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SSC (Marathi Semi-English) 9th Standard [इयत्ता ९ वी] - Maharashtra State Board Question Bank Solutions

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Solve the following equation
`[10x^2 + 15x + 63]/[5x^2 - 25x + 12] = (2x + 3)/( x -5)`

[0.04] Ratio and Proportion
Chapter: [0.04] Ratio and Proportion
Concept: Application of Properties of Equal Ratios
A hockey player has scored following number of goals in 9 matches.
5, 4, 0, 2, 2, 4, 4, 3, 3
Find the mean, median and mode of the data.
[0.07] Statistics
Chapter: [0.07] Statistics
Concept: Measures of Central Tendency

Write the following rational numbers in decimal form.

1) `127/200`

2) `25/99`

3) `23/7`

4) `4/5`

5) `17/8`

[0.02] Real Numbers
Chapter: [0.02] Real Numbers
Concept: Decimal Representation to Identify Irrational Numbers

Write the following rational numbers in `p/q` form

3.17

[0.02] Real Numbers
Chapter: [0.02] Real Numbers
Concept: Decimal Representation to Identify Irrational Numbers

Choose the correct alternative answer for the questions given below. 
Every point on the number line represent, which of the following numbers?

[0.02] Real Numbers
Chapter: [0.02] Real Numbers
Concept: Decimal Representation to Identify Irrational Numbers

Write the following numbers in `p/q` form.

`9.315315...`

[0.02] Real Numbers
Chapter: [0.02] Real Numbers
Concept: Decimal Representation to Identify Irrational Numbers

Write the following number in its decimal form. 

`-5/7`

[0.02] Real Numbers
Chapter: [0.02] Real Numbers
Concept: Decimal Representation to Identify Irrational Numbers

Write the following number in its decimal form.

`9/11`

[0.02] Real Numbers
Chapter: [0.02] Real Numbers
Concept: Decimal Representation to Identify Irrational Numbers

Write the following number in its decimal form.

`sqrt 5`

[0.02] Real Numbers
Chapter: [0.02] Real Numbers
Concept: Decimal Representation to Identify Irrational Numbers

Write the following number in its decimal form.

`121/13`

[0.02] Real Numbers
Chapter: [0.02] Real Numbers
Concept: Decimal Representation to Identify Irrational Numbers

Compare the following pair of surd.

`7 , 2 sqrt 5`

[0.02] Real Numbers
Chapter: [0.02] Real Numbers
Concept: Concept of Surds

Multiply and write the answer in the simplest form.

`3 sqrt 12 xx sqrt 18`

[0.02] Real Numbers
Chapter: [0.02] Real Numbers
Concept: Concept of Surds

Multiply and write the answer in the simplest form.

`3sqrt 12 xx 7 sqrt 15`

[0.02] Real Numbers
Chapter: [0.02] Real Numbers
Concept: Concept of Surds

Multiply and write the answer in the simplest form.

`3sqrt8 xx sqrt5`

[0.02] Real Numbers
Chapter: [0.02] Real Numbers
Concept: Concept of Surds

Multiply and write the answer in the simplest form.

`5 sqrt 8 xx 2 sqrt 8`

[0.02] Real Numbers
Chapter: [0.02] Real Numbers
Concept: Concept of Surds

Divide, and write the answer in simplest form.

`sqrt 310 ÷ sqrt 5`

[0.02] Real Numbers
Chapter: [0.02] Real Numbers
Concept: Concept of Surds

Choose the correct alternative answer for the question given below.

Which of the following is not a surd?

[0.02] Real Numbers
Chapter: [0.02] Real Numbers
Concept: Concept of Surds

Choose the correct alternative answer for the questions given below.

What is the order of the surd `root (3)sqrt (5)` ?

[0.02] Real Numbers
Chapter: [0.02] Real Numbers
Concept: Concept of Surds

Choose the correct alternative answer for the questions given below.

Which one is the conjugate pair of `2 sqrt 5 + sqrt 3`?

[0.02] Real Numbers
Chapter: [0.02] Real Numbers
Concept: Concept of Surds

Write the following surd in simplest form.

`3/4 sqrt 8`

[0.02] Real Numbers
Chapter: [0.02] Real Numbers
Concept: Concept of Surds
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