Question # 1

Write the first four terms of the arithmetic sequence 5, 2, -1, ... is

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3

-4

7

1

If A is such that a,A,B are in A.P then A is called

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A.M

Common ratio

Common difference

None of these

The distance between the points (2, 2) and (3, 3) is

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10

5

2

w¹⁵= ______

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0

1

w

w²

A relation in which the equality is true only for some values of the known is called ______

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An identity

An equation

A polynomial

None of these

If sided of𝜟ABC are 16,20,and 33, then the value of the greatests angle to

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150𝜊 20'

132𝜊 35'

101𝜊 25'

160𝜊 50'

The equation x2+ y2- 8x+ 6y+ 25= 0 represents

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A circle

A pair of straight lines

A point

None of these

In R the right cancellation property w.r.t. addition is

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The general solution of tan 3x = 1 is

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The law of sines

The law of consines

The law of tangents

None of these

If a plane passes through the vertex of a cone then the intersection is

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an ellipse

a hyperbola

a point circle

a parabola

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none of these

The period of tan x/7 is

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3π

7π

15π

5π

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1

2

3

4

∀a,b,c∈R, a >b ∧ b>c ⇒ a >c is

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Trichotomy property

Transitive property

Symmetric property

Additive property

The axis of the parabola y²= 4ax is

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X = 0

Y = 0

X = y

X = -y

The additive identity of real number is

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1

2

1/2

0

If a = 2i +2j, b= 3i -j and c=4i +5j, the 3b -a-2c =

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-i -15j

i-15j

i-3j

None of these

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A = x, B = 1

A = 0, B = 2

A = -1, B = 1

A = x-1, B = x+1

Maximum value of z =15x +20y subject to 3x+ 4y≤ 12,x,y≥ 0 is given by

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46

60

50

70

The roots of the equation ax²+ bx + c = 0 are complex/imaginary if

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b²- 4ac < 0

b²- 4ac = 0

b²- 4ac > 0

None of these

0 (zero) is

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An irrational number

A rational number

A negative integer

A positive number

The set {-1, 1} is closed under the binary operation of

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Addition

Multiplication

Subtraction

Division

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15/23

7/15

7/8

15/7

Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First, the women choose the chairs from amongst the chairs marked 1 to 4 and then the men select the chairs from amongst the remaining. The number of possible arrangement is

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⁶C₃x ⁴C₂

⁴C₂x ⁴P₃

⁴P₂x ⁶P₃

None of these

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2x

2

If A is a subset of B and B contains at least one element which is not an element of A, then A is said to be

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Improper subset of B

Super set of B

Proper subset of B

None of these

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16

256

64

1024

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30°

45°

60°

120°

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