Question # 1

Truth table containing all the values true is called:

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absurdity

conjunction

tautology

none

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

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group

abelian-group

semi-group

associative-group

If a_n = (n + 1) a_n-1, a₁ = 1, second term of the sequence is:

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3

1

2

4

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scalar matrix

diagonalmatrix

triangularmatrix

none of these

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If ⁿP₂ = 30 then n = :

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5

6

2

3

tan^-1 (-x) =

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tan^-1x

cot^-1x

-tan^-1x

-cot^-1x

A compound statement of the form "if p then q" is called an:

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tautology

conditional

consequent

absurdity

The period of 2 + cos 3x is:

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In 2s = a + b + , then in any triangle ABC:

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all of above

2 cos α sin ß =

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cos (α + ß) + cos (α - ß)

sin (α + ß) + sin (α - ß)

sin (α + ß) - sin (α - ß)

cos (α + ß) + cos (α - ß)

A key ring is an example of:

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permutation

circulation permutation

combination

none

Which of the following is correct:

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2 + 7i > 10 + i

1 + i > 1 - i

4 + 3i > 1 + 3i

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

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ab - cd = 0

ac - bd = 0

ad - bc = 1

ad - bc = 0

The series 3 + 33 + 333 + ...... is:

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A.P

G.P

H.P

none of these

Which one is a quadrant angle ?

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60°

180°

120°

30°

If A is a square matrix order 3 × 3 the |kA| equals:

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k |A|

k²|A|

k³ |A|

k⁴ |A|

If two rows (or two columns) in a square matrix are identical (i.e. corresponding elements are equal), the value of the determinant is:

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0

1

-1

±1

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