#### Mathematical operation and symbol notation

Direction: In the following questions, the symbols @, \$, #, © and % are used with the following meanings as illustrated below.
'P \$ Q' means 'P is not smaller than Q'.
'P © Q' means 'P is neither smaller than nor equal to Q'.
'P # Q' means 'P is neither smaller than nor equal to Q'.
'P % Q' means 'P' is not greater than Q'.
'P @ Q' means 'P is neither greater than nor smaller than Q'.

Now, in each of the following questions assuming the given statements to be true, find which of the four Conclusions I, II, III and IV given below them is/are definitely true and given your answer accordingly.

1. Statements ::
R # J, J \$ D, D @ K, K % T
Conclusions ::
I. T # D
II. T @ D
III. R # K
IV. J \$ T
1. Either I or II is true
2. Only III is true
3. III and IV are true
4. Either I or II and III are true
5. None of the above
##### Correct Option: D

Statements
R # J ⇒ R >J
J \$ D ⇒ J ≥ D
D @ K ⇒ D = K
K % T ⇒ K ≤ T
i.e., R > J ≥ D = K ≤ T
Conclusions
I. T # D ⇒ T > D       (may be)
II. T @ D ⇒ T = D          (may be)
III. R # K ⇒ R > K           (✔)
IV. J \$ T ⇒ J ≥ T             (x)
Hence, either conclusion I or II and III are definitely true.