The rational number between -1/5 and -2/5 is

1

(a)

0

(b)

-1/4

(c)

-3/10

(d)

-7/25

Two rational numbers between \(\frac { 2 }{ 3 } \) and \(\frac { 5 }{ 3 } \)are:

1

(a)

1/6 and 2/6

(b)

1/2 and 2/7

(c)

5/6 and 7/6

(d)

2/3 and 4/3

The decimal expansion of \(\sqrt { 2 } \) is

1

(a)

finite decimal

(b)

1.4121

(c)

non-terminating recurring

(d)

non-terminating non-recurring

The value of \(\sqrt [ 4 ]{ { \left( 64 \right) }^{ -2 } } \) is

1

(a)

1/8

(b)

1/2

(c)

8

(d)

1/64

\(\sqrt [ 3 ]{ \frac { 54 }{ 250 } } \) equals:

1

(a)

\(\frac { 9 }{ 25 } \)

(b)

\(\frac { 3 }{ 5 } \)

(c)

\(\frac { 27 }{ 125 } \)

(d)

\(\frac { \sqrt [ 3 ]{ 2 } }{ 5 } \)

A linear polynomial

1

(a)

has one and only one zero

(b)

may have no zero

(c)

may have one zero

(d)

may have more than one zero

The zeros of the polynomial \(x^2+2 x+3\) are

 

1

(a)

real

(b)

not real

(c)

irrational

(d)

rational

If \(a+b=1\) then the value of \(a^3+b^3+3ab\) is

1

(a)

1

(b)

-1

(c)

2

(d)

-2

The expanded form of \((x+\frac{1}{3})^3\) is:

1

(a)

\(x^3+\frac{1}{27}+\frac{x}{3}+x^2\)

(b)

\(x^3+\frac{1}{9}+\frac{x}{3}+x^3\)

(c)

\(x^3+\frac{1}{27}+\frac{x^2}{3}+x\)

(d)

\(x^3+\frac{1}{27}+3x+3x^2\)

The expanded form of \((x+2y+z)^2\) is:

1

(a)

\(x^2+4y^2+z^2+4xy+4yz+2zx\)

(b)

\(x^2+4y^2+z^2+2xy+2yz+zx\)

(c)

\(x^2+4y^2+z^2+4xy+2yz+4zx\)

(d)

\(x^2+4y^2+z^2+4xy+4yz+4zx\)

Rene Descartes belonged to

1

(a)

15^th Century

(b)

16^th Century

(c)

17^th Century

(d)

18^th Century

Which of the following points lies on the negative side of x - axis?

1

(a)

(-4,0)

(b)

(3,2)

(c)

(0,-4)

(d)

(5,-7)

The co-ordinates of point Q are:

1

(a)

(3,3.5)

(b)

(3.5,3)

(c)

(-3,3.5)

(d)

(-3,-3.5)

The number of parts, the coordinates axes divide the plane are:

1

(a)

two parts

(b)

four parts

(c)

six parts

(d)

eight parts

If the points A(2,0), B(- 6,0) and C(3,a-3) lie on the x-axis, then the value of a is:

1

(a)

0

(b)

2

(c)

3

(d)

-6

If (x+2,4)=(5,y-2), then the coordinates (x,y) are:

1

(a)

(7,12)

(b)

(6,3)

(c)

(3,6)

(d)

(2,1)

Write the coordinates of P

1

(a)

(2,2)

(b)

(-1,-2)

(c)

(1,-2)

(d)

(-1,2)

The distance of the point (1,0) from O is:

1

(a)

0

(b)

1

(c)

2

(d)

None of these

The equation 2x=3 in two variables is of the form:

1

(a)

2.x+3.y=0

(b)

2.x+0.y=3

(c)

\({2\over3}.x+0.y=3\)

(d)

1.x+\(2\over3\).y=1

The equation in 3x+4y=12 has

1

(a)

a unique solution

(b)

no solution

(c)

two solution

(d)

infinitely may solution

x=2 and y=-1 in the solution of the equation:

1

(a)

x-y=3

(b)

2x+y=-3

(c)

x-2y=0

(d)

x+y=3

Solve the equation \({y\over 4}+1={y\over 2}\)

