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# If a and b are positive integers and a>b, is a/b an integer?

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
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If a and b are positive integers and a>b, is a/b an integer?  [#permalink]

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19 Sep 2017, 00:07
00:00

Difficulty:

35% (medium)

Question Stats:

62% (00:55) correct 38% (00:49) wrong based on 101 sessions

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[GMAT math practice question]

If a and b are positive integers and a>b, is a/b an integer?

1) a is a multiple of 10
2) b is a multiple of 5

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Re: If a and b are positive integers and a>b, is a/b an integer?  [#permalink]

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19 Sep 2017, 03:35
MathRevolution wrote:
[GMAT math practice question]

If a and b are positive integers and a>b, is a/b an integer?

1) a is a multiple of 10
2) b is a multiple of 5

Given a>b
S1 - a can be 10,20,30...
Not sufficient
S2 - b is given , no info on a.
Not sufficient
Combining, a/b may or may not be an integer depending on b is multiple of 10 or of the form 5,15,25...
Not sufficient

Please press kudos, if u liked my post!
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Re: If a and b are positive integers and a>b, is a/b an integer?  [#permalink]

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19 Sep 2017, 03:36
MathRevolution wrote:
[GMAT math practice question]

If a and b are positive integers and a>b, is a/b an integer?

1) a is a multiple of 10
2) b is a multiple of 5

Hi...
a/b will be an integer only if b is a factor of a..

Let's see the statements..
1) a is a multiple of 10.
a is a multiple of 2 and 5 surely
Insufficient

2) b is a multiple of 5
Insufficient

Combined..
Easy to fall for C
a is a multiple of 2 and 5 AND b is a multiple of 5..
But they can have other factors too..
Say a=20, b=5..... Ans YES
But say a=20, b=15...and NO
Insufficient

E
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Re: If a and b are positive integers and a>b, is a/b an integer?  [#permalink]

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21 Sep 2017, 00:55
=>

When a = 10, b = 5, we have a/b = 2, which is an integer.
When a = 10, b = 20, we have a/b = 1/2, which is not an integer.

Ans: E
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Re: If a and b are positive integers and a>b, is a/b an integer?  [#permalink]

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05 Mar 2019, 11:57
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Re: If a and b are positive integers and a>b, is a/b an integer?   [#permalink] 05 Mar 2019, 11:57
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# If a and b are positive integers and a>b, is a/b an integer?

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