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ALGEBRA MCQs

Basic Algebraic Identities Of School Algebra & Elementary Surds

Total Questions : 1010 | Page 23 of 101 pages
Question 221.  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 222.  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 223.  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 224.  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 225.  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 226.  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 227.  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 228.  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 229.  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 230.  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 :

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