St 1:p>j. therefore tp>tj if t is positive and tp<tj is t is negative. INSUFFICIENT
St 2: -tp>-tj or tp<tj . ANSWER

option B

Target question: Is tp > tj?

Statement 1: p > j
Since we don't have any information about the value of t, statement 1 is insufficient.
If you're not convinced consider these two conflicting cases:
Case a: p = 2, j = 1 and t = 1. In this case, the answer to the target question is YES, tp is greater than tj
Case b: p = 2, j = 1 and t = 0. In this case, the answer to the target question is NO, tp is not greater than tj
Since we can’t answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: –tp > –tj
An important property of inequalities says this: If we multiply both sides of an inequality by a NEGATIVE value, we must REVERSE the direction of the inequality symbol (see the video below for more on this)
So if we take the inequality –tp > –tj...
... And multiply both sides by -1, we get tp < tj
So, the answer to the target question is NO, tp is definitely not greater than tj
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: B

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