Aspire Faculty ID #16249 · Topic: NIMCET 2011 · Just now
NIMCET 2011

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 freshmen think
(4) Some humans who think are not students

Those which are logical consequences of I, II and III are:

Solution

From I: All freshmen are human
From II: All students are human
From III: Some students think ⇒ therefore those students are humans who think.

Check each statement:

(1) All freshmen are students
→ NOT necessarily true. We only know freshmen ⊆ humans, students ⊆ humans. No link freshmen ⊆ students.
⇒ NOT a consequence.

(2) Some humans think
Since some students think and all students are humans ⇒ some humans think is TRUE.
⇒ CONSEQUENCE.

(3) No freshmen think
Nothing in the statements says freshmen do not think.
⇒ NOT a consequence.

(4) Some humans who think are not students
We only know some students think. We do NOT know that any thinker is outside students.
⇒ NOT a consequence.
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