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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&rdq

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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


1). Only I follows
2). Only III follows
3). Either I or IV follows
4). Only I nor II follows


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1 answers

40 vote
Answered by on | Votes 40 |

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.

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