The only possible number base for 235ₓ among the following is ?

JAMB Computer Science 2023 285 views
Source: JAMB · 2023

The only possible number base for 235ₓ among the following is ?

  1. 4
  2. 3
  3. 6 ✓
  4. 5
Explanation

In any base, every digit must be smaller than the base. The number 235 contains the digit 5, so the base must be greater than 5.

Of the choices, only 6 is greater than 5. Bases 3, 4 and 5 cannot use the digit 5.

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