Engineering Questions with Answers - Multiple Choice Questions

# MCQs on Logics – Propositions

1 - Question

Which of the following statement is a proposition?
a) Get me a glass of milkshake
b) God bless you!
c) What is the time now?
d) The only odd prime number is 2

Explanation: Only this statement has got the truth value which is false.

2 - Question

The truth value of ‘4+3=7 or 5 is not prime’.
a) False
b) True

Explanation: Compound statement with ‘or’ is true when either of the statement is true. Here the first part of the statement is true, hence the whole is true.

3 - Question

Which of the following option is true?
a) If the Sun is a planet, elephants will fly
b) 3 +2 = 8 if 5-2 = 7
c) 1 > 3 and 3 is a positive integer
d) -2 > 3 or 3 is a negative integer

Explanation: Hypothesis is false, thus the whole statement is true.

4 - Question

What is the value of x after this statement, assuming the initial value of x is 5?
‘If x equals to one then x=x+2 else x=0’.
a) 1
b) 3
c) 0
d) 2

Explanation: If condition is false so value decided according to else condition.

5 - Question

Let P: I am in Bangalore.; Q: I love cricket.; then q -> p(q implies p) is?
a) If I love cricket then I am in Bangalore
b) If I am in Bangalore then I love cricket
c) I am not in Bangalore
d) I love cricket

Explanation: Q is hypothesis and P is conclusion. So the compound statement will be if hypothesis then conclusion.

6 - Question

Let P: If Sahil bowls, Saurabh hits a century.; Q: If Raju bowls, Sahil gets out on first ball. Now if P is true and Q is false then which of the following can be true?
a) Raju bowled and Sahil got out on first ball
b) Raju did not bowled
c) Sahil bowled and Saurabh hits a century
d) Sahil bowled and Saurabh got out

Explanation: Either hypothesis should be false or both (hypothesis and conclusion) should be true

7 - Question

. The truth value ‘9 is prime then 3 is even’.
a) False
b) True

Explanation: The first part of the statement is false, hence whole is true.

8 - Question

Let P: I am in Delhi.; Q: Delhi is clean.; then q ^ p(q and p) is?
a) Delhi is clean and I am in Delhi
b) Delhi is not clean or I am in Delhi
c) I am in Delhi and Delhi is not clean
d) Delhi is clean but I am in Mumbai

Explanation: Connector should be ‘and’, that is q and p.

9 - Question

Let P: This is a great website, Q: You should not come back here. Then ‘This is a great website and you should come back here.’ is best represented by?
a) ~P V ~Q
b) P ∧ ~Q
c) P V Q
d) P ∧ Q

Explanation: The second part of the statement is negated, hence negation operator is used.

10 - Question

. Let P: We should be honest., Q: We should be dedicated., R: We should be overconfident. Then ‘We should be honest or dedicated but not overconfident.’ is best represented by?
a) ~P V ~Q V R
b) P ∧ ~Q ∧ R
c) P V Q ∧ R
d) P V Q ∧ ~R