Logical Reasoning - Logical Deduction - Discussion

Discussion Forum : Logical Deduction - Section 1 (Q.No. 14)
Directions to Solve

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

Give answer:

  • (A) If only conclusion I follows
  • (B) If only conclusion II follows
  • (C) If either I or II follows
  • (D) If neither I nor II follows and
  • (E) If both I and II follow.


14.

Statements: Some swords are sharp. All swords are rusty

Conclusions:

  1. Some rusty things are sharp.
  2. Some rusty things are not sharp.
Only conclusion I follows
Only conclusion II follows
Either I or II follows
Neither I nor II follows
Both I and II follow
Answer: Option
Explanation:
Since one premise is particular, the conclusion must be particular and should not contain the middle term. So, I follows. Since both the premises are affirmative, the conclusion cannot be negative. Thus, II does not follow.
Discussion:
23 comments Page 3 of 3.

J.Seychell said:   1 decade ago
I think it depends on what is meant by "some swords are sharp". Does it mean 'at least some swords are sharp' or does it mean 'some swords are sharp and some aren't'? If the former is meant, the answer makes logical sense but if it is meant the latter, both will follow.

Diya said:   1 decade ago
Can anybody please explain the answer logically with the help of venn diagram and not with rules. bcoz I think both should follow.

Sam said:   1 decade ago
Yep both will follow.


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