Hi , hope you are doing great.

For cracking this entrance exam, you should focus on making your grammar and comprehension strong.
You should also focus on reading good literary essays on internet.
On coming on books now, you can prepare from these books as well:

Arihant Objective English by S.P. Bakshi
English Grammar and Composition by S.C. Gupta
You should also read poems from famous authors and get the key idea about it.
Focus on vocabulary as well.

You can also refer to books by Wren and Martin English Grammar and Composition.
You can also purchase a book especially for entrance of B.A. Honours in English for practice as well.

Hope it helps.

Best wishes