12th Maharashtra board PYQ
MATHS
CHAPTER 01 MATHEMATICAL LOGIC
1 Mark Question
1. Write the dual of p^~p=F [Feb 2020]
2. If the statement p, q are true statements and r, s are false then determine the truth value of )d → q) v (r→s) [July 2020]
2 Marks
Questions 1. Write down the following statements in symbolic form :
(a) A triangle is equilateral if and only if it is equiangular.
(b) Price increases and demandfalls. [Mar 2023]
2. If A = {2, 3, 4, 5, 6}, then which of the following is not true? [Oct 2013]
(a) Эх∈A such that x+3 = 8
(b) Зхє A such that x+2<5
(c) Эх∈ A such that x+2<9
(d) Vx∈ A such that x+6≥9
3. Write the dual of the following statements:
(a) (pvq) T
(b) Madhuri has curly hair and brown eyes. [Mar 3014]
4. Write truth values of following statements
(a) √5 is an irrational number but 3+√5 is a complex number
(b) 3neN such that n+5>10 [Oct 2014]
5. Write the converse and contrapositive of the statement
"If two triangles are congruent then their areas are equal. [Mar 2015]
6. If p^q=F, p → q = F, then the . truth value of p and q is
(a) T, T (c) F, T
(b) T, F (d) F, F [Oct 2015]
7. The negation of p^(q→r) is
(a) pv (~ qvr )
(b) ~p ^ (qr)
(c)~p^(~q→~r)
(d)~pv(qv~r) [Mar 2016]
8. If p, q, r are the statements with truth values T, F, T, respectively then find the truth value of (r^q)→~p
[July2016]
9. Write the following statement in symbolic form and find its truth value : [Mar 2017]
.
