In the following questions, symbols ©, #, %, $, and @ are used with the following meanings: M © N M \ © \ N M c ◯ N means M M M is smaller than N N N ...

Question

In the following questions, symbols ©, #, %, $, and @ are used with the following meanings:

  • M © NM \ © \ N means MM is smaller than NN
  • M \ # \ N means MM is either smaller than or equal to NN
  • M M \ % \ N means MM is greater than NN
  • M </span> \ NmeansmeansMiseithergreaterthanorequaltois either greater than or equal toN$
  • M @ NM \ @ \ N means MM is neither smaller than nor greater than NN (i.e., M=NM = N)

Given the statements:

L \ # \ M \ © \ N \ @ \ O \ % \ P; \quad N \ S \ Q \ @ \ T; \quad G \ # \ H \ © \ T

Determine which of the following conclusions are definitely true:

I. O </span> \ Q$

II. P P \ % \ G

III. H © LH \ © \ L

Choose the correct option:

Options

A.

(a) Both I and II

B.

(b) Only III

C.

(c) Both I and III

D.

(d) All I, II and III

E.

(e) Only I

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