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# There are four computer engineers and some business analysts at a firm

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Intern
Joined: 16 Nov 2014
Posts: 2
There are four computer engineers and some business analysts at a firm  [#permalink]

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18 May 2019, 21:43
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Difficulty:

65% (hard)

Question Stats:

32% (01:27) correct 68% (01:36) wrong based on 19 sessions

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There are four computer engineers and some business analysts at a firm. You have to organize them in a team of five workers. You look at each possible team of five and realize that each has at least one computer engineer and at least one business analyst. What is the highest possible number of business analysts at the firm?

a. 20
b. 4
c. 16
d. 11
e. 5
Status: booyeh!
Joined: 26 May 2017
Posts: 15
Location: India
Concentration: Strategy, Marketing
Re: There are four computer engineers and some business analysts at a firm  [#permalink]

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18 May 2019, 23:22
This question can be solved using logic,

If we have to choose 5 people, and at any given time there has to be atleast 1 business analyst and 1 computer engineer, this implies that I have to have atleast 4 of each.

Suppose I have 5 business analysts and 1 computer engineer, there is still a chance that if i choose 5 random people, they could all be business analysts - therefore, 4 is the correct answer!

Hope this helps!
Intern
Joined: 24 Jan 2019
Posts: 18
Location: India
GMAT 1: 690 Q50 V36
GPA: 3.94
Re: There are four computer engineers and some business analysts at a firm  [#permalink]

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18 May 2019, 23:33
1
This question tricks you in selecting 16 when you think how many teams you can form. However, It simply asks you to form a team (one team) which essentially means you can select 1 computer engineers and you will need maximum 4 Business Analyst to form a team of five.

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Intern
Joined: 16 Nov 2014
Posts: 2
Re: There are four computer engineers and some business analysts at a firm  [#permalink]

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19 May 2019, 06:55
bulbul1993 wrote:
This question tricks you in selecting 16 when you think how many teams you can form. However, It simply asks you to form a team (one team) which essentially means you can select 1 computer engineers and you will need maximum 4 Business Analyst to form a team of five.

In terms of computation, what can be used to solve this?
Intern
Status: Work in progress
Joined: 21 Jul 2018
Posts: 11
Location: India
Concentration: Strategy, Technology
GPA: 3.8
WE: Information Technology (Computer Software)
Re: There are four computer engineers and some business analysts at a firm  [#permalink]

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19 May 2019, 06:58
1
Each possible team of 5 has "atleast" 1 CE "AND" 1 BA.
total # of CE: 4 (given)
If total # of BA >= 5, there will be a possible scenario where team comprises of no CE and only BA's.
so highest possible # of BA's at firm = 4
GMAT Tutor
Joined: 24 Jun 2008
Posts: 1663
Re: There are four computer engineers and some business analysts at a firm  [#permalink]

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19 May 2019, 10:11
If every team of 5 you can make always has at least one engineer, then it's impossible to make a team of 5 analysts. So you can't have 5 (or more) analysts, and the most you can have is 4.
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Re: There are four computer engineers and some business analysts at a firm   [#permalink] 19 May 2019, 10:11
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