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Quantitative Aptitude

ALGEBRA MCQs

Basic Algebraic Identities Of School Algebra & Elementary Surds

Total Questions : 1010 | Page 6 of 101 pages
Question 51.  the absorption law is defined as
  1.    a * ( a ⊕ b ) = a
  2.    a  * ( a * b ) = b
  3.    a * ( a ⊕ b ) = b
  4.    a * ( a * b ) = a ⊕ b
 Discuss Question
Answer: Option A. -> a * ( a ⊕ b ) = a
Explanation :
Question 52.  a partial order is deined on the set s = {x, a1, a2, a3,...... an, y} as x ≤ a i for all i and ai ≤ y for all i, where n ≥ 1. number of total orders on the set s which contain partial order ≤
  1.    n !
  2.    1
  3.    n
  4.    n + 2
 Discuss Question
Answer: Option A. -> n !
Explanation :
Question 53.  is the equation 3(2 x−4) =−18 equivalent to 6x−12 =−18?
  1.    Yes, the equations are equivalent by the Distributive Property of Multiplication over Addition.  
  2.    Yes, the equations are equivalent by the Commutative Property of Multiplication
  3.    Yes, the equations are equivalent by the Associative Property of Multiplication. 
  4.    No, the equations are not equivalent. 
 Discuss Question
Answer: Option A. -> Yes, the equations are equivalent by the Distributive Property of Multiplication over Addition.  
Explanation :
Question 54.  a partial order is deined on the set s = {x, a1, a2, a3,...... an, y} as x ≤ a i for all i and ai ≤ y for all i, where n ≥ 1. number of total orders on the set s which contain partial order ≤
  1.    n !
  2.    1
  3.    n
  4.    n + 2
 Discuss Question
Answer: Option A. -> n !
Explanation :
Question 55.  on solving 2p - 3q - 4r + 6r - 2q + p, answer will be
  1.    8q -5r
  2.    7p + 5r
  3.    3p - 5q + 2r
  4.    10p + 3q - 5r
 Discuss Question
Answer: Option C. -> 3p - 5q + 2r
Explanation :
Question 56.  let l be a set with a relation r which is transitive, antisymmetric and reflexive and for any two elements a, b ∈ l. let least upper bound lub (a, b) and the greatest lower bound glb (a, b) exist.
  1.    L is a Poset
  2.    L is a lattice
  3.    L is a boolean algebra
  4.    none of these
 Discuss Question
Answer: Option B. -> L is a lattice
Explanation :
Question 57.  is the equation 3(2 x−4) =−18 equivalent to 6x−12 =−18?
  1.    Yes, the equations are equivalent by the Distributive Property of Multiplication over Addition.  
  2.    Yes, the equations are equivalent by the Commutative Property of Multiplication
  3.    Yes, the equations are equivalent by the Associative Property of Multiplication. 
  4.    No, the equations are not equivalent. 
 Discuss Question
Answer: Option A. -> Yes, the equations are equivalent by the Distributive Property of Multiplication over Addition.  
Explanation :
Question 58.  what is the solution set of the inequality 5 − x + 4 ≤−3?
  1.    − ≤2 x ≤6
  2.    − ≤ 12 x ≤ 4
  3.    x ≤−2 or x ≥6
  4.    x ≤−12 or x ≥ 4
 Discuss Question
Answer: Option D. -> x ≤−12 or x ≥ 4
Explanation :
Question 59.  √16 + 3√ 8 =
  1.    2
  2.    4
  3.    6
  4.    8
 Discuss Question
Answer: Option C. -> 6
Explanation :
Question 60.  which number does not have a reciprocal?
  1.    -1
  2.    0
  3.    1
  4.    1/1000 
 Discuss Question
Answer: Option B. -> 0
Explanation :

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