Word Problems GRE Strategy Guide by Manhattan Prep

Author:Manhattan Prep
Language: eng
Format: epub
Publisher: MG Prep, Inc.

Quantity A Quantity B

The median of x – 4, x + 1, and 4x = x + 1 The mean of x – 4, x + 1, and 4x = 2x – 1

The comparison thus boils down to which is greater, x + 1 or 2x – 1. The answer is not immediately clear. Subtract x from both sides to try and isolate x:

Quantity A Quantity B

Now add 1 to both sides to isolate x:

Quantity A Quantity B

1 + 1 = 2 (x – 1) + 1 = x

The question stem states that x must be greater than 2, therefore, Quantity B is greater.

16. (C): The sets in question are A = {1, 3, 5, 7, 9} and B = {2, 4, 6, 8, 10}. Each is a set of evenly spaced integers with an odd number of terms, such that the mean is the middle number. The deviations between the elements of the set and the mean of the set in each case are the same: –4, –2, 0, 2, and 4. Thus, the standard deviations of the sets must also be the same. Therefore, the two quantities are equal.

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.