GATE ECE 2014 Set 1 | GA | Question: 2

Question

Read the statements:

• All women are entrepreneurs.
• Some women are doctors.

Which of the following conclusions can be logically inferred from the above statements?

• A. All women are doctors
• B. All doctors are entrepreneurs
• C. All entrepreneurs are women
• D. Some entrepreneurs are doctors

Comments

similar question:

Analytical Aptitude: GATE2013 AE: GA-9 (gateoverflow.in)

---

$\text{why Option B)  is false ? }$

$\text{"All doctors are entrepreneurs"  Should be True } $

 

---

@umeshshelke ,

there will be some doctors who are entrepreneurs, not all doctors are entrepreneurs.

check out  this answer in the below.

---

there will be some doctors who are entrepreneurs, not all doctors are entrepreneurs.

@buriburizaemon Yes, you are right. There should be $\textcolor{blue}{\text{some}}$ doctors, not $\textcolor{red }{\text{all}}$ doctors. I got it .

Answer 1

Option D is correct.

"Some Entrepreneurs are Doctor".

PS: In the first statement if we replace "All" by "Some", then none of the options is true.

Answer 2

$\color{Red}{\text{Red}}$ colour shaded area represents, Some entrepreneurs are doctors.

So, the correct answer is $(D).$

Comments

although there are 8 possibilities that I can think of, but we can prove A, B, C as False with only this possibility and option D is true in all $8$ possibilities.

Answer 3

Option D is correct.

Some entrepreneurs are doctors

Answer 4

Ans D)

• A. also cannot be right, because there is a chance some doctors are male

Answer 5

D .

cause in B some doctors can be male .