Product of 44 and 11 represented when represented in a certain base is 3414. The number 3111 of this system, when converted to the decimal system is?
Explanation:
Given, 44 × 11 = (3414)n
∴ 484 = (3n3 + 4n2 + n + 4)
⇒ 3n3 + 4n2 + n = 480
This is possible when n = 5.
∴ (3111)5 = 3 × 125 + 25 + 5 + 1 = 406.
Hence, option (a).
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