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Read the given information carefully and answer the following question. A. 'P/Q' means 'P' is the son of 'Q'. B. 'P+Q' means 'P' is the father of 'Q'. C. 'P*Q' means 'P' is the wife of 'Q'. D. 'PxQ' means 'P' is the sister of 'Q'. E. 'P-Q' means 'P' is the mother of 'Q'. Which among the following expressions is true, if 'M' is the son of 'L' is definitely false

Question

Read the given information carefully and answer the following question. A. 'P/Q' means 'P' is the son of 'Q'. B. 'P+Q' means 'P' is the father of 'Q'. C. 'P*Q' means 'P' is the wife of 'Q'. D. 'PxQ' means 'P' is the sister of 'Q'. E. 'P-Q' means 'P' is the mother of 'Q'. Which among the following expressions is true, if 'M' is the son of 'L' is definitely false

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Solution

The question is asking for an expression that would make the statement "M is the son of L" definitely false.

Given the symbols and their meanings, we can see that 'M/Q' means 'M' is the son of 'Q'. Therefore, for the statement "M is the son of L" to be false, 'L' cannot be the father of 'M'.

Looking at the symbols, 'P+Q' means 'P' is the father of 'Q'. So, 'L+M' would mean 'L' is the father of 'M', which we want to avoid.

Therefore, we need to find an expression where 'L' is not the father of 'M'.

Here are the possible expressions:

  1. 'M*L' - This means 'M' is the wife of 'L'. This makes the statement "M is the son of L" false, because a person cannot be both the son and the wife of the same person.

  2. 'MxL' - This means 'M' is the sister of 'L'. This also makes the statement "M is the son of L" false, because a person cannot be both the son and the sister of the same person.

  3. 'M-L' - This means 'M' is the mother of 'L'. This also makes the statement "M is the son of L" false, because a person cannot be both the son and the mother of the same person.

So, the expressions 'M*L', 'MxL', and 'M-L' would all make the statement "M is the son of L" definitely false.

This problem has been solved

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