Free Printable RUBI THERESA- 9TH SAMACHEER MATHEMATICS- 1 MARKS

1.

Which of the following is correct?

a)

$\left\{7\right\}\ \in\left\{1,2,3,4,5,6,7,8,9,10\right\}$

b)

$7\ \in\ \left\{1,2,3,4,5,6,7,8,9,10\right\}$

c)

$7\ \notin\ \left\{1,2,3,4,5,6,7,8,9,10\right\}$

d)

$\left\{7\right\}\ \not\subseteq\left\{1,2,3,4,5,6,7,8,9,10\right\}$

2.

The set $P=\left\{\ x\ |\ x∈ℤ,\ -1<x<1\right\}$ is a

a)

Singleton set

b)

Power set

c)

Null set

d)

Subset

3.

If $U=\left\{x|\ x∈ℕ,\ x<10\right\}$ and $A=\left\{x|\ \ x∈ℕ,\ 2\le x<6\right\}$ then (A′)′ is

a)

{1,6,7,8,9}

b)

{1,2,3,4}

c)

{2,3,4,5}

d)

{ }

4.

If $B\ ⊆\ A$ then $n(A\ ∩\ B)$ is

a)

n(A-B)

b)

n(B)

c)

n(B-A)

d)

n(A)

5.

If A = {x,y,z} then the number of non -empty subsets of A is

a)

8

b)

5

c)

6

d)

7

6.

Which of the following is correct?

a)

∅ ⊆ {a,b}

b)

∅ ∈ {a,b}

c)

{a} ∈ {a,b}

d)

a ⊆ {a,b}

7.

If $A\ \cup B$ = $A\ ∩\ B$ , then

a)

A ≠ B

b)

A = B

c)

A ⊂ B

d)

B ⊂ A

8.

If $B\ -A$ is $B$ , then $A\ \cap B$ is

a)

$A$

b)

$B$

c)

$U$

d)

⊘

9.

From the adjacent diagram $n\left[P\left(A\ \Delta\ B\right)\right]$ is

a)

8

b)

32

c)

16

d)

64

10.

If $n(A)=10$ and $n(B)=15$ , then the minimum and maximum number of elements in $A∩B$ is

a)

10,15

b)

15,10

c)

10,0

d)

0,10

11.

Let $A=\left\{⊘\right\}$ and $B=P\left(A\right)$ , then $A\cap B$ is

a)

$\left\{⊘,\ \left\{⊘\right\}\right\}$

b)

$\left\{⊘\right\}$

c)

$⊘$

d)

$\left\{0\right\}$

12.

In a class of 50 boys, 35 boys play Carrom and 20 boys play Chess then the number of boys play both games is

a)

5

b)

30

c)

15

d)

10

13.

If $U\ =\left\{x:\ x\inℕ\ and\ x<10\right\}$ , $A\ =\left\{1,2,3,5,8\right\}$ and $B=\left\{2,5,6,7,9\right\}$ , then $n\left[\left(A\cup B\right)'\right]$ is

a)

1

b)

2

c)

4

d)

8

14.

For any three sets $P,Q$ and $R$ , $P-\left(Q\cap R\right)$ is

a)

$P-\left(Q\cup R\right)$

b)

$\left(P\cap Q\right)-R$

c)

$\left(P-Q\right)\cup\left(P-R\right)$

d)

$\left(P-Q\right)\cap\left(P-R\right)$

15.

Which of the following is true?

a)

$A\ -B\ =\ A\cap B$

b)

$A\ -B\ =\ B-A$

c)

$\left(A\ \cup B\right)'\ =\ A'\cup B'$

d)

$\left(A\ \cap B\right)'\ =\ A'\cup B'$

16.

If $n\left(A\cup B\cup C\right)\ =100$ , $n\left(A\right)=4x$ , $n\left(B\right)=6x$ , $n\left(C\right)=5x$ , $n\left(A\cap B\right)=20$ , $n\left(B\cap C\right)=15$ , $n\left(A\cap C\right)=25$ and $n\left(A\cap B\cap C\right)=10$ ,then the value of $x$ is

a)

10

b)

15

c)

25

d)

30

17.

