Final answer:
In the given analogy, 'Peculiar' is to what 'Mysterious' is to 'Secretive.' The word 'Odd' best matches 'Peculiar,' as both terms imply something unusual or strange, making 'c) Odd' the correct answer.
Step-by-step explanation:
The comparison posed by the student's question is one of analogy, which requires identifying the relationship between the first pair of words to find a corresponding word that has the same relationship to 'Peculiar.' If 'Mysterious' corresponds to 'Secretive' in terms of being hidden or not immediately known, then we need to find a word that relates to 'Peculiar' in a similar way.
'Peculiar' means something that is strange or unusual, therefore the word that best fits the analogy is one that emphasizes this quality. From the given options:
Common - This is the opposite of peculiar.
Normal - This also denotes the opposite of being strange or unusual.
Odd - This word aligns with the meaning of peculiar as both imply something unusual or strange.
Vague - This term refers to something unclear or poorly defined, which does not directly relate to the idea of being peculiar.
In conclusion, the correct answer is 'c) Odd', as it is the term that best maintains the similar relationship of being unusual or strange.