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Quantitative Aptitude

ALGEBRA MCQs

Basic Algebraic Identities Of School Algebra & Elementary Surds

Total Questions : 1010 | Page 1 of 101 pages
Question 1.  (z,*) is a group with a*b = a+b+1 ∀ a, b ∈z. the inverse of a is
  1.    0
  2.    -2
  3.    a-2
  4.    -a-2
 Discuss Question
Answer: Option D. -> -a-2
Explanation :
Question 2.  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 3.  √16 + 3√ 8 =
  1.    2
  2.    4
  3.    6
  4.    8
 Discuss Question
Answer: Option C. -> 6
Explanation :
Question 4.  if (g, .) is a group such that a2 = e, ∀a ∈ g, then g is
  1.    abelian group
  2.    non-abelian group
  3.    semi group
  4.    none of these
 Discuss Question
Answer: Option A. -> abelian group
Explanation :
Question 5.  the set of all real numbers under the usual multiplication operation is not a group since
  1.    zero has no inverse
  2.    identity element does not exist
  3.    multiplication is not associative
  4.    multiplication is not a binary operation
 Discuss Question
Answer: Option A. -> zero has no inverse
Explanation :
Question 6.  if (g, .) is a group such that a2 = e, ∀a ∈ g, then g is
  1.    abelian group
  2.    non-abelian group
  3.    semi group
  4.    none of these
 Discuss Question
Answer: Option A. -> abelian group
Explanation :
Question 7.  the set of all real numbers under the usual multiplication operation is not a group since
  1.    zero has no inverse
  2.    identity element does not exist
  3.    multiplication is not associative
  4.    multiplication is not a binary operation
 Discuss Question
Answer: Option A. -> zero has no inverse
Explanation :
Question 8.  if (g, .) is a group such that (ab)- 1 = a-1b-1, ∀ a, b ∈ g, then g is a/an
  1.    commutative semi group
  2.    non-abelian group
  3.    abelian group
  4.    None of these
 Discuss Question
Answer: Option C. -> abelian group
Explanation :
Question 9.  if (g, .) is a group such that (ab)- 1 = a-1b-1, ∀ a, b ∈ g, then g is a/an
  1.    commutative semi group
  2.    non-abelian group
  3.    abelian group
  4.    None of these
 Discuss Question
Answer: Option C. -> abelian group
Explanation :
Question 10.  simplify 15ax² ⁄ 5x
  1.    3ax
  2.    3ax²
  3.    5ax
  4.    5ax²
 Discuss Question
Answer: Option A. -> 3ax
Explanation :

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