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# if m is an integer is 14 a factor of m I) 14 is a factor of

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Director
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if m is an integer is 14 a factor of m I) 14 is a factor of [#permalink]  19 Jan 2005, 16:49
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if m is an integer is 14 a factor of m

I) 14 is a factor of 15m

II) 14 is a factor of 16m
Director
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D
14=7*2 or 14*1
14 is a factor of 15M
neither 7 or 2 is a factor of 15.. that makes 14 a factor of M.
sufficient

14 is a factor of 16M

sufficient
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Re: DS : number Prop 3 [#permalink]  19 Jan 2005, 18:28
rxs0005 wrote:
if m is an integer, is 14 a factor of m

I) 14 is a factor of 15m

II) 14 is a factor of 16m

A for me.....................
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Re: DS : number Prop 3 [#permalink]  19 Jan 2005, 18:32
MA wrote:
rxs0005 wrote:
if m is an integer, is 14 a factor of m

I) 14 is a factor of 15m

II) 14 is a factor of 16m

A for me.....................

i initially picked A.. can you tell me.. why is B not sufficient..
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i think...II is insufficient.. cauz 16=8*2, 4*4,16*1
is that right?
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"A" it is.

statement 2 ....16m = 8x2xm====> m can be a factor of only 7 and be still divisible by 14...insuff
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Re: DS : number Prop 3 [#permalink]  20 Jan 2005, 22:29
rxs0005 wrote:
if m is an integer is 14 a factor of m

I) 14 is a factor of 15m

II) 14 is a factor of 16m

I go A as well

I The only time that 14 is a factor of 15m is when M = 14 or a mutiple of 14 thus 14 will always be a factor of M

II There are combinations where 14 is a factor of 16m but not of M

So A
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A.

II is not sufficient.

Use a counter example.

if m=7, then 14 is a factor of 16m, but not a factor of m.
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Re: DS : number Prop 3 [#permalink]  22 Jan 2005, 21:32
vprabhala wrote:
MA wrote:
rxs0005 wrote:
if m is an integer, is 14 a factor of m

I) 14 is a factor of 15m

II) 14 is a factor of 16m

A for me.....................

i initially picked A.. can you tell me.. why is B not sufficient..

from i, 14 is factor of m because 14 is factor of 15m. if 14 is factor of 15m, it must be divisible by 14. 15m=15x14xk, where k is an integer.

from ii, 14 is factor 16m means 14 is not necessarilly a factor of m.
if m=14, 16m = 16 x 14, the result is divided by 14 and 14 is a factor of 16m.
if m=7, 16m = 16 x 7, the result is still divided by 14 but m=7 is not a factor of m.
Re: DS : number Prop 3   [#permalink] 22 Jan 2005, 21:32
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