HSC Arts (English Medium) इयत्ता १२ वी - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Fill in the blanks :

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

Fill in the blanks :

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

Fill in the blanks :

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

State whether the following statement is True or False :

Truth value of 2 + 3 < 6 is F.

State whether the following statement is True or False :

There are 24 months in year is a statement.

State whether the following statement is True or False :

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

State whether the following statement is True or False :

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

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”.

State whether the following statement is True or False :

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

State whether the following statement is True or False :

x² = 25 is true statement.

State whether the following statement is True or False :

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

State whether the following statement is True or False :

p ∧ t = p.

Solve the following :

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

Solve the following :

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

Solve the following :

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

Solve the following :

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

Solve the following :

State which of the following sentences are statements in logic.
(a + b)² = a² + 2ab + b² for all a, b ∈ R.

Solve the following :

State which of the following sentences are statements in logic.
(2 + 1)² = 9.

Solve the following :

State which of the following sentences are statements in logic.
Why are you sad?

Solve the following :

State which of the following sentences are statements in logic.
How beautiful the flower is!