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# The number of employees in Xyz

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Director
Joined: 31 Jul 2017
Posts: 518
Location: Malaysia
GMAT 1: 700 Q50 V33
GPA: 3.95
WE: Consulting (Energy and Utilities)
The number of employees in Xyz  [#permalink]

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08 Sep 2018, 06:39
2
00:00

Difficulty:

55% (hard)

Question Stats:

60% (02:52) correct 40% (02:20) wrong based on 28 sessions

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The number of employees in Xyz corp is a prime number and is less than 300.The ratio of the number of employees who are graduates and above, to that of employees who are not, can possibly be

1. 101:88
2. 87:100
3. 110:111
4. 85:98
5. 97:84

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Posts: 376
Re: The number of employees in Xyz  [#permalink]

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08 Sep 2018, 07:54
rahul16singh28 wrote:
The number of employees in Xyz corp is a prime number and is less than 300.The ratio of the number of employees who are graduates and above, to that of employees who are not, can possibly be

1. 101:88
2. 87:100
3. 110:111
4. 85:98
5. 97:84

The question basically asks if the sum of no of people who are graduates to those who are not is prime.
We will have to apply brute force and go through each of the options.

1. 101:88 - 101+88=189. div by 9. Not a prime.
2. 87:100 - 87+100=187. div by 11. Not a prime.
3. 110:111 - 110+111= 221. div by 13. not a prime.
4. 85:98 - 85+98=183. div by 3. not a prime.
5. 97:84 - 97+84= 181. is a prime. Hence our answer.

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Re: The number of employees in Xyz   [#permalink] 08 Sep 2018, 07:54
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