For a group of n people, k of whom are of the same GMAT, the

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pm; Followed by:23 members

For a group of n people, k of whom are of the same GMAT, the

by BTGmoderatorDC » Thu Aug 23, 2018 2:53 pm

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For a group of n people, k of whom are of the same GMAT, the (n-k)/n expression yields an index for a certain phenomenon in group dynamics for members of that GMAT. For a group that consists of 20 people, 4 of whom are females, by how much does the index for the females exceed the index for the males in the group?

(A) 0.05
(B) 0.0625
(C) 0.2
(D) 0.25
(E) 0.6

OA E

Source: Princeton Review

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Source: Beat The GMAT — Problem Solving | Thu Aug 23, 2018 2:53 pm

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by [email protected] » Thu Aug 23, 2018 3:35 pm

Hi All,

We're told that for a group of N people, K of whom are of the same GMAT, the (N-K)/N expression yields an index for a certain phenomenon in group dynamics for members of that GMAT. We're asked - for a group that consists of 20 people, 4 of whom are females, by how much does the index for the females EXCEED the index for the males in the group. While this question might appear a bit complex, it's just a variation on a Symbolism question: we're given a set of instructions and told to calculate a result (in this case, two results).

N = 20 people with 4 women and 16 men

The 'index' for women would be (20 - 4)/20 = 16/20 = 4/5
The 'index' for men would be (20 - 16)/20 = 4/20 = 1/5

The index for the women would exceed the index for the men by... 4/5 - 1/5 = 3/5 = .6

Final Answer: E

GMAT assassins aren't born, they're made,
Rich

Contact Rich at [email protected]

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Sun Aug 26, 2018 6:28 pm

BTGmoderatorDC wrote:For a group of n people, k of whom are of the same GMAT, the (n-k)/n expression yields an index for a certain phenomenon in group dynamics for members of that GMAT. For a group that consists of 20 people, 4 of whom are females, by how much does the index for the females exceed the index for the males in the group?

(A) 0.05
(B) 0.0625
(C) 0.2
(D) 0.25
(E) 0.6

The women have an index of:

(20 - 4)/20 = 16/20 = 4/5 = 0.8

The men have an index of:

(20 - 16)/20 = 4/20 = 1/5 = 0.2

Thus, the index for the females exceeds that of the males by 0.8 - 0.2 = 0.6.

Answer: E

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