Question # 1

ωⁿ = ?, when n = 3k

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0

ω

1

1 / ω

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 nth term of A,P:1,5,9,15...........is given by

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4n - 3

4n + 1

3n -4

4n +3

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

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b

-b

-a

(a - b)²

d/dx (3y⁴) =

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12y³ dy/dx

8y³

8y³ dy/dx

12y³

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

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

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6

12

18

36

The set (Z, +) forms a group

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Function on B

Range

Domain

A into 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

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

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Zero

One

Four

Infinite

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

There are 30 Red balls and 25 Green balls in a bag of a ball is drawn from the bag randomly what is the probability that a Blue ball comes out?

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1

0.5

0

None

There are 30 Red, 20 Green and some Blue bells in a bag if the probability of finding a Red ball is 1/3,how many are red balls in the bag

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120

20

40

90

Unit vector in the positive direction of x-axis is

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î

ĵ

k̂

All

Sin (2π -θ) =______.

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Cosθ

-Sinθ

-cosθ

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

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10

20

12

1

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

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foci

Vertices

Co-vertices

eccentricity

The conic is a parabola if

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e <1

e > 1

e = 1

e = 0

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

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

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n(n +1)/2

n +1/2

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

n³

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

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

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)

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

In the figure PS is perpendicular to QR, if PQ = PR 26 and P8 = 24,then QR=

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10

20

40

26

π/3 is

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A positive integer

A negative integer

A natural number

An irrational number

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

If -1 < x < 0, which of the following statement must be true?

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x < x² < x²

x < x³ < x²

x² < x³ < x

x²< x < x³

Derivative of strictly increasing function is always

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Zero

Positive

Negative

Both A and B

The graph of a quadratic function is

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Circle

Ellipse

Parabola

Hexagon

Period is Tan x/5 is

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5π

4π

2π

π/5

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

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

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0

±1

1

{0,1}

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

AreCot √3 =?

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π/2

π

2π

π/6

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

P(x) = 2x⁴ -3x³ +2x-1 is polynomial of degree

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1

2

3

4

Sin^-1 √3/2 =?

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2π/3

π/2

π/3

v/5

√23 is

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A rational number

A irrational number

An even integer

A factor of 36

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

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∏/3

-∏/6

-∏/3

∏/6

Which is an explicit function

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y = x² +2x -1

x² +xy +y² =2

xy² -y +9/xy =1

All are

If the vector 2i+4j-2k and 2i +6j+xk are perpendicular then x-7

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4

8

14

7

If θ= 60° then

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sin θ = 1/2

tan θ = cot 30°

θ = π/4

Sec θ =4

Tan^-1 1/x =______

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Sin x

Sec^-1 X

Cot^-1 X

Sin Ix/cos- Ix

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

If sinθ = 1 then θ =

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2nπ +π/2

2nπ

2π +n

Nπ +π/2

If Cosθ =0, Then θ=

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nπ/2

(2n + 1)π/2

(2n - 1)π/2

(n ±1)π/2

The direction cosines of y-axis are

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1,0,0

0,1,0

0,0,1

1,1,1

The two consecutive positive integers whose product is 56 are

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7, 8

14, 4

28, 2

56, 1

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

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Harmonic series

Arithmetic series

Harmonic sequence

Geometric sequence

Complex roots of real quadratic equation occur in

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Nilpotent matrix

Singular matrix

Non singular matrix

Diagonal matrix

The parametric equation of a curve are x = t², y = t²then

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dy/dx =3t/2

dy/dx =t⁵

dy/dx =5t⁴

None

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

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(3,0)

(4,1)

(1,3)

None

∫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

F(x) = xx decreases in the interval

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(0,e)

(0.1)

(-∞.0)

None

Cos^-1 (-x) =_______.

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π +cos^-1 x

π -sin^-1 x

π +sin^-1 x

π -cos^-1 x

Sin x + Cos x=1 x=

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π

π/2

π/3

π/4

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

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addition

multiplication

subtraction

None

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

Which is not a half plane

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ax + by < c

ax + by > c

Both A and B

None

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

The number of diagonals of a six sided figure are

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9

6

12

3

Cse π/3

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2

1

0

2/√3

If Z₁ = √-36, Z₂=√-25, Z₃= √-16, then what is the sum of Z₁, Z₂ and Z₃ ?

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√3 I

√7

-2-1

√5

The axis of the parabola y² = 4ax is

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x =0

Y =0

X = y

X = -y

If Sin θ =Cosθ then θ=

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30°

45°

60°

90°

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 of the following is the subset of all sets ?

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A ≠ C

B = C

A = B

A ≠ B

The magnitude of a vector can never be

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Zero

Negative

Positive

Absolute

d/dx [cos x²] =________

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-2x cos x²

-2x² sin x²

x² sin x

-2x² sin x²

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