The correct answer is option 1, Hyphasis. Alexander the Great and his army crossed several rivers during their expedition in India, but they did not cross the river Hyphasis. It is important to understand the geographical context of Alexander`s campaign to comprehend why this river was not crossed.

Alexander`s campaign in India took place between 327 and 325 BCE. During this time, he crossed the river Indus and its tributaries. The rivers that were crossed by Alexander and his army include the Acesines (option 2), Hydraotes (option 3), and Hydaspes (option 4).

The Acesines, also known as the Chenab River, was crossed by Alexander during his battle against King Porus. The Hydraotes, now known as the Ravi River, and the Hydaspes, now known as the Jhelum River, were also crossed during the same campaign.

It is worth noting that the river Hyphasis, now known as the Beas River, is located in present-day India and flows through the states of Himachal Pradesh and Punjab. Alexander`s army did not cross it during their campaign, which is why the correct answer is option 1, Hyphasis.