Direction: In the following questions, the symbols @, ©,  # and * are used with the following meaning as illustrated below: |
| \['P\,\,\$\,\,Q'\] means ?P is neither smaller than nor equal to Q?. |
| \[P\,\,Q\] means ?P is not greater than Q?. |
| \[P\,\,*\,\,Q\] means "P is neither greater than nor smaller than Q?. |
| \[P\,\,Q\] means ?P is neither greater than nor equal to Q?. |
| \[P\,\,\#\,\,Q\] means ?P is not smaller than Q?. |
| Now in each of the following questions assuming the given statements to be true, find which of the conclusions I, II, III and IV given below then is/are definitely true. |
| Statements: \[H\,\,\,\,R,\text{ }R\text{ }\text{ }M,\text{ }M\,\,*\,\,J\] |
| Conclusions I. \[J\text{ }\$\text{}R\] II. \[H\,\,J\] III. \[M\,\$\,H\] IV. \[H\,\,*\,\,J\] |
A) Only I and II are true
B) Only III and IV are true
C) Only I, II and III are true
D) All are true
E) None of these
Correct Answer: C
Solution :
\[\$=P>Q\] \[=P\le Q\] \[*=P=Q\] \[=P<Q\] \[\text{ }\!\!\#\!\!\text{ }=P\ge Q\] (c) Statements: \[H\le R,\,\,R<M,\,\,M=J\] \[\therefore \text{ }J\,\,=\,\,M\,\,>\,\,R\,\,\ge \,\,H\] Conclusions I. \[J\,\,>\,\,R\] ..?.... (3) II. \[H\,\,<\,\,J\] ..?.... (3) III.\[M\,\,>\,\,H\] ?...... (3) IV. \[H\,\,=\,\,J\] .......... (5)
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