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Joint Entrance Examination
Mathematics
Mathematical Reasoning
Question 44
Question 44 of 103
Easy
MCQ
Negation of the statement : \[\sqrt 5 \] is an integer or 5 is an irrational is :
A
\[\sqrt 5 \] is not an integer and 5 is not irrational.
B
\[\sqrt 5 \] is irrational or 5 is an integer.
C
\[\sqrt 5 \] is an integer and 5 is irrational.
D
\[\sqrt 5 \] is not an integer or 5 is not irrational.
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Official solution
p = \[\sqrt 5 \] is an integer. q : 5 is irrational \[ \sim \]
\left( {p \vee q} \right) ( \] \equiv
∼
\sim
∼
p
∧
\wedge
∧
∼
\sim
∼
q =
5
\sqrt 5
5
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