Logical Reasoning - Logical Deduction - Discussion

Discussion Forum : Logical Deduction - Section 1 (Q.No. 3)
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.


3.

Statements: All mangoes are golden in colour. No golden-coloured things are cheap.

Conclusions:

  1. All mangoes are cheap.
  2. Golden-coloured mangoes are not cheap.
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:
Clearly, the conclusion must be universal negative and should not contain the middle term. So, it follows that 'No mango is cheap'. Since all mangoes are golden in colour, we may substitute 'mangoes' with 'golden-coloured mangoes'. Thus, II follows.
Discussion:
13 comments Page 1 of 2.

Dipin jose said:   7 years ago
Since middle term is coming in the second conclusion it won't follow (Rule 1). So option E and B can be eliminated. Then from Rule 6 we know if one premise is negative conclusion must be negative so conclusion 1 also won't follow. So option A and option C can be eliminated. Then D will be answer I guess.

Shankar said:   9 years ago
We may also say that,

According to rule - if any one statement is negative then both conclusion must be also be negative, But in this conclusion one are not negative.

So, only 2nd follows.

Mkyadav said:   7 years ago
We know middle term should not be used in the conclusion. Here golden colour is middle term then how it can be used in the conclusion. So its answer should be no conclusion would follow.

Sia said:   4 years ago
How do we add the middle term in conclusion?

The golden colour is middle term a subject in the major premise.

Bu2 said:   1 decade ago
We are no way concern about "Golden-coloured mangoes", because the term is not there in both the premises.

Sneha said:   8 years ago
But in the second premise, only 'things' are said! No scene of mango in there! then why conclusion II?

Crizy said:   8 years ago
The mango is a golden thing, and all golden things are expensive, so the mango would be expensive.

Sai vihar said:   7 years ago
All gold colour things are not cheap that means they are expensive.

So only 2 follows.

Neethu said:   1 decade ago
Since the 2nd premise is negative, how a conclusion can be formed ?

SOPHIABN said:   7 years ago
Here, We have to consider the negative part of the universe.


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