Question # 1

Multiplicative inverse of "1" is

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4

3

2

1

F(x) = xx decreases in the interval

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(0,e)

(0.1)

(-∞.0)

None

If the diagonal of a square has coordinates (1,2) and(5,6) the length of a side is

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3

4

1

5

Which is in the solution set of 4x - 3y <2

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(3,0)

(4,1)

(1,3)

None

Period of Sin 2x =

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π

4π

2nπ

2π

The statement that a group can have more than one identity elements is

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True

False

Fallacious

Some times true

The graph of a quadratic function is

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Circle

Ellipse

Parabola

Hexagon

If f(x) : A → B and g (x) : A → B then Dom [f(x) + g(x)] is

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Dom f(x) ∩ Dom g (x)

Dom f(x) ∪ Dom g(x)

[Domf(x)]² - [Dom g(x)]²

[Dom g(x)]²-[Domf(x)]²

If any two rows (or any two columns) of a square matrix are inter changed, the determinant of the resultant matrix is

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True

False

Fallacious

Some times true

The sum of the interior angles for a 16 sided polygon is

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0

ω

1

1 / ω

The set {1, -1, i, -i}, form a group under

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addition

multiplication

subtraction

None

Sin (2π -θ) =______.

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Cosθ

-Sinθ

-cosθ

For which of the following ordered pairs (s,t) is s + t> and s- t < -3?

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(3,2)

(2,3)

(1,8)

(0,3)

If f (x) = x/x²- 4 then which is not included in the domain of f(x)

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0

-2

1

4

∫sec (ax + b) tan(ax + b) dx=_______

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sec(ax + b)/a

sec² (ax + b)/2

sec(ax + b)/x

1/2

How many different arrangements of the letters in the word QABABA are Possible?

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720

40

60

30

d/dx a^x is

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xa^x-1

a^x

x in a

a^x in a

If x < y, 2x = A and 2y = B then

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A =B

A < B

A< X

B < y

If 4 - x > 5, then

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x > 1

x > -1

x < 1

x < -1

The value of x, and y, when (x+iy)²=5+4i

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X=2, y=-1

X=-2, y=1

X=2, y=-i

X=2, y=2

The axis of the parabola y² = 4ax is

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x =0

Y =0

X = y

X = -y

The set of the first elements of the ordered pairs forming a relation is called its

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-x

does not exist

1/x

0

The length of rectangle is twice as much as its breadth. If the perimeter is 120 cm, the length of the rectangle is

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Same as the original determinant

Additive inverse of the original determinant

Both A and B

Adj of the original matrix

∫1/ax +b dx =

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1/a log |ax + b| +c

Log |ax + b| +c

1/b log |ax +b| +c

1/x log |ax + b| +c

The equation of the normal to the circle x² + 2² = 25 at (4,3) is

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3x -4y =0

3x -4y= 5

4x + 3y=5

4x - 3y =25

In the figure angle A is =

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15

60

90

20

The number of ways in which we can courier 5 packets to 10 cities is

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2 x 5^o

5¹⁰

10⁵

2¹⁰

The end points of the major axis of the ellipse are called its

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foci

Vertices

Co-vertices

eccentricity

The multiplicative inverse of -1 in the set {1-,1} is

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40

30

50

20

The vertices of the ellipse x² + 4y² = 16 are

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(±,4,0)

(0,±,4)

(± 2,0)

(0,± 2)

∫cot (ax + b) dx =

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1/a log |sin (ax + b)| +c

1/a log |cos ax + b)

1/b |sin (ax + b)|

1/a log |sin (bx + a)|

0 (zero) is

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A irrational number

A rational number

A negative integer

A positive number

x is a member of the set {-1,0,3,5} y is a member of the set {-2,1,2,4} which is possible?

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x- y =-6

x -y < -6

x -y > 6

None

Which of the following is the equation of a line with slope 0 and passing through the point (4,3)

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X =4

X = -4

Y = 3

Y = -6

Sin^-1 √3/2 =?

