Question

If

p, q, r, s

and

t

are simple statements, such that

p:

A number is terminating.

q:

A number is recurring.

r

: A number is a rational number.

s

: A number is an irrational number.

t

: A number is a real number.
Then, the compound statement, 'A number is an irrational number if and only if it is neither non-terminating nor not recurring or rational if and only if it is terminating or if non-terminating, then must be recurring and if the number is real, it can be rational or irrational', is represented by

Accepted Answer

$[s \leftrightarrow-(p \vee q)] \vee[r \leftrightarrow\{p \vee(-p \rightarrow q)\}] \wedge[t \rightarrow(r \vee s)]$

Answer

$[s \rightarrow-(p \wedge q)] \vee[r \rightarrow[p \vee(p \rightarrow q)\}] \wedge[t \rightarrow(r \vee s)]$

Answer

$[s \leftrightarrow-(p \wedge q)] \vee[r \rightarrow\{p \vee(p \rightarrow q)\}] \wedge[t \rightarrow-(r \wedge s)]$

Answer

None of the above

JEE MATHEMATICS MCQ: MATHEMATICAL REASONING

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