For a positive integer n, how many of the digits from 0 to 9 can appear as the units digit of n raised to the power of 3?

Answer Choices

Correct answer marked below

Three

Four

Six

Nine

Ten

Correct

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Explanation

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Official Explanation

Official

When considering the units digits of n^3 for positive integers n, we can analyze the possible units digits of n. The units digits of n can be 0, 1, 2, 3, 4, 5, 6, 7, 8, or 9. Calculating n^3 for each of these gives us the following units digits: 0 (from…

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Comments

NiklasMar 15, 2025

Thank you very much!

FlorianMar 8, 2024

Thankss

01.Apr 14, 2024

Great question!

What this question tests

What it tests

Your ability to convert between fractions, ratios, and decimals and to reason proportionally.

Common trap

Cross-multiplying incorrectly or mixing up the ratio parts — a part:part ratio is not a fraction of the whole.