Consider the number (45)ᵧ, where y is the base. Some possible values of y are: (A) 5 (B) 6 (C) 7 (D) 8

1. A(A), (B) and (C) Only
2. B(B), (C) and (D) Only
3. C(A), (C) and (D) Only
4. D(A), (B), (C) and (D)

Pick an option to check yourself, or open the answer below.

Show answer & explanation

Correct answer: B. (B), (C) and (D) Only

Explanation

A base-y numeral can only use digits 0 to y−1. The digit 5 needs y ≥ 6, so 6, 7 and 8 are possible but 5 is not.