Will it be cosidered as a mistake if the elements or members of a roster form set is being repeated? Example:{x:x is a fruit} Answer-{letters of the fruit APPLE} OR {letters of the fruit APLE}? which of these answers are correct?

It depends on the question.

In the case you mentioned, the relation is that x is a fruit.

So, we are just bothered with the name of the fruit, not the spellings.

So, just write the name of fruit as APPLE.

Had it been that x is the fruit in which the letters do not repeat, then the fruit APPLE, will not belong to the set.

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{x:x is a fruit}

correct answer : {APLE}

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