Statement I is correct. Anadyr, located in Russia's Chukotka region (Siberia), and Nome, situated in Alaska, USA, are geographically close, separated by the Bering Strait. However, the International Date Line (IDL) passes between these two locations. Anadyr lies to the west of the IDL, placing it significantly ahead in time (approximately 20-21 hours) compared to Nome, which is to the east of the IDL. This substantial time difference results in the two cities being on different calendar days, meaning that when people are starting their day in one, it could be the previous or next day in the other.
Statement II is incorrect. While the International Date Line causes a one-day difference, the direction of this difference is crucial. Locations to the west of the IDL are ahead in time, and those to the east are behind. Therefore, if it is Monday in Anadyr (west of IDL), it would be the previous day, Sunday, in Nome (east of IDL), not Tuesday.
Option (2) is incorrect because Statement II is factually inaccurate.
Option (3) is incorrect as only Statement I is true.
Option (4) is incorrect because Statement I is correct.