Teaching UGC NET Mock Test Series 2025 (Paper 1 & 2) Mathematics Group theory

Which of the following satisfies commutative and associative properties?

1
(Z, *) defined by a * b = a - b
2
(ℝ, *) defined by a * b = 2 (a + b)
3
(ℝ, *) defined by a * b = 2a + b
4
None of the above
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