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vaishali learning hub coaching institute class test

Total questions: 200

Worksheet time: 3hrs 51mins

Name
Class
Date
1.

In torches, search lights and headlights of vehicles the bulb is placed

a)

between the pole and the focus of the reflector

b)

very near to the focus of the reflector

c)

between the focus and centre of curvature of the reflector

d)

at the centre of curvature of the reflector

2.

A full length image of a distant tall building can definitely be seen by using

a)

Concave mirror

b)

Convex mirror

c)

Plane mirror

d)

both concave as well as plane mirror

3.

Rays from Sun converge at a point 15 cm in front of a concave mirror. Where should an object be placed so that size of its image is equal to the size of the object?

a)

15 cm in front of the mirror

b)

30 cm in front of the mirror

c)

between 15 cm and and 30 cm in front of the mirror

d)

more than 30 cm in front of the mirror

4.

Magnification produced by a rear view mirror fitted in vehicles Is

a)

Less than one

b)

More than one

c)

Equal to one

d)

can be more than or less than one depending upon the position of the object in front of it.

5.

A light ray enters from medium A to medium B as shown in figure. The refractive index of medium B relative to A will be

a)

Greater than Unity

b)

Less than Unity

c)

Equal to Unity

d)

Zero

6.

Under which of the following conditions a concave mirror can form an image larger than the actual object?

a)

When the object is kept at a distance equal to its radius of curvature

b)

When object is kept at a distance less than its focal length

c)

When object is placed between the focus and centre of curvature

d)

When object is kept at a distance greater than its radius of curvature

7.

A 10 mm long awl pin is placed vertically in front of a concave mirror. A 5 mm long image of the awl pin is formed at 30 cm in front of the mirror. The focal length of this mirror is

a)

-30cm

b)

-20cm

c)

-40cm

d)

-60cm

8.

Which of the following can make a parallel beam of light when light from a point source is incident on it?

a)

Concave mirror as well as convex lens

b)

Convex mirror as well as concave lens

c)

Two plane mirrors placed at 90° to each other

d)

Concave mirror as well as concave lens

9.

The value of x for which 3x-1and 2x+4are equal is

a)

-3

b)

1

c)

3

d)

5

10.

The digit in the ten's place of a two digit number is 2 more than the digit in unit's place.Let the unit'splace digit is x.Then the number is

a)

11x+2

b)

2x+20

c)

11x+20

d)

10x+20

11.

Linear equation in one variable has

a)

Only one term with variable

b)

One variable with power >1

c)

More than one variable with any power

d)

One variable with power 1

12.

The shifting of numbers or variables from one side to another side is called

a)

Distribution

b)

Transition

c)

Transposition

d)

Transformation

13.

A linear equation has how many solutions?

a)

0

b)

1

c)

2

d)

More than 2

14.

Construct linear equation for the following statement:

Two numbers are in the ratio 5 : 7 and sum of the numbers is 120

a)

5x + 7x = 120

b)

5x - 7x =120

c)

x ⁄ 5 + x ⁄ 7 = 120

d)

None of the above

15.

Identify two consecutive multiples of 3 whose sum is 57.

a)

24 and 33

b)

27 and 30

c)

21 and 36

d)

None of the above

16.

Identify the linear equation in two variables from the given equations

a)

2x = 4x + 3

b)

x - 3y = 6

c)

4x - 4 + 8x = 5

d)

None of the above

17.

Write 'True' or 'False'

An algebraic statement becomes an equation when it equals something

a)

FALSE

b)

TRUE

18.

2x - 1/2 = 3, x = ?

a)

-3/4

b)

3/4

c)

-7/4

d)

7/4

19.

If 2x + 4 = x - 5, then x = ______

a)

9

b)

-9

c)

1

d)

-1

20.

Solve y - 3 = 10 then y=?

a)

y = 13

b)

y = 7

c)

y = 6

d)

None of the above

21.

The number of solutions to a linear equation is _____

a)

1

b)

2

c)

3

d)

None of the above

22.

Which of the following is not a linear equation?

a)

3x - 1 = - 2x

b)

xy - 3 = x

c)

x + 2y = 10

d)

(x-5) ⁄ 7 = (x-2) ⁄ 3

23.

Write 'True' or 'False' 
The solution of a linear equation is always an integer

a)

TRUE 

b)

FALSE

24.

