Conjunction is the compound statement formed by joining two propositions with โandโ. It is defined to be true only when each of its component propositions is true. This truth-functional behaviour is central to classical propositional logic. Therefore the connective described in the stem is correctly called conjunction.
Option A:
Option A, disjunction, is formed using โorโ and is usually true when at least one of its components is true. It does not require both components to be true simultaneously. Hence disjunction does not match the condition specified in the question.
Option B:
Option B correctly identifies conjunction as the connective that yields truth only when both conjuncts are true. This exclusive requirement distinguishes it from other connectives. Thus conjunction is the most appropriate answer here.
Option C:
Option C, implication, represents a conditional of the form โif p, then qโ. Its truth conditions do not restrict both parts to be true. Therefore implication is not the connective being described.
Option D:
Option D, negation, simply reverses the truth value of a single proposition. It does not join two propositions and so fails to fit the description given in the stem.
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