# XAT 2018 Question Paper | Quantitative Aptitude and Data Interpretation

###### XAT Previous Year Paper | XAT QADI Questions | Question 10

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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?

1. The common root is 29.
2. The smallest among the roots is 1.
3. One of the roots is 5.
4. Product of the roots of the other equation is 5.
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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