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Consider set S = {The set of all rational numbers including zero} and operation
I. addition II. Multiplication III. Division
Under which operation the set will form a group?
  • a)
    Only I and II
  • b)
    Only II
  • c)
    Only I and III
  • d)
    Only I  
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Consider set S = {The set of all rational numbers including zero} and ...
Multiplication will not form a group because inverse of zero does not exist.
Division operation will not form a group because n/0 is not defined.
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Consider set S = {The set of all rational numbers including zero} and operationI. addition II. Multiplication III. DivisionUnder which operation the set will form a group?a)Only I and IIb)Only IIc)Only I and IIId)Only ICorrect answer is option 'D'. Can you explain this answer?
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