1.

Which of the following is an empty set ?A. `{x : x in N, x" is divisible by 2"}`B. `{x : x in N, x" is the additive inverse of "2016}`C. `{x : x" is a binary digit"}`D. { x : x is either prime or composite}

Answer» Correct Answer - B
(a) `{x : x in N, x" is divisible by 2"}`
`={2, 4, 6, ...}`
`:.` It is not an empty set.
(b) `{x : x in N, x" is an additive inverse of "2016}`
Additive inverse of 2016 is but `-2016 notin N`
`:.` It is an empty set.
(c) Binary digits are 0 and 1.
`:.` Given set is not an empty set.
(d) Except 1, every natural number is either prime ot composite.
`:.` Given set is not an empty set.
Hence, the correct option is (b)


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