Question # 1

Empty set is

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Not the member of real numbers

Infinite set

Finite set

Not subset of every set

The number of arbitrary constants in the general solution of a differential equation is equal to the different equation

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Order

Degree

Variables

All are correct

If x - 1 is a factor of x4 - 5x2 + 4 then other factor is

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(x + 2)2(x - 1)

(x + 2)(x - 1)2

(x+2)(x2- x- 2)

(x + 2)2(x - 1)2

If b₁, b₂, b₃, ... are in G.P. with first term unity and common ratio r, then the minimum value of b₁- b₃+ b₅is equal to

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3/4

1/4

1

None of these

3x + 4 < 0 is

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not inequality

equation

identity

inequality

In common logarithm the base is

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1

0

10

e

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Orthogonal

Involutary

Idempotent

Nilpotent

If a polynomial p(x) is divided by x-c, then the remainder is

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p(x)

x-c

c

P(c)

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-1

0

1

None of these

Two unbiased dice are thrown. The probability that the total score is > 5 is

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1 / 18

7 / 18

13 / 18

11 / 18

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If the st. line 3x + 4y = K touches the circle x²+ y²- 10x = 0 then the value of K is

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-1 or 20

-10 or 40

-2 or 20

2 or 20

QUQ, =

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N

R

W

Z

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How many numbers are there between 103 and 750 which are divisible by 6

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125

107

108

113

3x + 4 > 0 is

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equation

identity

inequality

none of these

The probability to get an odd number in a dice thrown once is

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6

1

1/6

1/2

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cos(a +β)-cos(a-β) = _______;

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2cosa cosβ

2sina cosβ

-25 in a cosβ

-2sin a sinβ

In-radius is denoted by

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r

η

r2

R

If n is not natural number, then the expansion (1 + x)ⁿis valid for

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An airplane flying at height of 300 meters above the ground passes vertically above another plane at an instant when the angle of elevation of the two planes from the same point on the ground are 60° and 45° respectively. Then the height of the lower plane from the ground is (in meters).