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#### Mathematical operation and symbol notation

Direction: In the following information question, the symbol #, %, @, S and © are used with the following meaning as illustrated below:
'P # Q' means 'P is smallest than Q'.
'P % Q' means 'P is not greater Q'.
'P @ Q' means 'P is neither smallest than nor equal to Q'.
'P S Q' means 'P is neither greater than nor equal to Q'.
'P © Q' means 'P is neither smallest than greater nor greater than Q'.
In each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is are definitely true.

1. Statements:
R % N, N # F, F @ B
Conclusions:
I. F © R II. B S N
1. if only conclusion I is true
2. if only conclusion II is true
3. if either conclusion I or conclusion II is true
4. if neither conclusion I nor conclusion II is true
5. if both conclusion I and II are true
##### Correct Option: B

R ≤ N ...(i) N ≥ F ...(ii) F > B ...(iii)
From (i) and (ii) F and R can't be compared. Hence I does not follow.
Combing (ii) and (iii) we get N ≥ F > B or N > B or B < N. Hence II follows.