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2π/3

π/2

π/3

v/5

The two different parts of the hyperbola are called is

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Vertices

Directrices

Nappes

Branches

A relation in which the equality is true only for some values of the unknown variable is called

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An identity

An equation

A polynomial

Inverse function

Ab > 0 and a > 0 then

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a > b

a < b

a = b

None

Derivative of strictly increasing function is always

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Zero

Positive

Negative

Both A and B

Two dice are rolled The number of possible out come in which at least one die shows 2 is?

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5

12

11

7

If P(E) is the probability that can event will occur then P(E)=

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1

0.5

2

0

Corola available in 5 models 8 colours and 3 sizes how many Corola must a local dealer have no hand in order to have one of each kind avialable?

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24

120

16

39

Sec^-1 x=

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Cos^-1 1/x

Cosec^-1 1/x

Cos-1 (-x)

Tan^-1 x

In the triangle Δ ABC, where C is the right angle Tan A + Tan B=

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A +B

C² /AB

A²/BC

B²/AC

Let A, B, and C be any sets such that A∪B=A∪C and A∩B=A∩C then

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A ≠ C

B = C

A = B

A ≠ B

If Z= (1,2). tjem Z^-1 = ?

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(0.2, 0.4)

(-0.2, 0.4)

(0.2, -0.4)

(-0.2, -0.4)

If Cⁿ_r, Pⁿ_r = 24:1 then r = ?

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1

2

3

4

For any set X, X∪X is

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15

15i

-15i

-15

π/3 is

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A positive integer

A negative integer

A natural number

An irrational number

If f₁ (x) and f₂ (x) are any two anti derivatives of a function F (x) then the value of f₁ (x) = f₂ (x)

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A variable

A constant

Undefined

Infinity

2/(x+1)(x-1) = A/x+1 + B/x-1 corresponds to

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α = b/a and β = ca

α = a/b and β = -c/a

α² + β² = 1

α = -b/a and β= c/a

The value of Cos (1/2 Cos^-1 1/2) is equal to

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√3/2

-3/4

1/16

1/4

The fifth term of the sequence a_n = 3n - 2 is

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3

-3

13

-13

If i,m,n are the direction cosines of a vector O̅P̅ then

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I² + m² + n² =0

I² - m² + n² =1

I² + m² + n² =1

I² + m² - n² =0

What is the domain of y = Cot^-1 x?

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Set of irrational numbers only

Set of all real numbers

Set of integers only

Set of complex numbers only

Sin 720° = ________

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1

0

2

1/2

Given eight points in a plane no three of which are collinear how many lines do the points determine?

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16

64

28

36

The degree of the polynomial 2x⁴ + 3x² + 16x + 28 = x⁴ + 2x² is

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[a_{ij -}b_ji]

[a_{ij -}b_ij]

[a_{ij] - [}b_ij]

Area of ΔABC=

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ab sin α

1/2 ab sin α

1/2 ac Sin γ

1/2 ac Sin β

If you looking a high point from the ground then the angle formed is

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Angle of elevation

Angle of depression

Right angle

Horizon

If a line passes through origin then the equation of the line is

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y = m/x

y = mx

x = my

None

If Sin^-1 x + cos^-1 y = π, then x and y are

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Associative angles

Complementary angles

Reflex angles

Supplementary angles

The multiplicative inverse of x such that x = 0 is

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-x

does not exist

1/x

0

How many elements are in the sample space of two rolling dies

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6

12

18

36

The set of all positive even integers is

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Φ

{1,2,3}

{Φ}

{0}

If A and B are matrices of same order than (A + B)(A + B)=

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addition

multiplication

subtraction

None

ω⁸⁸ = ?

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A and B are multiplicative inverse of each other

A and B are additive inverses of each other

A and B are singular matrices

A and B are equal

Second derivative of y = x⁹ + 10x² + 2x -1 at x = 0 is

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10

20

12

1

Two matrices A and B are conformable for multiplication (AB) if and only if

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Addition

Multiplication

Division

Subtraction

120° degrees are equal to how many radians?

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π/3 radians

2π/3 radians

π/4 radians

π/2 radians