For any three sets $A,\ B\ and\ C$ , $\left(A-B\right)\ \cap\left(B-C\right)$ is equal to

a)

A only

b)

B only

c)

C only

d)

∅

18.

If J= Set of three sided shapes, K=Set of shapes with two equal sides and L=Set of shapes with right angle, then $J\cap K\cap L$ is

a)

Set of isosceles triangles

b)

Set of equilateral triangles

c)

Set of isosceles right triangles

d)

Set of right angled triangles

19.

The shaded region in the Venn diagram is

a)

$Z-\left(X\cup Y\right)$

b)

$\left(X\cup Y\right)\ \cap Z$

c)

$Z-\left(X\cap Y\right)$

d)

$Z\cup\left(X\cap Y\right)$

20.

In a city, 40% people like only one fruit, 35% people like only two fruits. 20% people like all the three fruits. How many percentage of people do not like any one of the above three fruits?

a)

5

b)

8

c)

10

d)

15

21.

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

22.

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

23.

Which one of the following, regarding sum of two irrational numbers, is true?

a)

always an irrational number

b)

may be a rational or irrational number

c)

always a rational number

d)

always an integer

24.

Which one of the following has a terminating decimal expansion?

a)

$\frac{5}{64}$

b)

$\frac{8}{9}$

c)

$\frac{14}{15}$

d)

$\frac{1}{12}$

25.

Which one of the following is an irrational number

a)

$\sqrt[]{25}$

b)

$\sqrt[]{\frac{9}{4}}$

c)

$\frac{7}{11}$

d)

$\pi$

26.

An irrational number between 2 and 2.5 is

a)

$\sqrt[]{11}$

b)

$\sqrt[]{5}$

c)

$\sqrt[]{2.5}$

d)

$\sqrt[]{8}$

27.

The smallest rational number by which $\frac{1}{3}$ should be multiplied so that its decimal expansion terminates with one place of decimal is

a)

$\frac{1}{10}$

b)

$\frac{3}{10}$

c)

3

d)

30

28.

If $\frac{1}{7\ }=\ \overline{0.142857}$ then the value of $\frac{5}{7}$ is

a)

$0.\overline{142857}$

b)

$0.\overline{714285}$

c)

$0.\overline{571428}$

d)

$0.714285$

29.

Find the odd one out of the following.

a)

$\sqrt[]{32}\times\sqrt[]{2}$

b)

$\frac{\sqrt[]{27}}{\sqrt[]{3}}$

c)

$\sqrt[]{72}\times\sqrt[]{8}$

d)

$\frac{\sqrt[]{54}}{\sqrt[]{18}}$

30.

$0.\overline{34}+0.3\overline{4}=$

a)

$0.6\overline{87}$

b)

$0.\overline{68}$

c)

$0.6\overline{8}$

d)

$0.68\overline{7}$

31.

Which of the following statement is false?

a)

The square root of 25 is 5 or -5

b)

$\sqrt[]{25}=5$

c)

$-\sqrt[]{25}=-5$

d)

$\sqrt[]{25}=\pm5$

32.

Which one of the following is not a rational number?

a)

$\sqrt[]{\frac{8}{18}}$

b)

$\frac{7}{13}$

c)

$\sqrt[]{0.01}$

d)

$\sqrt[]{13}$

33.

$\sqrt[]{27}+\sqrt[]{12}=$

a)

$\sqrt[]{39}$

b)

$5\sqrt[]{6}$

c)

$5\sqrt[]{3}$

d)

$3\sqrt[]{5}$

34.

If $\sqrt[]{80}=k\sqrt[]{5}$ , then $k$ =

a)

2

b)

4

c)

8

d)

16

35.

$4\sqrt[]{7}\times2\sqrt[]{3}$ =

a)

$6\sqrt[]{10}$

b)

$8\sqrt[]{21}$

c)

$8\sqrt[]{10}$

d)

$6\sqrt[]{21}$

36.

