The Official Guide for GMAT Quantitative Review 2017 with Online Question Bank and Exclusive Video by GMAC (Graduate Management Admission Council)

Author:GMAC (Graduate Management Admission Council)
Language: eng
Format: epub
ISBN: 9781119253938
Publisher: Wiley
Published: 2016-06-16T00:00:00+00:00

Arithmetic Statistics

Using the formula average , the average number of points per game for the first n games can be expressed as . Solving this equation shows that the total points for n games = nx. Then, the total points for n + 1 games can be expressed as nx + y, and the average number of points for n + 1 games .

The correct answer is A.

If xy > 0 and yz < 0, which of the following must be negative? xyz

xyz2

xy2z

xy2z2

x2y2z2

Arithmetic Properties of numbers

Since and xy > 0, yz < 0, (xy)(yz) = xy2z < 0 and xy2z is the expression given in answer choice C.

Alternatively, the chart below shows all possibilities for the algebraic signs of x, y, and z. Those satisfying xy > 0 are checked in the fourth column of the chart, and those satisfying yz < 0 are checked in the fifth column of the chart.

x y z xy > 0 yz < 0

+ + + ✓

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