• Reasoning Ability - Syllogisms
Question

Statements:    Some wins are trophies.

                       Some trophies are cups.

                       No cup is a prize.

Conclusions:   I. At least some cups are wins.

                       II.All prizes being trophies is a possibility.

  • A) Both conclusions I and II are true
  • B) Only conclusion II is true
  • C) Only conclusion I is true 
  • D) Either conclusion I or II is true
  • E) Neither conclusion I nor II is true
Solution

Ans : (B)

Some wins are trophies (I) + Some trophies are cups (I) = I + I = No conclusion. Hence conclusion I does not follow. Again, some trophies are cups (I) + No cup is a prize (E) = I + E = 0 = Some trophies are not prizes. But the possibility in II exists. Hence conclusion II follows.

Ans : (B)

Some wins are trophies (I) + Some trophies are cups (I) = I + I = No conclusion. Hence conclusion I does not follow. Again, some trophies are cups (I) + No cup is a prize (E) = I + E = 0 = Some trophies are not prizes. But the possibility in II exists. Hence conclusion II follows.
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