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Syllogism

The document presents a series of logical reasoning questions based on given statements and conclusions. Each question requires determining which conclusions logically follow from the statements, with specific answer options provided. The solutions explain the reasoning behind the conclusions, indicating which are true or false based on logical deductions.

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0% found this document useful (0 votes)
27 views3 pages

Syllogism

The document presents a series of logical reasoning questions based on given statements and conclusions. Each question requires determining which conclusions logically follow from the statements, with specific answer options provided. The solutions explain the reasoning behind the conclusions, indicating which are true or false based on logical deductions.

Uploaded by

abrar2010abu
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as DOCX, PDF, TXT or read online on Scribd
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Directions (Questions 1-3): Two statements are given in each of the following questions, 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 conclusions and then decide
which of the given conclusions logically follows from the two disregarding known facts.

Give answer:

a: if only conclusion I follows

b: if only conclusion II follows

c: if either conclusion I or II follows

d: if neither I nor II follows

e: if both conclusions I and II follow

Q1: Statements: Conclusions

Some notebooks are books. I. Some notebooks are papers.

All books are papers. II. No paper is a notebook.

Q2: Statements: Conclusions:

All huts are mansions. I. Some temples are huts.

All mansions are temples. II. Some temples are mansions.

Q3: Statements: I. All caps are pencils.

All pens are pencils. II. Some caps are pencils.

No pencil is a cap. Find Your Answers Here

Conclusions:

Q1: (c), Q2: (e), Q3: (d)

Q4: Statements: Conclusions:

All flowers are candles. Some flowers are lanterns.

All lanterns are candles. Some candles are lanterns.

Solution:
Three possible diagrams are shown above for the given statements.
Conclusion I follows from last two possible solutions, but does not follow from the first possible
solution. Therefore, this conclusion is false.
Conclusion II follows from all the three possible solutions.
Therefore, conclusion II is true.

Which of the two conclusions can be concluded on the basis of given statements?

Statements: Conclusions:

Some parrots are scissors. Some scissors are parrots.

Some scissors are not combs. Some combs are parrots.

Solution: Now, in this case, the possible conclusion is: Some scissors are parrots (I to I), as the
universal principal no. 4 says, that with two particular statements only I to I is possible. Therefore,
only 1 conclusion is possible. Nothing else is possible.

Example 3: Which of the two conclusions can be concluded on the basis of given statements?

Statements:

All prisoners are men. All prisoners are uneducated.

No man is educated. Some men are prisoners.

Conclusions:

Solution: Two possible diagrams are shown below for the given statements.
Conclusion I follows from both the possibilities, so conclusion I is true.
Conclusion II also follows from both the possibilities, so conclusion II is also true.
Therefore, both conclusions are true.

xample 4: Which of the two conclusions can be concluded on the basis of given statements?

Statements: Conclusions:

All sides are lengths. All lengths are sides

No length is a breadth. No breadth is a side

Solution: Two possible diagrams are shown below for the given statements.

Conclusion I: False (conclusion follows from the second possibility but doesn't follow from the first
possibility)
Conclusion II: True (conclusion follows from both the Venn diagram possibilities.)

Therefore, only conclusion II is true.

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