Question # 1

A die is thrown what is the probability that there is a prime number on the top?

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1/2

1/3

1/6

2/3

d/dx (3y⁴) =

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12y³ dy/dx

8y³

8y³ dy/dx

12y³

Which is not included in the domain of Cos^-1 x

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0

1

-1

2

x² +2x -25 = 0 is

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1

2

3

4

Sin^-1 √3/2 =?

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2π/3

π/2

π/3

v/5

Sin^-1 (-x) =?

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Sin^-1 x

-Sin^-1 x

Cos^-1 x

-Cos^-1 x

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

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√3 I

√7

-2-1

√5

If θ= 60° then

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sin θ = 1/2

tan θ = cot 30°

θ = π/4

Sec θ =4

The general solution of the differential equation dy/dx = log x is

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Y = -x log x- x +c

Y = x log x + x²

Y = x log x -x +c

Y= 2x log x + 2x +c

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 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

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

0 (zero) is

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A irrational number

A rational number

A negative integer

A positive number

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

Tan^-1 1/x =______

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Sin x

Sec^-1 X

Cot^-1 X

Sin Ix/cos- Ix

The average of first 100 integers is=

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50 1/2

25 1/4

100

5050

Derivative of strictly increasing function is always

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Zero

Positive

Negative

Both A and B

If 1 + Cos x = 0 then x =

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π +2n π

π + nπ

π - nπ

π/2

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

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

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0

±1

1

{0,1}

Which of the following is the subset of all sets ?

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A ≠ C

B = C

A = B

A ≠ B

1+2+3+......+n=?

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n(n +1)/2

n +1/2

n(n +1)(2n +1)/6

n³

Period is Tan x/5 is

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5π

4π

2π

π/5

If in isosceles right angled triangle one side is a then hypotenuse is

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a√2

a/2

a

Cannot be determined by given

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

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(3,0)

(4,1)

(1,3)

None

If Cosα = 3/5, Cosβ = 5/13, then

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Cos(α +β) =33/65

Sin(α +β) =56/65

sin²(α +β/2) =1/65

Cos(α +β) =63/65

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

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

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720

40

60

30

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

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Boundary

Inequality

Half plane

Vertex

8 > t then

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(s -t) ²>(t -8)²

(s -t) ²<(t -8)²

(s -t) ²=(t -8)²

None

The curves y =x², y= x interest at

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(0,0) ,(1,1)

(2,4)

(0,),(2,4)

(0,3),(-1,1)

One of the roots of the equation 2x² + 3x + n = 0 is the reciprocal of the other, then n = --------------------

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Both A,B have the same number of columns

Both A,B do not have the same order

Number of col A is same as number of rows of B

Number of rows of A is same as number of col of B

If the order of A is n x m. Then order of kA is

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Forms a group

Does not form a group

Contains no additive identity

Contains no additive inverse

The total cost of 2 apples and 3 oranges is $1.70,which of the following is true

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The cost of one apple

The cost of one orange

Both have equal cost per item

Cost of each single item can not be determined

Domain of Y = csc x is

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R - nπ, n ε I

R

R -nπ/2,nεI

All negative Integers

If sin θ= 3/5 Cos θ=

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1/2

3/5

4/5

1

If Sin θ =Cosθ then θ=

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30°

45°

60°

90°

Domain of Cosecθ is

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is R but θ= nπ

is R but θ ≠ nπ

is R but θ ≠ 2nπ

is R but θ ≠ nπ/2

The axis of the parabola y² = 4ax is

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x =0

Y =0

X = y

X = -y

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

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A =B

A < B

A< X

B < y

Find the geometric mean between 4 and 16

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7, 8

14, 4

28, 2

56, 1

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

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∏/3

-∏/6

-∏/3

∏/6

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)

Sin-1 (√2/2)=?

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π/2

π/3

3π/4

2π

If a cone is cut by a plane perpendicular to the axis of the cone then the section is a

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Parabola

Circle

Hyperbola

Ellipse

Graph of the equation X² + y² = 4 is

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a circle

an ellipse

a parabola

A square

Sin (2π -θ) =______.

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Cosθ

-Sinθ

-cosθ

d/dx a^x is

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xa^x-1

a^x

x in a

a^x in a

Sin 720° = ________

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1

0

2

1/2

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)

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

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-1 ≤ x ≤1

1 ≤ x ≤ 1

0 ≤ x ≤ π

-π/2 ≤ x ≤ π/2

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

An angle of one radian is equivalent to

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90^o

60^o

67^o

57^o, 18^o

The conic is a parabola if

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e <1

e > 1

e = 1

e = 0

In 30,60,90 triangle if the smallest side is 6 than the side opposite to the angle of 60^o is

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12

3

6√3

6

The radius of the circle (x- 1)² + (y + 3)² =64 is

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8

2√2

4

64

The direction cosines of y-axis are

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1,0,0

0,1,0

0,0,1

1,1,1

Cse π/3

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2

1

0

2/√3

If A = [a_ij] and b = [b_ij] are the matrices of the order 3x3 then A-B=

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Circle

Ellipse

Parabola

Hexagon

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

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3/4

r

v

π

The equation of the line with gradient 1 passing through the point (h,k) is

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Y = x+ k-h

Y = k/hx +1

Y = x + h -l

Ky = hx =1

Sec^-1 x=

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Cos^-1 1/x

Cosec^-1 1/x

Cos-1 (-x)

Tan^-1 x

A sequence of numbers whose reciprocals forms an arithmetic sequence is called

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Harmonic series

Arithmetic series

Harmonic sequence

Geometric sequence

The sum of the series 1+5+9+13+17+21+25+29 is:

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10 cm

20 cm

30 cm

40 cm

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

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10

20

12

1

The set (Z, +) forms a group

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Function on B

Range

Domain

A into B

If x² +y² = 4, Then dy/dx =

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2x +2y

4 -x²

-x/y

y/x

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

If ab > 0 and a < 0, which of the following is negative?

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b

-b

-a

(a - b)²

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