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In the following questions, the symbols ...

In the following questions, the symbols @, #, &, % and $ are used with different meanings as follows:
'A@B'means 'A is not less than B'.
'A#B' means 'A is less than B'.
'A & B'means 'A is not greater than B'.
'A%B' means 'A is greater than B'.
'A$B' means 'A is neither greater than nor less than B'.
Now in each of the following questions assuming the given statements to be true, find which of the two conclusions I and II given below them is/are definitely true.
Statement: U@V, V&T, T&S Conclusion:
U % T . II. S# V

A

if only conclusion I is true.

B

if only conclusion II is true.

C

if either conclusion I or conclusion II is true.

D

if neither conclusion I nor conclusion II is true.

Text Solution

Verified by Experts

The correct Answer is:
D

According to the question
`U ge V " "`…. (i)
`V le T " "` …. (ii)
`T gt S " "` …. (iii)
I. Relation between U and T
From (i) and (ii) , we get
`implies` No definite conclusion regarding U and T
So , conclusion I i.e, `U gt T` is not necessarily true .
II . Relation between S and V
From (ii) and (iii) , we get
`implies ` No definite conclusion regarding S and V
So , conclusion II i.e., `S lt V` is not necessarily true .
Therefore , neither conclusion I nor II is true .
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LUCENT PUBLICATION-CONCLUSIONS FROM CODED INEQUALITIES AND SYMBOLS -Exercise-1
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