Multiple Choice Questions

a b 1 b c 2 and c a 3 then the value of a3 b3 c3 3abc a b c is ........

Quantitative Aptitude (RRB NTPC) Algebra

(a-b) = 1, (b-c) = 2 and (c-a) = 3 then the value of (a³+b³+c³-3abc)/(a+b+c) is

(a³+b³+c³-3abc)/(a+b+c)
=1/2[(a-b)²+(b-c)²+(c-a)²]
= ½(1+4+9)
= 14/2 = 7
Hence, option 3 is the correct answer.

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