| Direction: In the following questions, the symbols $, %, @, © and * are used for the following meanings as illustrated below: |
| 'A % B' means 'A is neither greater than nor smaller than B'. |
| *A $ B' means 'A is neither smaller than nor equal to B' |
| 'A © B' means 'A is neither greater than nor equal to B' |
| 'A * B' means 'A is not greater than B' |
| 'A @ B' means 'A is not smaller than B' |
A) P @ R % Q © M * N $ L
B) P @ R @ Q % M © N © L
C) P © R @ Q % M © N * L
D) P @ R % Q * M % N @ L
E) P % S @ Q % M © N $ L
Correct Answer: B
Solution :
\[%\to \,=,\,\,\$\to\,>,\,\,\to\,\,<,\,\,*\to\,\,\le\,\,\to\,\ge,\] Given expressions: \[PQ\Rightarrow P\ge Q\] ?(i) \[M\,\,L\Rightarrow M<L\] ?(ii) Check options one by one. 1. \[PR\,\,%\,\,Q\,\,M*N\,\$\,L\] \[\Rightarrow \]\[P\ge R=Q<M\le N>L\] Hence \[P\ge Q\] is true. But \[M<L\]is not true. 2. \[P\,\,\,\,R\,\,\,\,Q\,\,%\,M\,\,N\,\,L\] \[\Rightarrow \]\[P\ge R\ge Q=M<N<L\] Thus, \[P\ge Q\]is true. Again, \[M<L\]is also true, Hence (b) follows. 3. \[P\,\,R\,\,\,\,Q\,\,%\,\,M\,\,N*L\] \[\Rightarrow \,P<R\ge Q=M<N\le L\] Thus, \[P\ge Q\]is not true. 4. \[P\,\,\,R\,\,%\,\,Q\,\,*M\,%\,NL\] \[\Rightarrow \]\[P\ge R=Q\le M=N\ge L\] Thus, \[P\ge Q\]is true. But \[M<L\]is not true. 5. P % S @ Q % M © N $ L \[\Rightarrow \]\[P=S\ge Q=M<N<L\] Thus, \[P\ge Q\]is true. But \[M<L\]is not true.
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