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# If z is an integer greater than 1, is z even?

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Director
Joined: 18 Feb 2019
Posts: 602
Location: India
GMAT 1: 460 Q42 V13
GPA: 3.6
If z is an integer greater than 1, is z even?  [#permalink]

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23 Mar 2019, 04:57
1
00:00

Difficulty:

45% (medium)

Question Stats:

65% (01:40) correct 35% (01:20) wrong based on 17 sessions

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If z is an integer greater than 1, is z even?

(1) 2z is not a factor of 8

(2) 3z/4 is a factor of 6
Manager
Joined: 11 Feb 2013
Posts: 229
Location: United States (TX)
GMAT 1: 490 Q44 V15
GMAT 2: 690 Q47 V38
GPA: 3.05
WE: Analyst (Commercial Banking)
Re: If z is an integer greater than 1, is z even?  [#permalink]

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23 Mar 2019, 05:18
1
Statement 1: INSUFFICIENT.
2Z is NOT a FACTOR of 8
Or, Z is NOT a factor of 4.
So, Z can be 3, 5(Odd), 6 (Even).....

Statement 2: SUFFICIENT
3z/4 is a factor of 6
Or, 3z is a factor of 24
Or, z is a factor of 8
So, Z can be 2, 4 & 8 (those are the maximum possible factors of the main statement. Some of the factors may not work in main statement)

Here, applicable factors in statement 2 is 4 & 6 only (both positive)

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Manager
Joined: 11 Feb 2013
Posts: 229
Location: United States (TX)
GMAT 1: 490 Q44 V15
GMAT 2: 690 Q47 V38
GPA: 3.05
WE: Analyst (Commercial Banking)
Re: If z is an integer greater than 1, is z even?  [#permalink]

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23 Mar 2019, 05:26
Statement 2 can also be solved in the following ways.
What are the factors of 6?
=1,2,3 & 6.
So, 3z/4 is a factor of 6
Or, the value of 3z/4 can be
1 (z becomes fraction. Question says Z must be integer. Cross it out)

2 (z becomes fraction. Question says Z must be integer. Cross out)

3 (Z=4; EVEN)
6 (Z=8; EVEN)

Posted from my mobile device
Manager
Joined: 11 Feb 2013
Posts: 229
Location: United States (TX)
GMAT 1: 490 Q44 V15
GMAT 2: 690 Q47 V38
GPA: 3.05
WE: Analyst (Commercial Banking)
Re: If z is an integer greater than 1, is z even?  [#permalink]

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23 Mar 2019, 05:31
In statement, it is easier to think about "Z is a factor of 4" than to work with "Z is NOT a factor of 4". In this situation, I find out factors of the number and then remove those & work with the remainings to find out "Z is NOT a factor of 4"

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Re: If z is an integer greater than 1, is z even?   [#permalink] 23 Mar 2019, 05:31
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# If z is an integer greater than 1, is z even?

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