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Syllogism                                                                                           231
                syrups → conversion→ Some syrups are tablets (I).     not follow  by  combination. However,  since they
                Hence II follows.                                     make a complementary E-I pair, either of the two
            10.  (a) All benches are cots (A) → conversion → Some     must follow.
                cots are benches (I) Hence follows. No cot is lamp   13.  (d) All rats are bats + Some bats are desks = I + A
                + Some lamps are candles = I + E = O* = Some          = No conclusion Hence I and subsequently II do not
                candles are not cots Hence II does not follow         follow.
            11.  (e) All dogs are goats + All goats are walls = A + A   14.  (b) All ponds are stores + Some stores are bags = I
                = A = All dogs are walls. (I) Hence I follows. Some   + A = No conclusion Hence I does not follow. Some
                cats are dogs + All dogs are walls = I + A = I =      roads are ponds + All ponds are stores = I + A =
                Some cats are wall → conversion → Some walls are      I = Some roads are stores → conversion → Some
                cats. (I) Hence II follows.                           stores are roads (I) Hence II follows.
            12.  (c) Some sofas are benches + Some benches are
                tables = I + I = No conclusion. Hence I and II do

                                                    Concept Cracker


            1.   (d) All pins are rods + Some rods are chains = A +   Hence I follows.
                I = No conclusion Hence I and III does not follow.   7.   (e) All sofas are beds + All beds are mats = A + A =
                However, the two a complementary I-E pair, Hence      A = All sofas are mats → conversion → Some mats
                either I or III follows. Some rods are chains + All   are sofas (I). Hence I follows. All tables are sofas +
                chains are hammers = I + A + I = Some rods are        All sofas are beds = A + A = A = All tables are beds
                hammers → conversion → Some hammers are rods          → conversion → Some beds are tables (I). Hence II
                (I). Hence II follows.                                follows. All tables are beds + All beds are mats =
            2.   (a) I-type statements can’t be combined.             A + A = A = All tables are mats → conversion →
            3.   (b) All buckets are tubs(A) → conversion ⇒ Some      Some mats are tables (I). Hence III follows.
                tubs  are buckets  (I) Hence II  does not follow.  All   8.   (d) I-type statements can’t  be combined no
                buckets are tubs + All tubs are drums A + A = A =     conclusion follow by combined But II and III make a
                All buckets are drums → conversion → Some drums       complementary I-E pair, Hence either I or III follows.
                are buckets + All buckets are drums = A + A + I +   9.   (a) Some trees are houses + All houses are wheels =
                = Some drums are pots(I). Hence II follows.           I + A = I = Some trees are wheels → (I) conversion
            4.   (c) All pins are bags (A) → conversion → Some bags   → Some wheels  are trees (I). Hence I follows. All
                are pins (I). All needles are bags + Some bags are    flowers are trees  → (A) conversion  → Some trees
                pins = A + I = No conclusion Hence I and III do       are flowers (I). Hence II follows. But II and III can’t,
                not follow by combination. However, they form an      be combined as they are I-type statements Hence III
                complementary E-I pair, either I or III follows. Again,   does not follow.
                All chalks are bags + conversion of All needles are   10.  (d) All windows are doors + All doors are boats = A
                bags  =  A +  I  =  No conclusion Hence II  do not
                follow                                                + A = A = All windows are boats. Hence I follows.
                                                                      All buildings are doors + All doors are boats = A +
            5.   (a) Some buses are trucks + Some trucks are boats    A = A = All buildings are boats. Hence II follows. All
                = I + I = No conclusion Hence II and consequently     doors are boats (A) → conversion → Some boats are
                do not follow Some trucks are boats + No boat is      doors(I). Hence III follows.
                jeep = I + E = O = Some trucks are not jeeps.
                Hence III does not follow.                       11.  (d) Some  radios are telephones +  All telephones
            6.   (d) All flowers are trees + All trees are jungles = A   are mirrors = I + A = I = Some radios are mirrors
                                                                      Hence  II follows Some  radios  are mirrors + All
                + A = A = All flowers are jungles → conversion →      mirrors are desks = I + A = I = Some radios are
                Some jungles are flowers Hence III follows. All trees   desks Hence I follows. All telephones are mirrors +
                are jungles + No jungle is hill = A + E = E = No
                tree is hill. Hence III follows. All flowers are trees +   All mirrors are desks = A + A = All telephones are
                No tree is hill. Hence II follows. All flowers are trees   desks → conversion → Some desks are telephones
                + No tree is hill = A + E = E = No flower is hill.    (I). Hence III follows.
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