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(D) The relationship between the numbers is $x^a : (x+1)^{(a+1)}$.For the first pair: $8 = 2^3$,so the next term is $(2+1)^{(3+1)} = 3^4 = 81$.For the

Vedclass · Accepted Answer

$625$

Vedclass · Answer

(D) The relationship between the numbers is $x^a : (x+1)^{(a+1)}$.For the first pair: $8 = 2^3$,so the next term is $(2+1)^{(3+1)} = 3^4 = 81$.For the second pair: $64 = 4^3$,so the missing term is $(4+1)^{(3+1)} = 5^4$.Calculating $5^4 = 5 	imes 5 	imes 5 	imes 5 = 625$.Therefore,the correct option is $D$.

Choose the correct alternative for the given relation.
$8 : 81 :: 64 : ?$

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Choose the correct alternative for the given relation.$8 : 81 :: 64 : ?$