We have two unknown positive integers m and n, whose product

M: +1.00/-0.00

We have two unknown positive integers m and n, whose product is less than 100.

There are two additional statement of facts available:
mn is divisible by six consecutive integers { j, j + 1,...,j + 5 }
m + n is a perfect square.

Which of the two statements above, alone or in combination shall be sufficient to determine the numbers m and n?

[MBA XAT 2019]

A Each statement alone is suﬃcient to answer the question. B

B Both statements taken together are suﬃcient to answer the question, but neither statement alone is suﬃcient.

C Statement 2 alone is suﬃcient, but statement 1 alone is not suﬃcient to answer the question.

D Statements 1 and 2 together are not suﬃcient, and additional data is needed to answer the question.

E Statement 1 alone is suﬃcient, but statement 2 alone is not suﬃcient to answer the question.