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.

Saumya Gupta said:   4 years ago
I think E should be the answer.
(4)

Shantanu said:   4 years ago
The statement "Some swords are sharp" only tells about some swords being sharp but it does not imply that some swords are not sharp. This statement is true even if all the swords are sharp. Because if all the swords are sharp, then definitely some swords are sharp. By extension of this logic, all the rusty (things) may also be sharp. Hence conclusion II is not true.
(A conclusion that is false in even one case is basically false overall).
(1)

Avinash said:   4 years ago
Since this question is only about sharpness, So, only 1 will follow.


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