1

(a)

1

(b)

4

(c)

3

(d)

2

A solution of the linear equation \(2\sqrt{2}x-3y+4=0\) corresponding to y=2 is:

1

(a)

2-2\(\sqrt{2}\)

(b)

\(2\sqrt{2}-2\)

(c)

\(1\over \sqrt{2}\)

(d)

\(-\sqrt{2}\)

In Indus Valley Civilisation (about 300 b.C), The brick used for construction work were having dimension in the ration

1

(a)

1 : 3 : 4

(b)

4 : 2 : 1

(c)

4 : 4 : 1

(d)

4 : 3 : 2

In ancient India, the shapes of altars used for household rituals were

1

(a)

squares and circles

(b)

triangles and rectangles

(c)

trapeziums and phyramids

(d)

rectangles and squares

In ancient India, alters with combination of shapes like rectangles, triangles and trapeziums were used for

1

(a)

public workship

(b)

household rituals

(c)

both (a) and (b)

(d)

none of the above

Euclid belonged to the country

1

(a)

Babylonia

(b)

Egypt

(c)

Greek

(d)

india

Pythagoras was a student of

1

(a)

Thales

(b)

Euclid

(c)

both (a) and (b)

(d)

Archimedes

The number of lines that can pass through a given point is:

1

(a)

two

(b)

none

(c)

only one

(d)

infinite many

The things which coincide with one another are:

1

(a)

equal to one another

(b)

un equal

(c)

double of same thing

(d)

triple of same thing

In  figure the value x is 

1

(a)

\(30^{ 0 }\)

(b)

\(10^{ 0 }\)

(c)

\(20^{ 0 }\)

(d)

\(40^{ 0 }\)

In the following figure a transversal c intersects two parallel lines a and b The angles formed at A and B have been marked.Tell which pair of angles need not be equal?

1

(a)

\(\angle 1,\angle 2\)

(b)

\(\angle 1,\angle 3\)

(c)

\(\angle 1,\angle 5\)

(d)

\(\angle 2,\angle 8\)

In figure ,AB || CD the value of x is:

1

(a)

\(35^{ 0 }\)

(b)

\(40^{ 0 }\)

(c)

\(60^{ 0 }\)

(d)

\(75^{ 0 }\)

Two lines are respectively perpendicular to two perpendicular lines then the these two lines to each other are

1

(a)

parallel

(b)

perpendicular 

(c)

inclined at some acute angle

(d)

intersecting at \(110^{ 0 }\)

The measure of each of regular angles octagon is

1

(a)

\(120^{ 0 }\)

(b)

\(60^{ 0 }\)

(c)

\(135^{ 0 }\)

(d)

\(108^{ 0 }\)

In a regular polygon of an sides the measure of each interior angle is

1

(a)

\(\frac { 360^{ 0 } }{ n } \)

(b)

\(\frac { 2n-4 }{ n } \)

(c)

n right angles

(d)

2n right angles

Two equilateral triangles are congruent when:

1

(a)

their angles ar equal

(b)

their sides are equal

(c)

their sides are proportional

(d)

their areas are proportional

In two triangles ABC and DEF, ㄥA = ㄥD, ㄥB = ㄥE and AB = EF, then are the two triangles congruent? If yes, by which congruency rule?

1

(a)

yes, by AA

(b)

NO

(c)

yes, by ASA

(d)

Yes, by RHS

ΔABC is an isosceles right angled triangle in which ㄥA = 90⁰, then ㄥB =

1

(a)

60⁰

(b)

90⁰

(c)

45⁰

(d)

30⁰

In triangles ABC and PQR, AB = AC, ㄥC = ㄥPand ㄥB = ㄥQ. The two triangles are:

1

(a)

isosceles but not congruent

(b)

 isosceles and congruent

(c)

congruent but not isosceles

(d)

neither isosceles nor congruent

If three sides C1fone triangle are equal to three sides of another triangle, then the two triangles are congruent.

1

(a)

SAS congruence rule

(b)

ASA congruence rule

(c)

AAS congruence rule

(d)

SSS congruence rule.

In figure, if AB = AC and BD = DC, ΔABD and ΔACD are congruent by which criterion.

