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XAT 2018 Linear and Quadratic Equations — Previous Year Question

Paper

XAT 2018

Section

Quantitative

Topic

Linear and Quadratic Equations

Difficulty

Medium

Question

XAT 2018

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 de nitely 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 de nitely correct

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