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Multiple choice general knowledge

What is the least 3 digit decimal number, which when converted to base 6, will have 4 digits?

  1. 100

  2. 555

  3. 216

  4. 600

  5. 325

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Least 4-digit base-6 number = 1000₆ = 6³ = 216 in decimal. At 215: 215 = 5×36 + 35 = 5×36 + 5×6 + 5 = 555₆ (3 digits). At 216: 216 = 1×216 = 1000₆ (4 digits).

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