Groups Rings and Fields MCQ

Test your knowledge with important Groups Rings and Fields MCQ and their applications. These MCQs are beneficial for competitive exams too. Explore 30+ more Groups Rings and Fields MCQs on Bissoy. Bissoy App

• Does the set of residue classes (mod 3) form a group with respect to modular addition?
  ক

  Yes

  খ

  No

  গ

  Can’t Say

  ঘ

  Insufficient Data
• For the group Sn of all permutations of n distinct symbols, Sn is an abelian group for all values of n.
  ক

  True

  খ

  False
• For the group Sn of all permutations of n distinct symbols, what is the number of elements in Sn?
  ক

  n

  খ

  n-1

  গ

  2n

  ঘ

  n!
• In modular arithmetic : (a/b) = b(a^-1)
  ক

  True

  খ

  = b(a^-1) a) True [ False
• An ‘Integral Domain’ satisfies the properties
  ক

  G-i to G-iii

  খ

  G-i to R-v

  গ

  G-i to R-vi

  ঘ

  G-i to R-iii
• A Ring is said to be commutative if it also satisfies the property
  ক

  R-vi

  খ

  R-v

  গ

  R-vii

  ঘ

  R-iv
• An Abelian Group satisfies the properties
  ক

  G-i to G-v

  খ

  G-i to R-iv

  গ

  G-i to R-v

  ঘ

  R-i to R-v
• GCD(a,b) = GCD(b,a mod b)
  ক

  True

  খ

  = GCD(b,a mod [ a) True [ False