The distribution of mass within the core of the Earth,like
the mantle that surrounds the core, has been deduced from the orbital behavior of the Earth andthe motions of satellites controlled by the Earth’s gravity.
(A) the mantle that surrounds the core
(B) that
within the mantle surrounding the core
(C) that
of the mantle surrounding the core
(D) the mantle the core surrounds
(E) the distribution of mass within the mantle that surrounds the core
The contention seems to be between (B) and (C). 'That' is clearly correct in both cases, as it refers to 'the distribution of mass.' The main difference between the two answers is (B) has '...within the mantle' and (C) has 'of the mantle.'
Notice that the non-underlined part has 'the distribution of mass within the core...' There needs to be parallelism here, in the sense that we want to be comparing '...mass within the core...' to 'that within the mantel'. Therefore the answer is (B).
Hope that helps

.