Sail E0 Webinar

Quantitative Aptitude

ALGEBRA MCQs

Basic Algebraic Identities Of School Algebra & Elementary Surds

Total Questions : 1010 | Page 5 of 101 pages
Question 41.  let d30 = {1, 2, 3, 5, 6, 10, 15, 30} and relation i be a partial ordering on d30. the lub of 10 and 15 respectively is
  1.    1
  2.    5
  3.    15
  4.    30
 Discuss Question
Answer: Option D. -> 30
Explanation :
Question 42.  hasse diagrams are drawn for
  1.    lattices
  2.    boolean Algebra
  3.    partially ordered sets
  4.    none of these
 Discuss Question
Answer: Option D. -> none of these
Explanation :
Question 43.  let x = {2, 3, 6, 12, 24}, and ≤ be the partial order defined by x ≤ y if x divides y. number of edges in the hasse diagram of (x, ≤ ) is
  1.    1
  2.    3
  3.    4
  4.    7
 Discuss Question
Answer: Option C. -> 4
Explanation :
Question 44.  let d30 = {1, 2, 3, 5, 6, 10, 15, 30} and relation i be a partial ordering on d30. the lub of 10 and 15 respectively is
  1.    1
  2.    5
  3.    15
  4.    30
 Discuss Question
Answer: Option D. -> 30
Explanation :
Question 45.  let x = {2, 3, 6, 12, 24}, and ≤ be the partial order defined by x ≤ y if x divides y. number of edges in the hasse diagram of (x, ≤ ) is
  1.    1
  2.    3
  3.    4
  4.    7
 Discuss Question
Answer: Option C. -> 4
Explanation :
Question 46.  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 47.  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 48.  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 49.  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 50.  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 :

Latest Videos
Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)
Direction Sense Test Part 1 Reasoning (Hindi)
Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE
Cube & Cuboid Part 1 Reasoning (Hindi)
Data Interpretation (DI) Basic Concept Reasoning (Hindi)
Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)
Sail E0 free webinar Webinars
Real Numbers Part 7 Class 10 Maths
Real Numbers Part 1 Class 10 Maths
Polynomials Part 1 Class 10 Maths

Latest Test Papers

Pie Chart - Test Paper 1 Data Interpretation Reasoning & DI
Tabulation - Test Paper 2 Data Interpretation Reasoning & DI
Test Paper 1 Direction Sense Test Reasoning & DI
ICA , RDIC,GFM Free Modal Test Paper - Non - Technical Branch Old Syllabus 2022 - SAIL Junior Officer E0
GFM Combined 1 Free Revision Test SAIL JO E-0