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Vijay Singh chauhan Asked a Question
September 21, 2020 3:42 pmpts 30 pts
  • IIT JAM
  • Mathematics (MA)

Q.11 let h and k be subgroups of 144. if the order of h is 24 and the order of k is 36, then the order of the subgroup hokis (a) 3 (b) 4 (c)6 (d) 12

Q.11 Let H and K be subgroups of 144. If the order of H is 24 and the order of K is 36, then the order of the subgroup HOkis (A) 3 (B) 4 (C)6 (D) 12
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  • Baishalini
    GCD(24,36)=12 ,D is correct
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  • Deepak singh
    if any doubt then ask
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  • Deepak singh Best Answer
    see attached result, since here G =Z144 is cyclic group , so by result order of H intersection K = gcd (24,36) = 12 . so , option d is correct
    • cropped6386749056707251780.jpg
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    Vijay Singh chauhan
    how Z144 is a cyclic group?
  • Piyush
    Option D is correct. as GCD (24,36) = 12.
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