BTGmoderatorLU wrote:On the number line, point R has coordinate r and point T has coordinate t. Is t < 0?

(1) -1 < r < 0
(2) The distance between R and T is equal to r^2

The OA is C.

Please, can someone assist me with this DS question? Thanks!

Given: On the number line, point R has coordinate r and point T has coordinate t

To find out: Is t < 0?

Let's take each statement one by one.

(1) -1 < r < 0

No information about t. Insufficient.

(2) The distance between R and T is equal to r^2

No information about the placement of r and t on the number line. Insufficient.

(1) and (2) together

Say r = -1/2, thus, r^2 = 1/4

Case 1: t is further away on the negative side of the number line, thus, t < 0 and its coordinate = -1/2 - 1/4 = -3/4
Case 2: t is away on the positive side of the number line, thus, the coordinate of t = -1/2 + 1/4 = -1/4; t < 0.

Thus, t < 0. Sufficient.

The correct answer: C

Hope this helps!

-Jay
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