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Data Sufficiency (DS) | Re: If x is positive integer, is x evenly divisible by 7?

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1)
(147+2x)/7=k (k is some integer)
147+2x=7k
2x=7(k-21)
2x/7=(k-21)
Integer-Integer=integer, so 2x/7 is integer, and since 2 is not a factor of 2, x must be some multiple of 7 and therefore divisble by 7.

2)
(154+7x)/7=k
7(22+x)/7=k
22+x=k
x can be anything, no info

A

Statistics : Posted by mysterymanrog • on 05 Jun 2023, 06:02 • Replies 4 • Views 411



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