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Test: Class 9 Math: CBSE Sample Question Paper Term I - 1


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50 Questions MCQ Test Mathematics (Maths) Class 9 | Test: Class 9 Math: CBSE Sample Question Paper Term I - 1

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 for Class 9 2022 is part of Mathematics (Maths) Class 9 preparation. The Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 questions and answers have been prepared according to the Class 9 exam syllabus.The Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 MCQs are made for Class 9 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 below.
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Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 1

=

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 1


Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 2

How many linear equations are satisfied by x = 2 and y = - 3?

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 2

Infinitely many equations satisfy x = 2 and y = 3 as infinitely many lines pass through a single point.

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 3

In the figure, AB ║CD , What is x + y.

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 3


In ΔAOB , using angle sum property of triangles, we have
40 + 60 + ∠AOB = 180
⇒ ∠AOB = 180 - 100 = 80
Also, we have
x + y + ∠AOB = 180 ...(Angles on a line)
⇒  x + y + 80 = 180
⇒  x + y = 100 

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 4

The area of a triangle with base 8 cm and height 10 cm is

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 4

Area = 1/2 x Base x Height
= 1/2 x 8 x 10
= 40 cm

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 5

Which of the following is a rational number?

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 5

0 is an integer and all integers are rational numbers.

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 6

The equation 2x + 9 = 0 on number line is represented by:

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 6

a point.
As, x = -9/2 is a point.

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 7

In the given figure, AB ║ CD, CD ║ EF and y : z = 3 : 7, then x =?

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 7

y : z = 3 : 7
Let common ratio be a
y = 3a
z = 7a
x = z (corresponding angle)
x = 7a
x + y =180° (interior angle)
7a + 3a =180°
10 a = 180°
a = 180/10
a = 18
x = 7a
x = 7x 18
x =126°

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 8

In the given figure, BO and CO are the bisectors of ∠B and ∠C and  respectively. If ∠A = 50° then ∠BOC = ?

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 8

In ΔABC we have:
∠A + ∠B + ∠C = 180° [Sum of the angles of a trianlge]
⇒ 50° + ∠B + ∠C = 180°
⇒  ∠B + ∠C = 130°
⇒ 1/2∠B + 1/2∠C = 65°
In ΔOBC we have:
∠OBC + ∠OCB + ∠BOC = 180°
⇒ 1/2∠B + 1/2∠C + ∠BOC  = 180° [Using (i)]
⇒ 65° + ∠BOC = 180°
⇒ ∠BOC = 1115°

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 9

If 10x = 64, what is the value of ?

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 9

10x = 64
⇒ 
⇒ 
⇒ 
Now, 
= 8  x 10 = 80

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 10

The number of times a particular item occurs in a given data is called its.

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 10

The number of times a particular item occurs in a given data is called its Frequency.

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 11

In the adjoining figure, y = ?

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 11

We have:
3x + 72 = 180° [ AOB is a straight line]
⇒ 3x = 108
⇒ x = 36
Also,
∠AOC + ​∠COD + ​∠BOD = 180°[ AOB is a straight line]
⇒ 36° + 90° + y = 180°
⇒ y = 54°

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 12

Value of is

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 12






= 1/9

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 13

If g = , what is the value of g when t = 64?

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 13







= 16 + 1/2
= 33/2

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 14

If in the figure, POQ is a straight line. The three adjacent angles are consecutive numbers, the measure of these angles is-

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 14

59o, 60o, 61o
Clearly, x + (x + 1) + (x + 2) = 180
⇒ 3x + 3 = 180
⇒ 3(x + 1) = 180
⇒ x + 1 = 60
⇒ x = 59
Hence the angles are 59, 60, 61

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 15

If (a, -2) lies on the graph of 3x - y = 10, then the value of a is

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 15

(a, -2) lies on the graph of 3x - y = 10
⇒ 3a = 8
⇒ a = 8/3

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 16

The mid-value of a class interval is 42. If the class size is 10, then the upper and lower limits of the class are:

