Is q < 0?

1) on the number line, (q - 15) is closer to 0 than q is

If q is negative, then (q-15) will become even smaller and further from 0 than q is, so q has to be positiveOR this tells us that |q|>|q-15|...

Square both sides as both are positive..

\(q^2>q^2-30q+225.....30q>225....q>7.5\)..

Thus answer is always NO, q is not less than 0

Sufficient

2) on the number line, (q - 15) is closer to 0 than to q

So q is farther from 0 as compared to q-15..

This is exactly what statement I tells you..

Same solution as for statement I

Sufficient

D

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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372

2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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