Which of the following is correct?

(a)

{7} ∈ {1,2,3,4,5,6,7,8,9,10}

(b)

7 ∈ {1,2,3,4,5,6,7,8,9,10}

(c)

7 ∉ {1,2,3,4,5,6,7,8,9,10}

(d)

{7} \(\nsubseteq \) {1,2,3,4,5,6,7,8,9,10}

The set P = {x | x ∈ Z , –1 < x < 1} is a –––––––––.

(a)

Singleton set

(b)

Power set

(c)

Null set

(d)

Subset

A = {set of odd natural numbers}, B = {set of even natural numbers}, then A and B are ___________

(a)

equal set

(b)

equivalent sets

(c)

overlapping sets

(d)

disjoint sets

The shade region with adjoint diagram represents ___________

(a)

A - B

(b)

B - A

(c)

A'

(d)

B'

If n is a natural number then \(\sqrt { n } \) is ________.

(a)

always a natural number

(b)

always an irrational number

(c)

always a rational number

(d)

may be rational or irrational

Which of the following is not true?

(a)

Every rational number is a real number

(b)

Every integer is a rational number

(c)

Every real number is an irrational number

(d)

Every natural number is a whole number

The value of  \(0.\bar { 23 } +0.\bar { 22 } \) is ____________

(a)

\(0.\bar { 43 } \)

(b)

0.45

(c)

\(0.4\bar { 5 } \)

(d)

\(0.\bar { 45 } \)

The decimal form of -\(\frac { 3 }{ 4 } \) is_______________

(a)

- 0.75

(b)

- 0.50

(c)

-0.25

(d)

- 0.125

If a number has a non-terminating and non-recurring decimal expansion, then it is______________ .

(a)

a rational number

(b)

a natural number

(c)

an irrational number

(d)

an integer

The type of the polynomial 4–3x³ is  ________.

(a)

constant polynomial

(b)

linear polynomial

(c)

quadratic polynomial

(d)

cubic polynomial.

x³ – x² is a …………..

(a)

monomial

(b)

binomial

(c)

trinomial

(d)

constant polynomial

Which of the following is a monomial?

(a)

\({ 4x }^{ 2 }\)

(b)

\(a+b\)

(c)

\(a+b+c\)

(d)

\(a+b+c+d\)

Which of the following is trinomial?

(a)

-7z

(b)

\({ z }^{ 2 }-{ 4y }^{ 2 }\)

(c)

\({ x }^{ 2 }y-{ xy }^{ 2 }+y\)

(d)

\(12a=9ab+5b-3\)

The sum of \({ 5x }^{ 2 };-7x^{ 2 };8x^{ 2 };11x^{ 2 }\ and\ -9x^{ 2 }\) is ___________ 

(a)

\(2{ x }^{ 2 }\)

(b)

\(4{ x }^{ 2 }\)

(c)

\(6{ x }^{ 2 }\)

(d)

\(8{ x }^{ 2 }\)

The value of the polynomial f(x) = 6x - 3x²+9 when x = -1 is _____________________

(a)

0

(b)

1

(c)

2

(d)

3

It is not possible to construct a triangle when its sides are ____________

(a)

8.2 cm, 3.5 cm, 6.5 cm

(b)

6.3 cm, 3.1 cm, 3.2 cm

(c)

7 cm, 8 cm, 10 cm

(d)

4 cm, 6 cm, 6 cm

The exterior angle of a triangle is equal to the sum of two ________.

(a)

Exterior angles

(b)

Interior opposite angles

(c)

Alternate angles

(d)

Interior angles

In the quadrilateral ABCD, AB = BC and AD = DC Measure of ∠BCD is ________.

(a)

150°

(b)

30°

(c)

105°

(d)

72°

The correct statement out of the following is ________.

(a)

ΔABC ≅ ΔDEF

(b)

ΔABC ≅ ΔDEF

(c)

ΔABC ≅ ΔFDE

(d)

ΔABC ≅ ΔFED

If bisectors of ∠A and ∠B of a quadrilateral ABCD meet at O, then ∠AOB is ________.

(a)

∠C + ∠D

(b)

\(\frac { 1 }{ 2 } (\angle C+\angle D)\)

(c)

\(\frac { 1 }{ 2 } \angle C+\frac { 1 }{ 3 } \angle D\)

(d)

\(\frac { 1 }{ 3 } \angle C+\frac { 1 }{ 2 } \angle D\).

The interior angle made by the side in a parallelogram is 90° then the parallelogram is a ________.

