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If x and y are positive integers and x < y, what is the value of x?

(1) The highest common factor of x and y is 8
(1) The lowest common multiple of x and y is 48

Can we not conclude from both that x is 16 and y 24??? so C?

If this were correct, the answer would have been C, not E. Since the correct answer is E (check the OA under the spooler in the original post), there must be other possible cases. For example, consider the case shown in the solution above, where x = 8 and y = 48.

P.S. Pure algebraic questions are no longer a part of the DS syllabus of the GMAT.

DS questions in GMAT Focus encompass various types of word problems, such as:
  • Word Problems
  • Work Problems
  • Distance Problems
  • Mixture Problems
  • Percent and Interest Problems
  • Overlapping Sets Problems
  • Statistics Problems
  • Combination and Probability Problems

While these questions may involve or necessitate knowledge of algebra, arithmetic, inequalities, etc., they will always be presented in the form of word problems. You won’t encounter pure "algebra" questions like, "Is x > y?" or "A positive integer n has two prime factors..."

Check GMAT Syllabus for Focus Edition

You can also visit the Data Sufficiency forum and filter questions by OG 2024-2025, GMAT Prep (Focus), and Data Insights Review 2024-2025 sources to see the types of questions currently tested on the GMAT.

So, you can ignore this and similar questions.

Hope it helps.
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