2025 · Q60
Four cylindrical drums, each of radius 1 m, are placed such that each one touches other two drums. A sewer pipe is to be placed through the gap of these drums. What could be the maximum possible radius for this pipe?
general-mental-abilityquantitative-aptitude
- A(√2 + 1) m
- B(√2 − 1) m
- C(π√2 − 1) m
- D(π√2 + 1) m
Explanation
The four drum centres form a square of side 2 m (each drum of radius 1 m touches its two neighbours). The centre of the square is at distance sqrt(2) from each drum's centre. The largest pipe fitting in the central gap has radius equal to this distance minus the drum radius: sqrt(2) - 1 metres.