KCET · Maths · Mathematical Reasoning
Which of the following is not a group with respect to the given operation?
- A The set of even integers under addition
- B The set, of odd integers under addition
- C \(\{0\}\) under addition
- D \(\{1,-1\}\) under multiplication
Answer & Solution
Correct Answer
(B) The set, of odd integers under addition
Step-by-step Solution
Detailed explanation
The set of odd integers under addition is not a group. Since, under addition 0 is identity element which is not an odd number.
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