(a)

rhombus

(b)

rectangle

(c)

trapezium

(d)

kite

The angle sum of a convex polygon with number of sides 7 is ________

(a)

900°

(b)

1080°

(c)

1444°

(d)

720°

What is the name of a regular polygon of six sides?

(a)

Square

(b)

Equilateral triangle

(c)

Regular hexagon

(d)

Regular octagon

In a parallelogram \(\angle{A}:\angle{B}=1:2\) Then ㄥA ............

(a)

30°

(b)

60°

(c)

45°

(d)

90°

Diagonal of which of the following quadrilaterals do not bisect it into two congruent triangles?

(a)

rhombus

(b)

trapezium

(c)

square

(d)

rectangle

The point of concurrency of the medians of a triangle is known as __________

(a)

circumcentre

(b)

incentre

(c)

orthocentre

(d)

centroid

The distance between the point ( 5, –1 ) and the origin is _______.

(a)

\(\sqrt { 24 } \)

(b)

\(\sqrt { 37 } \)

(c)

\(\sqrt { 26 } \)

(d)

\(\sqrt { 17 } \)

On which quadrant does the point (- 4, 3) lie?

(a)

I

(b)

II

(c)

III

(d)

IV

The point whose abscissa is 5 and lies on the x-axis is__________

(a)

(-5, 0)

(b)

(5,5)

(c)

(0,5)

(d)

(5,0)

A point which lies in the III quadrant is__________________

(a)

(5, 4)

(b)

(5, - 4)

(c)

(-5, - 4)

(d)

(-5,4)

A point on the y-axis is ________________

(a)

(1, 1)

(b)

(6,0)

(c)

(0,6)

(d)

(-1, -1)

The distance between the points (4, -1) and the origin is___________

(a)

\(\sqrt{24}\)

(b)

\(\sqrt{37}\)

(c)

\(\sqrt{26}\)

(d)

\(\sqrt{17}\)

The distance between the points (a, 0) and (0, b) is____________

(a)

a unit

 

(b)

b unit

(c)

\(\sqrt{a^2+{b^2}}\ unit\)

(d)

\(\sqrt{a^2-{b^2}}\ unit\)

The centre of a circle is (0, 0). One end point of a diameter is (5, -1), then ______________

(a)

\(\sqrt{24}\)

(b)

\(\sqrt{37}\)

(c)

\(\sqrt{26}\)

(d)

\(\sqrt{17}\)

If A ⊆ B, then A - B is __________

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Ø

Sets having atleast one element in common are called ___________

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overlapping sets

If n(A) = 50, n(B) = 35, n(A ⋂ B) = 5, then n(A U B) is equal to __________

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80

The value of \(3\sqrt { 3 } +\sqrt { 3 } \) is ______________.

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\(4\sqrt { 3 } \)

The value of \(\left[ \sqrt { { x }^{ 3 } } \right] ^{2/3}\) is

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x

If \(\sqrt { 10 } \)= 3.1622, then the value of is \(\frac { 1 }{ \sqrt { 10 } } \) is_________.

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0.31623

The rational number equivalent to \(\frac { 5 }{ 9 } \) such that its numerator is 25 is____________ .

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\(\frac { 25 }{ 45 } \)

A square has sides of equal length and angles of equal measures, so it is not a ______ polygon.

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regular

The ordinate of the point (-5, 3) is_________________

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3

The ordinate of every point on the x-axis is________________

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0

Consider the following sets A = {0, 3, 5, 8}, B = {2, 4, 6, 10} and C = {12, 14,18, 20}.
18 \(\in \)C

(a) True

(b) False

Consider the following sets A = {0, 3, 5, 8}, B = {2, 4, 6, 10} and C = {12, 14,18, 20}.
6 \(\notin \) A

(a) True

(b) False

Consider the following sets A = {0, 3, 5, 8}, B = {2, 4, 6, 10} and C = {12, 14,18, 20}.
14 \(\in \) C

(a) True

(b) False

Consider the following sets A = {0, 3, 5, 8}, B = {2, 4, 6, 10} and C = {12, 14,18, 20}.
10 \(\in \) B

(a) True

(b) False

Consider the following sets A = {0, 3, 5, 8}, B = {2, 4, 6, 10} and C = {12, 14,18, 20}.
5 \(\in \) B

(a) True

(b) False

Consider the following sets A = {0, 3, 5, 8}, B = {2, 4, 6, 10} and C = {12, 14,18, 20}.
0\(\in \)B

(a) True

(b) False