Question: What is Paul’s now?
- Paul is now twice as old as he was 12 years ago
- Paul’s brother Rob is now two times as old as Paul was exactly 12 years ago
- Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
- Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
- BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
- EACH statement ALONE is sufficient.
- Statements (1) and (2) TOGETHER are NOT sufficient.
Answer:
Solution with Explanation:
Approach Solution (1):
S1:
Paul is now twice as old as he was 12 years ago
Let us suppose the age of Paul 12 years ago was x
The present age of Paul = x + 12
As per the given conditions, x + 12 = 2x
Or
x = 12
Hence, the present age = 12 + 12 = 24
Sufficient
S2:
Paul’s brother Rob is now two times as old Paul was exactly 12 years ago
Rob age, y = 2 (x) where x is the Paul age 12 years ago
Clearly, it is not sufficient to conclude anything
Correct Option: A
Approach Solution (2):
(1) According to statement 1:
Age of Paul (12 years ago) = x
Present age = x + 12
Therefore, x + 12 = 2x
x = 12
Present age becomes = 12 + 12 = 24
Sufficient
(2) According to statement 2:
Paul’s brother Rob is now two times as old Paul was exactly 12 years ago
Age of Paul = x
Age of Rob = 2x
It is obvious that it is insufficient to draw any conclusions
Not sufficient
Correct Option: A
Approach Solution (3):
- 12 years ago, age of Paul = x
Present age of Paul = x + 12
x + 12 = 2x
x = 12
Hence, Present age = x + 12 = 12 + 12 = 24
Hence sufficient
- Nothing can be concluded from the statement 2
Hence not sufficient
Correct Option: A
“What is Paul’s now?”- 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.
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