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:
- Some rusty things are sharp.
- Some rusty things are not sharp.
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 2 of 3.
Vipul said:
10 years ago
Imagine you have 10 swords. All sharp. Some of them are rusty.
So we can say that, some rusty THINGS (i.e Swords) are sharp.
But we cannot say, some rusty things are not sharp. As we don't have any other things which are rusty but not sharp. So II will not follow.
Hope I made it clear.
So we can say that, some rusty THINGS (i.e Swords) are sharp.
But we cannot say, some rusty things are not sharp. As we don't have any other things which are rusty but not sharp. So II will not follow.
Hope I made it clear.
Pawan said:
9 years ago
'Some swords are rusty' implies--->
1. Some swords are rusty
2. Some are not.
Since all swords are sharp, it contains both kind swords (1. Rusty and 2. Non-rusty) Hence,
---> Rusty swords are sharp + "non-rusty swords are sharp", Therefore, conclusion 2 is also implacable.
1. Some swords are rusty
2. Some are not.
Since all swords are sharp, it contains both kind swords (1. Rusty and 2. Non-rusty) Hence,
---> Rusty swords are sharp + "non-rusty swords are sharp", Therefore, conclusion 2 is also implacable.
Raman Singh said:
9 years ago
Can anybody explain why option C is not correct?
Abhi said:
9 years ago
E is correct as both statements obey.
(1)
Shobhit said:
8 years ago
E should be the correct answer.
Ravina said:
7 years ago
E is the correct answer.
Sahil said:
5 years ago
Right, thanks @Vipul.
Swarnna said:
5 years ago
Some swords are sharp means some swords are not sharp, not all swords are rusty so if it does not follow 2nd that means we can't say that all swords are rusty which is a contradiction. So it has to be both.
Priyanshu sinha said:
5 years ago
How A is correct? Explain me.
Nidhi said:
5 years ago
According to me, it will follow both.
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