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Quantitative - Mathematics - Data Sufficiency:

Data Sufficiency

MCQ - 21-3997

Question:

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

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

Correct Answer: E

Explanation:

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.

ds 012 geometry012 -57329320

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).

Record Performance

34 MCQ for effective preparation of the test of Data Sufficiency of Data Sufficiency section.

Read the MCQ statement: In the figure, l, m, and k are straight lines. Are the lines l and m parallel? (1) x = q (2) y = p , keenly and apply the method you have learn through the video lessons for Data Sufficiency to give the answer. Record your answer and check its correct answer and video explanation for MCQ No. 21-3997.

How to Answer

Solve the question for MCQ No. and decide which option (A through D/E) is the best choice to answer the MCQ, then click/tap the blue button to view the correct answer and it explanation.

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