If z is an integer, is Z/4 also an integer?

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If z is an integer, is Z/4 also an integer?

by leonswati » Fri Sep 09, 2011 11:20 am
If z is an integer, is Z/4 also an integer?

1) z is a factor of 24.
2) Z/3 is an integer.


I opted for A but its a wrong answer.... but why...?

From 1: If z is a factor of 24 meaning Z must be divisible by 4 and therefore Z/4 has to be an integer. Sufficient

From 2: Lets take z as 12 then Z/3 is an integer and Z/4 also is an integer But if we take Z as 9 then Z/3 is an integer but Z/4 is not an integer. Not Sufficient

Where am i going wrong
Source: — Data Sufficiency |

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by puneet.goel » Fri Sep 09, 2011 11:30 am
IMO E

1St Says : Z is a factor of 24. Factors of 24 can be 2*2*2*3.So Z can be 2 or 4 or 6 or 12.

if z = 2 then 2 is a factor of 24 but not divisible by 4.
Similarly for 6. while for 12 , z/4 will be an integer. So insufficient.


Statement 2 : says that z is a multiple of 3. it does not tells me anything about 4 .so its insufficient.

Statement 1 and 2 : Z can be 6 which satisfies both the cases but is not an integer or Z can be 12 which also satisfies both the cases but is an integer.

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by leonswati » Fri Sep 09, 2011 11:36 am
Thanks man..... din realise it was so simple