Logical Reasoning - Logical Deduction - Discussion

Discussion Forum : Logical Deduction - Section 1 (Q.No. 2)
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.


2.

Statements: All bags are cakes. All lamps are cakes.

Conclusions:

  1. Some lamps are bags.
  2. No lamp is bag.
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 the middle term 'cakes' is not distributed even once in the premises, no definite conclusion follows. However, I and II involve only the extreme terms and form a complementary pair. So, either I or II follows.
Discussion:
57 comments Page 2 of 6.

Kapil said:   1 decade ago
This question has multiple choices if we go by venn diagram approach. So we must go by selecting the middle term approach which give us unique answer with no conclusion can be drawn as mid term is not distributed.

Zafrul islam said:   1 decade ago
Let us assume that bag=X, cake=Y & lamp=Z, then from d question it is clearly indicated that X=Y & Z=Y, that means either some X=Z
or it may be no terms of z match with the x terms.So c is correct option.

Naveed said:   1 decade ago
According to the rule book to the Deduction.

Rule: Atleast one middle term in the premise should be distributed to give conclusion. If both are undistributed then no conclkusion.

In the given question both are undistributed hence no conclusion.

Udaya said:   1 decade ago
Please any can explain clearly?

Vipin said:   1 decade ago
Only the 1st conclusion follows. The two statements are universal affirmative, so in this case the answer should be either universal affirmative or particular affirmative, there can't be a negative statement as conclusion.

Kumar said:   1 decade ago
How to find extreme terms in logical reasoning?

Mayank said:   1 decade ago
What is extreme term and how to find it?

Sathish said:   1 decade ago
All (Universal affirmative statement) bags (+) are cakes (-).

All (Universal affirmative statement) lamps (+) are cakes (-).

Here the middle term is cakes (both are minus). At least one plus (+) should contain to follow the conclusion). So here both are minus. Answer is no conclusion.

Soumya said:   1 decade ago
Since middle term is not distributed no conclusions can be drawn.

Vik said:   1 decade ago
So. If the task were to find SP conclusion - then there should be no conclusion since M was undistributed in both premises.

However, if we draw some circles - we will see that either I or II follows. (that is why we cannot make SP conclusion. But can solve this task).


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