Question # 1

The set of real roots of the equation log_{(5x + 4)}(2x +3)³- log_{(2x + 3)}(10x²+ 23x + 12) = 1 is

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{-1}

{-3/5}

Empty set

{-1/3}

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2

4

3

16

f(x) = log x + 3 is a

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trigonometric function

algebraic function

exponential function

logarithmic function

If we have a statement "if p then q" then q is called

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Conclusion

Implication

Unknown

Hypothesis

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trigonometric equation

conditional equation

identity

None

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Which of the vectors have opposite direction?

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The equation |x +4| = x has solution

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x = -2

x = 2

x = -4

x = 4

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(1, 3)

(-1, -3)

(1, -3)

(-1, 3)

Sec 30° = ______

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The equation of a line parallel to the tangent to the circle x²+ y²= 16 at the point (2, 3) and passing thro' the origin is

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2x + 3y = 0

2x - 3y = 0

3x + 2y = 0

3x - 2y = 0

How many signals can be given by 5 flags of different colours, using 3 flags at a time

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120

60

24

15

tan270° =__________;

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0

1

-1

Undefined

Equation of the chord of contact to the tangents drawn from (-3,4) to the circle x2 + y2 = 21

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-3x + 4y =21

4x - 3x = 0

-3x + 4y = 25

None of these

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Reflexive property

Symmetric property

Transitive property

Additive property

The sets {1, 2, 4} and {4, 6, 8, 10} are

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Equal sets

Equivalent sets

Disjoint sets

Over lapping sets

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none of these

Two coins are tossed twice each. The probability that the head appears on the first toss and the same forces appear in the two tosses is

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1/4

1/2

1/3

1/7

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1, 2, 3

1, 5, 9

2, 5, 8

3, 6, 9

In common logarithm the base is

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1

0

10

e

The function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x)

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I & III

I & IV

II & IV

II & III

Let a₁, a₂, a₃, a₄and a₅be such that a₁, a₂, and a₃are in A.P., a₂, a₃and a₄are in G.P and a₃, a₄and a₅are in H.P. Then, a₁, a₃and a₅are in

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G.P.

A.P.

H.P.

None of these

Z is the set of integers (Z.*) is a group with a * b = a +b +1, a,b ∈ G.then inverse of a is

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-a

a +1

-1-a

None of these

For any set B,B∪B' is

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Is set B

Set B'

Universal set

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1

0

5

2

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n if n is even

0 for any natural number n

1 if in odd

None of these

1 + 2 + 3 + ...... + n = ______

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f(x)g(x)- ∫g(x) f′(x) dx is equal to

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∫f(x)g′(x)dx

∫f′(x)g(x)dx

∫f′(x)g(x)′dx

∫f(x)g(x)dx

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x³⁹

40x³⁹

40x⁴¹

none of these

The term independent of x is the expansion (x³+1/x)¹²

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295

495

395

722

A diagonal matrix is always

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Identity

Triangular

Scalar

Non-singular

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