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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 ?
1. Under normal conditions only three roads are open.
2. During storms at least one road is open.
3. During floods only three roads are open.
4. During calamities all roads are closed.

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Correct Answer - Option 2 : During storms at least one road is open.

Given: Six roads :  A, B, C, P, Q and R

i) Only one out of A, P and R is open at any one time.

A/P/R 

ii)  If B is closed, so is Q.

B (no) → Q (no)

iii) Only one of A and B is open during storms.

Storms : A /B

iv) P is closed during flood.

Floods : P(no)

1)Under normal conditions only three roads are open. → False (as it is possible but not definite)

2) During storms at least one road is open. → True (as either A or B is open during storm)

3) During floods only three roads are open. → False (as it is possible but not definite)

4) During calamities all roads are closed. → False (as either A or B is open during storms)

Hence, 'During storms at least one road is open.' is the correct answer.

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