College of Admission Tests Multan

Principles of Data Sufficiency

Solve the question of and select the option from the choices A through D/E. Check your Answer and view the explanation.

Question: 3

ds 01 geometry01 -96177520

In the figure, l, m, and k are straight lines. Are the lines l and m parallel?

(1) x = q

(2) y = p

  • Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
  • Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
  • BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
  • EACH statement ALONE is sufficient.
  • Statements (1) and (2) TOGETHER are NOT sufficient.

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Correct Answer: E

In the figure below, statements (1) x = q and (2) y = p are satisfied. Still, lines l and m intersect and therefore are not parallel.

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Now, consider the figure below, where each of the angles x, y, p, and q equals 90°. Here, the statements are satisfied and lines l and m are parallel.

ds 013 geometry013 -54885200

Since we have a double case, the statements together are not sufficient. Hence, the answer is (E).