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:
- Some lamps are bags.
- No lamp is bag.
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 4 of 6.
Micheal said:
1 decade ago
Can anyone tell me the concept behind this types of problem?
Sanchita said:
1 decade ago
What exactly do we have to follow? the venn diagram approach or subject predicate distributed undistributed conclusions ?
Pranav Vikram said:
1 decade ago
All bags are cakes.
All lamps are cakes.
(Venn Diagram Approach).
Draw a rectangle, name it "cakes"
Lamps and bags will come inside this rectangle, right?
Now draw a circle inside the rectangle and name it "bags"
Now for lamps there are two cases,
i.We can draw a circle "lamps" that overlaps with "bags"
ii. We can draw a circle that is disjoint from "bags"
These are the two options. At a time only one can be true right? (Because two circles can never intersect and be disjoint at the same time).
So the answer is Either.
All lamps are cakes.
(Venn Diagram Approach).
Draw a rectangle, name it "cakes"
Lamps and bags will come inside this rectangle, right?
Now draw a circle inside the rectangle and name it "bags"
Now for lamps there are two cases,
i.We can draw a circle "lamps" that overlaps with "bags"
ii. We can draw a circle that is disjoint from "bags"
These are the two options. At a time only one can be true right? (Because two circles can never intersect and be disjoint at the same time).
So the answer is Either.
Vyzz said:
1 decade ago
Why can't all bags be lamps? So is option 'C' correct?
Srinath said:
1 decade ago
Guys do these all kinds of logical deductions by drawing vernier diagrams, then you will not get confusion.
Prashant said:
1 decade ago
If the middle term is not distributed then how could we drawn any conclusion i.e. the answer must be no conclusion and as far as the given options is concerned the answer must be neither I nor II rather than the either I or II.
Please reply what is the correct answer I'm quiet confused.
Please reply what is the correct answer I'm quiet confused.
Vikas said:
1 decade ago
Please explain extreme terms?
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).
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).
Soumya said:
1 decade ago
Since middle term is not distributed no conclusions can be drawn.
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.
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.
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