Only six roads A, B, C, P, Q and R connect a military camp to the rest of the country. Only one out of A, P an

Question

Only six roads A, B, C, P, Q and R connect a military camp to the rest of the country. Only one out of A, P and R is open at any one time. If B is closed, so is Q. Only one of A and B is open during storms. P is closed during floods. In this context, which one of the following statements is correct?

Accepted Answer

To solve this, we examine the given conditions and the options provided.

Condition 1 states that exactly one road out of A, P, and R is always open. This means that at any given time, regardless of the weather or situation, one road from this specific set must be open.

Now, let us analyze Option B: During storms at least one road is open.

According to Condition 1, one road among A, P, or R is always open. Even if a storm occurs, this rule holds true. While Condition 3 adds a restriction that only one of A or B can be open during a storm, it does not change the fact that if A is closed, P or R must be open to satisfy Condition 1.

Therefore, because the set A, P, R always has exactly one road open, it is impossible for all roads to be closed at once. This makes Option B logically certain: at least one road will always be open during a storm.

Options A and C cannot be determined as we do not have enough information about roads B, C, and Q under those specific conditions. Option D is incorrect because Condition 1 ensures one road is always open.

Answer

Under normal conditions only three roads are open

Answer

During storms at least one road is open

Answer

During floods only three roads are open

Answer

During calamities all roads are closed.

Only six roads A, B, C, P, Q and R connect a military camp to the rest of the country. Only one out of A, P and R is open at any one time. If B is closed, so is Q. Only one of A and B is open during storms. P is closed during floods. In this context, which one of the following statements is correct?

Explanation

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