GATE CSE 2019 | Question: GA-7

Question

In the given diagram, teachers are represented in the triangle, researchers in the circle and administrators in the rectangle. Out of the total number of the people, the percentage of administrators shall be in the range of _______

• A. $0$ to $15$
• B. $16$ to $30$
• C. $31$ to $45$
• D. $46$ to $60$

Comments

Sir ,

Is my logic valid ?

if Total no of administrator and no of administrator and researcher are same then administrator must have been a subset of researcher which it isn't so basically they all are values of there respective closed region?

Is that valid?

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I don't think this argument makes much sense. When one reads a question, he/she can interpret it in many ways. So, this is not the only way one could have interpreted this question. I hope Gate committee also see it this way. Anyway, we will have to accept the official answer key.

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Part C) correct
No. of Administrator=10+20+20=50
Total no. of person=160
Therefore required%=50/160=0.3125 *100= 31.25 Answer.

Answer 1

$\rightarrow$ No of administrator $=10+20+20=50$

$\rightarrow$ Total no of person $=80+20+20+40=160$

$\rightarrow$ Required $\%=(50/160)*100=31.25\%$

$\therefore$ Option $C$. $31$ to $45$ is the correct answer.

Comments

They never mentioned that given diagram is venn diagram. It could have been interpreted in any way to extract information from it. Moreover they ddnt say total teachers is sum of numbers in the triangle. They just said it is number in the triangle.

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But if that was not a Venn diagram then the question would be of no significance because all we are doing is considering it to be a Venn diagram , aren't we ?

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Some people did. Some didnt. And that s the ambiguity

Answer 2

This one was the stupidest question. Why can't you ask clearly if you want "just administrator" or "atleast an administrator" . How would not adding or adding those details make it a difference in judging of the capability of a student. This should be removed from scoring, I will appeal if no one does.

 

Edit: I have contested, got this email -- "Dear Candidate You have contested for the question(s). The same is under process. Please login at GOAPS website to check the updated status. -- GATE Admin, 2019 " . At the moment I do not see the contest on the GOAPS website though, they are still building it I guess.

Comments

Yes exactly I also considered only administrator. Accordingly I got no. of admins as 20 and total people as 100.

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Anyone, contesting for this question ??

@Arjun Sir,

Please can you help ??? I may be biased for my answer. Is it worth contesting for this one??

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I don’t understand what’s wrong with this question . The question clearly asks about the percentage of adminstrators so the answer should be 31.25% which is the total number of administrators.

Answer 3

Isn't the no of administrators = 20

Since 20 and 10 are not completely administrators.