GMAT Data Sufficiency

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Source: Manhattan

Level: 3

A computer generates paths along the vertices of the parallelogram above. It moves in such a way that its path always consists of a side, a diagonal, and then a side and it never ends at the same vertex it begins with, i.e., PQ → QOS → SR. For each vertex on a path, the computer generates a random number. The sum of the numbers on one diagonal is equal to the sum on the other. For a given path, what is the number generated for vertex P?

1. The sum of Q and R is always 15 and S carries number 4.

2. The intersection of the diagonals, O,carries number 2.

  • A Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
  • B Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
  • C BOTH statement TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
  • D EACH statement ALONE is sufficient.
  • E Statements (1) and (2) TOGETHER are NOT sufficient.

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