Question # 1

The set of real numbers is a subset of

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The set of natural numbers

The set of rational numbers

The set of integers

The set of complex numbers

Every set is an improper subset of

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Empty set

Equivalent set

Itself

Singleton set

i¹⁰¹=

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i

i²

-i

-1

If f(x) = tan x then f(0) is

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0

1

1/2

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-1

0

2

1

The fifth term of (a+2x3)17 is

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4013 x3a13

2208a13 x12

223x7a18

38080a13 x12

The set {x +iy / x, y ∈ Q} forms a group under the binary operation of

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Addition

Multiplication

Division

Both addition and multiplication

n² - 1 divisible by 8 when n is

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an odd integer

an even integer

Irrational

Prime Number

The points (5, 0, 2), (2, -6, 0), (4, -9, 6) and (7, -3, 8) are vertices of a

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Square

Rhombus

Rectangle

Parallelogram

The equation of the line perpendicular to x- axis and passing through (-5,3) is

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y -3 =0

x+ 3 =0

y- 3 =∞

x +5 =0

Tan 180° = ______

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-1

0

1

Undefined

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Principle of equality of fractions

Rule for product of fractions

Golden rule of fractions

Rule for quotient of fractions

We solve the system of non-homogeneous linear equations by

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a and b

b and c

c and a

a,b and c

The element range of sequence are called

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Series

progression

Members

Terms

Range of sin x is ______

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[-1, 1]

R

Negative real numbers

None of these

The set of rationals numbers between 0 and I is

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Finite

Null set

Infinite

None of these

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The roots of (x - a)(x - b) = ab x2 are always

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Real

Depends upon a

Depends upon b

Depends upon a and b

The coefficient of xn in the expansion of (1-x)-1 is

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(-1)n2n

1

(-1)n(n+1)

(n+1)

Two balanced dice are tossed once, the sample space when the integers on the faces of two dice are the same is

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{(1, 1), (2, 2), (3, 3)}

{(4, 4), (5, 5), (6, 6)}

{(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)}

None of these

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

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a⁴cos (ax + b)

a⁴sin (ax + b)

-a⁴sin (ax + b)

a⁴tan (ax + b)

The domain and range of a trigonometric function can be allocate by their

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graph

Continuity

Discontinuity

Periods

The maximum value of the quadratic function f(x) = -2x2+20x,is

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4

3

50

7

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16 / 7

6 / 17

7 / 16

None of these

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The zero vector is

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[0, 0, 0]

[1, 1, 1]

[0, 1, 0]

[0, 0, 1]

(0,1) is in the solution of the inequality

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3x + 2y > 8

2x - 3y < 4

2x + 3y > 5

x -2y < -5

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