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HSC Commerce (English Medium) 12th Standard Board Exam - Maharashtra State Board Question Bank Solutions

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Choose the correct alternative :

Negation of the statement “This is false or That is true” is

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Fill in the blanks :

The statement q → p is called as the ––––––––– of the statement p → q.

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If p ∨ q is true then truth value of ∼ p ∨ ∼ q is ______.

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Fill in the blanks :

Truth value of if x = 2, then x2 = − 4 is –––––––––.

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Fill in the blanks :

p ↔ q is false when p and q have ––––––––– truth values.

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Let p : the problem is easy. r : It is not challenging then verbal form of ∼ p → r is –––––––––.

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Fill in the blanks :

Truth value of 2 + 3 = 5 if and only if − 3 > − 9 is –––––––––.

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State whether the following statement is True or False :

Truth value of 2 + 3 < 6 is F.

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State whether the following statement is True or False :

There are 24 months in year is a statement.

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State whether the following statement is True or False :

p ∨ q has truth value F is both p and q has truth value F.

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State whether the following statement is True or False :

Dual of (p ∧ ∼ q) ∨ t is (p ∨ ∼ q) ∨ C.

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State whether the following statement is True or False :

Dual of “John and Ayub went to the forest” is “John and Ayub went to the forest”.

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State whether the following statement is True or False :

“His birthday is on 29th February” is not a statement.

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State whether the following statement is True or False :

x2 = 25 is true statement.

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State whether the following statement is True or False :

Truth value of `sqrt(5)` is not an irrational number is T.

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State whether the following statement is True or False :

p ∧ t = p.

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Solve the following :

State which of the following sentences are statements in logic.
Ice cream Sundaes are my favourite.

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Solve the following :

State which of the following sentences are statements in logic.
x + 3 = 8 ; x is variable.

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Solve the following :

State which of the following sentences are statements in logic.
Read a lot to improve your writing skill.

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Solve the following :

State which of the following sentences are statements in logic.
z is a positive number.

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