Question

Find the missing number which follow the same pattern in second pair as the first one

$8:81::64:?$

• A. $125$
• B. $137$
• C. $525$
• D. $625$

Answer 1

The correct option is D $625$

The relationship is $x^y:(x+1{)}^{y+1}$

$8:81$

$2^3=8$

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

Same as

$4^3=64$

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

Hence option D is answer.