Discrete Mathematics Questions and Answers – Logic Circuits

This set of Discrete Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Logic Circuits”.

1. If there are ‘M’ switches in series numbered from 1, 2, …, M. For circuit to be complete and bulb to glow which of the following is necessary?
a) 1∧ 2∧ 3 ∧ … ∧M should be on
b) 1∧ 2∧ 3 ∧ … ∧M should be off
c) 1 v 2 v 3 v … v M should be on
d) None of the mentioned
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2. If there are ‘M’ switches in parallel numbered from 1, 2, …, M. For circuit to be complete and bulb to glow which of the following is necessary
a) 1∧ 2∧ 3 ∧ … ∧M should be on
b) 1∧ 2∧ 3 ∧ … ∧M should be off
c) 1 v 2 v 3 v … v M should be on
d) None of the mentioned
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3. In the circuit shown the lamp will be glowing if _________

a) P: True, Q: False
b) P: True, Q: True
c) P: False, Q: False
d) None of the mentioned
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4. In this circuit shown the lamp will be glowing if _________

a) P: True, Q: True, R: False
b) P: True, Q: True, R: True
c) P: False, Q: False, R: True
d) None of the mentioned
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5. Which statement should be true in order for lamp to glow?

a) (R ∧ (~(P ∧ Q))
b) P∧R∧Q
c) P ∧ (Q ∧ ~R)
d) None of the mentioned
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6. If it is given that switch R is closed and Q is closed then lamp will glow if _________

a) P: Open, S: Closed
b) P: Open, S: Open
c) P: Closed, S: Closed
d) None of the mentioned
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7. The circuit depend on which switch/switches state to be complete?

a) P
b) Q
c) Both P and Q
d) None of the mentioned
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8. The ten switches A,B,C,D,E,F,G,H,N,M are placed in the given circuit (all are open at given time). If you close one switch you need to pay 1 unit cost. What is the cost you need to pay to glow this Lamp?

a) 1 unit
b) 2 units
c) 3 units
d) 4 units
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9. If in a for it to be complete it is necessary for switch A to be closed and either of switch B or C to be closed, then which can be true?
a) Switch A should in parallel with B and C is series to them
b) Switch A should be in series with a parallel circuit of B and C
c) All of the mentioned
d) None of the mentioned
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10. The given circuit can work if the switches P and Q be ___________

a) P: True, Q: False
b) P: True, Q: True
c) P: False, Q: False
d) All of the mentioned
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Sanfoundry Global Education & Learning Series – Discrete Mathematics.

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