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## Official Guide Explanation:

Data Sufficiency #86

**Background**

This is just one of hundreds of free explanations I've created to the quantitative questions in The Official Guide for GMAT Quantitative Review (2nd ed.). Click the links on the question number, difficulty level, and categories to find explanations for other problems.

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**Solution and Metadata**

**Question****: 86**

Page: 159

Difficulty: **5** (Moderate)

Category 1: Arithmetic > Properties of Integers > Other

Category 2: Arithmetic > Properties of Integers > Evens and Odds

**Explanation:** If m and n are consecutive positive integers, there are two possible scenarios: m is greater than n (as in m = 3 and n = 2) and n is greater than m (as in m = 2 and n = 3).

Statement (1) is sufficient: if m - 1 and n + 1 are consecutive, we can check the two scenarios above to see if both of them work. If m = 3 and n = 2, m - 1 = 2 and n + 1 = 3, which are consecutive integers, so it is possible that m is greater than n. If m = 2 and n = 3, m - 1 = 1 and n + 1 = 4, which are not consecutive integers. Thus, m must be greater than n.

Statement (2) is insufficient: if m = 2, n could be either 1 or 3: greater than or less than m. Choice (A) is correct.

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