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Quantitative - Mathematics - Data Sufficiency:

Value Questions

MCQ - 17-3993

Question:

How many prime factors of x are also prime factors of y?

(1) x = 30

(2) y is a multiple of x.

  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: C

Explanation:

Statement (1) tells us nothing about the prime factors of y, so it is not sufficient on its own. We can eliminate B, C, and E. We do know at this point, though, that the set of prime factors in question is {2, 3, 5}.

Statement (2) on its own tells us nothing about the prime factors of x, so it is not sufficient on its own. We can eliminate B.

Putting them together, we can see that all of the prime factors of x would also be prime factors of y, so they have those same three prime factors in common. Since the statements are sufficient together, then answer is C.

Record Performance

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

Read the MCQ statement: How many prime factors of x are also prime factors of y? (1) x = 30 (2) y is a multiple of x., keenly and apply the method you have learn through the video lessons for Value Questions to give the answer. Record your answer and check its correct answer and video explanation for MCQ No. 17-3993.

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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