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234 Syllogism
rains are flowers + All flowers are tubes = I + A = I Some balloons are chairs (I) Hence II follows. Some
= Some rains are tubes → conversion → Some tubes balloons are mirrors (I) → conversion → Some
are rains (I) Hence II follows. Some rains are flowers mirrors are balloons (I) Hence III follows.
+ All flowers are jungles = I + A = I = Some rains 24. (b) Some drums are posters + All posters are
are jungles → conversion → Some jungles are rains windows = I + A = I = Some drums are windows →
(I) Hence III follows. Some tyres are rains + Some conversion → Some windows are drums (I) Hence
rains are jungles = A + I = No conclusion Hence I I follows. All posters are windows + Some windows
does not follow. are tablets = A + I = No conclusion Hence neither
19. (d) All tables are boxes + All boxes are trunks = A I or III follows.
+ A = A = All tables are → trunks → conversion 25. (b) All branches are nets + Some nets are dresses
Some trunks are tables (I) Hence I follows. All chairs = A + I = No conclusion Hence I and IV does not
are tables + All tables are boxes = A + A = A = All follow. Some trains are branches → conversion →
chairs are boxes Hence II follows. All desks are chairs Some branches are trains (I) Hence III follows. Some
+ All chairs are boxes = A + A = A = All desks trains are branches + All branches are nets = I + A
are boxes → conversion → some boxes are desks (I) = I = Some trains are nets → conversion → Some
Hence III follows. All desks are boxes + All boxes are nets are trains (I) Hence II follows.
trunks = A + A = A = All desks are trunks Hence 26. (c) Some kites are desks + All desks are jungles. = I
IV follows. + A = I = Some kites are jungles → Conversion
20. (c) I-type statements can’t be combined. However, II → Some jungles are kites (I) Hence IV follows.
and III form a complementary I-E pair. So do III and some pencils are kites + Some jungles are kites = I
IV Hence either I or II and either III or IV follows. + I = No conclusion Hence I and II does not follow.
21. (a) Some cups are jugs + Some jugs are plates. = I + All desks are jungles + All jungles are mountains =
I = No conclusion Hence I does not follow. Nor does A + A = A = All desks are mountains → Conversion
II follow All papers are bottles + All bottles are cups → Some mountains are desks (I). Hence III follows.
= A + A = A = All papers are cups → conversion 27. (e) Some boards are lanes + All lanes are roads =
→ Some cups are papers (I) Hence III follows. All I + A = I = Some boards are roads → Conversion
papers are bottles (A) → conversion → Some bottle → Some roads are boards (I). Hence I follows. Some
are papers (I) Hence IV follows. chips are boards + Some boards are lanes = I + I =
22. (b) Some cables are brushes + All brushes are paints No conclusion Hence II and IV does not follow. All
= I + A = I = Some cables are paints → conversion papers are clips + Some chips are boards = I + A =
→ Some paints are cables (I) Hence I follows. All No conclusion Hence II and IV does not follow.
bulbs are wires (A) → conversion → Some wires are 28. (a) A + I and I + I both result is no conclusion.
bulbs (I) Hence II follows. No wire is cable + Some 29. (e) Some rings are doors + All doors are windows =
cables are brushes = I + E = O* = Some brushers I + A = I = Some rings are windows → Conversion
are not wires Hence III does not follow. All bulbs are → Some windows are rings(I) Hence II follows. All
wires + No wire is cable = A + E = E = No bulbs stones are hammers + No hammer is a ring = A +
is cable → conversion → No cable is bulb (E) Hence E = E No stones is a ring → conversion → No ring is
IV does not follow.
a stone (E) Hence IV does not follows. No stones is a
23. (d) All keys are balloons + Some balloons are mirrors ring + Some rings are doors = E + I = O* = Some
= A + I = No conclusion Hence I does not follow. windows are not stones Hence either I or II follows
All chairs are keys + All keys are balloons = A + as they form a complementary I-E pair.
A = A = All chairs are balloons → conversion →