Question # 1

A groupoid (S) is called __________ if it is associative in S:

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group

abelian-group

semi-group

associative-group

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A

B

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If a set is described by listing its elements within brackets is called:

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set builder notation

tabular form

descriptive method

none of these

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{1, 2, 3}

{5, 6, 7}

{4}

Distinct objects means:

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identical objects

not identical

similar

none of these

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If two sets have no element common, they are called:

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disjoint

over lapping

dissimilar

exhaustive

A set is defined as:

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collection of some objects

well defined collection of some objects

well defined collection of distinct objects

none of these

The ordered pairs (4, 5) and (5, 4) are:

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same

different

both a and b

N

To draw general conclusions from a limited number of observations is called:

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logic

proposition

induction

deduction

The objects in a set are called:

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elements

sub-sets

whole numbers

overlapping sets

If (x - 2, 2) = (3, 2), then:

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x = 5

x = 2

x = -5

x = 3

If sets A and B are equal then:

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p is false and q is true

both p and q are false

p is true and q is false

both p and q are true

Inverse of an element in a group is:

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infinite

finite

unique

not possible

If W = {0, 1, 2, 3, 4, ........}, N = {1, 2, 3, 4 ...........} then N - W = ?

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W

{0}

none of these

A statement which is true for all possible values of the variables involved in it, is called a:

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tautology

conditional

implication

absurdity

{2, 4, 6, 8, ...........} represents the set of:

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positive odd numbers

natural numbers

prime numbers

positive even numbers

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