Number of terms in a polynomial p(x)=x³-4x+2 is

a)

1

b)

4

c)

2

d)

3

25.

The constant term of the polynomial p(x)= x⁶-3x⁷+8x⁵+4x-5 is

a)

1

b)

-3

c)

8

d)

-5

26.

The remainder when 2x² +3x +1 is divided by x+2 is

a)

15

b)

-15

c)

3

d)

-3

27.

The number of zeros of the polynomial 2x +1 is

a)

0

b)

1

c)

2

d)

3

28.

The zeroes of the polynomial p(x) = x² - 3

a)

1,3

b)

1,-3

c)

√3 ,1

d)

√3 , - √3

29.

If ∝ , β are the zeroes of the polynomial p(x)= x² + x +1 then 1/a + 1/b =

a)

-1

b)

1

c)

0

d)

none of these

30.

x-x³ is a

a)

linear polynomial

b)

binomial

c)

cubic polynomial

d)

quadratic polynomial

31.

How many zeroes a constant polynomial has ?

a)

1

b)

2

c)

3

d)

0

32.

If fourth degree polynomial is divided by a quadratic polynomial, then the degree of the remainder is

a)

1

b)

2

c)

3

d)

less than or equal to 1

33.

If graph of the quadratic polynomial

 ax2+bx+cax^2+bx+c  cuts positive direction of y-axis, then what is the sign of c

a)

positive

b)

negative

c)

positive and negative both

d)

neither positive nor negative

34.

If  f(x)=2x3−3x+4 f\left(x\right)=2x^3-3x+4\   , then f(x) + f(-x) is

a)

4

b)

6

c)

0

d)

8

35.

Five years ago, age of Sunita was thrice the age of Vineet. After 10 years, Sunita’s age will be twice the age of Vinita, what is the present age of Sunita

a)

50 years

b)

20 years

c)

70 years

d)

30 years

36.

A constant polynomial has degree

a)

0

b)

1

c)

2

d)

3

37.

If α, β and γ are the zeros of the cubic polynomial ax3+bx2+cx+d then αβγ is equal to

a)

-b/a

b)

-d/a

c)

-a/b

d)

-a/d

38.

A quadratic polynomial whose zeros are -3 and 4 are

a)

x2-x+12

b)

x2 +x+12

c)

x2/2-x/2-6

d)

2x2+2x-24

39.

The zeros of the quadratic polynomial x2 +99x+127 are

a)

Both Positive

b)

Both Negative

c)

One Positive and one negative

d)

Both Equal

40.

Sum of the zeros of the polynomial x2+7x+10 are

a)

7

b)

-7

c)

10

d)

-10

41.

If one of the zeros of quadratic polynomial (k-1)x2+kx+1 is -3, then the value of k is

a)

4/3

b)

-4/3

c)

2/3

d)

-2/3

42.

Is x = -3 vertical or horizontal?

a)

vertical

b)

horizontal

c)

neither

43.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

44.

The solution of equation x-2y = 4 is:

a)

a. (0,2)

b)

b. (2,0)

c)

c. (4,0)

d)

d. (1,1

45.

Equation of the line parallel to x-axis and 6 units above the origin is:

a)

a) x = 6

b)

b) x = –6

c)

c)y = 6

d)

d)y = –6

46.

The graph of which of the following equations passes through the origin?

a)

(i) y = 2x + c

b)

(ii) y = 2x – c

c)

(iii) y = 2x

47.

Is (3, 2) a solution of x + y = 6?

a)

yes

b)

no

c)

may be, cannot judge.

d)

none of the above

48.

What is a Linear equation

a)

Equation with degree 1

b)

Equation with degree 3

c)

Equation with degree 7

d)

Equation with degree 2

49.

How many solutions does a Linear equation in two variable would have?

a)

Only one

b)

Two solutions

c)

Five solutions

d)

Infinity

50.

