What Is The Value Of N GMAT Data Sufficiency

Question: What is the value of n?

1. n is between 0 and 1
2. 7/16 is 3/8 more than n

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. EACH statement ALONE is sufficient.
5. Statements (1) and (2) TOGETHER are NOT sufficient.

“What is the value of n?” is a topic of the GMAT quantitive reasoning section of GMAT. This question has been borrowed from the book “GMAT Quantitative Review”. The GMAT Quant section includes a sum of 31 questions. GMAT Data Sufficiency comes up with a problem statement that is followed by two factual statements. GMAT data sufficiency includes 15 questions which are two-fifths of the entire 31 GMAT quant questions.

Solution and Explanation

Approach Solution 1:

1. The statement states that n lies between 0 and 1. Therefore, it implies that the statement is not sufficient since we cannot get the value of n from this statement.
2. The statement suggests that 7/16 is 3/8 more than n. Therefore, it implies that

7/16 = 3/8 +n. Thus the value of n can be derived from this statement. Hence, this statement alone is sufficient.

Correct Answer: B

Approach Solution 2:

The candidate can solve this DS question by utilising the variable approach.

DS question with one variable: Let the real condition in a DS question include one variable. One variable mainly needs 1 equation that needs to be solved to get the value of the variable. Each condition generally provides an equation since the candidate requires one equation to correspond to the variables and an equation number in the real condition. The answer could be A, B or D but the default answer will be D.

1. This condition suggests that 0 < n < 1. However, the condition does not clearly tell the value of n. This argument alone is not sufficient since n is not a unique number.
2. This condition states that 7/16 is 3/8 more than n.

7/16 is equals to the sum of 3/16 and n. Therefore, The value of n would be the subtraction of 7/16 and 3/16. This is equal to 1/16 which is a unique number. Therefore, condition 2 is sufficient, since the value of n is unique.

Correct Answer: B

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