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Question 20 : We have two unknown positive integers m and n, whose product is less than 100.

There are two additional statement of facts available:

1. mn is divisible by six consecutive integers { j, j + 1,...,j + 5 }

2. 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?

- Each statement alone is suﬃcient to answer the question.
- Both statements taken together are suﬃcient to answer the question, but neither statement alone is suﬃcient.
- Statement 2 alone is suﬃcient, but statement 1 alone is not suﬃcient to answer the question.
- Statements 1 and 2 together are not suﬃcient, and additional data is needed to answer the question.
- Statement 1 alone is suﬃcient, but statement 2 alone is not suﬃcient to answer the question.

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

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**Choice B** is the correct answer.

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