Find the value of a, if x=1, y=2 is a solution of 4x+8y=a

a)

a=0

b)

a=9

c)

a=16

d)

a=20

51.
The point of the form (a , -a) always lies on the line____
a)
x = a
b)
y = - a
c)
y = x
d)
x + y = 0
52.
The graph of the linear equation in two variables y = mx is _____
a)
a line parallel to x - axis 
b)
a line parallel to y - axis 
c)
a line passes through the origin
d)
not a straight line
53.
The graph of ax + by + c = 0 is _____
a)
A straight line parallel to x - axis
b)
A straight line parallel to y - axis 
c)
A general straight line
d)
A line in the 2nd and 3rd quadrant
54.
How many linear equations in x and y can be satisfied by x = 1 and y = 2
a)
Only one
b)
Two
c)
Infinitely many
d)
Three
55.
If we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation____
a)
Changes
b)
Remains the same 
c)
Changes in case of multiplication only
d)
Changes in case of division only
56.
The graph of the line x = 6 is a line___
a)
parallel to x -axis at a distance of 6 untis from origin
b)
parallel to y-axis at a distance of 6 units from the origin
c)
making an intercept 6 on the x-axis
d)
making an intercept 6 on both the axis
57.
The equation x = 7 in two variables can be written as ____
a)
 1.x + 1 .y = 7
b)
1.x + 0.y = 7
c)
0.x + 1. y = 7
d)
0.x + 0.y = 7
58.
The graph of the linear equation 2x + 3y = 6 cuts the y - axis at the point _____
a)
(2 ,0)
b)
(0 ,3)
c)
(3 ,0)
d)
(0, 2)
59.
If (2 ,0) is a solution of the linear equation 2x + 3y = k, then the value of k is_____
a)
4
b)
5
c)
6
d)
2
60.
The equation y = 3x + 5 has _____
a)
A unique solution 
b)
Only two solutions
c)
Three solutions 
d)
Infinitely many solutions 
61.
If the lines given by 3x + 2ky = 2 and 2x + 5y + 1 = 0 are parallel, then the value of k is 
a)
–5/4
b)
2/ 5 
c)
15/4
d)
3/2
62.
The pair of equations x = a and y = b graphically represents lines which are  
a)
parallel 
b)
 intersecting at (b, a)
c)
 coincident
d)
 intersecting at (a, b)
63.
For which value(s) of k will the pair of equations kx + 3y = k – 3 12x + ky = k have no solution?
a)
6
b)
−6
c)
± 6
d)
4
64.
The graph of the line x = 6 is a line___
a)
parallel to x -axis at a distance of 6 untis from origin
b)
parallel to y-axis at a distance of 6 units from the origin
c)
making an intercept 6 on the x-axis
d)
making an intercept 6 on both the axis
65.
If we multiply or divide both sides of a linear equation with a non-zero number, then the solution of the linear equation____
a)
Changes
b)
Remains the same 
c)
Changes in case of multiplication only
d)
Changes in case of division only
66.
How many linear equations in x and y can be satisfied by x = 1 and y = 2
a)
Only one
b)
Two
c)
Infinitely many
d)
Three
67.

There are 50 donkeys and chickens on a farm. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has?

a)

d + c = 174

4d + 2c = 50

b)

d + c = 50

4d + 2c = 174

c)

d + c = 50

2d + 4c = 174

d)

d + c = 174

2d + 4c = 50

68.
The value of c for which the pair of equations cx – y = 2 and 6x – 2y = 3 will have infinitely many solutions is 
a)
3 
b)
– 3 
c)
–12 
d)
no value
69.
The pair of equations x + 2y + 5 = 0 and –3x – 6y + 1 = 0 have  
a)
 a unique solution
b)
exactly two solutions
c)
infinitely many solutions
d)
No solution
70.
Graphically, the pair of equations 6x – 3y + 10 = 0 , 2x – y + 9 = 0 represents two lines which are
a)
intersecting at exactly one point
b)
intersecting at exactly two points.
c)
coincident. 
d)
 parallel.
71.

Which of the following options is the standard form of the linear equation 7x – 21 + 2y = 0?

a)

21 + 2y + 7x = 0

b)

2y + 7x – 21 = 0

c)

7x – 21 + 2y = 0

d)

7x + 2y – 21 = 0

72.

If we multiply or divide both side of a linear equations with a non-zero number,Then the solution of the linear equation:

a)

Changes

b)

Remains the same

c)

Changes in case of multiplication only

d)

Changes in case of division only

73.

The equation x = 7, in two variables, can be written as

a)

1. x + 1. y = 7

b)

1. X + 0. y = 7

c)

0. x + 1. y = 7

d)

0.x + 0. Y = 7

74.

