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MCQ Data Sufficiency - Yes - No Questions

The CAT Online Free Test Prep MCQs Data Sufficiency - Yes - No Questions

Data Sufficiency: Yes - No Questions

Question:

Is x an integer?

(1) x is evenly divisible by 1/2

.

(2) x is evenly divisible by 2
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  
Show/Hide Answer and Explanation

Correct Answer: B

Explanation Video

Explanation

A reminder: The question stem starts with is, so this is a yes or no problem. The first step is to determine whether statement (1) is sufficient, which we can do by trying out some real numbers. If x is 2, which is evenly divisible by 1/2, then the answer would be yes. But if x were 1.5, which is also evenly divisible by 1/2, then the answer would be no. Since you can get either yes or no, statement (1) is not sufficient and you should cross off A and D.

Now let’s move on to statement (2). There are no non-integer numbers that are divisible by 2, so yes is the only possibility. Statement (2) is sufficient, so we can eliminate C and E, and the correct answer is B.
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How to Solve Yes - No Questions

For Yes - No Questions 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.