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#### Mathematical operation and symbol notation

Direction: In the following information question, the symbol %, @, © and are used with the following meaning as illustrated below:
'P * Q' means 'P is not greater than Q'.
'P @ Q' means 'P is neither greater than nor equal to than Q'.
'P © Q' means 'P is not smallest than Q'.
'P % Q' means 'P is neither smallest than nor greater than Q'.
'P δ Q' means 'P is neither smallest than nor than Q'.
Now in each of the following questions assuming the given statements to be true, find which of the three conclusions I, II and III given below them is are definitely true and give your answer accordingly.

1. Statements:
H * W, W @ N, N % R
Conclusions:
I. R δ W II. N δ W III. H @ R
1. Only I and II are true
2. Only II and III are true
3. Only I and III are true
4. All I, II and III are true
5. None of these
##### Correct Option: D

H ≤ W ..(i) W < N ...(ii) R = N ...(iii)
Combining these we get H ≥ W < N = R
Hence R > W and I follows
Again N > W and II follows
And, H < R III follows