GO Classes 2024 | IIITH Mock Test 5 | Question: 11

Answer 1

It is actually be:

$\forall \mathrm{x}[(\operatorname{singular}(\mathrm{x}) \wedge \operatorname{orthogonal}(\mathrm{x})) \rightarrow \sim \operatorname{symmetric}(\mathrm{x})]$

$\mathrm{P} \rightarrow \mathrm{Q} \Leftrightarrow \neg \mathrm{P} \vee \mathrm{Q}$ So, above formula can be written as

$\forall \mathrm{x}[(\sim \operatorname{singular}(\mathrm{x}) \vee \sim$ orthogonal $(\mathrm{x})) \vee \sim \operatorname{symmetric}(\mathrm{x})].$

Comments

Why not option (a) because from the statement it seems that if x will be either orthogonal or singular so it will not be a symmetric one.......

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Cause it is AND in the statement and OR in the option