If a a2 a3 ndash 1 0 then what is the value of a3 1 a ........

Quantitative Aptitude (CGL) Algebra

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If a + a²+ a³– 1 = 0, then what is the value of a³ + (1/a)?

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Explanation:

a³+a²+a=1 ———————————(1)
Taking a common
a(a²+a+1)=1
a²+a+1=1/a ——————————(2)
Now a³+1/a=??
From equation 2 put the value of 1/a in above equation
So it becomes
a³+a²+a+1
Now put the value of a³+a²+a from equation so
1+1
=2