The given notice is to inform students about a trekking trip to Nathu Pass which is being organised for the students of tenth standard. There are two dates mentioned in the sentence i.e. 1st June and 10th June. These are likely to be the starting and the ending dates of the trekking trip.
The preposition, 'from' indicates the point in time at which a particular process, event, or activity starts. The preposition, 'to' indicates the point in time until which a particular event or activity continues and then ends. Hence, the phrase, 'from 1st June to 10th June' indicates an activity or event which starts on 1st June and ends on 10th June. Hence, option A is the most appropriate to fill the bank no. 25 before the word, '1st June'.
The preposition, 'for' is used with a period of time to indicate the duration i.e how long an event or activity takes place. The given blank is followed by a date (1st June) and not a duration of time (Eg: ten days). Hence, option B is incorrect.
The preposition, 'on' is used with a date to indicate the exact date when an event or an activity happens. In the given sentence, the trekking event does not happen on a single date. It is a long trip which happens over a period of ten days. Hence, option C is incorrect.
The preposition, 'at' expresses the location or arrival in a particular place or position. It also expresses the time when an event takes place. Hence, option D is incorrect.