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Quantitative Aptitude

ALGEBRA MCQs

Basic Algebraic Identities Of School Algebra & Elementary Surds

Total Questions : 1010 | Page 9 of 101 pages
Question 81.  the inverse of - i in the multiplicative group, {1, - 1, i , - i} is
  1.    -1
  2.    1
  3.    -i
  4.    i
 Discuss Question
Answer: Option D. -> i
Explanation :
Question 82.  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 83.  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 84.  the inverse of - i in the multiplicative group, {1, - 1, i , - i} is
  1.    -1
  2.    1
  3.    -i
  4.    i
 Discuss Question
Answer: Option D. -> i
Explanation :
Question 85.  expand and simplfy (x - y)(x + y)
  1.    x² - y²
  2.    x² + y²
  3.    x²- 2xy + y²
  4.    x² + 2xy + y²
 Discuss Question
Answer: Option A. -> x² - y²
Explanation :
Question 86.  simplify 5⁄2 ÷ 1⁄x
  1.    2x ⁄ 5
  2.    5x ⁄ 2
  3.    5 ⁄ 2x
  4.    2 ⁄ 5x
 Discuss Question
Answer: Option B. -> 5x ⁄ 2
Explanation :
Question 87.  expand and simplfy (x - 5)(x + 4)
  1.    x² - x - 1
  2.    x² - x - 9
  3.    x² - x - 20
  4.    x² + 9x - 20
 Discuss Question
Answer: Option C. -> x² - x - 20
Explanation :
Question 88.  simplify a(c - b) - b(a - c)
  1.    ac + bc
  2.    ac - 2ab - bc
  3.    ac - 2ab + bc
  4.    ac + 2ab + bc
 Discuss Question
Answer: Option C. -> ac - 2ab + bc
Explanation :
Question 89.  simplify 15ax² ⁄ 5x
  1.    3ax
  2.    3ax²
  3.    5ax
  4.    5ax²
 Discuss Question
Answer: Option A. -> 3ax
Explanation :
Question 90.  simplify 5⁄2 ÷ 1⁄x
  1.    2x ⁄ 5
  2.    5x ⁄ 2
  3.    5 ⁄ 2x
  4.    2 ⁄ 5x
 Discuss Question
Answer: Option B. -> 5x ⁄ 2
Explanation :

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