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Question

Find the length of the longest rod that can be placed in a room 16 m long , 12 m broad and `10 2/3` m high.


Options:
A .  `22 1/3` m
B .  `22 2/3` m
C .  23 m
D .  68 m
Answer: Option B

Required length  = `sqrt((16)^2 + (12)^2 + (32/3)^2)` m

                           = `sqrt(256 + 144 + 1024/9)` m 

                            = `sqrt(4624/9)` m = `68/3` m = `22 2/3` m.



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