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HSC Commerce (English Medium) १२ वीं कक्षा - Maharashtra State Board Question Bank Solutions

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Find the truth value of the following statement.

It is not true that 3 − 7i is a real number.

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

Find the truth value of the following statement.

If a joint venture is a temporary partnership, then discount on purchase is credited to the supplier.

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

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Find the truth value of the following statement.

Every accountant is free to apply his own accounting rules if and only if machinery is an asset.

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

Find the truth value of the following statement.

Neither 27 is a prime number nor divisible by 4.

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

Find the truth value of the following statement.

3 is a prime number and an odd number.

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

If p and q are true and r and s are false, find the truth value of the following compound statement.

p ∧ (q ∧ r)

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

If p and q are true and r and s are false, find the truth value of the following compound statement.

(p → q) ∨ (r ∧ s) 

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

If p and q are true and r and s are false, find the truth value of the following compound statement.

~ [(~ p ∨ s) ∧ (~ q ∧ r)]

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

If p and q are true and r and s are false, find the truth value of the following compound statement.

(p → q) ↔ ~(p ∨ q)

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

If p and q are true and r and s are false, find the truth value of the following compound statement.

[(p ∨ s) → r] ∨ ~ [~ (p → q) ∨ s]

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

If p and q are true and r and s are false, find the truth value of the following compound statement.

~ [p ∨ (r ∧ s)] ∧ ~ [(r ∧ ~ s) ∧ q]

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

Assuming that the following statement is true,

p : Sunday is holiday,

q : Ram does not study on holiday,

find the truth values of the following statements.

Sunday is not holiday or Ram studies on holiday.

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

Assuming that the following statement is true,

p : Sunday is holiday,

q : Ram does not study on holiday,

find the truth values of the following statements.

If Sunday is not holiday then Ram studies on holiday.

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

Assuming that the following statement is true,

p : Sunday is holiday,

q : Ram does not study on holiday,

find the truth values of the following statements.

Sunday is a holiday and Ram studies on holiday.

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

If p : He swims

q : Water is warm

Give the verbal statement for the following symbolic statement:

p ↔ ~ q

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

If p : He swims

q : Water is warm

Give the verbal statement for the following symbolic statement.

~ (p ∨ q)

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

If p : He swims

q : Water is warm

Give the verbal statement for the following symbolic statement.

q → p

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

If p : He swims

q : Water is warm

Give the verbal statement for the following symbolic statement.

q ∧ ~ p

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

Fill in the blanks :

Conjunction of two statement p and q is symbolically written as ______.

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

Negation of “some men are animal” is ______.

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