Divisibility DS

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Divisibility DS

by sachindia » Mon Jul 23, 2012 4:20 am
If y is an integer , is y^3 divisible by 9?
1)y is divisible by 4.
2)y is divisible by 6.
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Sach
Source: — Data Sufficiency |

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by das.ashmita » Mon Jul 23, 2012 5:03 am
1)y is divisible by 4.

lets take y = 8, =>y^3 = 8*8*8 ..... not divisible by 9
y = 12 =>Y^3 = 12*12*12..... divisible by 9

therefore Insuf

2)y is divisible by 6.

therefore, y is divisible by 2 and 3.

and Y^2 and Y^3 will be divisible by 9.

Therefore Suff

Ans is B

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by sachindia » Mon Jul 23, 2012 5:37 am
Thanks Ashmita,
So y^3 will also be divisible by 27? what say?
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Sach

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by niketdoshi123 » Mon Jul 23, 2012 6:45 am
sachindia wrote:Thanks Ashmita,
So y^3 will also be divisible by 27? what say?
Yes it will be

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by das.ashmita » Mon Jul 23, 2012 7:35 am
Yes Sachin absolutely!! :)

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by sachindia » Mon Jul 23, 2012 8:16 am
thanks ashmita.. numbers is my weakness. . gotto work on this :)
Regards,
Sach