When written with a rational denominator, the expression $\frac{2\sqrt[]{3}}{3\sqrt[]{2}}$ can be simplified as

a)

$\frac{\sqrt[]{2}}{3}$

b)

$\frac{\sqrt[]{3}}{2}$

c)

$\frac{\sqrt[]{6}}{3}$

d)

$\frac{2}{3}$

37.

When $\left(2\sqrt[]{5}-\sqrt[]{2}\right)^2$ is simplified, we get

a)

$4\sqrt[]{5}+2\sqrt[]{2}$

b)

$22-4\sqrt[]{10}$

c)

$8-4\sqrt[]{10}$

d)

$2\sqrt[]{10}-2$

38.

$\left(0.000729\right)^{-\frac{3}{4}}\times\left(0.09\right)^{-\frac{3}{4}}=_{ }$ _______

a)

$\frac{10^3}{3^3}$

b)

$\frac{10^5}{3^5}$

c)

$\frac{10^2}{3^2}$

d)

$\frac{10^6}{3^6}$

39.

If $\sqrt[]{9^x}=\sqrt[3]{9^2}$ , then $x$ =

a)

$\frac{2}{3}$

b)

$\frac{4}{3}$

c)

$\frac{1}{3}$

d)

$\frac{5}{3}$

40.

The length and breadth of a rectangular plot are $5\times10^5$ and $4\times10^4$ metres respectively. Its area is ___________.

a)

$9\times10^1\ m^2$

b)

$9\times10^9\ m^2$

c)

$2\times10^{10}\ m^2$

d)

$20\times10^{20}\ m^2$

41.

If $x^3+6x^2+kx+6\$ is exactly divisible by $\left(x+2\right)$ , then $k=?$

a)

-6

b)

-7

c)

-8

d)

11

42.

The root of the polynomial equation $2x+3=0$

a)

$\frac{1}{3}$

b)

$-\frac{1}{3}$

c)

$-\frac{3}{2}$

d)

$-\frac{2}{3}$

43.

The type of the polynomial $4-3x^3$ is

a)

constant polynomial

b)

linear polynomial

c)

quadratic polynomial

d)

cubic polynomial

44.

If $x^{51}+51$ is divided by $x+1$ , then the remainder is

a)

0

b)

1

c)

49

d)

50

45.

The zero of the polynomial $2x+5$ is

a)

$\frac{5}{2}$

b)

$-\frac{5}{2}$

c)

$\frac{2}{5}$

d)

$-\frac{2}{5}$

46.

The sum of the polynomials $p\left(x\right)=x^3-x^2-2$ , $q\left(x\right)=x^2-3x+1$

a)

$x^3-3x-1$

b)

$x^3+2x^2-1$

c)

$x^3-2x^2-3x$

d)

$x^3-2x^2+3x-1$

47.

Degree of the polynomial $\left(y^3-2\right)\left(y^3+1\right)$ is

a)

9

b)

2

c)

3

d)

6

48.

Let the polynomials be

(A) $-13q^5+4q^2+12q$ (B) $(x^2+4)(x^2+9)$ (C) $4q^8-q^6+q^2$

(D) $-\frac{5}{7}y^{12}+y^3+y^5$ Then ascending order of their degree is

a)

A,B,D,C

b)

A,B,C,D

c)

B,C,D,A

d)

B,A,C,D

49.

If $p\left(a\right)=0$ then $\left(x-a\right)$ is a _________ of $p\left(x\right)$

a)

divisor

b)

quotient

c)

remainder

d)

factor

50.

Zeroes of $\left(2-3x\right)$ is _____

a)

3

b)

2

c)

$\frac{2}{3}$

d)

$\frac{3}{2}$

51.

Which of the following has $x-1$ as a factor?

a)

$2x-1$

b)

$3x-3$

c)

$4x-3$

d)

$3x-4$

52.

If $x-3$ is a factor of $p\left(x\right)$ , then the remainder is

a)

3

b)

-3

c)

$p\left(3\right)$

d)

$p\left(-3\right)$

53.

$\left(x+y\right)\left(x^2-xy+y^2\right)$ is equal to

a)

$\left(x+y\right)^3$

b)

$\left(x-y\right)^3$

c)

$x^3+y^3$

d)

$x^3-y^3$

54.

