Syllogism
Solution
1. Answer: (C) I. Few tables are bat → False (It is possible
The least possible Venn diagram for the but not definite)
given statements is as follow: II. Some bats are not pens → False (It is
possible but not definite)
Hence, neither I or II follows.
4. Answer: (B)
The least possible Venn diagram for the
given statements is as follow:
Conclusions:
I. All desk being tattoo is a
possibility → True
II. At least some tattoo are wire → False (It
is possible but not definite)
Important points
Only a few means some and some not. Conclusions:
At least means some. I. Some chapatis are not chargers → False
Hence, only I follows. (It is possible but not definite)
2. Answer: (A) II. All chapatis can be parathas → True (As
The least possible Venn diagram for the relation of some given so that in case of
given statements is as follow: possibility it will follow)
Only a few means some and some not.
Hence, only II follows.
5. Answer: (D)
The least possible Venn diagram is as
Conclusions: follows,
I. Some pillows are not sandals → True
II. At Least some shoes are slippers → False
(It is possible but not definite)
Hence, only I follows.
3. Answer: (D)
The least possible Venn diagram for the Conclusion:
given statements is as follow: I. All white are black is a possibility →
False, because they have clearly mentioned
in the statement that only a few white are
black. So, all white cannot be black.
II. Some green are black.→ False, because
there is no definite relation between Green
and Black. So, some Green are black does
Conclusions: not follow.
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Hence, None follows. The least possible Venn diagram is as
6. Answer: (A) follows,
The least possible Venn diagram for the
given statements is as follows,
Conclusion:
I. Some goal are not sure → No happen are
sure, Some goal are happen, hence, some
Conclusion:
part of goals which is happen will not sure,
I. All laptops are pink → As all laptops are
hence, it is true.
black & all blacks are pink, all laptops are
II. Some happen are not sure → No happen
pink, hence true.
are sure, hence it is true.
II. All blacks are laptop → It is definite but
Thus, Both conclusion I and II follow.
not possible, hence false.
7. Answer: (D)
Hence, the only conclusion I follows.
The least possible Venn diagram for the
10. Answer: (A)
given statements is as follows,
Minimum possible venn diagram
Conclusion:
I. All books being pen is a possibility → I. Some words are not sentences. → True
This possibility is true, hence true. (Only a few words are sentences. Means
some words are sentences and some words
are not sentences)
II. Some vowels are sentences. → False
(This is possible but not definite)
Hence, Only conclusion I follows.
II. No book is pencil → As some pencils are 11. Answer: (B)
books, it is false. Minimum possible venn diagram
Hence, conclusion I follows.
8. Answer: (B)
The least possible Venn diagram for the
given statements is as follows,
Conclusion:
I. No prime is number. → False (It is
I. No coolers are desk → It is possible but
definitely false)
not definite, hence false.
II. Some prime are natural. → True
II. Some chairs are not desk → As no desk
(numbers which are prime are definitely
are chair, hence true.
natural)
Thus, Only conclusion II follows.
Hence, Only conclusion II follows.
9. Answer: (E)
12. Answer: (E)
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The least possible diagram for the given I. Some pens are scales. → False (No
statements is as follows relationship is given between pens and
scales, hence, it is possible but not definite.)
II. Some scales are pencil. → True (As all
scales are pencil is true, some scales are
pencil will also be true.)
Conclusions: 15. Answer: (C)
I. Some cups are not bucket. → True (It is The least possible Venn diagram for the
clearly mentioned in statement that only few given statements is:
cups are buckets that means some cups are
definitely not bucket)
II. Some cups are not jug. → True (Part of
cups which is bucket is definitely not jug)
Hence, both I and II follows.
13. Answer: (B)
he least possible Venn diagram for the given
statements is:
Conclusions:
I. All lemons are banana. → False ( No
specific information given about lemons and
banana, hence, it is possible but not
definite.)
II. Some lemons are not banana. → False
Conclusions:
( No specific information given about
I. Some stars are sun. → False (No
lemons and banana, hence, it is possible but
relationship is given between starts and sun,
not definite.)
hence this condition is possible but not
Both of the above conclusions are following
definite.)
the conditions of 'either -or' pair.
II. Some planet are sun. → True (As it is
Hence, either I or II follows.
given that 'only a few sun are planet.' some
Additional Information
planets must be sun.)
Conditions of Either-or case:
Hence, only II follows.
1. The elements should be the same in both
14. Answer: (B)
the statements.
The least possible Venn diagram for the
2. Both the conclusions should be false
given statements is:
individually.
3. One conclusion should be positive and
one conclusion should be negative
(Complementary pair)
The two complementary pairs are:
1) All + Some not
2) No + Some
Conclusions: Note: Some + Some not is not considered
under Either -or case.
16. Answer: (D)
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The least possible Venn diagram for the hence this condition is possible but not
given statements is: definite.)
18. Answer: (B)
The least possible Venn diagram for the
given statements is:
Conclusions:
I. All rectangle being circle is a
possibility. → True ( As nothing specific Conclusions:
about rectangle and circle is given and none I. Some apples are fruit. → False ( As there
of the given statements is contradicting this is no definite relation between apples and
possibility, hence the given possibility is fruit. Therefore this is possible but not
true. The possibility diagram is shown definite)
below: II. Some fruits are bananas. → True (As it is
given "Only a few fruits are bananas"
therefore some fruits are bananas is true)
Hence, only 2 follows is the correct answer.
19. Answer: (A)
The least possible Venn diagram is as
follows:
II. Some square are triangle. → True ( As
some square are circle and all the circle are
triangle, hence it is definitely true.)
Hence, both follow.
17. Answer: (D)
The least possible Venn diagram based on
the given statement is:
Conclusions:
I. Some pink are black. → True (As it is
given all black are pink this imply that
some pink are black.)
II. Some red are pink. → False (As there is
no definite relation between red and pink.
Therefore this is possible but not definite).
Hence, only 1 follows.
Conclusions:
20. Answer: (E)
I. Some tree are bird. → False (Nothing
The least possible Venn diagram for the
specific about tree and bird is given, hence
given statements is:
this condition is possible but not definite.)
II. Some pigeon are bird. → False (Nothing
specific about pigeon and bird is given,
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Both of the above conclusions are following
the conditions of 'either -or' pair.
Hence, either I or II follows.
Additional Information
Conditions of Either-or case:
1. The elements should be the same in both
the statements.
2. Both the conclusions should be false
Conclusions: individually.
I. All cats are animal. → False (No specific 3. One conclusion should be positive and
information given about cats and animals, one conclusion should be negative
hence, it is possible but not definite.) (Complementary pair)
II. Some cats are not animal. → False ( No The two complementary pairs are:
specific information given about cats and 1) All + Some not
animals, hence, it is possible but not 2) No + Some
definite.) Note: Some + Some not is not considered
under Either -or case.
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