Question # 1

Cot 360° =______.

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Undefined

0.707

-0.5

0

The magnitude of a vector can never be

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Zero

Negative

Positive

Absolute

The set (Q, .)

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Infinite set

Singleton set

Two points set

None

Sin 720° = ________

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1

0

2

1/2

Sin-1 (√2/2)=?

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π/2

π/3

3π/4

2π

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

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Zero

One

Four

Infinite

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

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

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π/3

-π/3

2π/3

5π/3

If θ= 60° then

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sin θ = 1/2

tan θ = cot 30°

θ = π/4

Sec θ =4

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

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3/4

r

v

π

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

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

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3/8

-2 2/3

-1/3

2

The mid point of the line joining (=1,-3) to(3,-5) is

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(1, 1)

(1,-1)

(2, -8)

(1, -4)

ωⁿ = ?, when n = 3k

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0

ω

1

1 / ω

The two consecutive positive integers whose product is 56 are

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7, 8

14, 4

28, 2

56, 1

Sin^-1 √3/2 =?

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2π/3

π/2

π/3

v/5

If Cosθ =0, Then θ=

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nπ/2

(2n + 1)π/2

(2n - 1)π/2

(n ±1)π/2

Every prime number is also

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Rational number

even number

Irrational number

multiple of two numbers

Sin(a + b) + Sin(a- b) =

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Sin a Cos b

Sin a Sin b

Sin a + Cos b

Sin a - 2Cos b

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 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

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

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0

-25

5

45

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

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

Sin^-1 (-x) =?

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Sin^-1 x

-Sin^-1 x

Cos^-1 x

-Cos^-1 x

√23 is

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A rational number

A irrational number

An even integer

A factor of 36

The set (Z, +) forms a group

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Function on B

Range

Domain

A into B

120° degrees are equal to how many radians?

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π/3 radians

2π/3 radians

π/4 radians

π/2 radians

Which is a proper rational fraction

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3x - 7/x² +4

2x² - 5/x² + 4

3x⁴/2x² - 15

All are proper rational fraction

An m x n matrix is said to be rectangular if

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Forms a group w.r.t. addition

Non commutative group w.r.t. multiplication

Forms a group w.r.t. multiplication

Doesn't form a group

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

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

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∏/3

-∏/6

-∏/3

∏/6

The set of all positive even integers is

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Φ

{1,2,3}

{Φ}

{0}

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

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

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8

2√2

4

64

If sin θ= 3/5 Cos θ=

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1/2

3/5

4/5

1

Write the first four term of the arithmetic sequence if a₁ = 5 and other three consecutive terms are 23,26,29

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18 years

36 years

8 years

16 years

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

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 common difference of the sequence 7,4,1......is

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1

-3

5

0

If α and β be irrational roots of a quadratic equation, then

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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

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

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

d/dx [cos x²] =________

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-2x cos x²

-2x² sin x²

x² sin x

-2x² sin x²

Two natural numbers whose sum is 25 and difference is 5, are

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25, 20

20, 10

20, 5

15, 10

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 axis of the parabola y² = 4ax is

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x =0

Y =0

X = y

X = -y

Cse π/3

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2

1

0

2/√3

F(x) = xx decreases in the interval

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(0,e)

(0.1)

(-∞.0)

None

If Cⁿ_r, Pⁿ_r = 24:1 then r = ?

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1

2

3

4

Find the geometric mean between 4 and 16

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7, 8

14, 4

28, 2

56, 1

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

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addition

multiplication

subtraction

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

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

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 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

Tan^-1 1/x =______

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Sin x

Sec^-1 X

Cot^-1 X

Sin Ix/cos- Ix

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

Partial fraction of 1/x³-1 will be of the form

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Conjugate pair

ordered pair

reciprocal pair

quadratic function

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 center of a circle of radius 10 is on the origin which of the following points lies with in the circle

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(10,0)

(8,8)

(8,4)

(0,10)

For any set X, X∪X is

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15

15i

-15i

-15

Cos^-1 (-x) =_______.

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π +cos^-1 x

π -sin^-1 x

π +sin^-1 x

π -cos^-1 x

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 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

6 is

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A prime integer

An irrational number

A rational number

A odd integer

Graph of the equation X² + y² = 4 is

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a circle

an ellipse

a parabola

A square

Which of the following is not defined?

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Arcsin 1/9

ArcCos (-4/3)

Arctan 11/12

Arccot (-4)

Which of the following is the subset of all sets ?

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A ≠ C

B = C

A = B

A ≠ B