Question

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?

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

Answer 1

Answer: (B)

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

Answer 2

The correct option is (B): Both statements taken together are sufficient to answer the question, but neither statement alone is sufficient..