elizabethsmith719
What is the remainder when x is divided by 3?(1) The sum of the digits of x is 5(2) When x is divided by 9, the remainder is 2 Would you need a constraint that the digits are always positive? For example, for statement 1, could it be the case that the number is -16 (-1 + 6 = 5?) which would only have a remainder of 5?
The digits are always non-negative; they are 0, 1, 2, 3..., 9. However, you're right that the stem should mention that x is a positive integer, but for a different reason. If, in (1), x is a negative number, such as -14, the remainder of -14 divided by 3 is 1, and if it's 14, the remainder of 14 divided by 3 would be 2, making (1) insufficient.
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:
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- Work Problems
- Distance Problems
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- Percent and Interest Problems
- Overlapping Sets Problems
- Statistics Problems
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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..."
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So, you can ignore this question.Hope it helps.