Multiple choice general knowledge math & puzzles

There were certain number of students in class-each were asked to take a number and represent it in another base less than 10. But they all ended up with the same number (12321). find the maximum number of students were there in class provided no two

  1. 9

  2. 5

  3. 6

  4. 7

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

For a number to be represented as 12321 in a given base, the base must be greater than the largest digit (3), so valid bases are 4, 5, 6, 7, 8, 9 - a total of 6 bases. If each student uses a different base, there can be at most 6 students.