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 3 of 6.

Siddhant said:   9 years ago
Why we are not taking a possibility when the lamp circle is surrounded by bag circle and bag circle by cake circle since also fulfils the condition all lamps are cakes and all bags are cakes?

Hence the answer to the solution should be C.

Chitransh Sinha said:   8 years ago
The answer is C as there are only two possibilities i.e. some lamps are bags or no lamp is a bag. Only one of them has to be correct. One can deduce this using Venn diagram. Option D could have been the correct answer given that the conclusions had one different statement than stated above.

Williams said:   8 years ago
The law of syllogism takes two conditional statements and forms a conclusion by combining the hypothesis of one statement with the conclusion of another. Here is the general form:

P U Q.
Q U R.
Therefore, P U R.
Therefore the answer to the above question is D.

Ishu said:   1 decade ago
I think as the middle term is not used in any of the premises conclusion cannot be made. Anyone please clarify my doubt?

Imran said:   7 years ago
Since the middle term is distributed twice, so answer must be particular.

AYUSH SINGH RATHOUR said:   7 years ago
I too agree, According to the Verner diagram, the answer D should be the correct one.

Lucky Verma said:   7 years ago
Yes, agree D should be the correct answer.

Shubhangi said:   7 years ago
According to me, The correct answer must be D option.

Ajit Vishwakarma said:   6 years ago
The case in which all lamps are bags ensures the answer is D. Since all lamps are bags implies that conclusion 1 is not followed for this case.

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.


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