Sample Paper of Maths(BCA-1)
8. What is contra positive of
A student, who studies well, will pass.
If a student does not pass, then he does not study well.
If a student passes, then he studies well.
If a student studies well, then he will pass.
If a student does not study well, then he will not pass.
9. Which of the following is a contradiction?
q ( p
~p v (p v q)
(p ^ q) ^ (~p)
r ^ (~r v ~s)
10. (~p ^ (~q ^ r)) v (q ^ r) v (p ^ r) is logically equivalent to
T
p
q
r
11. In the Implication p ( q. p and q are called as respectively.
a) Antecedent and Hypothesis
b) Consequent and Conclusion
c) Antecedent and Consequent
d) None of these
12. A monoid is a semi Group which satisfies
Associative Law
Commutative Law
Identity property
Inverse property
13. The set Z under the Binary operation ‘ - ‘ is
Algebraic system
Semi Group
Monoid
Group
14. The set A = { 2,4,6,8,……} under the Binary Operation ‘ + ‘ is
Algebraic system
Semi Group
Monoid
Group
15. An Identity element for the set Z under the Binary operation ‘ X ‘ (multiplication)
-1
0
1
None of these
16. All Group are
Semi Group
Monoid
Abelian Group
Algebraic System
Only I
I and II
I , II and IV
I , II , III and IV
A student, who studies well, will pass.
If a student does not pass, then he does not study well.
If a student passes, then he studies well.
If a student studies well, then he will pass.
If a student does not study well, then he will not pass.
9. Which of the following is a contradiction?
q ( p
~p v (p v q)
(p ^ q) ^ (~p)
r ^ (~r v ~s)
10. (~p ^ (~q ^ r)) v (q ^ r) v (p ^ r) is logically equivalent to
T
p
q
r
11. In the Implication p ( q. p and q are called as respectively.
a) Antecedent and Hypothesis
b) Consequent and Conclusion
c) Antecedent and Consequent
d) None of these
12. A monoid is a semi Group which satisfies
Associative Law
Commutative Law
Identity property
Inverse property
13. The set Z under the Binary operation ‘ - ‘ is
Algebraic system
Semi Group
Monoid
Group
14. The set A = { 2,4,6,8,……} under the Binary Operation ‘ + ‘ is
Algebraic system
Semi Group
Monoid
Group
15. An Identity element for the set Z under the Binary operation ‘ X ‘ (multiplication)
-1
0
1
None of these
16. All Group are
Semi Group
Monoid
Abelian Group
Algebraic System
Only I
I and II
I , II and IV
I , II , III and IV
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