When a figure is given in a problem, it may be effective to express relationships among the various parts of the figure using arithmetic or algebra.

• This strategy is used in the following two sample questions.

**This is a Quantitative Comparison question.**

__Quantity A____Quantity B__*PS**SR*(A) Quantity A is greater.

(B) Quantity B is greater.

(C) The two quantities are equal.

(D) The relationship cannot be determined from the information given.*Explanation*From the figure, you know that

*PQR*is a triangle and that point*S*is between points*P*and*R*, so and You are also given that However, this information is not sufficient to compare*PS*and*SR*. Furthermore, because the figure is not necessarily drawn to scale, you cannot determine the relative sizes of*PS*and*SR*visually from the figure, though they may appear to be equal. The position of*S*can vary along side*PR*anywhere between*P*and*R*. Following are two possible variations of the figure, each of which is drawn to be consistent with the information##### Variation 1

##### Variation 2

Note that Quantity A is greater in Variation 1 and Quantity B is greater in Variation 2.

**Thus, the correct answer is Choice D, the relationship cannot be determined from the information given**.

**This is a Numeric Entry question.**

RESULTS OF A USED-CAR AUCTION

Small Cars Large Cars Number of cars offered 32 23 Number of cars sold 16 20 Projected sales total for cars offered (in thousands) $70 $150 Actual sales total (in thousands) $41 $120 For the large cars sold at an auction that is summarized in the table above, what was the average sale price per car?

$

*Explanation*From the table above, you see that the number of large cars sold was 20 and the sales total for large cars was $120,000 (not $120). Thus the average sale price per car was

**The correct answer is $6,000 (or equivalent)**.(Note that the comma in 6,000 will appear automatically in the answer box in the computer-delivered test.)

## Promotional Links

### Register for the GRE General Test

### POWERPREP PLUS^{®} Online

Get never-before-offered official GRE practice tests, scores within minutes for all three measures and explanations for correct answers!

### Send Only Your Best Scores.

Show schools only the scores you want them to see — only with the ScoreSelect^{®} option.