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HSC Commerce: Marketing and Salesmanship 12th Standard Board Exam - Maharashtra State Board Question Bank Solutions

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Using the Venn diagram, examine the logical equivalence of the following statements: 

(a) Some politicians are actors.

(b) There are politicians who are actors.

(c) There are politicians who are not actors.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

If `x^3y^5 = (x + y)^8` , then show that `(dy)/(dx) = y/x`

[3] Differentiation
Chapter: [3] Differentiation
Concept: undefined >> undefined

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Express the truth of each of the following statements by Venn diagram :
(a) Some hardworking students are obedient.
(b) No circles are polygons.
(c) All teachers are scholars and scholars are teachers.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

Express the truth of each of the following statements using Venn diagram.
(1) All teachers are scholars and scholars are teachers.
(2) If a quadrilateral is a rhombus then it is a parallelogram..

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

Represent the truth of the following statement by the Venn diagram.

Some hardworking students are obedient.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

Represent the truth of the following statement by the Venn diagram.

No circles are polygons.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

Represent the truth of the following statement by the Venn diagram.

All teachers are scholars and scholars are teachers.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

Represent the truth of the following statement by the Venn diagram.

If a quadrilateral is a rhombus, then it is a parallelogram.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

Draw a Venn diagram for the truth of the following statement.

Some share brokers are chartered accountants.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

Draw a Venn diagram for the truth of the following statement.

No wicket keeper is bowler, in a cricket team.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

Represent the following statement by the Venn diagram.

Some non-resident Indians are not rich.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

Represent the following statement by the Venn diagram.

No circle is rectangle.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

Represent the following statement by the Venn diagram.

If n is a prime number and n ≠ 2, then it is odd.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

Express the truth of the following statement by the Venn diagram.

All men are mortal.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

Express the truth of the following statement by the Venn diagram.

Some persons are not politician.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

Express the truth of the following statement by the Venn diagram.

No child is an adult.

[1] Mathematical Logic
Chapter: [1] Mathematical Logic
Concept: undefined >> undefined

Find `("d"^2"y")/"dx"^2`, if y = `sqrt"x"`

[3] Differentiation
Chapter: [3] Differentiation
Concept: undefined >> undefined

Find `("d"^2"y")/"dx"^2`, if y = `"x"^5`

[3] Differentiation
Chapter: [3] Differentiation
Concept: undefined >> undefined

Find `("d"^2"y")/"dx"^2`, if y = `"x"^-7`

[3] Differentiation
Chapter: [3] Differentiation
Concept: undefined >> undefined

Find `("d"^2"y")/"dx"^2`, if y = `"e"^"x"`

[3] Differentiation
Chapter: [3] Differentiation
Concept: undefined >> undefined
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