Question:
Which of the following is not a proposition.
Which of the following is not a proposition.
Updated On: May 14, 2024
- $\sqrt {3} $ is a prime
- $\sqrt {2} $ is a prime
- Mathematics is interesting
- 5 is an even integer
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The Correct Option is C
Solution and Explanation
Mathematics is interesting is not a logical sentence. It may be interesting for some persons and may not be interesting for others.
$\therefore$ this is not a proposition . $\therefore \, (c)$ holds.
$\therefore$ this is not a proposition . $\therefore \, (c)$ holds.
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Concepts Used:
Mathematical Reasoning
Mathematical reasoning or the principle of mathematical reasoning is a part of mathematics where we decide the truth values of the given statements. These reasoning statements are common in most competitive exams like JEE and the questions are extremely easy and fun to solve.
Types of Reasoning in Maths:
Mathematically, reasoning can be of two major types such as:
- Inductive Reasoning - In this, method of mathematical reasoning, the validity of the statement is examined or checked by a certain set of rules, and then it is generalized. The principle of mathematical induction utilizes the concept of inductive reasoning.
- Deductive Reasoning - The principle is the opposite of the principle of induction. Contrary to inductive reasoning, in deductive reasoning, we apply the rules of a general case to a provided statement and make it true for particular statements. The principle of mathematical induction utilizes the concept of deductive reasoning.