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 16

Let the lower limit of a class = x
class size = 10
Upper limit = x + 10
Now, mid - value =  = x + 5 = 42 (given)
x = 37 = lower limit
x + 10 = 47 = upper limit
pper and lower limits are 47, 37

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 17

The sides of a triangle are 35 cm, 54 cm and 61 cm respectively, and its area is 420√5 cm2. The length of its longest altitude is

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 17

Since longest altitude is drawn opposite to the shortest side in a triangle.
Area of triangle = 1/2 x Base x Height
⇒ 420√5 = 1/2 x 35 x Height
⇒ Height = 
= 24√5 cm

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 18

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

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 18

If  be the mean of the n observations q Xi, ..., Xn then we have

⇒ 
Let  be the mean of n values Xi, ..., Xn. So, we have

⇒ 
The sum of the deviations of n values Xi, ..., Xn from their mean  is



= 0

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 19

 = _____________ .

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 19





= 5/5
= 1

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 20

In Fig., the value of x, is

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 20

Let,
AB, CD and EF intersect at O
∠COB = ∠AOD (Vertically opposite angle)
∠AOD = 3x + 10 ....(i)
∠AOE + ∠AOD + ∠DOF = 180o (Linear pair)
x + 3x + 10o + 90o = 180o
4x + 100o = 180o
4x = 80o
x = 20o

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 21

The equation 2x + 5y = 7 has a unique solution, if x, y are :

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 21

There is only one pair i.e., (1, 1) which satisfies the given equation but in positive real numbers, real numbers and rational numbers there are many pairs to satisfy the given linear equation. Hence, unique solution is possible only in case of Natural numbers.

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 22

The lengths of the sides of ABCare consecutive integers. It ΔABC has perimeter as an equilateral triangle triangle with a side of length 9 cm, what is the length of the shortest side of ΔABC?

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 22

Let the sides of ΔABC be n, n + 1, n + 2
⇒ Perimeter = n + n + 1 + n + 2
⇒ (9 + 9 + 9) = 3n + 3
⇒ 27 = 3n + 3
⇒ 3n = 24
 ⇒ n = 8 cm
Thus, the shortest side is 8 cm

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 23

A linear equation in two variables is of the form ax + by + c = 0, where

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 23

A linear equation in two variables is of the form ax + by + c = 0 as a and b are cofficient of x and y
so if a = 0 and b = 0 or either of one is zero in that  case the equation will be one variable or their will be no equation respectively. 
therefore when a ≠ 0 and b ≠ 0 then only the equation will be in two variable

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 24

The co-ordinates of a point above the x-axis lying on y-axis at a distance of 4 units are

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 24

It lies on y-axis so it's abscissa = 0 and it lies on y-axis at a distance of 4unit.
Thus point will be (0, 4).

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 25

If 102y = 25, then 10-y equals

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 25

102y = 25
102y =  52
(10y)2 = (5)2 
⇒ 10y = 5
Now 10-y
= 1/10y
= 1/5
 

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 26

The area of an equilateral triangle is 81√3cm2 . Its height is

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 26

Area of equilateral triangle = 81√3cm2
 
⇒ (Side)2  = 81 x4
⇒ (Side)2 = 324
Side = 18 cm
Now,
Height = 
= 9√3cm

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 27

In the below figure AB ║ CD ,O is the mid point BC. Which of the following is true?

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 27

In ΔAOB andΔDOC
∠OAB = ∠ODC (alternate interior angles)
∠OBAv=v∠OCD
OB = OC (given)
So, from ASA congruence ,we have 
ΔAOB ≅ ΔDOC 
Now, from CPCT ,we have
AB = CD
OA = OD which means O is the mid-point of AD.
Hence ,all the given statements are true.

