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CAT 2025 Linear and Quadratic Equations — Previous Year Question

Year

CAT 2025

Section

Quantitative

Topic

Linear and Quadratic Equations

Difficulty

Hard

Question

Slot-2

The equations 3x2−5x+p=03x^2 - 5x + p = 0 and 2x2−2x+q=02x^2 - 2x + q = 0 have one common root. The sum of the other roots of these two equations is

23−p+32q\dfrac{2}{3} - p + \dfrac{3}{2}q

83+p+13q\dfrac { 8 } { 3 } + p + \frac { 1 } { 3 } q

23−2p+23q \dfrac { 2 } { 3 } - 2 p + \frac { 2 } { 3 } q

83−p+32q\dfrac { 8 } { 3 } - p + \frac { 3 } { 2 } q

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