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Quantitative Aptitude

Solving Inequalities

I. x2-18 x+72...

Question

I. $x^{2} - 18 x + 72 = 0$
II. $y^{2} - 15 y + 44 = 0$

A

if x > y

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B

if x >= y

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C

if x <= y

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D

if x = y or relationship between x and y cannot be determined

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Solution

The correct option is D if x = y or relationship between x and y cannot be determined
$x^{2} - 18 x + 72 = 0 x^{2} - 12 x - 6 x + 72 = 0 x (x - 12) - 6 (x - 12) = 0 (x - 6) (x - 12) = 0 x = 6, 12 N o w, y^{2} - 15 y + 44 = 0 y^{2} - 11 y - 4 y + 44 = 0 y (y - 11) - 4 (y - 11) = 0 y = 4, 11$
$∴$ Relationship between x and y cannot be determined.

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