Mathematical logic:Class 12th

Mathematical logic
Q1. State the truth value of following statements.   (5)

a) Every real no. is complex no.

b) The sum of interior triangle is 180°.

c) The square of every real number is positive.

d) Square of an odd no. is odd.

e) Every set is a finite set.

Q2. Express following statements in symbolic form.(5)
A. Paris is in England and Rome is in Italy.
B. 2+3=5 or √2+√3=√5
C. 2 is rational number or √2 is irrational number.
D. P M will visit to either Pune or Mumbai.
E. Either we play football or go for cycling.
Q3. Find the truth value of following statements.    (2)
1. (~q ⋀p) ⋀ q
2. [P ⋀ (p⟶q)]⟶q
Q4. Construct a truth table for the following logic expression.                                                                    (3)
 p ⋀ q =~(p⟶~q)
Q5. Find the truth value                                             (4)
If p and q are the true and r and s are false statements, Find the truth value of the following

1. (p ⋀ q) V r
2. p ⋀ (r⟶s)
3. (p V s) ↔️ (q ⋀ r)
4. ~(p ⋀~r) V (~q V s)