In each of the questions below are given some statements followed by some conclusions. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements: E = F > G = H, G ≤ I = J ≤ K
Conclusions: I. H < J
II. H = J

Correct option is C

I. H < J (False) II. H = J (False).
Explanation: 
1. Merging the Statements
The statements share the variable G:
Statement 1: E=F>G=H
Statement 2: G≤I=J≤K
Since G=H and I=J, we can substitute these values into the second statement to find the direct relationship between H and J:
H≤J
2. Evaluating the Conclusions
The relationship H≤J means that either H is less than J (H<J) or H is equal to J (H=J).
Conclusion I: H < J This is not definitely true on its own because H could be equal to J.
Conclusion II: H = J This is not definitely true on its own because H could be less than J.
3. The "Either-Or" Logic
Since H and J must be related by one of these two conditions, and both conditions (< and =) together cover the entire relationship established by H≤J, this is a classic Either-Or case.
Final Answer: Either Conclusion I or II follows.