Question

Assume that the following three statements are true
I. All freshmen are human
II. All students are human
III. Some students think
Given the following four statements:
(1) All freshmen are students
(2) Some humans think
(3) No freshman think
(4) some humans who think are not students.
Those which are logical consequences of I, II and III are:

• A. $2$
• B. $4$
• C. $2,3$
• D. $2,4$
• E. $1,2$

Answer 1

The correct option is C $2,3$

Following three statements are true.

$I$ All freshmen are human.

$II$ All students are human.

$III$ Some students think.

$H$ denotes Human

$F$ denotes Freshmen

$S$ denotes Student

$T$ denotes Think

Therefore, the logical consequences are of $I,II$ and $III$ are some human think and No freshmen think.