Algebra Q#4
0. If a/b = b/c = c/d, then (b3 + c3 + d3 ) / (a3 + b3 + c3 ) will be equal to
- Option : D
- Explanation : Let a/b = b/c = c/d =k.
⇒ a=bk=ck2=dk3, b=dk2 and c=dk.
(b3 + c3 + d3 ) / (a3 + b3 + c3 ) = [(dk2)3 + (dk)3 + d3 ]/ [(dk3)3 + (dk2)3 + (dk)3 ]
=d3 [ K6 + K3 +1] / d3 [K9 + K6 + K3 ]
=[ K6 + K3 +1]/K3 [ K6 + K3 +1]
=1/K3 =1/a/d =d/a
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