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 28

The value of is

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 28










= 1/2

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 29

The point C(-5, -2) lies in

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 29

 In 3rd quadrant values of Abscissa and Ordinate both are —ve , i.e, (— , +)
Here,since value of both x and y-coordinate are -ve so it will lies in 3rd quadrant

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 30

The graph given below shows the frequency distribution of the age of 22 teachers in a school. The number of teachers whose age is less than 40 years is

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 30

Add the values corresponding to the height of the bar before 40.
6 + 3 + 4 + 2 = 15

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 31

If side of a scalene Δ is doubled then area would be increased by

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 31

Area of triangle with sides a, b, c (A) = 
New sides are 2a, 2b and 2c
Then 
New area =  

= 4A
Increased area = 4A - A = 3A
% of increased area = 3A/A x 100 = 300%

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 32

If √5n = 125,then  = 

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 32


⇒ 
Comparing, we get

Now





= 52
= 25

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 33

If all the altitudes from the vertices to the opposite sides of a triangle are equal, then the triangle is

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 33

In an equilateral triangle all the altitudes, sides, angles, perpendicular bisectors, medians and angular bisectors are equal.

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 34

The mean weight of six boys in a group is 48 kg. The individual weights of five of them are 51 kg, 45 kg, 49 kg, 46 kg and 44 kg. The weight of the 6th boy is

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 34

Mean weight of six boys = 48 kg
Let the weight of the 6th boy be x kg.
We know:
Mean = 


Given :
Mean = 48 kg
⇒ 
⇒ 235 + x = 288
⇒ x = 53
⇒ Hence, the weight of the 6th boy is 53 kg

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 35

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

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 35


∠1 + ∠2 + ∠3 = 180o  (Angle sum property)....(a)
∠3 + ∠4  = 180o (Linear Pair)....(b)
On equating equations a and b, we get
∠1 + ∠2  = ∠4

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 36

How many linear equations can be satisfied by x = 2 and y = 3?

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 36

There are infinite many eqution which satisfy the given value x = 2, y = 3
for example
x + y = 5
x - y = -1
3x - 2y = 0 etc.......

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 37

In the adjoining figure, AB = FC, EF = BD and ∠AFE = ∠CBD. Then the rule by which ΔAFE ≌ ΔCBD

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 37

In ΔDBC and ΔAEF, we have
AB = FC (given)by adding BF on both sides
AF= CB
∠AFE = ∠CBD  (given)
EF = BD        (given)
Hence, ΔAFE ≌ ΔCBD by SAS as the corresponding sides and their included angles are equal.

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 38

The value of is 

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 38


Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 39

In ΔABC and ΔPQR. If AB = QP, ∠B = ∠P  , BC = PR then which one of the following congruence conditions applies:

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 39

Since given two sides and an angle are equal so it obeys SAS.

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 40

The mean of six numbers is 23. If one of the numbers is excluded, the mean of the remaining numbers becomes 20. The excluded number is

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 40

The mean of the six numbers is 23.
So the sum of six numbers is 23 x 6 = 138
After excluding one number,  the mean of the remaining numbers is 20.
So the sum of five numbers is 20 x 5 = 100
The difference between them is
138 - 100 = 38

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 41

Read the text carefully and answer the questions:

Ashok is studying in 9th class in Govt School, Chhatarpur. Once he was at his home and was doing his geometry homework.
He was trying to measure three angles of a triangle using the Dee, but his dee was old and his Dee's numbers were erased and the lines on the dee were visible.
Let us help Ashok to find the angles of the triangle.
He found that the second angle of the triangle was three times as large as the first. The measure of the third angle is double of the first angle.
What was the value of the second angle?

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 41

90°

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 42

Read the text carefully and answer the questions:

Ashok is studying in 9th class in Govt School, Chhatarpur. Once he was at his home and was doing his geometry homework.
He was trying to measure three angles of a triangle using the Dee, but his dee was old and his Dee's numbers were erased and the lines on the dee were visible.
Let us help Ashok to find the angles of the triangle.
He found that the second angle of the triangle was three times as large as the first. The measure of the third angle is double of the first angle.
What was the value of ∠4 as shown the figure?

