Directions: In the following questions, the symbols $, %, *, & and © are used with the following meaning as illustrated below:
P & Q means “P is neither smaller nor equal to Q”;
P % Q means “P is not smaller than Q”;
P @ Q means “P is not greater than Q”;
P # Q means “P is neither smaller than nor greater than Q”;
P $ Q means “P is neither greater nor equal to Q”.
Based on the information provided above, answer the following questions.
Statements:
G % A & D, Q # R $ G, F $ A
Conclusions:
I) F % D
II) D # A
III) Q $ G
IV) F % Q
According to the information given,
P |
|||||
Symbol |
& |
% |
@ |
# |
$ |
Meaning |
> |
≥ |
≤ |
= |
< |
Q |
Given statement: G % A & D, Q # R $ G, F $ A
After converting: G ≥ A > D, Q = R < G, F < A
On combining: Q = R < G ≥ A > D; F < A
I) F % D ⇒ F ≥ D → False (A > D; F < A; the clear relation between F and D cannot be determined.)
II) D # A ⇒ D = A → False (A > D)
III) Q $ G ⇒ Q < G → True (Q = R < G)
IV) F % Q ⇒ F ≥ Q → False (Q = R < G ≥ A; F < A
→ the clear relation between F and Q cannot be determined.)
Hence, only III follows.