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Basic Algebraic Identities Of School Algebra & Elementary Surds

Total Questions : 1010 | Page 18 of 101 pages
Question 171.  the set of all nth roots of unity under multiplication of complex numbers form a/an
  1.    group
  2.    abelian group
  3.    semi group with identity
  4.    commutative semigroups with identity
 Discuss Question
Answer: Option B. -> abelian group
Explanation :
Question 172.  if a, b are positive integers, define a * b = a where ab = a (modulo 7), with this * operation, then inverse of 3 in group g (1, 2, 3, 4, 5, 6) is
  1.    1
  2.    3
  3.    5
  4.    7
 Discuss Question
Answer: Option C. -> 5
Explanation :
Question 173.  which of the following statements is false ?
  1.    The set of rational numbers form an abelian group under multiplication
  2.    The set of rational numbers is an abelian group under addition
  3.    The set of rational integers is an abelian group under addition
  4.    None of these
 Discuss Question
Answer: Option A. -> The set of rational numbers form an abelian group under multiplication
Explanation :
Question 174.  which of the following is true ?
  1.    Set of all matrices forms a group under multipication
  2.    Set of all non-singular matrices forms a group under multiplication
  3.    Set of all rational negative numbers forms a group under multiplication
  4.    None of these
 Discuss Question
Answer: Option B. -> Set of all non-singular matrices forms a group under multiplication
Explanation :
Question 175.  which of the following statements is false ?
  1.    The set of rational numbers form an abelian group under multiplication
  2.    The set of rational numbers is an abelian group under addition
  3.    The set of rational integers is an abelian group under addition
  4.    None of these
 Discuss Question
Answer: Option A. -> The set of rational numbers form an abelian group under multiplication
Explanation :
Question 176.  if a, b are positive integers, define a * b = a where ab = a (modulo 7), with this * operation, then inverse of 3 in group g (1, 2, 3, 4, 5, 6) is
  1.    1
  2.    3
  3.    5
  4.    7
 Discuss Question
Answer: Option C. -> 5
Explanation :
Question 177.  the set of all nth roots of unity under multiplication of complex numbers form a/an
  1.    group
  2.    abelian group
  3.    semi group with identity
  4.    commutative semigroups with identity
 Discuss Question
Answer: Option B. -> abelian group
Explanation :
Question 178.  a self-complemented, distributive lattice is called
  1.    Self dual lattice
  2.    Complete lattice
  3.    Modular lattice
  4.    Boolean algebra
 Discuss Question
Answer: Option D. -> Boolean algebra
Explanation :
Question 179.  let d30 = {1, 2, 3, 4, 5, 6, 10, 15, 30} and relation i be partial ordering on d30. the all lower bounds of 10 and 15 respectively are
  1.    1,5
  2.    1,7
  3.    1,3,5
  4.    None of these
 Discuss Question
Answer: Option A. -> 1,5
Explanation :
Question 180.  let x = {2, 3, 6, 12, 24}, and ≤ be the partial order defined by x ≤ y if x divides y. number of edges in the hasse diagram of (x, ≤ ) is
  1.    1
  2.    3
  3.    4
  4.    7
 Discuss Question
Answer: Option C. -> 4
Explanation :

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