Which is which?
Five Chinese young ladies - Alice, Brenda, Crystal, Dora and Emma - were sitting at a round table. We know the following facts:
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Xiao Fei was sitting in between Xiao Guang and Xiao Ing.
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Emma was sitting in between Alice and Xiao Hong.
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Xiao Ing was sitting in between Emma and Crystal.
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Brenda was sitting in between Xiao Guang and Xiao Juan.
Based on the above, Dora's Chinese name must be Xiao _ __ ?
(I) Fei
(II) Guang
(III) Hong
(IV) Ing
(V) Juan
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1 solution
The first girl whose Chinese name we can determine is Brenda. Considering fact 4, Xiao Juan is two places away from Xiao Guang on one side. In other words, Xiao Juan---Brenda---Xiao Guang. Considering fact 1, Xiao Ing is also two places away from Xiao Guang. This tells us that Xiao Ing and Xiao Fei must be on opposite sides of Xiao Guang as having the same number of places away from Xiao Guang, they cannot be identical. Hence, we have Xiao Guang---Xiao Fei---Xiao Ing.
Combining these two, Xiao Juan---Brenda---Xiao Guang---Xiao Fei---Xiao Ing. We have eliminated four out of five possible Chinese names for Brenda so obviously, her Chinese name must be Xiao Hong.
Now considering fact 2, Emma is beside Xiao Hong (Brenda) so she is either Xiao Juan or Xiao Guang. Considering fact 3, Emma is also beside Xiao Ing so she is either Xiao Juan or Xiao Fei. The only possibility satisfying both is if Emma's Chinese name is Xiao Juan.
Then Crystal's Chinese name would be Xiao Fei while Alice's would be Xiao Ing. This leaves Dora's Chinese name to be:
Xiao G u a n g