Question

8 is related to 81 in the same way as 64 is related to ____
A) 225
B) 425
C) 525
D) 625

Answer 1

Answer:   D) 625 

Explanation:

The relationship is xy  :  (x+1)(y+1)xy  :  x+1y+1

 

Now , 64 = 4364 = 43

 

So, required number = (4+1)(3+1)4+13+1 = 5454 = 625
Thanks....

Answer 2

Answer:

64 is related to D)625

Explanation:

Given, that 8 is related to 81 with logic represented as -

$p^{q}$ : $(p+1)^{q+1}$

that is,

$8 : 81 =$ $2^{3}$ : $(2+1)^{3+1}$ = $2^{3} : 3^{4}$

Similarly,

$64 = 4^{3}$ ⇒ p = 4 and q = 3

∴ $(p+1)^{(q+1)} = 5^{4}$ = 625.

So, 64 is related to 625.