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CAT 2000 | Question: 94

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2 2 votes

Let x=72 and y=17

55 + 17 = 72

Use formula

$(x-y)^{3}=x^{3} -y^{3}-3x^{2}y+ 3xy^{2} = x^{3} -y^{3}-3xy(y-x)$

$(72-17)^{3}=72^{3} -17^{3}-3*72*17(17-72)$ 

$55^{3}+17^{3} -72^{3}=3*72*17*55$

N is divisible by both 3 and 17.

 

Hence,option (4).Both 3 and 17.

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