A) {1, 2, 4, 8} under multiplication
B) \[\{0,\pm \,2,\pm \,4,\pm \,6\text{ }...\}\] under addition
C) \[\{1,-1\}\] under addition
D) {0,1,2,3, 4} under multiplication module 5
Correct Answer: B
Solution :
\[(0,\,\,\pm 2,\,\pm \,\,4,\,\,\pm \,\,6,...\}\] is a group under addition as all the postulate i.e. closure property associativity existence of identity and existence of inverse is satisfied.
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