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Question

In each question, three statements showing relationships have been given, which are followed by two conclusions I and II. Assuming that the given statements are true, find out which conclusion(s) is/are definitely true.
Statements : J c P, P $ N, J pounds H
Conclusions:
I. J c N
II. H @ P


A
if only conclusion I is true
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B
if only conclusion II is true
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C
if either I or II is true
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D
is neither I nor II is true
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E
if both I and II are true
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Solution

The correct option is D is neither I nor II is true
In these questions the negative meaning of these symbols is given to establish the relation between A and B, which can be easily converted to its simple and positive meaning. Expressing them mathematically, we get, @ > (greater than), c (equal to), pounds (means either greater than or smaller than, but no definite conclusion), ? < (smaller than), and $
J = P . . .(i), P N . . . (ii), J H (iii) From (i) and (ii), we get, J = P N N
I may be true but not necessarily so.
From (i) and (iii), P = J H P # H.
Hence, again II may be true but H < P may be another possibility. Hence, II is not true.

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