Official Guide Explanation:
Data Sufficiency #35

 

 

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.

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Solution and Metadata

Question: 35
Page: 275
Difficulty: 5 (Moderate)
Category 1: Algebra > Linear Equations-Two Unk >

Explanation: Given the system of equations, you can find z with the value of either x (because x - 4 = z) or t (because 8 - z = t). y would also be sufficient, since y would give you x (because y - x = 8) and x would give you z. Statement (1) is sufficient: with the value of x, you can solve for z, as shown above. Statement (2) is also sufficient: with the value of t, you can solve for z (also as shown above). The correct choice is (D).

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