Syllogism
Syllogism
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4. Statements : All bottles are glasses.
No cup is a glass.
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8. Statements : No sheet is a paper.
All papers are books
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12. Statements : Some mice are keyboards.
No keyboard is a key.
All keys are rings.
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20. Statements : All stamps are packets.
Some packets are tubes.
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24. Statements : All woods are tables.
No table is a chair
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35. Statements : All chairs are tables.
All tables are bottles.
Some bottles are jars.
No jar is bucket.
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43. Statements : All sofas are beds.
No bed is a couch.
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47. Statements : No doors is a window.
All windows are locks.
All locks are keys.
CORRECT OPTIONS:
1 2 3 4 5 6 7 8 9 10
D A C E B D E E A A
11 12 13 14 15 16 17 18 19 20
E B E C A B B E A E
21 22 23 24 25 26 27 28 29 30
E B D B D A E B B D
31 32 33 34 35 36 37 38 39 40
C D E B C A D B E B
41 42 43 44 45 46 47 48 49 50
D B B B A B E D B B
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Explanations:
1. E + E = No conclusion
2. All rewards are medals (A) + All medals are awards (A) = A + A = A = All rewards are awards.
4. All bottles are glasses (A) + [No cup is a glass (E)] = No glass is a cup (E) = A + E = E = No bottle is a cup.
Again,
All bottles are glasses (A) = Some glasses are bottles (I). It means,
5. All entrances are windows (A) + All windows are doors (A) + [No gate is a door (E)] = No door is a gate
(E) = A + E = E = No entrance is a gate.
Hence, conclusion II follows .
Again,
All window are doors (A) + [No gate is a door (E)] = No door is a gate (E) = A + E = E = No window is a
gate.
6. Converse of first statement: ‘Some crops are signs.’ which is a surety and not a possibility. Hence, C1
does not follow.
And conclusion II does not follow either as it’s given in the statement II that ‘All crops are areas.’
7. All songs are poems (A) + All poems are rhymes (A) = A + A = A = All songs are rhymes.
From the above given conclusion and statement III, we get first conclusion:
All songs are rhymes (A) + No rhyme is a paragraph (E) = A + E = E = No song is a paragraph.
8. 'No sheet is a paper' gives us an inference that 'Some papers are not sheets' for sure. Therefore, C2
follows.
Similarly, from 'All papers are books' it is evident that 'Some papers are definitely books'. Clearly, C1
follows as well.
All bags are books (A) + Some books are boxes (I)
From both the statements it's evident that they are not properly aligned and the middle term 'books' is
not being distributed in either of the statements. Therefore conclusion II doesn't follow
10. No keyboard is a key (E) + All keys are rings (A) = E + A = O* = Some rings are not keyboards. Hence,
conclusion I follows.
Again, Some mice are keyboards (I) + No keyboard is a key (E) = I + E = O = Some mice are not keys.
Thus, the possibility in II does not exist. Hence, conclusion II does not follow.
11. Some red are colours (I) + All colours are black = I + A = I = Some red are black – conversion – Some
black are red (I) + No red is a paint (E) = I + E = O = Some black are not paints.
12. Some mice are keyboards (I) + No keyboard is a key (E) = I + E = O = Some mice are not keys + All keys
are rings (A) = O + A = No definite conclusion follows between the classes 'Mice' and 'Rings'. Hence,
conclusion I does not follow.
The possibility between these two classes, therefore, exists. Hence, conclusion II follows.
13. Some red are colours (I) + All colours are black (A) = I + A = I = Some red are black So, All red being black
is a possibility.
Again, Some red are colours (I) conversion – Some colours are red (I) + No red is a paint (E) = I + E = O =
Some colours are not paints.
Again, All stickers are cups (A) + No cup is a wire (E) = A + E = E = No sticker is a wire. Hence, conclusion
II follows.
Hence, option C is correct.
15. All stickers are cups (A) + No cup is a wire (E) = A + E = E = No sticker is a wire, now
No sticker is a wire (E) + All wires are bulbs (A) = E + A = O* = Some bulbs are not stickers.
16. Some pens are books – converse – Some books are pens. Now,
All pages are books (A) + Some books are pens (I) = A + I = No conclusion. Hence, conclusion I does not
follow. There is no negative statement. Hence, the possibility in II exists. Thus, conclusion II follows.
