Question
Easy
Consider the following statements : A = If n is even, then n$^2$ is even. B = If n$^2$ is not even, n is not even. C = If n$^2$ is even, then n is even. D = If n is not even, then n$^2$ is not even. Which of the following statements is true ?
1
C is converse of A.
2
D is converse of A.
3
B is inverse of A.
4
D is contraposition of A.
Question Details
Time to Solve: 12
Exam: CTET
Level/Paper: CTET_P2
Chapter: Pedagogy of Mathematics
Topic: Approaches & Evaluation in Mathematics Teaching
Correct Answer
Option A
Explanation
To determine why Option 1 is the correct answer, let's analyze each statement and its logical relationships: 1. Statement A: "If n is even, then n$^2$ is even." - This is a straightforward statement about even numbers. If n is even, then n can be expressed as 2k for some integer k, and thus n$^2$ = (2k)$^2$ = 4k$^2$, which is also even. 2. Statement C: "If n$^2$ is even,…Read More
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