Question
Quantitative Ability and Data Interpretation Question on Quadratic Equations
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?
A
The common root is 29.
B
The smallest among the roots is 1.
C
One of the roots is 5.
D
Product of the roots of the other equation is 5.
E
All of the above are possible, but none are definitely correct.
Answer
One of the roots is 5.
Explanation
Solution
The correct option is (C) : One of the roots is 5.