Question

Which of the following is a statement?
a. Open the door
b. Do your homework
c. Switch on the fan
d. Two plus two is four

Answer 1

Hint: Analyze each of the options closely then think to find what is the true meaning and hence find the answer.

Complete step-by-step answer:

In the question some options are given and we have to find which of them is a statement.
At first, we will learn what is a statement.
We know that a statement is a set of words whose value can be obtained whether true or false.
We can elaborate by telling truth value in logic, truth( T or 1) or falsity(F or 0) of a given proposition are statements. Logical connectives such as disjunction and negation can be thought of as truth functions because the truth value of a compound proposition is a function of , or a quantity dependent upon the truth values of its components.
Now let’s take closely and analyze all the given options and find the truth values.
In the ${{1}^{st}}$ option
Open the door, the set of words doesn’t make any true value means just ordering. So option (a) is not correct.
In the ${{2}^{nd}}$ option
Do your homework, the set of words order to do homework and not give any true value. So, option (b) is not correct.
In the ${{3}^{rd}}$ option
Switch on the fan, the set of words again expressing a kind of order instead of giving any true value to be considered as a statement. So, option (c) is not the correct answer.
Now, in the final or ${{4}^{th}}$ option
Two plus two is four, here the set of words again expresses the fact that when two is added with two then the result comes is 4, so option (d) is the correct answer.
The correct answer is ‘d’.

Note: Students should know how to choose what are statements and how it is related with true value and how to know them.