$\left(a+b-c\right)^2$ is equal to

a)

$\left(a-b+c\right)^2$

b)

$\left(-a-b+c\right)^2$

c)

$\left(a+b+c\right)^2$

d)

$\left(a-b-c\right)^2$

55.

If $\left(x+5\right)\ and\ \left(x-3\right)$ are the factors of $ax^2+bx+c$ , then values of a,b and c are

a)

1,2,3

b)

1,2,15

c)

1,2,-15

d)

1,-2,15

56.

Cubic polynomial may have maximum of _______ linear factors.

a)

1

b)

2

c)

3

d)

4

57.

Degree of the constant polynomial is

a)

3

b)

2

c)

1

d)

0

58.

Find the value of $m$ from the equation $2x+3y=m$ . If its one solution is $x=2$ and $y=-2$

a)

2

b)

-2

c)

10

d)

0

59.

Which of the following is a linear equation

a)

$x+\frac{1}{x}=2$

b)

$x\left(x-1\right)=2$

c)

$3x+5=\frac{2}{3}$

d)

$x^3-x=5$

60.

Which of the following is a solution of the equation $2x-y=6$

a)

(2,4)

b)

(4,2)

c)

(3,-1)

d)

(0,6)

61.

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

a)

12

b)

6

c)

0

d)

13

62.

Which condition does not satisfy the linear equation $ax+by+c=0$

a)

$a\ne0,b=0$

b)

$a=0,b\ne0$

c)

$a=0,b=0,c\ne0$

d)

$a\ne0,b\ne0$

63.

Which of the following is not a linear equation in two variable

a)

$ax+by+c=0$

b)

$0x+0y_{ }+c=0$

c)

$0x+by+c=0$

d)

$ax+0y+c=0$

64.

The value of k for which the pair of linear equations $4x+6y-1=0$ and $2x+ky-7=0$ represents parallel lines is

a)

k=3

b)

k=2

c)

k=4

d)

k=-3

65.

A pair of linear equations has no solution then the graphical representation is

a)

b)

c)

d)

66.

If $\frac{a_1}{a_2}\ne\frac{b_1}{b_2}$ where $a_1x+b_1y+c_1=0$ and $a_2x+b_2y+c_2=0$ then the given pair of linear equation has ________ solution(s).

a)

no solution

b)

two solutions

c)

unique

d)

infinite

67.

If $\frac{a_1}{a_2}=\frac{b_1}{b_2}\ne\frac{c_1}{c_2}$ where $a_1x+b_1y+c_1=0$ and $a_2x+b_2y+c_2=0$ then the given pair of linear equation has ________ solution(s).

a)

no solution

b)

two solutions

c)

unique

d)

infinite

68.

GCD of any two prime numbers is

a)

-1

b)

0

c)

1

d)

2

69.

The GCD of $x^4-y^4$ and $x^2-y^2$ is

a)

$x^4-y^4$

b)

$x^2-y^2$

c)

$\left(x+y\right)^2$

d)

$\left(x+y\right)^4$

70.

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

a)

Exterior angles

b)

Alternate angles

c)

Interior opposite angles

d)

Interior angles

71.

In the quadrilateral $ABCD$ , $AB=BC$ and $AD=DC.$ Measure of $\angle BCD$ is

a)

$150\degree$

b)

$30\degree$

c)

$105\degree$

d)

$72\degree$

72.

$ABCD$ is a square, diagonals $AC$ and $BD$ meet at $O.$ The number of pairs of congruent triangles with vertex $O$ are

a)

12

b)

4

c)

8

d)

6

73.

In the given figure $CE\ \parallel DB$ then the value of $x\degree$ is

a)

$30\degree$

b)

$85\degree$

c)

$45\degree$

d)

$75\degree$

74.

The correct statement out of the following is

a)

$\Delta ABC\cong\Delta DEF$

b)

$\Delta ABC\cong\Delta DFE$

c)

$\Delta ABC\cong\Delta FDE$

d)

$\Delta ABC\cong\Delta FED$

75.

