Algebra Mock Test for WBSSC SLST MATH (FREE)

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Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9}. How many subsets does A have which contains 4, 5, 6?

(a) 16  (b) 128  (c) 64   (d)  None of these

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Let NXN be the set of order pairs of natural numbers and let a relation R on NXN be defined by (a,b)R(c,d), iff a+d=b+c,  then R is –

(a) Transitive but not symmetric (b) Reflexive but not transitive (c) symmetric but not reflexive  (d)  Equivalence relation

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Intersection of subgroups is –

(a) The subgroup (b) May or may not be a subgroup (c) Never a subgroup (d) None of these

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Let V be the set of all pairs (x,y) of real numbers, and let F be the field of real numbers and

(x,y)+(x₁,y₁)=(x + x₁,0);  c(x,y)=(x,0)

V is not a vector space over the field of real numbers, because

(a) V is not closed under the given operation (b) The identity element does not exist in V  (c) Commutative property over addition does not hold  (d)  V is not closed with respect to scalar multiplication

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