Draw 5 slots as there are 5 items. And as the median is 216, we can fix the 3rd position as follows.
Also, as the average is 200, the sum of 5 lengths should be 200×5=1000
_____ + _____ + 216 + ____ + ____ = 1000
The question is asking for the maximum possible value for the shortest piece of wood.
In order to make the shortest length (1st slot) as maximum as possible, all other values should be as minimum as possible.
The minimum value which we can assign for 4th and 5th slot is 216 as they are not mentioning mode. So, the list becomes as follows:
_____ + _____ + 216 + 216 + 216 = 1000
The sum of the last three terms = 648
So, the sum of 1st two terms = 1000 – 648= 352
In order to maximize the value of the 1st slot, but still be the shortest, both the 1st and 2nd slots should have equal values. So, 352/2=176.
176 + 176 + 216 + 216 + 216 = 1000
Hence, the answer is B.