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Question 10 : Two different quadratic equations have a common root. Let the three unique roots of the two equations be A, B and C - all of them are positive integers. If (A + B + C) = 41 and the product of the roots of one of the equations is 35, which of the following options is definitely correct?

- The common root is 29.
- The smallest among the roots is 1.
- One of the roots is 5.
- Product of the roots of the other equation is 5.
- All of the above are possible, but none are definitely correct.

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**Choice C** is the correct answer.

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