Question # 1

The interior of a rectangle is the part of the plane enclosed by the ________:

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Square

Triangle

Rectangle

Parallelogram

Triangles on equal bases and of equal altitudes are _______ :

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Same in shape

Equal in Area

There is only Triangle

None of these

Which of them is not an acute angle

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30°

60°

80°

90°

Two lines can intersect only at --------- point:

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1

2

3

4

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

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Ratio

Variation

Proportion

Disproportion

A matrix is called column matrix if it has only one:

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Column

Row

Diagonal

None

For solve the linear equations, if fraction are present, we multiply each side by ___________ of the denominator or eliminate them:

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LCM

HCF

Square root

Both a and b

Diagonals of a rectangle are:

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Equal

Congruent

Opposite

None of these

Congruent triangles are ___________:

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Parallel

Similar

Different

None of these

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1

H.C.F of p³q - pq³ and p⁵q² - p²q⁵ is _________:

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pq(p²-q²)

pq(p-q)

p²q²(p-q)

pq(p³-q³)

If A⊆ B the A⋂ B = ______

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A

B

∅

A⋃ B

In ratio a : b, the first term is called:

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Extremes

Means

Consequent

Antecedent

The mean of the squared deviations of x_i (i = 1, 2, -----------------,n) observations form their arithmetic mean is called:

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Variance

Standard deviation

Range

The number of element in power set {1.2.3} is.

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4

8

6

9

In a set of data 63,65,66,67,69, median is:

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63

66

67

69

If the rotation of the rays is anti-clock wise, the angle has ________ measure:

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Positive

Radian

Standar

Negative

The chord length of a circle subtending a central angle of 180° is always:

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Less than radial segment

Equal to the radial segment

Double of the radial segment

None of these

The system of measurement in which angle is measured in radian is called.

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C.G.S System

Sexagesimal system

M.K.S.System

circular system

A circum angle is subtended between any two chords of a circle, having:

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Circumference

Diameter

Radius

Central angle

The different number of ways to describe a set are:

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1

2

3

4

1 minute = __________ degree

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1/60

60

1/3600

3600

Inverse sine function is written as:

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(sin x)^-1

sin x^-1

arc sinx

arc sin^-1 x

How many complex cube roots of unity are there:

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2

0

1

3

A - B is a subset of:

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A

B

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ab - cd = 0

ac - bd = 0

ad - bc = 1

ad - bc = 0

If the sum of the roots of ax² - (a + 1) x + (2a + 1) = 0 is 2, then the product of the roots is:

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1

2

3

4

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a is an element of a set A

a is subset of A

a is a whole number

a contains A

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10π

What is the common difference of the sequence 11, 5, -1, ......... ?

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6

-6

none of the foregoing numbers

The number of radius in the angle subtended by an arc of a circle at the center =

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radius × arc

radius - arc

Gottfried Whilhelm Leibniz was a (an) ----- mathematician:

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German

English

Swiss

French

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0

4

7

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At

Not on

On

None of these

The Maclaurin series expansion is valid only if it is:

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Convergent

Divergent

Increasing

Decreasing

If the graph of f is entirely below the x-axis, then the definite integral is:

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Positive

Positive or negative

Negative

Positive and negative

The vertex of the parabola y² = -4ax is:

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

The distance of any point P (x, y) from the origin O(0 , 0) is given by:

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The graph of the parabola y²= -4ax is symmetric about:

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x-axis

y = x

y-axis

None of these

the focal chord perpendicular to the axis of the parabola is called _____________ of the parabola:

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Directrix

Latus rectum

Focus

Focal chord

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sech x tanh x

-sech²x

-sech x tanh x

sech²x

ax + b > c is an inequality of:

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One variable

Three variable

Two variable

Four variable