Question

Find the conjunction of the statement: "Freezing point of water is \[{{0}^{\circ }}\]","Boiling point is \[{{100}^{\circ }}\]”.
(a) Freezing point of water is \[{{0}^{\circ }}\] or boiling point is \[{{100}^{\circ }}\].
(b) Freezing point of water is \[{{0}^{\circ }}\] and boiling point is \[{{100}^{\circ }}\].
(c) Freezing point of water is \[{{0}^{\circ }}\] else boiling point is \[{{100}^{\circ }}\].
(b) Freezing point of water is \[{{0}^{\circ }}\] only if boiling point is \[{{100}^{\circ }}\].

Answer 1

Hint: We start solving the problem by recalling the process of connecting two statements by means of conjunction i.e., the two or more simple sentences have to be connected with a connective ‘and’. We then apply this definition of conjunction for the two given simple statements of the problem. We then compare the answer obtained after applying conjunction to the statements with the options given in the problem.

Complete step by step answer:
According to the problem, we need to write the conjunction of the statement: "Freezing point of water is \[{{0}^{\circ }}\]","Boiling point is \[{{100}^{\circ }}\]”.
Let us recall the definition of conjunction of statements before writing for the given statements.
CONJUNCTION: A compound sentence formed by two simple sentences p and q using the connective 'and' is called the conjunction of p and q.
According to the problem, we have given the simple statements as "Freezing point of water is \[{{0}^{\circ }}\]","Boiling point is \[{{100}^{\circ }}\]".
In order to get the conjunction statement of these two statements we need to connect them using the connective 'and'.
Now, on joining the given two statements using the connective 'and' we get,
Freezing point of water is \[{{0}^{\circ }}\] and the boiling point is \[{{100}^{\circ }}\].

So, the correct answer is “Option B”.

Note: If we are asked to consider disjunction instead of conjunction in this question, then we need to connect the two simple sentences with the connective 'or' which completely changes the statement. Similarly, we replace ‘and’ with ‘if and then’ for conditional statement, also for biconditional statement ‘and’ is replaced with ‘if and only if (iff)’.