If the diagonal of a rhombus are equal, then the rhombus is a

a)

Parallelogram but not a rectangle

b)

Rectangle but not a square

c)

Square

d)

Parallelogram but not a square

76.

If bisectors of $\angle A$ and $\angle B$ of a quadrilateral $ABCD$ meet at $O$ , then $\angle AOB$ is

a)

$\angle C\ +\angle D$

b)

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

c)

$\frac{1}{2}\angle C\ +\frac{1}{3}\angle D$

d)

$\frac{1}{3}\angle C\ +\frac{1}{2}\angle D$

77.

The interior angle made by the side in a parallelogram is $90\degree$ then the parallelogram is a

a)

rhombus

b)

rectangle

c)

trapezium

d)

kite

78.

Which of the following statement is correct?

a)

Opposite angles of a parallelogram are not equal

b)

Adjacent angles of a parallelogram are complementary

c)

Diagonals of a parallelogram are always equal

d)

Both pairs of opposite sides of a parallelogram are always equal

79.

The angles of the triangle are $3x-40,\ x+20\ and\ 2x-10$ then the value of $x$ is

a)

$40\degree$

b)

$50\degree$

c)

$35\degree$

d)

$45\degree$

80.

$PQ\ and\ RS$ are two equal chords of a circle with centre $O$ such that $\angle POQ=70\degree$ , then $\angle ORS=$

a)

$60\degree$

b)

$70\degree$

c)

$80\degree$

d)

$55\degree$

81.

A chord is at a distance of $15\ cm$ from the centre of the circle of radius $25\ cm.$ The length of the chord is

a)

25 cm

b)

20 cm

c)

40 cm

d)

18 cm

82.

In the figure, $O$ is the centre of the circle and $\angle ACB=40\degree\ then\ \angle AOB=$

a)

$80\degree$

b)

$85\degree$

c)

$70\degree$

d)

$65\degree$

83.

In a cyclic quadrilaterals $ABCD,$ $\angle A=4x,\ \angle C=2x$ the value of $x$ is

a)

$30\degree$

b)

$20\degree$

c)

$15\degree$

d)

$25\degree$

84.

In the figure, $O$ is the centre of a circle and diameter $AB$ bisects the chord $CD$ at a point $E$ such that $CE=ED=8\ cm\ and\ EB=4\ cm.$ The radius of the circle is

a)

8 cm

b)

4 cm

c)

6 cm

d)

10 cm

85.

In the figure, $PQRS\ and\ PTVS\$ are two cyclic quadrilaterals, If $\angle QRS=100\degree,\ then\ \angle TVS\ =$

a)

$80\degree$

b)

$100\degree$

c)

$70\degree$

d)

$90\degree$

86.

If one angle of a cyclic quadrilateral is $75\degree,$ then the opposite angle is

a)

$100\degree$

b)

$105\degree$

c)

$85\degree$

d)

$90\degree$

87.

In the figure, $ABCD$ is a cyclic quadrilateral in which $DC$ produce to $E\ and\ CF$ is drawn parallel to $AB\$ such that $\angle ADC=80\degree$ AND $\angle ECF=20\degree$ , then $\angle BAD=?$

a)

$100\degree$

b)

$20\degree$

c)

$120\degree$

d)

$110\degree$

88.

$AD$ is a diameter of a circle and $AB$ is a chord if $AD=30cm\ and\ AB=24cm$ then the distance of $AB$ from the centre of the circle is

a)

10 cm

b)

9 cm

c)

8 cm

d)

6 cm

89.

In the given figure, If $OP=17\ cm,\ PQ=30\ cm$ and $OS$ is

perpendicular to $PQ$ , then $RS$ is

a)

10 cm

b)

6 cm

c)

7 cm

d)

9 cm

90.

If the $y-coordinate$ of a point is zero, then the point always lies ______

a)

in the $I$ quadrant

b)

in the $II$ quadrant

c)

on $x-axis$

d)

on $y-axis$

91.

Th e points (–5, 2) and (2, –5) lie in the ________

a)

same quadrant

b)

$II\ and\ III\$ quadrant respectively

c)

$II\ and\ IV$ quadrant respectively

d)

$IV\ and\ II$ quadrant respectively

92.

