Aaka wrote:

Can someone please explain why option C is not one of the correct options?

C. Maximum score among the girls is

at most 2.2 more than the maximum score among boys

The key words here are "at most"

This means, it COULD be the case that the maximum score among the girls is

exactly 2.2 more than the maximum score among boys

Or it COULD be the case that the maximum score among the girls is

1.5 more than the maximum score among boys

Or it COULD be the case that the maximum score among the girls is

equal to the maximum score among boys

Or it COULD be the case that the maximum score among the girls is

LESS THAN the maximum score among boys

Given all of this, here are two possible outcomes:

CASE I:

There are two girls in the class, and their scores are: 1 and 33.6 (for a range of 32.6)

There are two boys in the class, and their scores are: 11 and 31.4 (for a range of 20.4)

When we combine all of the scores we get {1, 11, 31.4, 33.6}, which means the range = 32.6

CASE II:

There are two girls in the class, and their scores are: 1 and 33.6 (for a range of 32.6)

There are two boys in the class, and their scores are: 50 and 70.4 (for a range of 20.4)

When we combine all of the scores we get {1, 33.6, 50, 70.4}, which means the range = 69.4

Does that help?

_________________

Brent Hanneson – Creator of greenlighttestprep.com

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