Question
Question: Which of the following is a statement? A. I am Lion B. Logic is an interesting subject C. A tr...
Which of the following is a statement?
A. I am Lion
B. Logic is an interesting subject
C. A triangle is a circle and 10 is a prime number.
D. None of these
Solution
We know that a statement is a close sentence or contains mathematical entities. A statement can be true or false but it can not be ambiguous. Hence, now we will compare all the statements with these properties to get to the final answer.
Complete step by step solution:
We know that a statement is a close sentence or contains mathematical entities. A statement can be true or false but it can not be ambiguous
A closed sentence is a sentence that is either completely true (or completely false) in all conditions.
Now, we will consider all the given sentences one by one and find the statement among them.
Statement 1: I am Lion
We don’t know who the speaker is, if we say this sentence from the perspective of a lion, it becomes true whereas if a human speaks this, it is false, Hence this statement may be true or may be false.
Therefore, It is not a closed sentence.
Hence, it is not a statement.
Statement 2: Logic is an interesting subject
We don’t know how interesting, that is it may vary from person to person, it may be true for some and false for the others.
Therefore, It is not a closed sentence.
Hence, it is not a statement
Statement 3: A triangle is a circle and 10 is a prime number
Since both the mathematical statements are Always False, it does not show any ambiguity.
Therefore, It is a closed sentence.
Hence, it is a statement.
Hence, our final answer is C.
Note:
Sentences that contain mathematical entities and logic are easy to be classified as a statement because we can easily decide if a logical or mathematical sentence is True or False. And hence in questions like these always remember to check those sentences which contain mathematical entities to get the final answer.