S and T (GMAT Prep)

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S and T (GMAT Prep)

by alex.gellatly » Sat Jun 30, 2012 12:40 am
If s and t are two different numbers on the number line, is s+t equal to 0?
1. The distance between s and 0 is the same as the distance between t and 0.
2. 0 is between s and t.

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by Anurag@Gurome » Sat Jun 30, 2012 1:00 am
alex.gellatly wrote:If s and t are two different numbers on the number line, is s+t equal to 0?

1. The distance between s and 0 is the same as the distance between t and 0.
2. 0 is between s and t.
For (s + t) to be equal to zero s must be equal to -t, i.e. s and t must lie on the opposite side of zero on the number line and their distance from zero must be equal.

Statement 1: This is only possible if either s = t or s = -t.
As s and t are different numbers, s cannot be equal to t.
Hence, s = -t

Sufficient

Statement 2: This only means either s or t is negative.

Not sufficient

The correct answer is A.
Anurag Mairal, Ph.D., MBA
GMAT Expert, Admissions and Career Guidance
Gurome, Inc.
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