• Reasoning Ability - Syllogisms
Question

Statements : Some roses are white.
                     No rose is a yellow.
                     All white are lillies.

Conclusions : I. Some white are not yellow.
                      II. All roses being lillies is a possibility.

  • A) if only conclusion I follows
  • B) if only conclusion II follows
  • C) if only conclusion III follows
  • D) if neither conclusion I nor II follows
  • E) if both conclusions I and II follow
Solution
E
Some roses are white (I) + All white are lillies (A) = I + A = I = Some roses are lillies So, All roses being lillies is a possibility.
Hence, conclusions II follows.

Again, Some roses are white (I) conversion – Some white are roses (I) + No roses is a yellow (E) = I + E = O = Some white are not yellow. Hence, conclusion I follows.

Hence, option E is correct.
E
Some roses are white (I) + All white are lillies (A) = I + A = I = Some roses are lillies So, All roses being lillies is a possibility.
Hence, conclusions II follows.

Again, Some roses are white (I) conversion – Some white are roses (I) + No roses is a yellow (E) = I + E = O = Some white are not yellow. Hence, conclusion I follows.

Hence, option E is correct.
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