8 : 81 : : 64 : ?

Solution

Expression = 8 : 81 : : 64 : ?

The pattern followed is = $$m^n:(m+1)^{n+1}$$

Eg :- $$(2)^3:(3)^4=8:81$$

Similarly, $$(4)^3=64$$

and $$(4+1)^{3+1}=(5)^4=625$$

=> Ans - (B)

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