vijay_venky wrote:The sentence gives equal weight to three things.

1. explanation of the value and workings of archaeology.
2. Revelation of the mysteries of past and present cultures.
3. Promotion of respect for archaeological sites.

So the three of them should be parallel. This calls for a use of among and my take is B.

mgmt_gmat wrote:In archaeology, there must be a balance between explanation
of the value and workings of archaeology, revealing the mysteries
of past and present cultures, and to promote respect for
archaeological sites.

A. between explanation of the value and workings of archaeology,
revealing the mysteries of past and present cultures,
and to promote - explanation, revealing and to promote are not parallel .ELIMINATE

B. among explaining the value and workings of archaeology,
revealing the mysteries of past and present cultures,
and promoting - explaining,revealing and promoting are parallel .CORRECT

C. between explaining the value and workings of archaeology,
revealing the mysteries of past and present cultures, and when promoting -explaining , revealing are parallel. But when is not required before promoting. ELIMINATE

D. among explaining the value and workings of archaeology, the
revelation of the mysteries of past and present cultures, and to promote
- explaining , the revelation and to promote . not parallel - ELIMINATE

E. between explaining archaeology's value and workings, in the
revealing the mysteries of past and present cultures,
and in promoting - in revealing and in promoting not required . ELIMINATE