Direction: In the following question, the symbols @, ©, %, $ and # are used with the following meanings as illustrated below: |
'X©Y' means 'X is neither greater than nor equal to Y'. |
'X@Y' means 'X is not greater than Y'. |
'X%Y' means 'X is neither smaller than nor equal to Y'. |
'X$Y' means 'X is not smaller than Y'. |
'X#Y' means 'X is neither greater nor smaller than Y'. |
Now in each of these questions assuming the given statements to be true, find which of the conclusions given below them is/are definitely true. |
Give answer |
I. P $ I. |
II. Z©P |
A) if only Conclusion I is true.
B) if only Conclusion II is true.
C) if either Conclusion I or II is true.
D) if neither Conclusion I nor II is true.
E) if both Conclusion I and II are true.
Correct Answer: E
Solution :
Given statements: \[\text{Z I }\Rightarrow \text{ Z I}...\text{(i)}\] \[\text{I L }\Rightarrow \text{ I }\le \text{ L}...\text{(ii)}\] \[\text{L }\!\!\#\!\!\text{ P }\Rightarrow \text{ L = P}..\text{(iii)}\] Combining (i), (ii) and (iii), we get \[\text{Z I }\le \text{ L = P }\!\!~\!\!\text{ }...\text{(iv)}\] Check for conclusion I. \[\text{P }\!\!\$\!\!\text{I}\Rightarrow\text{P}\ge\text{I}\] From (iv), \[\text{I }\le \text{ P}\]or \[\text{P }\ge \text{ I}\] is true. Check for conclusion II. \[\text{Z P }\Rightarrow \text{ }\!\!~\!\!\text{ Z P}\] From (iv), \[\text{Z P}\] is true.You need to login to perform this action.
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