Question # 1

Ordinary notation of 7.61 x 10^-4 is:

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0.000761

0.761

76100

0.0000761

∀ a,b∈ R, a + b = b + a is _____________ Property of real numbers.

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Closure property w.r.to '+'

Closure property w.r.to 'x'

Commutative property '+'

Commutative property w.r.to 'x'

A triangle having two sides congruent is called__________:

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Scalene

Right angled

Equilateral

Isosceles

When a polynomial has been written as a product consisting only of ___________factors, then it is said to be factored completely ?

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Prime

Natural

Rational

Irrational

The symbol "for all" is:

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3-by-2

2-by-3

1-by-3

3-by-1

Conjugate of -3 is:

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3

-3

-3i

3i

A triangle is formed by ____ non-collinear points______:

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2

3

4

5

If a:b=c:d then a,b,c and d are said to be in:

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Proportion

Ratio

Equal

Unequal

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a = Im

a = Re(z)

a = Natural number

None of these

What should be added to complete the square of x⁴+64 _______ :

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8x²

-8x²

16x²

4x²

In which quadrant 0 lie when Co secθ<0, cosθ<0?

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I

II

III

IV

Which of the following is distributive property intersection over union?

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A∪ (B ∪ C) = A∪ (B∪ C)

A∩ (B∩C)= (A∩B)∩C

A∪ (B∩ C) = ( A∪ B)∩ (A∪ C)

A∩(B∪ C) = (A∩B)∪(A∩C)

O∪ E = ................

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∅

O

E

Z

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The line that passes through centre and touches a circle at two points is called:

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Diameter

Radius

Arc

Corners

A value best representing a set of data is called:

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Average

Variance

Standard deriviation

None of these

To resolve rational fraction, multiply both sides by:

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H.C.F

An even, number

L.C.M

An odd number

1/2 Cosec 45^o = ___________________

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1/2√2

1/√2

√2

√3/2

Geometry means measure of the:

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Earth or Straight line

Earth or Land

Triangle or Polygon

Earth or Point

A ratio has:

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No units

Oneunit

Twounits

Threeunits

Which of the following is De-Morgan's law?

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(A∪ B)∪ C = A∪ ( B∪ C)

(A∩B)^C= A^c∪ B^c

A∪ (B∩ C) = ( A∪ B)∩ (A∪ C)

A∩(B∪ C) = (A∩B)∪(A∩C)

A circle drawn inside a triangle and touching its sides is known as:

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all of these

tan(π + cot^-1x ) =

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r₁=

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3:5:2

3:2:1

1:2:3

The number of diagonals of a polygon with n sides is:

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none of these

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ⁿC₄ =ⁿC₈then n = :

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4

12

8

6

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A is superset of B

B is superset of A

A is subset of B

A is equivalent to B

In how many ways two places can be filled by n objects:

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n(n-1)

2!

n(n+1)

None

The ratio between the measure of the radial segment and the diameter of a circle is:

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2 : 1

4 : 3

1 : 2

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0

1

e

Does not exist

(1, 0) is the solution of inequality :

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7x + 2y < 8

x - 3y < 0

3x + 5y > 6

-3x + 5y > 2

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If y = x² + 1 _______________ x changes from 3 to 3.02 then dy = __________

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0.1204

.12

.02

1.2

The point (2, 5) lies the lie 3x - y + 1 = 0

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Above

Below

On

None

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Common logarithmic

Natural logarthmic

Exponential

None of these

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ln |sec x + tan x | + c

ln |cosec x - cot x | + c

ln |sec x - tan x | + c

ln |cosec x + cot x | + c

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0

1

-1

2

The feasible region is ________ if it can easily by enclosed within a circle.

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Bounded

Exist

Unbounded

None of these

If (2, 1) is the mid point of the line segment joining the points (2, x) & (2, -5) then x =

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1

2

7

-7