Question # 1

If |αi + (α+1)j +2k| =3 then value of α is

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1,2

-1,-2

1,-2

-1,2

The first three terms in the expansion of (1 - x)^-2are

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1 - 2x + 3x²

1 - 2x - 3x²

1 + 2x + 3x²

-2 - 2x +3x²

The set { {a,b} } is

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Infinite set

Singleton set

Two points set

Empty set

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2x - 3x + c

x²- 3x + c

A polynomial of arbitrary degree

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f(x) = o

f(x) = x

f(x) = a

f(x) = ax + b,a ≠ 0

Any whole number can be written as a product of factors which are

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Even number

Odd numbers

Prime number

Rational number

1 radian = ______

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180°

90°

57.296°

60°

Every real number is

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A complex number

A rational number

A natural number

A prime number

Which one represents a sequence

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an

Sn

a(n)

{an}

Multiplicative inverse of "1" is

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0

-1

1

{0, 1}

u,v,wand u x (v.w) are

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Equal

Parallel

Additive immense of each other

Meaningless

If the circumference of a circle is divided into 360 congruent parts, the angle subtended by one part at the centre of the circle is

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1⁰

1'

1"

1 rad

The equation of the tangent at vertex to the parabola is y2 = -8(x -3)

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y=0

x=3

x=1

x=5

The set {-1, 1} is

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Group under the multiplication

Group under addition

Does not form a group

Contains no identity element

For different values of k equation 4x+5y =k represents

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Parallel lines

Lines parallel to x -axis

Perpendicular lines

Lines parallel to y -axis

There is no integer n for which 3ⁿis

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Odd

even

Natural

Prime

22.5°=______

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Fifteen girls compete in a race. The first three places can be taken by them in

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3! ways

12! ways

15 x 14 x 13 ways

42 ways

2π is the period of

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sin𝜽

tan𝜽

cot𝜽

all circular function

The value of x and y when (x + iy)2 = 5 - 4i

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x = 2, y = -1

x = -2, y = 1

x = 2, y = -i

x = 2, y = 2

The unit vector along x-axis is

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none of these

Digit in the unit place of the number 183! + 3¹⁸³

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7

6

3

0

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Improper rational fraction

Rational fraction

Proper rational fraction

None of above

How many different 5-digit even numbers are possible form digit 1,2,4,6,8

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4 : 4!

4!

5!

4!+4!

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

A circle drawn inside a triangle and touching its sides is called ______;

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Circumcirle

Incircle

Escribed circle

unit circle

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The set (Z,+) forms a group

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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

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0

1

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