A public holiday is always celebrated on the third Wednesday of a certain month. In that month, the holiday cannot occur on which of the following days?
(A) $16^{\text {th }}$
(B) $22^{\text {nd }}$
(C) $18^{\text {th }}$
(D) $19^{\text {th }}$
(E) $21^{\text {st }}$
The first Wednesday of a month must occur on one of the first 7 days of a month, that is, the $1^{\text {st }}, 2^{\text {nd }}, 3^{\text {rd }}, 4^{\text {th }}, 5^{\text {th }}, 6^{\text {th }}$, or $7^{\text {th }}$ of the month.

The second Wednesday of a month occurs 7 days following the first Wednesday of that month, and the third Wednesday of a month occurs 14 days following the first Wednesday of that month.

Adding 14 days to each of the possible dates for the first Wednesday of the month, we get that the third Wednesday of a month must occur on the $15^{\text {th }}, 16^{\text {th }}, 17^{\text {th }}, 18^{\text {th }}, 19^{\text {th }}, 20^{\text {th }}$, or $21^{\text {st }}$ of that month.

Of the given answers, the public holiday cannot occur on the $22^{\text {nd }}$ of that month.

ANSWER: (B)