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.
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Statements
F ∗ T, T $ N, N @ R
Conclusions
I. R $ T
II. N © F
III. F $ R
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- None is true
- Only I is true
- Only II is true
- Only III is true
- 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.
