Question

The number 456 in base 9 can be represented in base 7 as:

• A. 375
• B. 744
• C. 638
• D. 521

Answer 1

The correct option is B 744

456 in base $9=4\times \left(9^2\right)+5\times 9+6=375$ in base 10.
744 in base $7=7\times \left(7^2\right)+4\times 7+4=375$ in base 10. Hence, the correct answer is option (b).