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GMAT Data Sufficiency (DS) | Re: When positive integer x is divided by 7 the quotient is q

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x= 7q + 1
from 1) x = 5q + 1
subtracting eqn 1 from given, we get x =1. hence when we divide x i.e. 1 by 10 we get remainder 1. Sufficient.
stmt 2 is clearly insufficient.
Hence, A

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