HSC Science (Computer Science) 12th Standard Board Exam - Maharashtra State Board Important Questions

Write converse, inverse and contrapositive of the following statement. "If voltage increases then current decreases".

Using the rule of negation write the negation of the following with justification.

p → (p ∨ ∼ q)

Construct the switching circuit of the following:

(∼ p ∧ q) ∨ (p ∧ ∼ r)

Give an alternative equivalent simple circuit for the following circuit:

Inverse of statement pattern (p ∨ q) → (p ∧ q) is ________ .

If p ∧ q is F, p → q is F then the truth values of p and q are ________.

If A = {1, 2, 3, 4, 5} then which of the following is not true?

Using the rules in logic, write the negation of the following:

(p ∨ q) ∧ (q ∨ ∼r)

Choose the correct alternative :

If p : He is intelligent.
q : He is strong
Then, symbolic form of statement “It is wrong that, he is intelligent or strong” is

The negation of the proposition “If 2 is prime, then 3 is odd”, is ______.

Which of the following statement is true

Negation of p → (p ˅ ∼ q) is ______

A biconditional statement is the conjunction of two ______ statements.

If p → q is an implication, then the implication ∼ q → ∼ p is called its

State the truth value of `sqrt(3)` is not an irrational number

State the truth value of (p ˅ ∼p)

Write the following compound statements symbolically.

Triangle is equilateral or isosceles

If statements p, q are true and r, s are false, determine the truth values of the following.

(p ∧ ~r) ∧ (~q ∨ s)

Without using truth table prove that:

~ (p ∨ q) ∨ (~ p ∧ q) ≡ ~ p

Write the following statement in symbolic form:

Milk is white if and only if the sky is not blue.