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.
Ravina said:
7 years ago
E is the correct answer.
Shobhit said:
8 years ago
E should be the correct answer.
Raman Singh said:
9 years ago
Can anybody explain why option C is not correct?
Navneet S said:
1 decade ago
Both would follow I think :)
any correction comments please.
any correction comments please.
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.
Vidhi said:
10 years ago
These are complementary pairs so both should follow?
Sonika singh said:
10 years ago
Both are valid because for the second statement we can take the negation that is:all rusty things are sharp and can make the venn diagram according but then the given statement will be violated so the conclusion 2 follows and thus both are valid.
Ardhendu said:
1 decade ago
Both the statements are valid conclusions as per the Venn diagrams, please check it.
Roshan said:
1 decade ago
Convert the statement I -- Some sharp are sword = I.
Statement II is A type,
I + A = O.
Some sharp are not rusty thing.
It means both are implicate.
Statement II is A type,
I + A = O.
Some sharp are not rusty thing.
It means both are implicate.
Brandon said:
1 decade ago
Where does it state that "swords" are "things" ?
Technically the conclusions have nothing to do with it, right?
Yes please post a Venn Diagram.
Technically the conclusions have nothing to do with it, right?
Yes please post a Venn Diagram.
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