KCET · Maths · Mathematical Reasoning
Which of the following is false?
- A \((\mathrm{N}, \cdot)\) is a group
- B \((\mathrm{N},+)\) is a semi-group
- C \((\mathrm{Z},+)\) is a group
- D Set of even integers is a group under usual addition
Answer & Solution
Correct Answer
(A) \((\mathrm{N}, \cdot)\) is a group
Step-by-step Solution
Detailed explanation
Since, \((\mathrm{N}, \cdot)\) is not a group because the multiplicative inverse is not exist.
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