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Basic Algebraic Identities Of School Algebra & Elementary Surds

Total Questions : 1010 | Page 24 of 101 pages
Question 231.  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 232.  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 233.  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 234.  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 235.  which number does not have a reciprocal?
  1.    -1
  2.    0
  3.    1
  4.    1/1000 
 Discuss Question
Answer: Option B. -> 0
Explanation :
Question 236.  √16 + 3√ 8 =
  1.    2
  2.    4
  3.    6
  4.    8
 Discuss Question
Answer: Option C. -> 6
Explanation :
Question 237.  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 238.  what is the solution for this equation? 2x −3 = 5
  1.    x =−1 or x = 4 
  2.    x =−1 or x = 3 
  3.    x =−4 or x = 4 
  4.    x =−4 or x = 3 
 Discuss Question
Answer: Option A. -> x =−1 or x = 4 
Explanation :
Question 239.  what is the multiplicative inverse of 1/2 ?
  1.    -2
  2.    2
  3.    -1/2
  4.    1/2
 Discuss Question
Answer: Option B. -> 2
Explanation :
Question 240.  what is the multiplicative inverse of 1/2 ?
  1.    -2
  2.    2
  3.    -1/2
  4.    1/2
 Discuss Question
Answer: Option B. -> 2
Explanation :

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