Question

In each of the questions below are given four statements followed by three conclusions numbered I, II & Ill. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements
Some keys are locks.
Some locks are numbers.
All numbers are letters.
All letters are words.

Conclusions
I. Some locks are letters.
II. Some words are numbers
III. All numbers are words.

• A. Only I & II follows
• B. Only II & III follow
• C. Only I & III follow
• D. Only I & either II or III follow
• E. All follow

Answer 1

The correct option is E All follow

The first and second premises are particular affirmative (I-type), and the third and fourth premises are universal affirmative (A-type).
Some locks are numbers.
All numbers are letters.
$I+A\Rightarrow I$- type conclusion.
Some locks are letters.
This is conclusion I.
Some locks are letters.
All letters are words.
$A+A\Rightarrow A$- type conclusion.
All numbers are words.
This is conclusion III.
Conclusion II is the converse of this conclusion.