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Direction: In the following questions, the symbols &, %, #, @ and © are used with the following meaning as illustrated below:‘X # Y’ means…

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Direction: In the following questions, the symbols &, %, #, @ and © are used with the following meaning as illustrated below:
‘X # Y’ means ‘X is neither greater than nor equal to Y’.
‘X © Y’ means ‘X is neither smaller than nor greater than Y’.
‘X & Y’ means ‘X is not greater than Y’.
‘X % Y’ means ‘X is greater than Y’.
‘X @ Y’ means ‘X is either greater than or equal to Y’.
Now in each of the following questions assuming the given statements to be True, find which of the conclusion/s given below them is/are definitely True?
Statements:
A @ B, E © G, C % F # E, B & D © C
Conclusions:
I. C © A
II. F % A
III. G # B

AOnly Conclusion I is True.
BBoth Conclusions I and II are True.
CEither Conclusion II or III is True.
DNone of the conclusion is True.

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Discussion 1

CCommunity27 Jun 2019

According to the given information,

X is

Symbol

#

©

&

%

@

Meaning

<

=

≤

>

≥

to Y

Given Statement: A @ B, E © G, C % F # E, B & D © C

On converting: A ≥ B, E = G, C > F < E, B ≤ D = C

On combining: A ≥ B ≤ D = C> F < E = G

Conclusions:

I. C © A → C = A → False (as A ≥ B ≤ D = C → hence relation can’t be determined)

II. F % A → F > A → False (as A ≥ B ≤ D = C > F → hence relation can’t be determined)

III. G # B → G < B → False (as B ≤ D = C > F < E = G → relation can’t be determined)

Hence none of the conclusion is true.