If (2, 0) is a solution of the linear equation 2x + 3y = k, then the value of k is.

a)

4

b)

6

c)

5

d)

2

75.

Which of the following expressions is a linear expression in one variable?

a)

x2 + 1

b)

x + 2y

c)

x3

d)

7x + 5

76.
Write an equation in Standard Form.
A store sells t-shirts for $12 each and sweatshirts for $15 each. You plan to spend $120 on t-shirts and sweatshirts.
a)
2x + 5y = 120
b)
12x + 15y = 120
c)
12 + 15y = 2x
d)
12x + 15 = 120
77.
Which equation is written in STANDARD form?
a)
y = 1/2x + 2
b)
y - 3 = -5(x + 2)
c)
-7x + 2y = 9
d)
3x + 2 = y
78.

The reason that a degree one polynomial equation ax + by + c = 0 is called a linear equation is that

a)

It has infinitely many solution

b)

The geometrical representation is a straight line

c)

It has two variables

d)

Both a and b

79.

A linear equation in two variables

a)

Has a unique solution

b)

Has two solutions

c)

Has infinitely many solutions

d)

two or four solutions

80.

The geometrical representation of a linear equation

a)

Straight line

b)

Curve

c)

Parabola

d)

Either (b) or (c)

81.

Find the solutions of x + 2y = 6
[ more than one option ]

a)

(2,2)

b)

(0,3)

c)

(5,4)

d)

(4,1)

e)

(3,2)

82.

An equation of the type _____________ represents a line passing through the orign

a)

x = a

b)

y = mx

c)

y = a

d)

None of the above

83.

Find the solution of 3x-6y=(-48)

a)

2,0

b)

5,3

c)

0,8

d)

2,3

84.

The general form of linear equation in two variable is

a)

ax+bx+c=0

b)

ax+by+c=1

c)

ax+bx+c=1

d)

ax+by+c=0

85.

The graph of x=3 is a line

a)

Parallel to the x-axis

b)

Parallel to y-axis

c)

Data not enough

86.

Find the value of a, if x=1, y=2 is a solution of 4x+8y=a

a)

a=0

b)

a=9

c)

a=16

d)

a=20

87.

The solution of equation x - 2y = 4 is

a)

(0,2)

b)

(2,0)

c)

(4,0)

d)

(1,1)

88.

Which of these equation proves that x=5, y=18?

a)

3x-y=2

b)

y-x=0

c)

3y-5x=29

d)

2x-5y=18

89.

How many solutions does a Linear equation in two variable would have?

a)

Only one

b)

Two solutions

c)

Five solutions

d)

Infinity

90.

What is a Linear equation

a)

Equation with degree 1

b)

Equation with degree 3

c)

Equation with degree 7

d)

Equation with degree 2

91.
Find LCM of 6ab and 9abp
a)
18ab
b)
18abp
c)
6ab
d)
6abp
92.

A ……… is a proven statement used for proving another statement.

a)

Axiom

b)

Theorem

c)

Lemma

d)

Algorithm

93.

The HCF of two numbers is 23 and their LCM is 1449. If one of the numbers is 161, then the other number is

a)

23

b)

207

c)

1449

d)

none of these

94.

The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is

a)

13

b)

65

c)

875

d)

1750

95.

The decimal expansion of the rational number  145871250\frac{14587}{1250}  will terminate after

a)

 one decimal place 

b)

two decimal place 

c)

three decimal place 

d)

four decimal place 

96.

Write the HCF of smallest composite number and smallest prime number

a)

1

b)

2

c)

3

d)

4

97.

The ratio between the LCM and HCF of 5, 15, 20 is:

a)

9:1

b)

4:3

c)

11:1

d)

12:1

98.

The factors of 800

a)

2^6.5^2

b)

2^5.5^3

c)

2^5.5^2

99.

LCM of 396,1080

a)

36

b)

11880

c)

1080

100.

