Not every multiple of 4 is a multiple of 48 (For example, 8 [= 4 × 2] is a multiple of 4, but 8 is not a
multiple of 48). Hence, Statement (1) alone is not sufficient to answer the question.
Not every multiple of 6 is a multiple of 48 (For example, 12 [= 6 × 2] is a multiple of 6, but 12 is not a
multiple of 48). Hence, Statement (2) alone is not sufficient to answer the question.
A multiple of both 4 and 6 must be a multiple of the least common multiple of 4 and 6, which is 24. But
again, not every multiple of 24 is a multiple of 48 (For example, 72 [= 24 × 3] is a multiple of 24, but 72 is
not a multiple of 48). Hence, statements (1) and (2) together cannot answer the question. The answer is (E).