Question # 1

Ab > 0 and a > 0 then

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a > b

a < b

a = b

None

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

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3

-3

13

-13

A standard deck of 52 cards shuffled what is the probability of choosing the queen of the diamonds

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1/5

1/13

5/52

1/52

The axis of the parabola y² = 4ax is

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x =0

Y =0

X = y

X = -y

Any point where f is neither increasing nor decreasing and f(x) =0 at that point is called a

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Minimum

Maximum

Stationary point

Constant

The equation of the circle with center origin and radius 2√2 is

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x² + y² = 2√2

x² + y² = 8

x² - y² = 2√2

x² - y² = 8

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

Sin-1 [-1/2] = ______.

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∏/3

-∏/6

-∏/3

∏/6

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

If k₁ : k₂ = 1:1 then the point P dividing the line is

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Mid point

Extreme left point

Extreme Right point

Plies out side k₁ and k₂

The graph of a quadratic function is

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Circle

Ellipse

Parabola

Hexagon

The value of the polynomial 3x³ + 4x² - 5x + 4 at x = -1 is

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A² + B²

A² + B²+ 2AB

A + B

A² + B² + AB+BA

x-1/(x+2)(x-2) =

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4/3(x-4) -1/3(x-1)

3/4(x+2) + 1/4(x-2)

2/3(x-2) - 4/3(x+2)

3/x - 2/x+1

If A and B are two events then P(A∪B) =? (when A and B are disjoint)

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P(A) - P(B)

P(A) x P(B)

P(A) + P(B)

P(A) + P(B) -P(A∩B)

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

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(3,0)

(4,1)

(1,3)

None

d/dx a^x is

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xa^x-1

a^x

x in a

a^x in a

If 2 Sin x Cos 2 x = Sin x then?

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X = nπ+ π/6

X = nπ +π/3

X = nπ +1

X = nπ + π/2

If y = sin(ax + b) then fourth derivative of y with respect to x=

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a⁴ cos (ax + b)

a⁴ sin (ax + b)

-a⁴ sin(ax +b)

a4 tan (ax + b)

∫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

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

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

If 0 is not an integral multiple of π/2 then Cot⁴ θ+ Cot² θ=?

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Cosec⁴ θ -Cosec²θ

Tan θ - Tan² θ

Cosec² θ + Cosec θ

Sinθ Cosθ

If the sum of the roots of (a + 1)x² + (2a + 3)x + (3a + 4) = 0 is -1, then product of the roots is

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Commutative law w.r.t multiplication

Associative law w.r.t addition

Distributive law w.r.t addition

Multiplication of a scalar with the matrix

The line joining (1,3) to (a,b) has unit gradient then

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a-b =-2

a+b = 0

A-b =5

2a + 3b =1

In the function v = 4/3 π r³, V is a function of

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3/4

r

v

π

If sin θ= 3/5 Cos θ=

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1/2

3/5

4/5

1

The set of complex numbers forms a group under the binary operation of

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0

±1

1

{0,1}

The number of real roots in cube roots of 8 is ?

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n x m

m x n

km x n

m x kn

AreCot √3 =?

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π/2

π

2π

π/6

The two different parts of the hyperbola are called is

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Vertices

Directrices

Nappes

Branches

Which of the following is the subset of all sets ?

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A ≠ C

B = C

A = B

A ≠ B

If a and b are any two distinct negative real numbers and G-ab where A.G.H represent arithmetic geometric and harmonic means then

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1

ω²

ω

0

A point of a solution region where two of its boundary lines intersect is called

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Boundary

Inequality

Half plane

Vertex

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

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Addition

Multiplication

Division

Subtraction

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

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720

40

60

30

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

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

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addition

multiplication

subtraction

None

The sum of the ages of Nazish and his son is 56 years. Eight years ago. Nazish was 3 time as old as his son. How old is the son now?

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m = n

m ≠ n

mn = 1

mn = 0

Cos^-1 (-x) =_______.

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π +cos^-1 x

π -sin^-1 x

π +sin^-1 x

π -cos^-1 x

Tan (π + Tan^-1 x) =?

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Tan x

X

-x

Cot^-1 x

The multiplicative inverse of x such that x = 0 is

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-x

does not exist

1/x

0

The gradient of the line joining (1,4) and (-2,5) is

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3/8

-2 2/3

-1/3

2

Which of the following is not defined?

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Arcsin 1/9

ArcCos (-4/3)

Arctan 11/12

Arccot (-4)

If a rectangle has an area 81x² and length of 27x. then what is its width?

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3x

9x

3x²

9x²

Cse π/3

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2

1

0

2/√3

The range of inequality x + 2 > 4 is

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(-1,2)

(-2,2)

(1,∞)

None

The line through the center and perpendicular to the transverse axis is called the

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Major axis

Minor axis

Focal axis

Conjugate axis

Sin 720° = ________

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1

0

2

1/2

If the 9^th tern of A.P is 8 and the 4^th term is 20. then the first term is

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1

2

-2

-1

If y = (ax)^m + b^m, then dy/dx equals

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m (ax)^m x^m-1

ma^m x^m-1

m a^m x^m-1

m a^m x^m-2

The difference of two consecutive terms of an A.P is called

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Zero

One

Four

Infinite

Sin^-1 √3/2 =?

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2π/3

π/2

π/3

v/5

The circle (x -2)² + (y + 3)² =4 is not concentric with the circle

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(x -2)² + (y + 3)² =9

(x +2)² + (y - 3)² =4

(x -2)² + (y + 3)² =8

(x -2)² + (y + 3)² =5

If Z₁ = 1+i, Z₂ = 2+3i, then |Z₂-Z₁|=?

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√3 I

√7

-2-1

√5

Derivative of strictly increasing function is always

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Zero

Positive

Negative

Both A and B

6 is

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A prime integer

An irrational number

A rational number

A odd integer

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

If p and r are integers P = 0, and p ≠ -r, which of the following must be true?

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p < r

p > r

p + r < 0

p - r < -0

d/dx (3y⁴) =

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12y³ dy/dx

8y³

8y³ dy/dx

12y³

The number of diagonals of a six sided figure are

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9

6

12

3

1/x² -1 = ? (in case of making partial fraction)

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Ax +B/x² -1

A/x + B/ x- 1

A/ x+1 + B/x-1

None

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

The set (Q, .)

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Infinite set

Singleton set

Two points set

None

d/dx [cos x²] =________

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-2x cos x²

-2x² sin x²

x² sin x

-2x² sin x²

Domain of Y = csc x is

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R - nπ, n ε I

R

R -nπ/2,nεI

All negative Integers

∫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

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

Which is not a half plane

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ax + by < c

ax + by > c

Both A and B

None

An angle 0 is such that tan θ = 1 and cos θ is negative then

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Sin θ is positive

Cos θ = √2/4

cosθ = -1

sec θ is negative

The angle a (0° < a< 180°) measured counterclockwise from positive x-axis to a non-horizontal straight line / is called the

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Rotation

Inclination

Radian

None

In which quadrant is the solution of the equation sin x - 1 = 0

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II quadrants

II and III quadrants

III and Iv quadrants

I quadrant