Euclid Division Lemma is used to find

a)

HCF

b)

LCM

c)

Both HCF and LCM

101.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

102.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

103.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

104.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

105.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

106.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

107.
List all the classifications of numbers that apply to the real number. 
436
a)
Irrational 
b)
Rational, Integer, Whole
c)
Natural, Whole, Integer, Rational
d)
Rational, Integer
108.
A repeating decimal and a terminating decimal which of the following in common.
a)
both are whole numbers
b)
both are irrational
c)
both are rational
d)
they have nothing in common
109.
Given the following radical, decide if it is rational or irrational:
√121
a)
Rational
b)
Irrational
110.
The square root of 57 is ...
a)
rational 
b)
irrational 
111.
Is √2 Irrational?
a)
Yes
b)
No
112.
Zero is a ___________.
a)
whole number
b)
natural number
c)
whole number, integer, and rational
d)
irrational
113.
Is 8.27 rational or irrational?
a)
Rational
b)
Irrational
c)
Both
d)
None of the above
114.
Based on the chart, how many subsets are within the integers set?
a)
1
b)
2
c)
3
d)
none
115.

Which type of image formed by plane mirror?

a)

Same size

b)

Erect

c)

Virtual

d)

All of the above

116.

Real image is always

a)

Erect

b)

Real

c)

Inverted

d)

Virtual

117.

A ray of light is incident on a plane mirror at an angle of 30°.what is the angle of refrection?

a)

10°

b)

20°

c)

30°

d)

40°

118.

When an obj is placed at focus then which type of image is formed?

a)

Real

b)

Virtual

c)

Inverted

d)

Both (1)and (3)

119.

Which equation related to ohm's law?

a)

V=IR

b)

R=V/I

c)

I=V/R

d)

All of the above

120.

Which mirror has a wider field of view?

a)

Convex

b)

Concave

c)

Plane

121.

If an object is placed at a distance of 10 cm in front of a plane mirror how far would it be from its image.

a)

10cm

b)

20cm

c)

30cm

d)

40cm

122.

When light is available which image is formed.

a)

Real

b)

Virtual

c)

Erect

123.

Reflection of light have___laws.

a)

1

b)

2

c)

3

d)

4

124.

____ is one of the best reflectors of light.

a)

Gold

b)

Silver

c)

Brass

d)

Aluminium

125.

If ∝ , β are the zeroes of x² +7x +10 then ∝β

a)

-7

b)

7

c)

10

d)

-10

126.

If ∝ , β are the zeroes of tue polynomial f(x)= x² + x +1 then (∝+1)(β+1)

a)

∝β + ∝ +β

b)

∝ +β +1

c)

3

d)

-1

127.

The degree of the polynomial (x+1)(x+2)(x+3) is

a)

3

b)

4

c)

2

d)

1

128.

2x+1 is

a)

linear polynomial

b)

quadratic polynomial

c)

cubic polynomial

d)

none of these

129.

If p(x)= 2x+1 then p(0)=

a)

2

b)

1

c)

3

d)

0

130.

The co-efficient of x³ in the polynomial p(x)= 2-x³+x²

a)

2

b)

-1

c)

1

d)

3

131.

The degree of the polynomial p(x)= x⁶-3x⁷+8x+5

a)

6

b)

7

c)

5

d)

8

132.

The variable in the polynomial p(x)=3xyz

a)

x

b)

y

c)

z

d)

x,y,z

133.

which of the following expressions are polynomial

a)

4x²+5x-2

b)

y²-8

c)

5

d)

all above

134.

THE LINEAR EQUATION IN A GRAPH IS

a)

horizontal line

b)

Straight line

c)

Vertical line

d)

Perabola

135.

Alpha + beta =

a)

B/A

b)

-A/B

c)

-B/A

d)

A/B

136.

POLYNOMILAS OF DEGREE 3 IS CALLED

a)

linear polynomial

b)

Cubic polynomial

c)

Quadric polynomial

d)

Multinomial

137.
Eason is making activity baskets to donate to charity.  She has 12 coloring books and 36 crayons.  What is the greatest number of baskets she can make if each type of toy is equally distributed among the baskets?
a)
2
b)
12
c)
36
d)
6
138.

What is Euclid’s division Lemma?

a)

a=Bq+r

b)

Q=a-Rb

c)

a=br+q

d)

a=bq

139.

In every case, LCM is a multiple of HCF

a)

True

b)

False

c)

Maybe

140.
Find LCM of 6ab and 9abp
a)
18ab
b)
18abp
c)
6ab
d)
6abp
141.
Which of the following numbers is irrational?
a)
√8
b)
¾
c)
2
d)
-1.325
142.

The cube of every number is of the form-

a)

2m,2m+1,2m+2

b)

3m,3m+1,3m+2

c)

3m,3m+1,3m+8

d)

None of these

143.