17. Some men are old (I) + No old is a boy (E) = I + E = O = Some men are not boys.
Hence, conclusion I does not follow. But the possibility in II exists. Thus, conclusion II follows.
18. Some cakes are bread (I) + All breads are toffees (A) = I + A = I = Some cakes are toffees – converse –
Some toffees are cakes. Hence, conclusion I follow.
19. There is no negative statement. So the possibility exists in I. Hence, conclusion I follows.
Again, Some cakes are breads – converse – Some breads are cakes. Hence, conclusion II does not
follow.
Hence, option A is correct.
20. There is no negative statement. Thus the possibilities exist in I and II. Hence, both the conclusion I and
II follow.
Now,
22. Some remarks are comments (I) + Some comments are birds (I) = I + I = I = No conclusion follows.
But the converse of second statement, we get ‘Some birds are comments’ which is conclusion II.
23. No fruit is a field (E) + All fields are pink (A) = E + A = O = ‘Some fruits are not pink.’ Which is not follows
any conclusions.
Converse of statement I we get, ‘No field is a fruit.’ which is not in given conclusions.
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24. No table is a chair (E) – converse – No chair is a table (E).
Hence conclusion I does not follow.
Again, All woods are tables (A) + No table is a chair (E) = A + E = E = No wood is a chair.
Hence conclusion II follows.
25. All dogs are animals (A) + No animal is a snake (E) = A + E = E = No dog is a snake.
Hence conclusion I does not follow.
Again, No animal is a snake (E) + Some snakes are scorpions (I) = E + I = O* = Some scorpions are not
animals.
Hence, conclusion II does not follow.
26. Some tubes are knives (I) + All knives are frames (A) = I + A = I = Some tubes are frames – conversion –
Some frames are tubes. Therefore, conclusion I follows.
Again,
All bulbs are tubes (A) + Some tubes are knives (I) = A + I = Middle term is not distributing = No
conclusion. Therefore, conclusion II does not follow.
27. Some beads are chairs (I) + All chairs are desks (A) = I + A = I = Some beads are desks – conversion –
Some desks are beads. Therefore, conclusion II follows.
Again,
Some beads are desks (I) + All desks are tables (A) = I + A = I = Some beads are tables – conversion –
Some tables are beads. Therefore, conclusion I follows.
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28. Some bank are colleges (I) + Some colleges are schools (I) = I + I = No conclusion follows
Again,
Some colleges are schools – converse – Some school are college. Therefore, conclusion II follows.
29. All mangoes are apples (A) + All apples are bananas (A) = A + A = A = All mangoes are bananas –
conversion – Some bananas are mangoes. Therefore, conclusion II follows.
Again,
All mangoes are bananas (A) + Some bananas are grapes (I) = A + I = Distribution not possible. So, No
conclusion. Therefore, conclusion I does not follow.
30. All books are pens (A) + Some pens are papers (I) → Middle term 'Pens' is not distributed in either of
the statements. Therefore, no definite conclusion follows between the classes 'Books' and 'papers'.
Again,
Some pens are papers (I) + Some papers are crystals (I) → Middle term 'Papers' is not distributed in
either of the statements. Therefore, no definite conclusion follows between the classes 'Pens' and
'Crystals'.
31. All goats are lions (A) + No lion is tiger (E) + Some tigers are horses (I) = (A + E) + I = E + I = O* = Some
horses are not goats.
Therefore, none of the conclusions follows. But conclusion I and II form I-E type of complementary
pair. Therefore, conclusion I or II follows.
Note: Kindly refer to the complete video tutorial Deduction Method | Video No 3 to learn how E+I
gives us an O type conclusion and that further gives us a complementary pair.
Some keys are locks (I) + All locks are cards (A) = I + A = I = Some keys are cards – converse – Some
cards are keys. Hence conclusion II follows.
Some keys are cards (I) + No card is a paper (E) = Some keys are not paper. Hence, conclusion III
follows.
33. Some pearls are gems (I) + All gems are diamonds (A) = I + A = I = Some pearls are diamonds (I) + No
diamond is stone (E) = I + E = O* = Some pearls are not stone.
Therefore, conclusion I and III form an I-E type of complementary pair. Therefore, either conclusion I or
III follows.
No diamond is stone – converse – No stone is diamond; Some stone are corals – converse – Some
corals are stone
Some corals are stone (I) + No stone is diamond (E) = I + E = O* = Some corals are not diamonds. Hence,
‘Some corals being diamond is possibility’.