1

(a)

SSS

(b)

ASA

(c)

SAS

(d)

RHS

In figure, it is given that ΔABD ≅ ΔBAC, name the criteria by which the triangles are congruent.

1

(a)

RHS

In any triangle ABC, ㄥA > ㄥB and ㄥB > ㄥC, then the smallest side is:

1

(a)

AB

(b)

BC

(c)

CA

(d)

none of these

In ΔABC, if AB > BC then:

1

(a)

ㄥC < ㄥA

(b)

ㄥC=ㄥA

(c)

ㄥC > ㄥA

(d)

ㄥA=ㄥB

In ΔABC, ㄥA=100⁰, ㄥB=30⁰ and ㄥC=50⁰, then:

1

(a)

AB > AC

(b)

BC < AC

(c)

AB < AC

(d)

none of these

Each angle of a square is

1

(a)

30⁰

(b)

60⁰

(c)

90⁰

(d)

45⁰

Which of the following is false?

1

(a)

A square is a rectangle

(b)

A square is a rhombus

(c)

A parallelogram is a trapezium

(d)

A kite is a parallelogram.

A rhombus is

1

(a)

a rectangle

(b)

a square

(c)

a kite

(d)

not a square.

The quadrilateral formed by joining the mid-point of a quadrilateral taken in order is a 

1

(a)

kite

(b)

parallelogram

(c)

rectangle

(d)

square

The quadrilateral formed by joining the mid-point of the sides of a rectangle taken in order is a

1

(a)

rectangle

(b)

square

(c)

rhombus

(d)

kite

In the figure, ABCD is a parallelogram of area 128 cm² . If CF = 16 cm, the length of AD is

1

(a)

8 cm

(b)

4 cm

(c)

16 cm

(d)

10 cm

Two parallelograms are on equal bases and between the same parallels. The ratio of their areas is

1

(a)

1:2

(b)

1:1

(c)

2:1

(d)

3:1

ABCD is a quadrilateral whose diagonal AC divides it into two parts equal in area, then ABCD is

1

(a)

a rhombus

(b)

a parallelogram

(c)

a kite

(d)

a trapezium

In the given figure, ABCD is a parallelogram. F and E are midpoints of CD and AB respectively. If area (BEC) = a sq. units, then the area (ABCD) (in sq. units) is equal to:

1

(a)

2a

(b)

a

(c)

3a

(d)

4a

In which of the following figures, \(\Delta\)ABC and \(\Delta\)DBC lie on the same base and between the same parallels?

1

(a)

(b)

(c)

(d)

In the figure, parallelogram ABCD and \(\Delta\)BCP are on the same base BC and between the same parallels. If ar(BCP) = 15 cm². Then ar(ABCD) equals:

1

(a)

7.5 cm²

(b)

30 cm²

(c)

15 cm²

(d)

60 cm²

Parallelogram ABCD and \(\Delta\)APD are on the same base AD and between the same parallels AD and BC. If the area of \(\Delta\)APD is 12 cm² , then the area of || gm ABCD (in cm²) is:

1

(a)

6

(b)

12

(c)

18

(d)

24

In the figure, ABCD is a parallelogram in which DC = 6 cm and \(AE\bot DC\), AE = 4 cm. The area of (\(\Delta\)DCF) is equal to:

1

(a)

24 cm²

(b)

10 cm²

(c)

12 cm²

(d)

20 cm²

In the given figure, O is the centre of the circle. \(\angle AOB=\angle COD=50°\) and CD = 5 cm then AB is equal to:

1

(a)

2.5 cm

(b)

10cm

(c)

\(\frac { 10 }{ 3 } \) cm

(d)

5 cm

In the given figure, O is the centre of the circle. \(\Delta AOB\) is equilateral. CD = AB, then \(\angle COD=\)

1

(a)

30°

(b)

45°

(c)

60°

(d)

90°

The length of a chord of a circle is 16 cm and its distance from the centre is 6 cm. The measure of the radius of the circle is

1

(a)

6 cm

(b)

8 cm

(c)

10 cm

(d)

12 cm.

To determine a unique circle, the number of points required is:

1

(a)

1

(b)

2

(c)

3 non collinear points

(d)

3 collinear points

In the adjacent figure, what is the relation between AB and CD?

