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

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Gmat_mission: Legendary Member; Posts: 1622; Joined: Thu Mar 01, 2018 7:22 am; Followed by:2 members

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

by Gmat_mission » Sun Mar 11, 2018 8:36 am

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

[spoiler]OA=E[/spoiler].

I am confused. Can any expert give me some help? Please. I'd be thankful.

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Source: Beat The GMAT — Problem Solving | Sun Mar 11, 2018 8:36 am

GMATinsight: Legendary Member; Posts: 1100; Joined: Sat May 10, 2014 11:34 pm; Location: New Delhi, India; Thanked: 205 times; Followed by:24 members

by GMATinsight » Mon Mar 12, 2018 5:46 am

Gmat_mission 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

[spoiler]OA=E[/spoiler].

I am confused. Can any expert give me some help? Please. I'd be thankful.

For Group of n people k of whom are of the same GMAT, Index = (n-k)/n

For Group of 20 people 4 of whom are of the Female, Index = (20-4)/20 = 16/20 = 4/5 = 0.8

For Group of 20 people 16 of whom are of the Male, Index = (20-16)/20 = 4/20 = 1/5 = 0.2

Index of Female exceeds that of male = 0.8-0.2 = 0.6

Answer: Option E

I hope this helps!!!

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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 » Tue Mar 13, 2018 4:14 pm

Gmat_mission 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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