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ALGEBRA MCQs

Basic Algebraic Identities Of School Algebra & Elementary Surds

Total Questions : 1010 | Page 17 of 101 pages
Question 161.  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 162.  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 163.  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 164.  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 165.  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 166.  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 167.  in the group g = {2, 4, 6, 8) under multiplication modulo 10, the identity element is
  1.    2
  2.    4
  3.    6
  4.    8
 Discuss Question
Answer: Option D. -> 8
Explanation :
Question 168.  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 169.  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 170.  in the group g = {2, 4, 6, 8) under multiplication modulo 10, the identity element is
  1.    2
  2.    4
  3.    6
  4.    8
 Discuss Question
Answer: Option D. -> 8
Explanation :

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