ans: D
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