Bookshelf
Total GMAT Math Jeff's complete Quant guide, on sale now! |
Total GMAT Verbal Everything you need to ace GMAT Verbal! |
New: GMAT 111 Improve every aspect of your GMAT prep! |
1,800 Practice Math Questions
GMAT Official Guide
OG Math | OG Verbal
Guides To the Official Guide
Free: OG12 explanations!
GMAT Question of the Day
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:
Data Sufficiency #D34
Background
This is just one of hundreds of free explanations I've created to the quantitative questions in The Official Guide for GMAT Review (12th 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: D34
Page: 24
Difficulty: 5 (Moderate)
Category 1: Arithmetic > Percents > other
Category 2: Arithmetic > Sets > 2 sets
Category 3: Word Problems > Sets >
Explanation: The best way to think about this question is that there are four possible sets of requirements: computer and writing skills; computer skills only; writing skills only; neither computer nor writing skills. The percentages of companies that require each of those sets of skills will sum to 100. We know that 20 percent require both, so we can set up the following equation:
100 = 20 + cOnly + wOnly + neither
To find neither, we'll need both of the other variables.
Statement (1) is insufficient. The companies that require computer skills fall into one of two categories: computer and writing skills, or computer skills only. If half of those companies require writing skills, those companies are the "both" companies. If 20 percent are both, that means that 20 percent are "computer only." Thus:
100 = 20 + 20 + wOnly + neither
Still not enough.
Statement (2) is also insufficient. This statement gives us "writing only" companies. Again, it's one of the two variables we need, but not both:
100 = 20 + cOnly + 45 + neither
Taken together, the statements are sufficient:
100 = 20 + 20 + 45 + neither
neither = 15
Choice (C) is correct.
Click here for the full list of GMAT OG12 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! |