1

(a)

AB > CD

(b)

AB < CD

(c)

AB = CD

(d)

AB = 2CD

In the figure, AOB is a diameter of the semicircle. If \(\angle A=60°\) , then \(\angle B\) is equal

1

(a)

60°

(b)

30°

(c)

50°

(d)

40°

In the given figure, A, B, C and D are points on the circle such that \(\angle ACB=40°\) and \(\angle DAB=60°\),the measure of \(\angle DBA\) is

1

(a)

70°

(b)

80°

(c)

60°

(d)

100°

In the following figure, ABCD is a cyclic quadrilateral whose side AD is a diameter of the circle and the point O is the centre of the circle. If \(\angle OCD=50°\) , then the measure of \(\angle ABC\) is

1

(a)

100°

(b)

120°

(c)

110°

(d)

130°

Area of a triangle is 60 cm².Its base is 15 cm.Its altitude is

1

(a)

30 cm

(b)

4 cm

(c)

8 cm

(d)

10 cm

Side of an equilateral triangle is 4 cm. Its area is

1

(a)

\(4\sqrt { 3 } \) cm²

(b)

\(\frac { \sqrt { 3 } }{ 4 } \) cm²

(c)

\(\sqrt { 3 } \) cm²

(d)

\(2\sqrt { 3 } \) cm²

The sides of a triangle are 7 cm, 24 cm, and 25 cm.Its area is

1

(a)

168 cm²

(b)

84 cm²​​​​​​​

(c)

87.5 cm²​​​​​​​

(d)

300 cm²​​​​​​​

Find the area of a quadrilateral whose one diagonal is 8 cm and the sum of perpendiculars from vertices is 10 cm.

1

(a)

20 cm²

(b)

40 cm²

(c)

80 cm²

(d)

160 cm²

Find the perimeter of the triangle whose sides are 17 cm, 33 cm, and 20 cm.

1

(a)

70 cm

(b)

50 cm

(c)

53 cm

(d)

37 cm

The sides of a triangular field are in the ratio 3:4:5.The perimeter of the triangular field is 144 m.Find the longest side of the field.

1

(a)

15 m

(b)

30 m

(c)

60 m

(d)

90 m

1 hectare = 

1

(a)

10 m²

(b)

100 m²

(c)

1000 m²

(d)

10000 m²

If the area of a square is 625 ares, then its perimeter is

1

(a)

250 m

(b)

500 m

(c)

1000 m

(d)

25 m

Which of the following is a plane figure?

1

(a)

Cone

(b)

Square

(c)

Cylinder

(d)

Cube.

Identify the wrong statement of the following:

1

(a)

A square can be drawn on our notebook.

(b)

A circle can be drawn on the blackboard.

(c)

A rectangle can be drawn on a piece of paper.

(d)

A triangle cannot be drawn on a wall.

The number of edges of a cube are

1

(a)

6

(b)

8

(c)

12

(d)

16.

The lateral surface area of a cube of side a is

1

(a)

4a²

(b)

6a²

(c)

3a²

(d)

2a².

If the edges of a cuboid are l, b and h respectively, then the total surface area of the cuboid is

1

(a)

2(lb + bh + hl)

(b)

lbh

(c)

2(l + b)h

(d)

none of these.

The lateral surface area of a cuboid of length l, breadth b and height h is

1

(a)

2(lb + bh + hl)

(b)

2(l + b)h

(c)

lbh

(d)

none of these.

A brick measures 25 cm \(\times\) 12 cm \(\times\) 10 cm. Its surface area is

1

(a)

670 cm²

(b)

1340 cm²

(c)

3000 cm²

(d)

1500 cm²

The dimensions of a box are 1 m, 80 cm and 50 cm. The area of its four walls is

1

(a)

6000 cm²

(b)

12000 cm²

(c)

18000 cm²

(d)

24000 cm²

The area of the four walls of a room is 300 m². Its length and height are 15 m and 6 m respectively. Find its breadth. 

