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0 a multiple of all numbers???

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mdp4d
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0 a multiple of all numbers??? [#permalink] New post   02 Oct 2004, 00:07
On another site, the answer to the following Data Sufficiency:

X is a prime number. What is X?

(1) X <15

(2) (X-2) is a multiple of 5

The answer purported to be E, because X could be 2 or 7, given that 5 and 0 are multiples of 5 (i.e. each 5 and 0 can be divided by 5 evenly).

This just seems wrong - that 0 is a multiple of all numbers - but wanted to sanity check this with a considerably more sophisticated site than the one I happenned to be on when I ran across this.



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Re: 0 a multiple of all numbers??? [#permalink] New post   02 Oct 2004, 00:17
1. X is a prime number < than 15. It can be 2,3,5,7,11,or 13. Diff possible values for X. Hence Insuff.
2. X-2 = multiple of 5 => cn be 5, 10, 15, 20, 25...whatever. Now, say X-2 = 5 => X=3. say, X-2 = 10 => X=12. Different values for X. Hence Insufficient.

Combining both we have. X=3 prime number or say, X=12 not a prime number. Again many different values for X. Hence Insufficient. Hence E.
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Re: 0 a multiple of all numbers??? [#permalink] New post   02 Oct 2004, 21:27
I agree with the fact that 0 is the multiple of all numbers.
So, from stmt 1 alone: X= 2, 3, 5, 7, 11, 13 : insufficient.

from stmt 2 alone: X= 2, 7, 17, 37..... insufficient

combining to two: it is 2 and 7. So again insufficient.

Hence E.
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target780
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Re: 0 a multiple of all numbers??? [#permalink] New post   02 Oct 2004, 21:29
From venksune:
Quote:
X-2 = 5 => X=3.


Hope you dont do silly mistakes like these in actual gmat, x-2=5 => x= 7 and not 3. :)
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Re: 0 a multiple of all numbers??? [#permalink] New post   02 Oct 2004, 21:48
Target780,
Thanks for pointing such mistakes. I always do such mistakes and seem to never learn. :wall
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Re: 0 a multiple of all numbers??? [#permalink] New post   02 Oct 2004, 22:18
as simple as the mistake is, how about this one for the error log venksune? you may want to write down a strategy to avoid this error next time.

thanks
Praet
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Re: 0 a multiple of all numbers??? [#permalink] New post   02 Oct 2004, 22:22
Thanks Praet. Silly mistakes have costed me time and again - god help me. I will put in the error log. Its fortunate that the answer I derived is still right. :oops:

Thanks guys for the concern on me. It helps.
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Re: 0 a multiple of all numbers??? [#permalink] New post   02 Oct 2004, 23:35
It happens and must be avoided. These silly mistakes scare the hell out me as well.



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Re: 0 a multiple of all numbers??? [#permalink]
02 Oct 2004, 23:35
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