• Reasoning Ability - Syllogisms
Question

Statements :  All bottles are glasses.
                        No cup is a glass.
  
Conclusions : I.     No bottle is a cup.
                        II.   At least some glasses are bottles.

  • A) if only conclusion I follows.
  • B) if only conclusion II follows.
  • C) if either conclusion I or conclusion II follows.
  • D) if neither conclusion I nor conclusion II follows.
  • E) if both conclusion I and conclusion II follow.
Solution
E

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.

Hence, conclusion I follows.

Again ,

All bottles are glasses (A) = Some glasses are bottles (I). It means,

At least some glasses are bottles.

Hence conclusion II follows.

Thus, both conclusion I and II follow.

Hence, option E is correct.

E

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.

Hence, conclusion I follows.

Again ,

All bottles are glasses (A) = Some glasses are bottles (I). It means,

At least some glasses are bottles.

Hence conclusion II follows.

Thus, both conclusion I and II follow.

Hence, option E is correct.
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