On plotting the points $O(0,0),\ A(3,-4),\ B(3,4)\ and\ C(0,4)$ and joining $OA,\ AB,\ BC\ and\ CO,$ which of the following figure is obtained?

a)

Square

b)

Rectangle

c)

Trapezium

d)

Rhombus

93.

If $P(-1,1),\ Q(3,-4),\ R(1,-1),\ S(-2,-3)\ and\ T(-4,4)$ are plotted on a graph paper, then the points in the fourth quadrant are __________

a)

$P\ and\ T$

b)

$Q\ and\ R$

c)

$Only\ S$

d)

$P\ and\ Q$

94.

Th e point whose ordinate is $4$ and which lies on the y-axis is _______________

a)

(4,0)

b)

(0,4)

c)

(1,4)

d)

(4,2)

95.

Th e distance between the two points $(2,3)\ and\ (1,4)$ is ______

a)

2

b)

$\sqrt[]{56}$

c)

$\sqrt[]{10}$

d)

$\sqrt[]{2}$

96.

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

a)

0

b)

2

c)

3

d)

-6

97.

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

a)

(7, 12)

b)

(6, 3)

c)

(3, 6)

d)

(2, 1)

98.

If $Q_1,\ Q_2,\ Q_3,\ Q4$ are the quadrants in a Cartesian plane then $Q_2\cap Q_3$ is ___________

a)

$Q_1\cup Q_2$

b)

$Q_2\cup Q_3$

c)

Null set

d)

Negative x- axis

99.

Th e distance between the point ( 5, –1 ) and the origin is _________

a)

$\sqrt[]{24}$

b)

$\sqrt[]{37}$

c)

$\sqrt[]{26}$

d)

$\sqrt[]{17}$

100.

The coordinates of the point $C$ dividing the line segment joining the points $P(2,4)\ and\ Q(5,7)$ internally in the ratio $2:1$ is

a)

$\left(\frac{7}{2},\ \frac{11}{2}\right)$

b)

$\left(3,5\right)$

c)

$\left(4,4\right)$

d)

$\left(4,6\right)$

101.

If $P\left(\frac{a}{3},\ \frac{b}{2}\right)$ is the mid-point of the line segment joining $A(−4,3)\ and\ B(−2,4)$ then $(a,b)$ is

a)

$\left(-9,7\right)$

b)

$\left(-3,\frac{7}{2}\right)$

c)

$\left(9,-7\right)$

d)

$\left(3,-\frac{7}{2}\right)$

102.

In what ratio does the point $Q(1,6)$ divide the line segment joining the points $P(2,7)\ and\ R(−2,3)$

a)

1:2

b)

2:1

c)

1:3

d)

3:1

103.

If the coordinates of one end of a diameter of a circle is $(3,4)$ and the coordinates of its centre is $(−3,2),$ then the coordinate of the other end of the diameter is

a)

(0,-3)

b)

(0,9)

c)

(3,0)

d)

(-9,0)

104.

The ratio in which the x-axis divides the line segment joining the points $A\left(a_1,b_1\right)$ and $B\left(a_2,b_2\right)$ is

a)

$b_1:b_2$

b)

$-b_1:b_2$

c)

$a_1:a_2$

d)

$-a_1:a_2$

105.

The ratio in which the x-axis divides the line segment joining the points (6,4) and

(1, −7) is

a)

2:3

b)

3:4

c)

44:7

d)

4:3

106.

If the coordinates of the mid-points of the sides $AB,\ BC\ and\ CA$ of a triangle are $(3,4),\ (1,1)\ and\ (2,−3)$ respectively, then the vertices $A\ and\ B$ of the triangle are

a)

(3,2), (2,4)

b)

(4,0), (2,8)

c)

(3,4), (2,0)

d)

(4,3), (2,4)

107.

The mid-point of the line joining $(−a,\ 2b)\ and\ (−3a,−4b)$ is

a)

$(2a,\ 3b)$

b)

$(−2a,−b)$

c)

$(2a,\ b)$

d)

$(−2a,−3b)$

108.