Every number is of the form-

a)

2m

b)

2m+1

c)

Both the above options

d)

None of these

144.

22/7 is

a)

Rational number

b)

Irrational numbers

145.

Write 0.323232..... in rational form

a)

32/9

b)

32/100

c)

31/99

d)

32/99

146.

Rational numbers are written in the form of p/q. How many common factors can they have?

a)

2

b)

1

c)

Infinite

d)

None

147.

The factors of 800

a)

2^6.5^2

b)

2^5.5^3

c)

2^5.5^2

148.

LCM of 396,1080

a)

36

b)

11880

c)

1080

149.

Two tanks contain 504 and 735 litres of milk respectively. Find the maximum capacity of a container which can measure the milk of either tank an exact number of times.

(a)  

150.

Product of two numbers is equal to product of

(a)  

151.

HCF of (126,156)

(a)  

152.

Euclid Division Lemma is used to find

a)

HCF

b)

LCM

c)

Both HCF and LCM

153.

If the HCF of 55 and 99 is expressible in the form 55m – 99, then the value of m is

a)

1

b)

2

c)

3

d)

4

154.

The decimal expansion of the rational number  145871250\frac{14587}{1250}  will terminate after

a)

 one decimal place 

b)

two decimal place 

c)

three decimal place 

d)

four decimal place 

155.

Write the HCF of smallest composite number and smallest prime number

a)

1

b)

2

c)

3

d)

4

156.

Three sets of physics, chemistry and mathematics books have to be stacked in such a way that all the books are stored topic wise and the number of books in each stack is the same. The number of physics books is 192, the number of chemistry books is 240 and the number of mathematics books is 168. Determine the number of stacks of physics, chemistry and mathematics books

a)

8,10,7

b)

8,8,8

c)

7,10,8

d)

10,8,7

157.

What will be the least possible number of the planks, if three pieces of timber 42 m, 49 m and 63 m long have to be divided into planks of the same length?

a)

20

b)

21

c)

22

d)

23

158.

Two alarm clocks ring their alarms at regular intervals of 50 seconds and 48 seconds. If they first beep together at 12 noon, at what time will they beep again for the first time?

a)

12:20

b)

12:11

c)

12:12

d)

none of these

159.

The ratio between the LCM and HCF of 5, 15, 20 is:

a)

9:1

b)

4:3

c)

11:1

d)

12:1

160.

If a and b are two positive integers such that a = 14b. Find the HCF of a and b.

a)

a

b)

b

c)

14b

d)

14a

161.

Find the greatest number of 5 digits, that will give us remainder of 5, when divided by 8 and 9 respectively.

a)

99921

b)

99931

c)

99941

d)

99951

162.

For positive integers a and 3, there exist unique integers q and r such that a = 3q + r, where r must satisfy:

a)

0 ≤ r < 3

b)

1 < r < 3

c)

0 < r < 3

d)

0 < r ≤ 3

163.

3 × 5 × 7 + 7 is a composite number

a)

true

b)

false

164.

“The product of two consecutive positive integers is divisible by 2”. Is this statement true or false?

a)

true

b)

false

165.

The decimal expansion of the rational number  145871250\frac{14587}{1250} will terminate after:

a)

one decimal place 

b)

two decimal places

c)

three decimal places

d)

four decimal places

166.

Which of the following is not the graph of a quadratic polynomial?

a)
b)
c)
d)
167.

The zeroes of the quadratic polynomial x2 + 99x + 127 are

a)

both positive

b)

both negative

c)

one positive and one negative

d)

both equal

168.

If the zeroes of the quadratic polynomial x2 + (a + 1) x + b are 2 and –3, then

a)

a = –7, b = –1

b)

a = 5, b = –1

c)

a = 2, b = – 6

d)

a = 0, b = – 6

169.

The number of polynomials having zeroes as –2 and 5 is

a)

1

b)

2

c)

4

d)

more than 3

170.

A quadratic polynomial, whose zeroes are –3 and 4, is

a)

x2 – x + 12

b)

x2 + x + 12

c)

2x2 + 2x –24

d)

x2 - x –12

171.

If one of the zeroes of the quadratic polynomial (k–1) x2 + k x + 1 is –3, then the value of k is

a)

43\frac{4}{3}

b)

−43-\frac{4}{3}

c)

23\frac{2}{3}

d)

−23-\frac{2}{3}

172.

