In the following question assuming the given statements to be True, find which of the conclusion among given conclusions is/are definitely true and then give your answers accordingly.

Statements: D > F ≥ G ≥ H; H ≥ I = J

Conclusions

I. J = F

II. F > J

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  1. Only II is True
  2. Only I is True
  3. Both I and II are True
  4. Either I or II is True
  5. None is true

Answer (Detailed Solution Below)

Option 4 : Either I or II is True
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Detailed Solution

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Given statements: D > F ≥ G ≥ H; H ≥ I = J

On combining: D > F ≥ G ≥ H ≥ I = J

Conclusions:

I. J = F → False (as F ≥ G ≥ H ≥ I = J → J ≤ F)

II. F > J → False (as F ≥ G ≥ H ≥ I = J → F ≥ J)

Therefore, conclusion I and II forms a complementary pair.

Hence, Either I or II is True.

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