In what ratio does the y-axis divides the line joining the points $(−5,1)\ and\ (2,3)$ internally

a)

1:3

b)

2:5

c)

3:1

d)

5:2

109.

If $(1,−2),\ (3,6),\ (x,10)\ and\ (3,2)$ are the vertices of the parallelogram taken in order, then the value of $x$ is

a)

6

b)

5

c)

4

d)

3

110.

If $\sin\ 30\degree=x$ and $\cos\ 60\degree=y,$ then $x^2\ +\ y^2$ is

a)

$\frac{1}{2}$

b)

0

c)

$\sin\ 90\degree$

d)

$\cos\ 90\degree$

111.

If $\tan\theta=\cot\ 37\degree$ , then the value of $\theta\$ is

a)

$37\degree$

b)

$53\degree$

c)

$90\degree$

d)

$1\degree$

112.

The value of $\tan72\degree\ \tan\ 18\degree$ is

a)

0

b)

1

c)

$18\degree$

d)

$72\degree$

113.

The value of $\frac{2\tan30\degree}{1-\tan^230\degree}$ is equal to

a)

$\cos\ 60\degree$

b)

$\sin\ 60\degree$

c)

$\tan\ 60\degree$

d)

$\sin\ 30\degree$

114.

If $2\sin2\theta=\sqrt[]{3}$ , then the value of $\theta$ is

a)

$90\degree$

b)

$30\degree$

c)

$45\degree$

d)

$60\degree$

115.

The value of $3\sin70\degree\sec20\degree+2\sin49\degree\sec51\degree$ is

a)

2

b)

3

c)

5

d)

6

116.

The value of $\frac{1-\tan^245\degree}{1+\tan^245\degree}$ is

a)

2

b)

1

c)

0

d)

$\frac{1}{2}$

117.

The value of $\operatorname{cosec}\left(70\degree+\theta\right)-\sec\left(20\degree-\theta\right)+\tan\left(65\degree+\theta\right)-\cot\left(25\degree-\theta\right)$ is

a)

0

b)

1

c)

2

d)

3

118.

The value of $\tan1\degree\tan2\degree\tan3\degree...\tan89\degree$ is

a)

0

b)

1

c)

2

d)

$\frac{\sqrt[]{3}}{2}$

119.

Given that $\sin\alpha=\frac{1}{2}$ and $\cos\beta=\frac{1}{2}$ , then the value of $\alpha+\beta\$ is

a)

$0\degree$

b)

$90\degree$

c)

$30\degree$

d)

$60\degree$

120.

The semi-perimeter of a triangle having sides $15\ cm$ , $20\ cm$ and $25\ cm$ is

a)

$60\ cm$

b)

$45\ cm$

c)

$30\ cm$

d)

$15\ cm$

121.

If the sides of a triangle are $3\ cm$ , $4\ cm$ and $5\ cm$ , then the area is

a)

$3\ cm^2$

b)

$6\ cm^2$

c)

$9\ cm^2$

d)

$12\ cm^2$

122.

The perimeter of an equilateral triangle is $30\ cm$ . The area is

a)

$10\sqrt[]{3}\ cm^2$

b)

$12\sqrt[]{3}\ cm^2$

c)

$15\sqrt[]{3}\ cm^2$

d)

$25\sqrt[]{3}\ cm^2$

123.

The lateral surface area of a cube of side $12\ cm$ is

a)

$144\ cm^2$

b)

$196\ cm^2$

c)

$576\ cm^2$

d)

$664\ cm^2$

124.

If the lateral surface are of a cube is $600\ cm^2$ , then the total surface area is

a)

$150\ cm^2$

b)

$400\ cm^2$

c)

$900\ cm^2$

d)

$1350\ cm^2$

125.

The total surface area of a cuboid with dimension $10\ cm\ \times6\ cm\ \times5\ cm$ is

a)

$280\ cm^2$

b)

$300\ cm^2$

c)

$360\ cm^2$

d)

$600\ cm^2$

126.

If the ratio of the sides of two cubes are $2:3$ , then ratio of their surface areas will be

a)

$4:6$

b)

$4:9$

c)

$6:9$

d)

$16:36$

127.

