Question

In a number system the product of 44 and 11 is 3414 The number 3111 of this system when converted to the decimal number system becomes

• A. 406
• B. 1086
• C. 213
• D. 691

Answer 1

The correct option is A 406

The product of 44 and 11 is 484
If base is x then 3411
$3x^3+4x^2+1x^1+4x^0=484$
$3x^3+4x^2+x=480$
This equation is satisfy when x=5
then base is 5
In decimal system number 3111 will be written
$3\times 5^3+1\times 5^2+1\times 5^1+1\times 5^0=406$