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HSC Commerce (English Medium) इयत्ता ११ वी - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

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Mathematics and Statistics
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Express the following recurring decimal as a rational number.

`3.dot5`

[1.4] Sequences and Series
Chapter: [1.4] Sequences and Series
Concept: undefined >> undefined

Find the area of triangle whose vertice are A(-1, 2), B(2, 4), C(0, 0)

[1.6] Determinants
Chapter: [1.6] Determinants
Concept: undefined >> undefined

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Express the following recurring decimal as a rational number.

`3 · dot5`

[1.4] Sequences and Series
Chapter: [1.4] Sequences and Series
Concept: undefined >> undefined

Find the area of triangle whose vertices are A(-1, 2), B(2, 4), C(0, 0)

[1.6] Determinants
Chapter: [1.6] Determinants
Concept: undefined >> undefined

Express the following recurring decimal as a rational number.

`3.dot5`

[1.4] Sequences and Series
Chapter: [1.4] Sequences and Series
Concept: undefined >> undefined

Find the area of triangle whose vertices are A(-1, 2), B(2, 4), C(0, 0).

[1.6] Determinants
Chapter: [1.6] Determinants
Concept: undefined >> undefined

Express the following recurring decimal as a rational number.

`3.4bar56`

[1.4] Sequences and Series
Chapter: [1.4] Sequences and Series
Concept: undefined >> undefined

Express the following recurring decimal as a rational number.

`3.4bar56` 

[1.4] Sequences and Series
Chapter: [1.4] Sequences and Series
Concept: undefined >> undefined

Express the following recurring decimal as a rational number.

`3.dot5`

[1.4] Sequences and Series
Chapter: [1.4] Sequences and Series
Concept: undefined >> undefined

Find the area of triangle whose vertices are A(−1, 2), B(2, 4), C(0, 0)

[1.6] Determinants
Chapter: [1.6] Determinants
Concept: undefined >> undefined

Express the following recurring decimal as a rational number.

`3.dot5`

[1.4] Sequences and Series
Chapter: [1.4] Sequences and Series
Concept: undefined >> undefined

Find the area of triangle whose vertices are A (-1, 2), B (2, 4), C (0, 0).

[1.6] Determinants
Chapter: [1.6] Determinants
Concept: undefined >> undefined

Express the following recurring decimal as a rational number.

`3.dot5`

[1.4] Sequences and Series
Chapter: [1.4] Sequences and Series
Concept: undefined >> undefined

Find the area of triangles whose vertices are A(−1, 2), B(2, 4), C(0, 0).

[1.6] Determinants
Chapter: [1.6] Determinants
Concept: undefined >> undefined

Express the following recurring decimal as a rational number.

`3.4bar(56)`

[1.4] Sequences and Series
Chapter: [1.4] Sequences and Series
Concept: undefined >> undefined

The following table gives frequency distribution of marks of 100 students in an examination.

Marks 15 –20 20 – 25 25 – 30 30 –35 35 –  40 40 – 45 45 – 50
No. of students 9 12 23 31 10 8 7

Determine D6, Q1, and P85 graphically.

[2.1] Partition Values
Chapter: [2.1] Partition Values
Concept: undefined >> undefined

The following table gives the distribution of daily wages of 500 families in a certain city.

Daily wages No. of families
Below 100 50
100 – 200 150
200 – 300 180
300 – 400 50
400 – 500 40
500 – 600 20
600 above 10

Draw a ‘less than’ ogive for the above data. Determine the median income and obtain the limits of income of central 50% of the families.

[2.1] Partition Values
Chapter: [2.1] Partition Values
Concept: undefined >> undefined

The following frequency distribution shows the profit (in ₹) of shops in a particular area of city:

Profit per shop (in ‘000) No. of shops
0 – 10 12
10 – 20 18
20 – 30 27
30 – 40 20
40 – 50 17
50 – 60 6

Find graphically The limits of middle 40% shops.

[2.1] Partition Values
Chapter: [2.1] Partition Values
Concept: undefined >> undefined

The following frequency distribution shows the profit (in ₹) of shops in a particular area of city:

Profit per shop (in ‘000) No. of shops
0 – 10 12
10 – 20 18
20 – 30 27
30 – 40 20
40 – 50 17
50 – 60 6

Find graphically the number of shops having profile less than 35,000 rupees.

[2.1] Partition Values
Chapter: [2.1] Partition Values
Concept: undefined >> undefined

The following is the frequency distribution of overtime (per week) performed by various workers from a certain company.

Determine the values of D2, Q2, and P61 graphically.

Overtime
(in hours)
Below 8 8 – 12 12 – 16 16 – 20 20 – 24 24 and above
No. of workers 4 8 16 18 20 14
[2.1] Partition Values
Chapter: [2.1] Partition Values
Concept: undefined >> undefined
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