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

Statement: E < F ≤ G > H ≥ K

Conclusions:

I. F > H

II. G < E

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  1. Only conclusion I is true
  2. Only conclusion II is true
  3. Either conclusion I or II is true
  4. Both conclusions I and II are true
  5. Neither conclusion I nor II is true

Answer (Detailed Solution Below)

Option 5 : Neither conclusion I nor II is true
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Detailed Solution

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Given statement: E < F ≤ G > H ≥ K

Conclusions: 

I. F > H → False (as E < F ≤ G > H ≥ K → F ≤ G > H → no clear relation between F and H can be determined as there are opposite signs between F and H. So, It is false)

II. G < E → False (as E < F ≤ G > H ≥ K → E < F ≤ G → E < G. So, it is false)

Hence, Neither conclusion I nor II is true.

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