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Question

Logical Reasoning Question on Syllogisms

Directions: In the question two statements are given which are followed by four conclusions (1), (2), (3) and (4). Choose the conclusions which logically follow from the given statements.
Statements: All pens are instruments. Some green things are instruments.
Conclusions:
(1) All pens are green.
(2) All green things are pens.
(3) Some instruments are green.
(4) All instruments are pens.

A

Only (4)

B

Only (3)

C

Only (2)

D

Only (1)

E

Only (1) & (3)

Answer

Only (3)

Explanation

Solution

Pens, Instruments and Green Things

Option A: We know all pens are instruments. However, this does not mean that all instruments are pens. Thus, option A is not necessarily true. Option B: Correct. As can be seen from the Venn diagrams, if some green things are instruments then it follows that some instruments are green. Option C: We only know that some green things are instruments. From this we cannot draw any conclusion regarding the relation between pens and green things.
Option D: As explained above, we cannot establish a conclusive relationship between pens and green things.
Option E: Only statement (3) is correct.
So, the correct answer is B.