Consider the following statements:

1. Saint Nimbarka was a contemporary of Akbar.

2. Saint Kabir was greatly influenced by Shaikh Ahmad Sirhindi.

Which of the statements given above is/are correct?

The correct answer is Neither 1 nor 2.

Let us analyze both statements step-by-step to understand why neither of them is correct:

Analysis of Statement 1:
Saint Nimbarka (also known as Nimbarkacharya) was a prominent philosopher and theologian who founded the Dvaitadvaita (dualistic non-dualism) school of Vedanta philosophy. Historical estimates place his period around the 12th century CE or 13th century CE.
Emperor Akbar ruled the Mughal Empire from 1556 CE to 1605 CE (16th century CE).
Since Saint Nimbarka lived centuries before Akbar, he was not a contemporary of Akbar. (Note: Saint Ramdas and Saint Tulsidas were contemporaries of Akbar). Thus, Statement 1 is incorrect.

Analysis of Statement 2:
Saint Kabir was a 15th-century mystic poet and saint who lived roughly between 1398 CE and 1448 CE (or early 16th century). He was primarily influenced by Swami Ramananda and belonged to the Nirguni Bhakti movement.
Shaikh Ahmad Sirhindi (1564 CE – 1624 CE) was an Islamic scholar and Naqshbandi Sufi saint of the late 16th and early 17th centuries, living during the reign of Akbar and Jahangir.
Since Shaikh Ahmad Sirhindi was born long after Saint Kabir's time, Saint Kabir could not have been influenced by him. Thus, Statement 2 is also incorrect.

Since both statements 1 and 2 are incorrect, the correct option choice is Neither 1 nor 2.