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sritamasia
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A Software company has 40 programmers 03 Dec 2021, 09:34
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

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45% (medium)

Question Stats:

29% (00:52) correct 71% (01:07) wrong based on 7 sessions

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A Software company has 40 programmers. 12 of them are hardware professionals too. How many hardware professionals does the company have?
I. 25% of the hardware professionals in the company are not programmers.
II. 76 employees are programmers or hardware professionals or both

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D
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MMahadevan
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A Software company has 40 programmers 03 Dec 2021, 10:19
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I dont think D is the answer for this , or I am not sure of the method.
would be glad to see the official explanation.

from question
known - P- 40 and both = 12
Assuming Neither=0
Need - H = ?

1. A - 25% of H are not P

Total = H+P-Both+Neither


T=40+H-12
two variables and one equation - Insufficent

2. 76 are either P or H or both

now 46=40+H-12 - Sufficient

So it is B -

I would be glad to know if my response or approach is wrong
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A Software company has 40 programmers 04 Dec 2021, 05:29
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sritamasia
A Software company has 40 programmers. 12 of them are hardware professionals too. How many hardware professionals does the company have?
I. 25% of the hardware professionals in the company are not programmers.
II. 76 employees are programmers or hardware professionals or both
Show more

BrentGMATPrepNow i picked D, but in both statements i get different results any idea why ? yeah i knpw because of mistake ...but what mistake :) in both sttatements i used double matrix

St1. let x be total number of hardware prof, hence x-0.25x=12 so x= 16 Sufficient

St. 2 if total is 76 then i get number of hardware prof 48


And btw "76 employees are programmers or hardware professionals or both" should i interpret this info as A+B+both or A+B-Both And Why ?pls explain :) .
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A Software company has 40 programmers 04 Dec 2021, 07:02
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dave13
sritamasia
A Software company has 40 programmers. 12 of them are hardware professionals too. How many hardware professionals does the company have?
I. 25% of the hardware professionals in the company are not programmers.
II. 76 employees are programmers or hardware professionals or both

BrentGMATPrepNow i picked D, but in both statements i get different results any idea why ? yeah i knpw because of mistake ...but what mistake :) in both sttatements i used double matrix

St1. let x be total number of hardware prof, hence x-0.25x=12 so x= 16 Sufficient

St. 2 if total is 76 then i get number of hardware prof 48
And btw "76 employees are programmers or hardware professionals or both" should i interpret this info as A+B+both or A+B-Both And Why ?pls explain :) .
Show more

As you pointed out, the two statements contradict each other. Statement 1 indirectly tells us that there are 15 hardware professionals, whereas statement 2 indirectly tells us there are 48 hardware professionals. This scenario doesn't follow the property of data sufficiency questions that says the two statements will never contradict each other (more here: https://www.gmatprepnow.com/module/gmat ... video/1104)
So, this isn't a GMAT worthy question (aside: It would be a GMAT worthy question if statement 2 read "75% of the hardware professionals in the company are not programmers.")

As for your second question, "76 employees are programmers or hardware professionals or both" means (programmers who are hardware professionals) + (programmers who are not hardware professionals) + (hardware professionals who are not programmers)

Another way to think about it is this: Let's say we went to the software company and said, "Raise your hand if you're a programmer, a hardware professional, or both."
Who are the people NOT raising their hand?
The people not raising their hands are neither programmers not hardware professionals.
This means the people raising their hands (1) are programmers who are hardware professionals, (2) programmers who are not hardware professionals, and (3) non-programmers who are hardware professionals.

I hope that helps.

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