There are enough available spaces on a school team to select at most

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BTGModeratorVI: Legendary Member; Posts: 1223; Joined: Sat Feb 15, 2020 2:23 pm; Followed by:1 members

There are enough available spaces on a school team to select at most

by BTGModeratorVI » Thu Jun 18, 2020 5:37 am

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There are enough available spaces on a school team to select at most 1/3 of the 50 students trying out for the team. What is the greatest number of students that could be rejected while still filling all available spaces for the team?

(A) 16
(B) 17
(C) 33
(D) 34
(E) 35
Answer: D
Source: Manhattan prep

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Source: Beat The GMAT — Problem Solving | Thu Jun 18, 2020 5:37 am

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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

Re: There are enough available spaces on a school team to select at most

by Scott@TargetTestPrep » Sun Jun 21, 2020 4:59 am

BTGModeratorVI wrote: ↑
Thu Jun 18, 2020 5:37 am
There are enough available spaces on a school team to select at most 1/3 of the 50 students trying out for the team. What is the greatest number of students that could be rejected while still filling all available spaces for the team?

(A) 16
(B) 17
(C) 33
(D) 34
(E) 35
Answer: D

Solution:

To fill the space on the team, a maximum of 16 people could be selected, so 50 - 16 = 34 can be rejected while still filling all available spaces.

Answer: D

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