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Basic Algebraic Identities Of School Algebra & Elementary Surds

Total Questions : 1010 | Page 21 of 101 pages
Question 201.  the less than relation, <, on reals is
  1.    not a partial ordering because it is not anti- symmetric and not reflexive.
  2.    not a partial ordering because it is not asymmetric and not reflexive
  3.    a partial ordering since it is anti-symmetric and reflexive.
  4.    a partial ordering since it is asymmetric and reflexive.
 Discuss Question
Answer: Option A. -> not a partial ordering because it is not anti- symmetric and not reflexive.
Explanation :
Question 202.  different partially ordered sets may be represented by the same hasse diagram if they are
  1.    same
  2.    isomorphic
  3.    order-isomorphic
  4.    lattices with same order
 Discuss Question
Answer: Option C. -> order-isomorphic
Explanation :
Question 203.  if lattice (c ,≤) is a complemented chain, then
  1.    |C|≤2
  2.    |C|≤1
  3.    |C| >1
  4.    C doesn't exist
 Discuss Question
Answer: Option A. -> |C|≤2
Explanation :
Question 204.  principle of duality is defined as
  1.    all properties are unaltered when  ≤ is replaced by ≥ other than 0 and 1 element.
  2.    all properties are unaltered when  ≤ is replaced by ≥
  3.    LUB becomes GLB
  4.    ≤ is replaced by ≥
 Discuss Question
Answer: Option A. -> all properties are unaltered when  ≤ is replaced by ≥ other than 0 and 1 element.
Explanation :
Question 205.  different partially ordered sets may be represented by the same hasse diagram if they are
  1.    same
  2.    isomorphic
  3.    order-isomorphic
  4.    lattices with same order
 Discuss Question
Answer: Option C. -> order-isomorphic
Explanation :
Question 206.  a self-complemented, distributive lattice is called
  1.    Self dual lattice
  2.    Modular lattice
  3.    Complete lattice
  4.    Boolean algebra
 Discuss Question
Answer: Option D. -> Boolean algebra
Explanation :
Question 207.  the less than relation, <, on reals is
  1.    not a partial ordering because it is not anti- symmetric and not reflexive.
  2.    not a partial ordering because it is not asymmetric and not reflexive
  3.    a partial ordering since it is anti-symmetric and reflexive.
  4.    a partial ordering since it is asymmetric and reflexive.
 Discuss Question
Answer: Option A. -> not a partial ordering because it is not anti- symmetric and not reflexive.
Explanation :
Question 208.  if lattice (c ,≤) is a complemented chain, then
  1.    |C|≤2
  2.    |C|≤1
  3.    |C| >1
  4.    C doesn't exist
 Discuss Question
Answer: Option A. -> |C|≤2
Explanation :
Question 209.  a self-complemented, distributive lattice is called
  1.    Self dual lattice
  2.    Modular lattice
  3.    Complete lattice
  4.    Boolean algebra
 Discuss Question
Answer: Option D. -> Boolean algebra
Explanation :
Question 210.  if lattice (c ,≤) is a complemented chain, then
  1.    |C|≤2
  2.    |C|≤1
  3.    |C| >1
  4.    C doesn't exist
 Discuss Question
Answer: Option A. -> |C|≤2
Explanation :

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