Question

If $(127{)}_8+(12{)}_6=(x{)}_5$, find the value of x.

• A. 230
• B. 124
• C. 340
• D. 240

Answer 1

The correct option is C 340

Write all the numbers in base 10 and then arrive at the answer.

$127$ in base $8=7\times 1+2\times 8+1\times 8^2=87$ in base $10$

$12$ in base $6=2\times 1+1\times 6=8$ in base $10$

Adding both we get $95$ in base $10$.

Expressing it in base 5, we get the number as 340.