If \alpha and \beta are the least positive integers such that for all n \in N , n^{3}+\alpha n is divisible by 3 and n^{3}-\beta n is divisible by 6 , then \alpha+\beta=

TS EAMCET 06 May 2019 Shift 1 Solved Paper

Section: Mathematics

Question : 3 of 160

Marks: +1, -0

If α and β are the least positive integers such that for all n∈N,n3+αn is divisible by 3 and n3−βn is divisible by 6 , then α+β=

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