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: \[B\,\,\#\,\,K,\,\,K\,\$\,M,\,\,C\,\,M\] |
| Conclusions I. \[B\,\,\$\,\,C\] II. \[K\,\,C\] III. \[B\,\,*\,\,C\] IV. \[K\,\,*\,\,C\] |
A) Only I and III are true
B) Only II and IV are true
C) Only I, II and III are true
D) Only II, III and IV is true
E) None of these
Correct Answer: E
Solution :
\[\$=P>Q\] \[=P\le Q\] \[*=P=Q\] \[=P<Q\] \[\text{ }\!\!\#\!\!\text{ }=P\ge Q\] (e) Statements: \[B\,\,\ge \,\,K,\text{ }K\,\,>\,\,M,\text{ }C\,\,\le \,\,M\] \[\therefore \,\,\,B\ge K>M\ge C\] Conclusions I. \[B\,\,>\,\,C\] ?...... (3) II.\[K\,\,<\,\,C\]....... (5) III.\[B\,\,=\,\,C\]?..... (5) IV.\[K\,\,=\,\,C\]?.... (5)
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