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 42

120°

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 43

Read the text carefully and answer the questions:

Ashok is studying in 9th class in Govt School, Chhatarpur. Once he was at his home and was doing his geometry homework.
He was trying to measure three angles of a triangle using the Dee, but his dee was old and his Dee's numbers were erased and the lines on the dee were visible.
Let us help Ashok to find the angles of the triangle.
He found that the second angle of the triangle was three times as large as the first. The measure of the third angle is double of the first angle.
What was the sum of all three angles measured by Ashok using Dee?

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 43

180°

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 44

Read the text carefully and answer the questions:

Ashok is studying in 9th class in Govt School, Chhatarpur. Once he was at his home and was doing his geometry homework.
He was trying to measure three angles of a triangle using the Dee, but his dee was old and his Dee's numbers were erased and the lines on the dee were visible.
Let us help Ashok to find the angles of the triangle.
He found that the second angle of the triangle was three times as large as the first. The measure of the third angle is double of the first angle.
What was the value of the first angle?

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 44

30°

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 45

Read the text carefully and answer the questions:

Ashok is studying in 9th class in Govt School, Chhatarpur. Once he was at his home and was doing his geometry homework.
He was trying to measure three angles of a triangle using the Dee, but his dee was old and his Dee's numbers were erased and the lines on the dee were visible.
Let us help Ashok to find the angles of the triangle.
He found that the second angle of the triangle was three times as large as the first. The measure of the third angle is double of the first angle.
What was the value of the third angle?

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 45

60°

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 46

Read the text carefully and answer the questions:

Roshan decorated one of his bathroom wall with tiles as shown in the picture. He was having tiles of four colours orange, yellow, green and blue. He fitted the tiles in 8 columns and 12 rows. The size of one tile was 1 foot x 1 foot and the area of each tile is 1 foot².
He arranged the tile in such a way that colour of tiles in each row and column were in the pattern:
Orange-> Yellow-> green->Blue->Orange->..... and so on.
Which colour tile was fitted at the point with coordinates (5, 3)?

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 46

Green

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 47

Read the text carefully and answer the questions:

Roshan decorated one of his bathroom wall with tiles as shown in the picture. He was having tiles of four colours orange, yellow, green and blue. He fitted the tiles in 8 columns and 12 rows. The size of one tile was 1 foot x 1 foot and the area of each tile is 1 foot².
He arranged the tile in such a way that colour of tiles in each row and column were in the pattern:
Orange-> Yellow-> green->Blue->Orange->..... and so on.
Which colour tile was fitted at the point with coordinates (7, 7)?

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 47

Orange

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 48

Read the text carefully and answer the questions:

Roshan decorated one of his bathroom wall with tiles as shown in the picture. He was having tiles of four colours orange, yellow, green and blue. He fitted the tiles in 8 columns and 12 rows. The size of one tile was 1 foot x 1 foot and the area of each tile is 1 foot².
He arranged the tile in such a way that colour of tiles in each row and column were in the pattern:
Orange-> Yellow-> green->Blue->Orange->..... and so on.
Which colour tile was fitted at the point with coordinate (2, 5)?​

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 48

Yellow

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 49

Read the text carefully and answer the questions:

Roshan decorated one of his bathroom wall with tiles as shown in the picture. He was having tiles of four colours orange, yellow, green and blue. He fitted the tiles in 8 columns and 12 rows. The size of one tile was 1 foot x 1 foot and the area of each tile is 1 foot².
He arranged the tile in such a way that colour of tiles in each row and column were in the pattern:
Orange-> Yellow-> green->Blue->Orange->..... and so on.?
What is the area of the tiles fitted in the rectangular part OABX?

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 49

48 foot²

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 50

Read the text carefully and answer the questions:

Roshan decorated one of his bathroom wall with tiles as shown in the picture. He was having tiles of four colours orange, yellow, green and blue. He fitted the tiles in 8 columns and 12 rows. The size of one tile was 1 foot x 1 foot and the area of each tile is 1 foot².
He arranged the tile in such a way that colour of tiles in each row and column were in the pattern:
Orange-> Yellow-> green->Blue->Orange->..... and so on.
What is the ordinate of top row tiles?

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 50

12

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