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MCQ Data Sufficiency - Principles of Data Sufficiency

The CAT Online Free Test Prep MCQs Data Sufficiency - Principles of Data Sufficiency

Data Sufficiency: Principles of Data Sufficiency

Question:

Is xy a multiple of 48?

(1) x is a multiple of 4.

(2) y is a multiple of 6.
Option A:      Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Option B:      Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
Option C:      BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
Option D:      EACH statement ALONE is sufficient.
Option E:      Statements (1) and (2) TOGETHER are NOT sufficient.
  A     B     C     D     E  
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Correct Answer: E

Explanation Video

Explanation

Not every multiple of 4 is a multiple of 48 (For example, 8 [= 4 × 2] is a multiple of 4, but 8 is not a multiple of 48). Hence, Statement (1) alone is not sufficient to answer the question.

Not every multiple of 6 is a multiple of 48 (For example, 12 [= 6 × 2] is a multiple of 6, but 12 is not a multiple of 48). Hence, Statement (2) alone is not sufficient to answer the question.

A multiple of both 4 and 6 must be a multiple of the least common multiple of 4 and 6, which is 24. But again, not every multiple of 24 is a multiple of 48 (For example, 72 [= 24 × 3] is a multiple of 24, but 72 is not a multiple of 48). Hence, statements (1) and (2) together cannot answer the question. The answer is (E).
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How to Solve Principles of Data Sufficiency

For Principles of Data Sufficiency question first understand the statement and the question stem. Try to solve and click the corresponding answer option. The drop down will appear to show the correct answer and explanation.