34. Some apartments are flats (I) + Some flats are buildings (I) = I + I = No conclusion follows but possibility
exists because the statement are positive. Hence, conclusion I follows.
As statements II and III are positives therefore, conclusions II and III do not follow.
35. From the statement II and III we conclude that “Some tables being jar a possibility”. So the conclusion I
follows.
All chairs are tables (A) + All tables are bottles (A) = A + A = A = All chairs are bottles – converse – Some
bottles are chairs. Hence, conclusion II follows.
Some bottles are jars (I) + No jar is bucket (E) = I + E = O* = Some bottles are not bucket.
No buildings is an apartment (E) + All apartments are flats (A) = E + A = O* = Some flats are not
buildings. Hence no conclusion follow but All buildings can be flats is a possibility.
Hence, only conclusion I follows.
37. All oceans are rivers – converse – Some rivers are oceans. Hence, conclusion I does not follows.
All oceans are rivers (A) + No river is a canal (E) = A + E = E = No ocean is a canal. Hence, conclusion II
does not follow.
38. All nights are noon (A) + No noon is an evening (E) = A + E = No night is an evening
No night is an evening (E) + No day is night (E) = E + E = No conclusion follow. Hence, conclusion I does
not follow.
No night is a day (E) + Some noon are nights (I) = E + I = O = Some noon are not days. Hence,
conclusion does not follow but possibilities exists ‘All days being noon is a possibility’.
39. All pages are markers (A) + All markers are articles (A) = A + A = All pages are articles. Hence, conclusion
I follows.
All markers are articles – converse – Some articles are markers. Hence, conclusion II follows.
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40. Some fruits are apples (I) + All apples are guavas (A) = I + A = I = Some fruits are guavas
Some fruits are guavas (I) + No guava is banana (E) = I + E = O = Some fruits are not banana. Hence,
conclusion I does not follow.
All apples are guavas (A) + No guava is a banana (E) = A + E = No apple is a banana. Hence, conclusion II
follows.
42. Some bowls are plates (I) + No plate is a glass (E) = I + E = O = Some bowls are not glasses.
Hence, conclusion I does not follow. But the possibility in II exists. Thus, conclusion II follows.
Again, All sofas are beds (A) + No bed is a couch (E) = A + E = E = No sofa is a couch.
Hence conclusion II follows.
44. Some neems are trees (I) - conversion - Some trees are neems (I). Hence conclusion I does not follow.
Again, No tree is a pipal (E) - conversion - No pipal is an tree (E). It means all pipals are definitely not
trees. hence conclusion II follows.
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45. All flowers are plant (A) + No house is an stem (E) = A + E = E = No flowers is an stems – converse – No
stem is a flower. Hence, conclusion II does not follows.
No flowers is an stem (E) + All stems are fruits (A) = E + A = O* = Some fruits are not flowers. Hence no
conclusion follow but All flowers can be fruits is a possibility.
Hence, only conclusion I follows.
46. Some poster are pamphlets (I) + Some pamphlets are hoardings (I) = I + I = No conclusion follows here.
Again,
Some pamphlets are hoardings – converse – Some hoarding are hoarding. Therefore, conclusion II
follows.
47. All windows are locks (A) + All locks are keys (A) = A + A = All windows are keys. Hence, conclusion I
follows.
All locks are keys – converse – Some keys are locks. Hence, conclusion II follows.
48. All ponds are streams – converse – Some streams are ponds. Hence, conclusion I does not follows.
All ponds are streams (A) + No stream is a well (E) = A + E = E = No pond is a well. Hence, conclusion II
does not follow.
49. Some actors are directors (I) + No director is a producer (E) = I + E = O = Some actors are not producers
+ All producers are villains (A) = O + A = No definite conclusion follows between the classes 'Actors' and
'Villains'. Hence, conclusion I does not follow.
The possibility between these two classes, therefore, exists. Hence, conclusion II follows.
No winter is an spring (E) + No summer is winter (E) = E + E = No conclusion follow. Hence, conclusion I
does not follow.
No winter is a summer (E) + Some rainy are winters (I) = E + I = O = Some rainy are not springs. Hence,
conclusion does not follow but possibilities exists ‘All summers being rainy is a possibility’.
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