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| Answer: 14. |
| If the bulb breaks when dropped from 14th ft, then we need 13 more attempts 1-13 : total 14 attempts. |
| If the bulb survives at 14th ft and breaks when dropped from 27th ft, then we need 12 more attempts 15-26 : total 14 attempts. |
| If the bulb survives at 14th, 27th ft and breaks when dropped from 39th ft, then we need 11 more |
| attempts 28-37 : total 14 attempts. |
| In the similar way, if the bulb survives at 14th, 27th, 39th, 50th, 60th, 69th, 77th, 84th, 90th, |
| 95th ft and breaks when dropped from 99th ft, then we need 3 more attempts 96 - 98 : total 14 attempts |
| If the bulb survives at 14th, 27th, 39th, 50th, 60th, 69th, 77th, 84th, 90th, 95th, 99th ft and |
| breaks when dropped from 100th ft - only 12 attempts. |
| Based on this analysis, we need a minimum of 14 attempts to decide the safe dropping height. |
| Winners:Sravya Ainapurapu. |
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