Algebra(Quantitative Aptitude ) Questions and answers for exam Preparation

Quantitative Aptitude

ALGEBRA MCQs

Basic Algebraic Identities Of School Algebra & Elementary Surds

Total Questions : 1010 | Page 22 of 101 pages

Question 211. different partially ordered sets may be represented by the same hasse diagram if they are

same
isomorphic
order-isomorphic
lattices with same order

Discuss Question

Answer: Option C. -> order-isomorphic
Explanation :

Question 212. principle of duality is defined as

all properties are unaltered when ≤ is replaced by ≥ other than 0 and 1 element.
all properties are unaltered when ≤ is replaced by ≥
LUB becomes GLB
≤ is replaced by ≥

Discuss Question

Answer: Option A. -> all properties are unaltered when ≤ is replaced by ≥ other than 0 and 1 element.
Explanation :

Question 213. principle of duality is defined as

all properties are unaltered when ≤ is replaced by ≥ other than 0 and 1 element.
all properties are unaltered when ≤ is replaced by ≥
LUB becomes GLB
≤ is replaced by ≥

Discuss Question

Answer: Option A. -> all properties are unaltered when ≤ is replaced by ≥ other than 0 and 1 element.
Explanation :

Question 214. if lattice (c ,≤) is a complemented chain, then

|C|≤2
|C|≤1
|C| >1
C doesn't exist

Discuss Question

Answer: Option A. -> |C|≤2
Explanation :

Question 215. the less than relation, <, on reals is

not a partial ordering because it is not anti- symmetric and not reflexive.
not a partial ordering because it is not asymmetric and not reflexive
a partial ordering since it is anti-symmetric and reflexive.
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 216. different partially ordered sets may be represented by the same hasse diagram if they are

same
isomorphic
order-isomorphic
lattices with same order

Discuss Question

Answer: Option C. -> order-isomorphic
Explanation :

Question 217. 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.

L is a Poset
L is a lattice
L is a boolean algebra
none of these

Discuss Question

Answer: Option B. -> L is a lattice
Explanation :

Question 218. on solving 2p - 3q - 4r + 6r - 2q + p, answer will be

8q -5r
7p + 5r
3p - 5q + 2r
10p + 3q - 5r

Discuss Question

Answer: Option C. -> 3p - 5q + 2r
Explanation :

Question 219. is the equation 3(2 x−4) =−18 equivalent to 6x−12 =−18?

Yes, the equations are equivalent by the Distributive Property of Multiplication over Addition.
Yes, the equations are equivalent by the Commutative Property of Multiplication
Yes, the equations are equivalent by the Associative Property of Multiplication.
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 220. the absorption law is defined as