Question

The disjunction of the statements, "Hyderabad is in India", "$2+2=4$" is

• A. Hyderabad is in India and $2+2=4.$
• B. Hyderabad is in India or $2+2=4.$
• C. Hyderabad is in India but not $2+2=4.$
• D. Hyderabad is not in India or $2+2=4.$

Answer 1

The correct option is B Hyderabad is in India or $2+2=4.$

The disjunction of the two statements $p,q$ is given by $p\vee q$ and they are connected by logical connective $OR.$
$\therefore$ The disjunction of the statements,
$p:$ Hyderabad is in India, $q:2+2=4,$
is "Hyderabad is in India or $2+2=4.$"