The volume of a cuboid is $660\ cm^3$ and the area of the base is $33\ cm^2$ . Its height is

a)

$10\ cm$

b)

$12\ cm$

c)

$20\ cm$

d)

$22\ cm$

128.

The capacity of a water tank of dimensions $10\ m\ \times5\ m\times\ 1.5\ m$ is

a)

$75\ litres$

b)

$750\ litres$

c)

$7500\ litres$

d)

$75000\ litres$

129.

The number of bricks each measuring $50\ cm\ \times30\ cm\ \times20\ cm$ that will be required to build a wall whose dimensions are $5\ m\ \times3\ m\times2\ m$ is

a)

1000

b)

2000

c)

3000

d)

5000

130.

Let $m$ be the mid point and $b$ be the upper limit of a class in a continuous frequency distribution. The lower limit of the class is

a)

$2m-b$

b)

$2m+b$

c)

$m-b$

d)

$m-2b$

131.

The mean of a set of seven numbers is 81. If one of the numbers is discarded, the mean of the remaining numbers is 78. The value of discarded number is

a)

101

b)

100

c)

99

d)

98

132.

A particular observation which occurs maximum number of times in a given data is called its

a)

Frequency

b)

Range

c)

Mode

d)

Median

133.

For which set of numbers do the mean, median and mode all have the same values?

a)

2,2,2,4

b)

1,3,3,3,5

c)

1,1,2,5,6

d)

1,1,2,1,5

134.

The algebraic sum of the deviations of a set of $n$ values from their mean is

a)

0

b)

$n-1$

c)

$n$

d)

$n+1$

135.

The mean of $a,b,c,d$ and $e$ is $28$ . If the mean of $a,c$ and $e$ is $24$ , then mean of $b$ and $d$ is

a)

24

b)

36

c)

26

d)

34

136.

If the mean of five observations $x,x+2,x+4,x+6,x+8,$ is 11, then the mean of first three observations is

a)

9

b)

11

c)

13

d)

15

137.

The mean of $5,9,x,17,$ and $21$ is $13$ , then find the value of $x$

a)

9

b)

13

c)

17

d)

21

138.

The mean of the square of first $11$ natural numbers is

a)

26

b)

46

c)

48

d)

52

139.

The mean of a set of numbers is $\overline{X}$ . If each number is multiplied by $z$ , the mean is

a)

$\overline{X}\ +z$

b)

$\overline{X}\ -z$

c)

$z\overline{X\ }\ \$

d)

$\overline{X}$

140.

A number between 0 and 1 that is used to measure uncertainty is called

a)

Random variable

b)

Trial

c)

Simple event

d)

Probability

141.

Probability lies between

a)

-1 and +1

b)

0 and 1

c)

0 and n

d)

0 and ∞

142.

The probability based on the concept of relative frequency theory is called

a)

Empirical probability

b)

Classical probability

c)

Both (1) and (2)

d)

Neither (1) nor (2)

143.

The probability of an event cannot be

a)

Equal to zero

b)

Greater than zerro

c)

Equal to one

d)

Less than zero

144.

The probability of all possible outcomes of a random experiment is always equal tot

a)

one

b)

zero

c)

infinity

d)

less than one

145.

If $A$ is any even in $S$ and its complement if $A'$ then, $P\left(A'\right)$ is equal to

a)

1

b)

0

c)

1-A

d)

1-P(A)

146.

Which of the following cannot be taken as probability of an event?

a)

0

b)

0.5

c)

1

d)

-1

147.

A particular result of an experiment is called

a)

Trial

b)

Simple event

c)

Compound event

d)

Outcome

148.

A collection of one or more outcomes of an experiment is called

a)

Event

b)

Outcome

c)

Sample point

d)

None of the above

149.

The six faces of the dice are called equally likely if the dice is

a)

Small

b)

Fair

c)

Six - faced

d)

Round

RUBI THERESA- 9TH SAMACHEER MATHEMATICS- 1 MARKS - FULL PORTION

Total questions: 149

Worksheet time: 1hrs 15mins

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