If x and y are positive integers, what is the value of x^(1/2)+y^(1/2) : Data Sufficiency (DS)

2021-03-25T04:21:42-07:00

[highlight]Solution:[/highlight] [b]St(1):-[/b] x + y = 15 Several values of x and y are possible and no unique value can be determined for x and y. [b](Insufficient)[/b] [b]St(2):-[/b] sqrt(xy) = 6 => xy =36 =>x=y=6 or x=3 and y=12 or x=12 and y=3 Thus we cannot determine a unique answer to √x + √y .[b](Insufficient)[/b] [b]On combining both,[/b] x + y = 15 & x=12 /y=3 or x=3 and y=12 (Since x=y=6 is not possible as x+ y =15) Either ways, √x + √ y = √12 + √3 or √3 + √12 yielding the same value. No other value is possible when combining both statements. [b][highlight](option c)[/highlight][/b] [b][color=#ec008c]Devmitra Sen(GMAT Quant Expert)[/color][/b]

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