Question

25:49::35:512::27:81::42:?​

Answer 1

Answer:

2+7 =9 9²=81

4+2=6 6³=216

Answer 2

SOLUTION

TO DETERMINE

25 : 49 :: 35 : 512 :: 27 : 81 :: 42 : ?

EVALUATION

Here it is given that

25 : 49 :: 35 : 512 :: 27 : 81 :: 42 : ?

First we find the pattern

For 25 : 49

25 : 49 = 25 : ( 2 + 5 )²

For 35 : 512

35 : 512 = 35 : ( 3 + 5 )³

For 27 : 81

27 : 81 = 27 : ( 2 + 7 )²

Thus we see for a number ab the second number is

$\sf{ {(a + b)}^{a} }$

More precisely we have

$\sf{ ab : {(a + b)}^{a} }$

So for 42 we have

$\sf{ 42 : {(4 + 2)}^{4} }$

$\sf{ \implies \: 42 : 1296}$

FINAL ANSWER

25 : 49 :: 35 : 512 :: 27 : 81 :: 42 : 1296

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