#### 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 ::
D % A, A @ B, B © K, K % M
Conclusions ::
I. B \$ D
II. K # A
III. M # B
1. I, II and IV are ture
2. I, II and III are ture
3. II, III and IV are ture
4. I, III and IV are ture
5. All are ture
##### Correct Option: E

Statements ::
D % A ⇒ D ≤ A
A @ B ⇒ A = B
B © K ⇒ B < K
K % M ⇒ K ≤ M
i.e., D ≤ A = B < K ≤ M
Conclusions
I. B \$ D ⇒ B ≥ D         (✔)
II. K # A ⇒ K > A         (✔)
III. M # B ⇒ M > B         (✔)
IV. A © M ⇒ A < M         (✔)
Hence, all Conclusion I, II, III and IV are definitely true.