Question

Which of the following are propositions ?
(A) The sum of four angles of quadrilateral is 180°.
(B) A line segment has two end points.
(C) 7𝑥+3=14
(D) 3 X 9=21

• A. (A) and (B) Only
• B. (C) and (D) Only
• C. (C) Only
• D. (A), (B) and (D) Only

Answer 1

The Correct Option is D

We are tasked with determining which statements are propositions. A proposition is defined as a declarative statement that is either true or false but not both. Let us evaluate each statement:

1. (A) The sum of four angles of a quadrilateral is 180°.
   This statement is incorrect, as the sum of angles in a quadrilateral is 360°, not 180°. Despite its falsehood, it is a propositional statement since it declares something that can be determined to be true or false.
2. (B) A line segment has two end points.
   It's a declarative statement that can be verified as true, therefore making it a proposition.
3. (C) 7𝑥+3=14
   This is an equation, not a proposition. It becomes a proposition if 'x' is provided with a specific value, allowing it to be evaluated as true or false.
4. (D) 3 X 9=21
   This is a false statement since 3 X 9 = 27. However, it is still a proposition since it is a statement that can be assessed to be true or false.

Therefore, the propositions among these statements are:

(A), (B), and (D). Consequently, the correct options are: (A), (B) and (D) Only.