MHT-CETPrevious Years' Questions
1. p:A man is happy i3. Which of the following statement is not a
q:The man is rich. statement in logic? [2005]
The symbolic representation of "If a man is not (A) Earth is aplanet.
rich then he is not happv is |2004] (B) Plants are living object.
(A) ~p’q (B) (C) J9 isa rational number.
(C) p’4 (D) p’~q (D) Iam lying.
2. IfU: Set of all days, 4 Negation of (p Aq)’(-pv) is [2005]
S: Set of Sundays, (A) (pv)a(pA~)
H:Set of holidays, then, (B) (pAq) v(par)
Venn diagram for "Sunday implies holiday" is (C) (pa)a (pA~)
|2004] (D) (pv) v(pa~n)
(A) U
H 5. Negation of p > q is [2005]
S (A) ( p )v(pA)
(B) (p A~)v(qA~P)
(C) (-pa) v(qap)
(B) U (D) (pA ) v(qap)
H 6. Negation of the statement A is rich but silly' is
[2006]
(A) Either A is not rich or not silly.
U
(B) A is poor or clever.
(C) S (C) A is rich or not silly.
H (D) A is either rich or silly.
7. The negation of the statement given by
"He is rich and happy" is [2006]
(D) U (A) He is not rich and not happy
(B) He is rich but not happy
(sOH (C) He is not rich but happy
(D) Either he is not rich or he is not happy
If p:* > y; q > Z;r:x > z, then which of the 18. Simplified logical expression for the following
options represents If x>y and y > z, then switching circuit is
r>z'?
|2006)
(A) (pv)’r (B) (pv) -’q
(C) (p ~q)’q (D) (pA)a4
9.
Jfp and qare true statements in logic, which of
the following statement pattern is tue? |2007] [2010]
(A) (pv)A~q (B) (pv)’ q (A) p (B) 4
(C) (p A~)’ q (D) (PA q) Aq (C) p' (D) p^4
10. ~(pA) is equivalentto |2007| 19. Let p: Boys are playing
(A) pnq (B) p’q q: Boys are happy
the equivalent form of compound statement
(C) pvq (D) p 4 ~pvqis [2013]
11. (p’ p)v(p’p)is equivalent to |2008] (A) Boys are not playing or they are happy.
(A) T’F (B) pAp
(B) Boys are not happy or they are playing.
(C) Boys are playing or they are not happy.
(C) Tp (D) T>F
Boys are not playing or they are not happy.
(D)
p: Ram is rich
12
q: Ram is successful
20. Let p : A triangle is equilateral, q : A triangle is
equiangular, then inverse of q’pis (2013]
r: Ram is talented (A) Ifa triangle is not equilateral then it is not
Write the symbolic form of the given statement. equiangular.
Ram is neither rich nor successful and he is not (B) If a triangle is not equiangular then it is not
talented [2008] equilateral.
(A) pa~q v (B) p v~qa (C) If a triangle is equiangular then it is not
equilateral.
(C) pv ~qvT (D) If a triangle is equiangular then it is
(D)
13. (pa q)v (~q^p) = [2009] equilateral.
(A) qvp (B) 21. Ifp: Every square is arectangle
(C) (D) pAq q: Every rhombus is a kite then truth values of
p ’ q and p ’ q are and
14. Negation of (~p ’ ) is [2009]
respectively. [2016]
(A) ~pv ~g (B) pAq (A) F, F (B) T,F
(C) (D) ~pvq (C) F,T (D) T, T
15. If 22. Which of the following quantified statement is
true ? [2016]
(A) The square ofevery real number is positive
(B) There exists a real number whose square
is negative
(C) There exists a real number whose square
then the symbolic form is [2009) is not positive
(D) Every real number is rational
(A) (p v q) pvr)
(B) (p ng) v(pvr) 23.
(C) (p A)a pAr) S S
(D) (pA)ar
16. then
IT (pa g) ’ ( p v r ) is a false statement, S S
respective truth values of p, q and rare
|2010]
(A) T, F,F (B) F, T, T
(C) T, T, T (D) F, F, F
Symbolic form of the given switching circuit is
17. Negation of the statement p’qis |2010) equivalent to [2016]
(A) pv4 (B) (A) pV ~q (B)
(C) (D) pAq (C) pt>q (D) p>)
