#### Mathematical operation and symbol notation

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

in each question, three statements showing relationship, have been given , which are followed by three Conclusions I, II and III. Assuming that the given statements to be true, find out which conclusion(s) is/are definitely true.

1. Statements
M @ D, D δ K, K © R
Conclusions
I. R \$ M
II. K δ M
III. K \$ M
1. Only I is true
2. Only II is true
3. Only III is true
4. Either II or III and I are true
5. Either II or III is true
##### Correct Option: D

Statements
M @ D ⇒ M ≥ K,
D δ K ⇒ D = K, K © R ⇒ K > R
So, M ≥ K = D > R
Conclusions
I. R \$ M ⇒ R < M      (true)
II. K δ M ⇒ K = M      ( may be)
III. K \$ M ⇒ K < M      ( may be)
So, from the given statements either II or III and I are true.