glagad
Thank you
Bunuel, for your comment.
Here is the question -
A positive integer n leaves a remainder of 5 when divided by 7. If n is greater than 50 but less than 120, what is the value of n?
1. When n is divided by 9, the remainder is 0.
2. When n is divided by 12, the remainder is 0.
A positive integer n leaves a remainder of 5 when divided by 7 and n is greater than 50 but less than 120.
So n can be 54, 61, 68, 75, 82, 89, 96, 103, 110, or 117.
Statement 1: When n is divided by 9, the remainder is 0.
From the possible values, n can be 54 or 110.
Statement 2: When n is divided by 12, the remainder is 0.
From the possible values, n can be 96.
The statements clearly contradict. This is a flawed question. Ignore it. What is the source?
Also, 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 EditionYou 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 question.Hope it helps.