imhimanshu wrote:
Doubt 1-
However, what I failed to understand is why set should continue beyond -1/8 as we don't know the number of elements in the set, and since this is a must be true question, the below solution seems redundant to me.
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The logic is, if 1/2 is in the set, then -1/8 MUST be in the set. Knowing that -1/8 MUST be in the set, by the rule of formation of the set, (-1/8)ˆ3 and (-1/8)ˆ2 MUST also be in the set.. and so on.
imhimanshu wrote:
Doubt 2-
I am hopeful that I lack some understanding the above solution will most probably be correct. In that case, I want to understand what will be maximum no of elements in this set. Will this be an Infinite set.
Given that 1/2 (different from 0) is part of the set, then Yes, this is an infinite set!
imhimanshu wrote:
Doubt 3-
Will the answer behaved differently had this question been "Could be true"
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"could be true" problems try to play on POSSIBILITIES when a lack of some sort of restriction allows the items to be true, somehow. If the question was posed as "could be true", then ANY real number could be a part of the set. Think of it this way...
Could a real number X be a part of the set? Yes, if cbrt(-x) is part of the set (hypothesis), then x COULD be part of the set.
KUDOS +1 IF THIS HELPED YOU