Question # 1

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

Sin (2π -θ) =______.

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Cosθ

-Sinθ

-cosθ

The number of ways in which 5 distinct toys can be distributed among 3 children is

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3⁵

5³

C⁵₃

P⁵₃

The range of inequality x + 2 > 4 is

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(-1,2)

(-2,2)

(1,∞)

None

What is the conjugate of -7 -2i ?

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-7 + 2i

7 + 2i

7-2i

√53

The cube roots of unity ω = -------------------------

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1-i √-3 / 2

-1+i √-3 / 2i

-1+i √3 / 2

1+i √3 / 2

The magnitude of a vector can never be

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Zero

Negative

Positive

Absolute

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 axis of the parabola y² = 4ax is

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x =0

Y =0

X = y

X = -y

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)

Sin^-1 x =?

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π/2- Sin^-1 x

π/2 -Cos^-1 x

-Sin^-1 x

-Cos^-1 x

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

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∏/3

-∏/6

-∏/3

∏/6

The complement of set A relative to universal set U is the set

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X

φ

Universal set

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

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6

12

18

36

Period is Tan x/5 is

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5π

4π

2π

π/5

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

Cos^-1 (-x) =_______.

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π +cos^-1 x

π -sin^-1 x

π +sin^-1 x

π -cos^-1 x

If θ= 60° then

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sin θ = 1/2

tan θ = cot 30°

θ = π/4

Sec θ =4

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

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4

8

14

7

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

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

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 sum of the interior angles for a 16 sided polygon is

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0

ω

1

1 / ω

If 1 + Cos x = 0 then x =

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π +2n π

π + nπ

π - nπ

π/2

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

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 A and B are matrices such that AB=BA=I then

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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

∫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

Sum of integers starting from to n is

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n(n+1)/4

n(n+1)/6

n(n+1)/2

n(n-1)/2

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

The average of first 100 integers is=

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50 1/2

25 1/4

100

5050

A function F(x) is called even if

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F(x) = F(-x)

F(x) = -F(x)

2F(x) = 0

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

If 4 - x > 5, then

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x > 1

x > -1

x < 1

x < -1

Which of the following is the solution of Cot²x = 1/√3

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π/5

π/3

π/7

π/9

If f(x) = x³- 2x² +4x-1, then f(-2) =?

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0

-25

5

45

The set (Z, +) forms a group

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Function on B

Range

Domain

A into B

The perpendicular bisector of any chord of a circle

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Passes through the center of the circle

Does not pass through the center of the circle

May or may not pass through the center of the circle

None of these

d/dx a^x is

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xa^x-1

a^x

x in a

a^x in a

If Cⁿ_r, Pⁿ_r = 24:1 then r = ?

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1

2

3

4

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

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 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

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

0 (zero) is

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A irrational number

A rational number

A negative integer

A positive number

120° degrees are equal to how many radians?

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π/3 radians

2π/3 radians

π/4 radians

π/2 radians

Sin^-1 √3/2 =?

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2π/3

π/2

π/3

v/5

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

Which is an explicit function

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y = x² +2x -1

x² +xy +y² =2

xy² -y +9/xy =1

All are

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

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Boundary

Inequality

Half plane

Vertex

In a school, there are 150 students. Out of these 80 students enrolled for mathematics class, 50 enrolled for English class, and 60 enrolled for Physics class. The student enrolled for English cannot attend any other class, but the students of mathematics and Physics can take two courses at a time. Find the number of students who have taken both physics and mathematics.

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40

30

50

20

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

3/2 is

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An irrational number

Whole number

A positive integer

A rational number

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

Period of Sin 2x =

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π

4π

2nπ

2π

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

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8

2√2

4

64

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

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3

-3

13

-13

x² +2x -25 = 0 is

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1

2

3

4

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

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)

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]

The two consecutive positive integers whose product is 56 are

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7, 8

14, 4

28, 2

56, 1

The principal value of sin^-1 [√3/2] is

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π/3

-π/3

2π/3

5π/3

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

A fraction in which the degree of the numerator is less than the degree of the denominator is called

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1-i √-3 / 2

-1+i √-3 / 2i

-1+i √3 / 2

1+i √3 / 2

Sin 720° = ________

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1

0

2

1/2

The graph of a quadratic function is

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Circle

Ellipse

Parabola

Hexagon

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

In general matrices do not satisfy

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Not a group

A group w.r.t. subtraction

A group w.r.t. division

A group w.r.t. multiplication

Which is not a half plane

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ax + by < c

ax + by > c

Both A and B

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