X is Older Than Y, Z Is Younger Than W And V is Older Than Y. Is Z Younger Than X? GMAT Data Sufficiency

Question: X is older than Y, Z is younger than W and V is older than Y. Is Z younger than X?

(1) W may not be older than V
(2) W is not older than V

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 (1) and (2) TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
4. EACH statement ALONE is sufficient.
5. Statements (1) and (2) TOGETHER are not sufficient.

“X is Older Than Y, Z Is Younger Than W And V is Older Than Y. Is Z Younger Than X? GMAT Data Sufficiency”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book "GMAT Quantitative Review". GMAT Quant section consists of a total of 31 questions. GMAT Data Sufficiency questions consist of a problem statement followed by two factual statements. GMAT data sufficiency comprises 15 questions which are two-fifths of the total 31 GMAT quant questions.

Solution and Explanation:

Approach Solution 1:

Explanation:

In order to solve this sum, there are certain considerations that are required to be undertaken as mentioned below:

X > Y
Z < W
V > Y
Secondly, the question that follows with this is if Z < X? Yes/No.
Considering the above-mentioned situation, highlight two different cases;

Case 1: Considering W might not be older than V.
There are two statements that can be considered for this situation is; W may be older than V; W may not be older than V = not justified
Case 2: W is not older than V.
Considering both the cases, it can be highlighted that there are two probable answers; yes and no = not justified.
Thus, the answer to this question is; E.

Correct Answer: E

Approach Solution 2:

Explanation:

Considering only the first statement as given in the question, appropriate justifications of age can’t be stated for Z and X. Further considering the second statement “W is not older than V.” It can be highlighted that; W≤V.
The statement above highlights, X is older than Y, thus, this implies that Z is younger than W. Moreover, it can also be concluded from the statement that V’s age is the same as Y.
However, according to the second statement, the age of W is the same or less than that of V.
Equating the above-mentioned situations, it is conclusive that Z is not older than X.
This implies that Z is either young or of the same age as X.
Therefore, both the statements as mentioned above are not justified.
Thus, the answer is E.

Correct Answer: E

Approach Solution 3:

We need to check if W is less than, greater than or equal to V
From the statements in the question,

(1) W may not be older than V – The statement does not clearly state the fact. It says maybe. So we cannot be sure
(2) W is not older than V – This statement says that W is not older than V. This does not mean Z is younger than X.

We cannot say for sure is z> or < to x. Hence, both statements together cannot solve the problem statement.

This makes E, the correct answer.

Correct Answer: E

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