1

(a)

10 m

(b)

5 m

(c)

20 m

(d)

15 m

The area of the four walls of a room is 80 cm² and its height is 4 m. Then, the perimeter of the floor of the room is

1

(a)

16 m

(b)

5 m

(c)

20 m

(d)

10 m

'Heights of 20 students of your class' from

1

(a)

Primary data

(b)

Secondary data

(c)

Useless data

(d)

Fictitious data

Two consecutive class marks of a distribution are 52 and 57. Then the class size is:

1

(a)

2.5

(b)

5

(c)

54.5

(d)

109

The marks of some students are given below. Find the mode of marks.

Marks	Number of students
10	2
20	8
30	16
40	26
50	20
60	16
70	7
80	4

1

(a)

60

(b)

50

(c)

30

(d)

40.

If the mode of the given data 16,18,17,16,18,x,19,17,14 is 18, then the value of x will be:

1

(a)

16

(b)

17

(c)

18

(d)

19

The mean of 3,4,5,6,7 is

1

(a)

7

(b)

6

(c)

5

(d)

4

What is the number of outcomes when a coin is tossed?

1

(a)

1

(b)

2

(c)

4

(d)

6

The sum of probabilities of an event A and event, not A is equal to:

1

(a)

0

(b)

1

(c)

-1

(d)

2

The probability P(E) of an event E is:

1

(a)

P(E)=0

(b)

P(E)=1

(c)

\(0\ge p(E)>1\)

(d)

\(0\le p(E)\le 1\)

In an experiment, a coin is tossed 500 times.If a head up 280 times, then the probability of getting a tail is:

1

(a)

\(\frac { 14 }{ 25 } \)

(b)

\(\frac { 11 }{ 25 } \)

(c)

\(\frac { 13 }{ 25 } \)

(d)

\(\frac { 19 }{ 25 } \)

In 1000 lottery tickets there are 5 prize winning tickets. Then the probability of winning a prize if a person buys one ticket will be:

1

(a)

\(\frac { 1 }{ 200 } \)

(b)

\(\frac { 1 }{ 500 } \)

(c)

\(\frac { 1 }{ 1000 } \)

(d)

\(\frac { 1 }{ 20 } \)

In a survey of 350 women, 132 were found to be working. If a woman is selected at random, the probability that she is not working is:

1

(a)

\(\frac { 66 }{ 175 } \)

(b)

\(\frac { 109 }{ 175 } \)

(c)

\(\frac { 43 }{ 175 } \)

(d)

1

Three coins one tossed simultaneously 600 times with the following frequencies of different outcomes:

Outcome	Frequency
3 heads	150
2 heads	200
1 head	100
no head	150

The probability of getting 3 heads is

1

(a)

\(\frac { 1 }{ 2 } \)

(b)

\(\frac { 1 }{ 3 } \)

(c)

\(\frac { 1 }{ 4 } \)

(d)

\(\frac { 1 }{ 5 } \)

Three coins one tossed simultaneously 600 times with the following frequencies of different outcomes:

Outcome	Frequency
3 heads	150
2 heads	200
1 head	100
no head	150

The probability of getting 1 head is

1

(a)

\(\frac { 1 }{ 6 } \)

(b)

\(\frac { 1 }{ 4 } \)

(c)

\(\frac { 1 }{ 3 } \)

(d)

\(\frac { 1 }{ 2 } \)

Three coins were tossed 30 times simultaneously. Each time the number of heads occurring was noted down as follows:
0 1 2 2 1 2
3 1 3 0 1 3
1 1 2 2 0 1
2 1 3 0 0 1
1 2 3 2 2 0
Find the probability of getting 3 heads is

1

(a)

\(\frac { 1 }{ 2 } \)

(b)

\(\frac { 1 }{ 3 } \)

(c)

\(\frac { 1 }{ 4 } \)

(d)

\(\frac { 1 }{ 6 } \)

In a medical examination of students of a class, the following blood groups are recorded:

Blood group	No.of students
A	10
AB	13
B	12
O	5

A student is selected at random from the class. The probability that a student has blood group 'B' is:

1

(a)

\(\frac { 1 }{ 4 } \)

(b)

\(\frac { 13 }{ 40 } \)

(c)

\(\frac { 3 }{ 10 } \)

(d)

\(\frac { 1 }{ 8 } \)