### Bookshelf

Total GMAT MathJeff's complete Quant guide, on sale now! |

Total GMAT VerbalEverything you need to ace GMAT Verbal! |

New: GMAT 111Improve every aspect of your GMAT prep! |

Guides To the Official Guide

(Updated for new editions!)

1,800 Practice Quant Questions

**GMAT Question of the Day**

GMAT Official Guide

OG Math | OG Verbal

Beginner's Guide to the GMAT

GMAT Hacks Affiliate Program

### Categories

- General Study Tips
- Goals and Planning
- CAT Strategy
- The Mental Game
- GMAT Math Strategy
- GMAT Math Topics
- Mental Math
- Data Sufficiency
- Critical Reasoning
- Reading Comprehension
- Sentence Correction
- Analytical Writing Assessment
- Business School Admissions
- GMAT Prep Resources
- Practice Questions
- Total GMAT Math
- Total GMAT Verbal

## Official Guide Explanation:

Problem Solving #109

**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.

These are the same explanations that are featured in my "Guides to the Official Guide" PDF booklets. However, because of the limitations of HTML and cross-browser compatibility, some mathematical concepts, such as fractions and roots, do not display as clearly online.

Click here for an example of the PDF booklets. Click here to purchase a PDF copy.

**Solution and Metadata**

**Question****: 109**

Page: 75

Difficulty: **5** (Moderate)

Category 1: Arithmetic > Properties of Integers > Factors and Multiples

Category 2: Arithmetic > Properties of Integers > Primes

Category 3: Arithmetic > Properties of Integers > Evens and Odds

**Explanation:** Another way of phrasing this question is, "Which of the following CANNOT be a multiple of 10?" Look at each answer choice, checking to see if there is a way for it to be a multiple of 10:

(A) 3 and 7 are two odd integers, and the sum of 3 and 7 is a multiple of 10.

(B) Any negative multiple of 10 yields an integer when divided by 10. For instance, ((-20)/10)= - 2.

(C) 2 and 5 are primes, and their product is a multiple of 10.

(D) 9, 10, and 11 are consecutive integers, and their sum is a multiple of 10.

(E) is correct: all multiples of 10 are even, so an odd integer cannot yield an integer when divided by 10.

Click here for the full list of GMAT Quant Review explanations.

You should follow me on Twitter. While you're at it, take a moment to
subscribe to
GMAT Hacks via RSS or Email. |

Total GMAT Math
The comprehensive guide to the GMAT Quant section. It's "far and away the best study material
available," including over 300 realistic practice questions and more than 500 exercises! |