Question # 1

Equality of two ratios is defined as _________:

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Direct proportions

Inverse proportions

Ratio

Proportion

Order of matrix P = [3 2 5] is:

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3-by-3

3-by-1

1-by-3

1-by-1

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logp - logq

logp + logq

logq - logp

The relation y = log_zx implies:

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xy=z

zy=x

xz=y

yz=x

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Degree of polynomial means ______ power of variable:

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Lowest

Highest

Both a and b

None of these

A matrix is called a row matrix if it has only one _________:

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Column

Row

Diagonal

None

If a²+b²>c²then triangle is called:

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Acute

Obtuse

Scalene

Right

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(a-b)2

(a+b)2

a+b

a-b

In parallelogram ______ are congruent:

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Opposite sides

Opposite angles

Opposite sides and angles

Diagonals

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Similar

Congurent

Equal

Different

In a proposition a:b::c:d, a and d are called:

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Means

Extremes

Fourth proportional

None

A cumulative frequency table is also called.....................

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Frequency distribution

Data

Less then cumulative frequency distribution

Histogram

The number of terms in a standard quadratic equitation ax²+bx+c=0 is:

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1

2

3

4

The straight line joining any two points of the circumference is called:

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Segment of circle

Arcof circle

Chordof circle

Tangentof circle

The tangent and radius of a circle at the point of contact are:

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Parallel

Not perpendicular

Perpendicular

If tan θ = √3 then θ =____________.

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30°

45°

60°

90°

1/1+ sinθ + 1/1-sinθ

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2sec²θ

2 cos²θ

Sec²θ

cosθ

To solve (x+a)(x+b)(x+c)(x+d) = k, we have:

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a-b=b-c

a-b=c-d

a+b=c+d

a-c=b-c

If number of elements in set A is 3 and in set B is 4 then number of elements in AxB is:

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3

4

12

7

Variance is denoted by...........................

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V

S

S²

X

Equation 3^2-x + 6 = 0 is of type:

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Exponential

Radical

Reciprocal

Non

Sum of all odd numbers between 100 and 200 is:

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6200

6500

3750

7500

If the Discriminant of a quadratic equation is a perfect square, then roots are:

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real and equal

complex

rational

irrational

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The range of principal cosine function is:

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r₁

r₂

r₃

r

No. of arrangements can be made of 4 letters a, b, c, d taken 2 at a time ?

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8

12

10

14

If two rows (or two columns) in a square matrix are identical (i.e. corresponding elements are equal), the value of the determinant is:

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0

1

-1

±1

The area of a sector of a circular region of radius r with length of the arc of the sector equal to s is-----------:

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rΘ

rs

(x + 3) (x + 4) = x2 + 7x + 12 is:

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How many different number can be formed by taking 4 out of the six digits 1, 2, 3, 4, 5, 6:

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360

120

366

none of these

tan (-135°) =

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0

1

√2

A point of a solution region where two of its boundary lines intersects is called a __________ point of the solution region:

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Maximum

Corner

Minimum

None of these

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sec x tan x

- sec²x

-sec x tan x

sec²x

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tan x + c

- tan x + c

sec x tan x + c

- sec x tan x + c

If the upper limit is a constant and the lower limit is a variable, then the integral is a function of:

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x

y

lower limit

upper limit

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Circle

Parabola

Hyperbola

Ellipse

The line x = a is on the right of y - axis if:

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a > 0

a < 0

a = 0

y = -2 is a line:

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Parallel to x-axis

Parallel to y-axis

Perpendicular to x-axis

None of these

The graph of linear equation of the form ax + by = c is a _________ where a, b and c are constants and a, b are not both zero.

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Curve

Circle

Straight line

Parabola

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Volume of the tetrahedron

Volume of the parallelepiped

Volume of the triangle

None of these

Point p (-5, 6) lies ............ the circle x² + y² + 4x - 6y - 12 = 0

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Outside

Inside

On

None of these

The ratio in which x-axis divides the line segment joining the points:

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1 : 1

1 : 3

1 : 5

1 : 2