Exp) option a is the correct answer.

Anadyr is a town located in the far eastern part of Russia in the region of Chukotka, and Nome is a town in western Alaska, USA. Although they are geographically close — separated only by the Bering Strait — they lie on opposite sides of the International Date Line (IDL). The IDL is an imaginary line, roughly along the 180° longitude, where the calendar date changes by one day when crossed.

Statement I is correct. Anadyr in Russia and Nome in Alaska are geographically close and separated only by the Bering Strait. However, they lie on opposite sides of the International Date Line (IDL). This means that although it may be the same clock time, say, 8:00 AM in both places, the calendar date would be different. For example, if it’s Monday morning in Anadyr, it would still be Sunday morning in Nome. The IDL causes this one-day difference despite the small distance between the two locations.

Statement II is incorrect. When it is Monday in Anadyr, it cannot be Tuesday in Nome. In fact, it’s the reverse. Nome lags behind Anadyr by a day. So if it is Monday in Anadyr, it is still Sunday in Nome. The International Date Line adds a day as one travels westward, and subtracts a day as one travels eastward — which makes Russia (west of the IDL) ahead of the U.S. (east of the IDL).

Source:

 https://www.worldatlas.com/geography/international-date-line.html

https://www.ottsworld.com/blogs/anadyr-russia-travel/