#### 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
F ∗ T, T \$ N, N @ R
Conclusions
I. R \$ T
III. F \$ R
1. None is true
2. Only I is true
3. Only II is true
4. Only III is true
5. II and III are true
##### Correct Option: C

Statements
F ∗ T ⇒ F ≤ T,
T \$ N ⇒ T < N, N @ R ⇒ N ≥ R
So, F ≤ T < N ≥ R
Conclusions
I. R \$ T ⇒ R < T      (false)
II. N © F ⇒ N > F      (true)
III. F \$ R ⇒ F < R      (false)
So, only Conclusion II is true from the given statements.