in Verbal Aptitude
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1 vote
1 vote
If the milkman doesn’t deliver milk or the geyser doesn’t work, then Akash will be late for school and lunch will be cooked late. Suppose lunch was actually cooked on time.

Which of the following is definitely true?

(a) Akash was late for school

(b) Geyser worked

(c) Akash reached school in time

(d) Milkman did not deliver milk
in Verbal Aptitude
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1 Answer

2 votes
2 votes
The answer should be B.

Let P ≡ Milkman does not deliver milk, Q ≡ Geyser does not work, R ≡ Akash is late for school, S ≡ Lunch is cooked late.

The statement is

(P ⋁ Q) => (R ⋀ S)

The contrapositive statement equivalent to this statement is

⌐(R ⋀ S) => ⌐(P ⋁ Q)

≡ ⌐R ⋁ ⌐S => ⌐P ⋀ ⌐Q

Now since it is given Lunch is cooked on time hence ⌐S is true which makes the left hand side of the logic to be true. Hence this implies Both Milkman delivers milk and the Geyser works

Thus option B is correct.

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