If one zero of the quadratic polynomial x2 + 3x + k is 2, then the value of k is

a)

10

b)

-10

c)

5

d)

-5

173.

If two positive integers a and b are written as a = x3y2 and b = xy3 ; x, y are prime numbers, then HCF (a, b) is

a)

xy

b)

xy2

c)

x3y3

d)

x2y2

174.

The largest number which divides 70 and 125, leaving remainders 5 and 8, respectively, is

a)

13

b)

65

c)

875

d)

1750

175.

The values of the remainder r, when a positive integer a is

divided by 3 are 0 and 1 only.

a)

true

b)

false

176.

is the given pair of numbers co-prime: 847, 2160

a)

true

b)

false

177.

The least number that is divisible by all the numbers from 1 to 10 (both inclusive) is

a)

10

b)

100

c)

504

d)

2520

178.

If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is

a)

4

b)

2

c)

1

d)

3

179.

For some integer q, every odd integer is of the form

a)

q

b)

q + 1

c)

2q

d)

2q + 1

180.

For some integer m, every even integer is of the form

a)

m

b)

m + 1

c)

2m

d)

2m + 1

181.

Euclid’s division lemma states that for two positive integers a and b, there exist unique integers q and r such that a = bq + r, where r must satisfy

a)

1 < r < b

b)

0 < r ≤ b

c)

0 ≤ r < b

d)

0 < r < b

182.

The decimal expansion of the rational number
 3322⋅5\frac{33}{2^2\cdot5}  will terminate after 

a)

one decimal place

b)

two decimal places

c)

three decimal places

d)

more than 3 decimal places

183.

in Euclid’s algorithm value of r

a = bq + r

a)

0 ≤ r < a

b)

0 < r < b

c)

0 ≤ r > b,

d)

0 ≤ r < b

184.

HCF(6,20) = 2

then LCM(6,20) = ?

a)

2

b)

60

c)

120

d)

80

185.

Euclid’s division algorithm = ...

a)

a = bq + r

b)

a = br + q

c)

a = b +q + r

d)

ab = q + r

186.

HCF(a,b) x LCM(a,b) =

a)

a x a

b)

a + b

c)

a x b

d)

2a x 2b

187.

prime factors of 60 is

a)

2 x 3 x 10

b)

2 x 2 x 15

c)

2 x 2 x 3 x 5

d)

2 x 5 x 6

188.

The product of a non-zero number and an irrational number is:

a)

always irrational

b)

always rational

c)

rational or irrational

d)

0

189.

 If two positive integers a and b are written as a p3q2  and

 b = pq3; p, q are prime numbers, then HCF (a, b) is:

a)

pq                                                

b)

 pq2pq^2  

c)

 p3q2p^3q^2  

d)

 p2qp^2q  

190.

Every point on the number line is of the form √k, where k is a natural number.

a)

true

b)

false

191.

The number of rational numbers between any two consecutive whole numbers is ____.

a)

one

b)

two

c)

three

d)

infinite

192.

The square root of a positive integer is a rational number.

a)

true

b)

false

193.

The difference of an irrational number and a rational number is an irrational number.

a)

true

b)

false

194.

statement 1st : 22/7 is a rational number.
statement 2nd :  π is a rational number.

a)

both statements are true

b)

both statements are false

c)

1st is true and 2nd is false

d)

1st is false and 2nd is true 

195.

The value of π is approximately equal to 22/7.

a)

true

b)

false

196.

The decimal expansion of 144/400 is ____

a)

non Terminating

b)

non terminating recurring

c)

non terminating non recuriing

d)

terminating

197.

Which of the following irrational numbers lies between

3 and 5?

a)


7\sqrt{7}

b)

11\sqrt{11}

c)

34\sqrt{34}

d)

0.16\sqrt{0.16}

198.

Which of the following decimal expansion is irrational :

a)


2.345‾2.3\overline{45}

b)

2.110110011.............2.110110011.............

c)

12.3612.36

d)

225\sqrt{225}

199.

The rational number among the following is _______.

a)


44\sqrt{44}

b)

122\sqrt{122}

c)

121\sqrt{121}

d)

32\sqrt{32}

200.

Non-terminating and non-recurring decimals are called irrational numbers.

a)

True

b)

False

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