If p is a positive even integer that ends with a positive digit, and the difference between the units digit of p cubed and the units digit of p squared is 0, what is the units digit of p plus 4?

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Official Explanation

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Let p be a positive even integer with a positive units digit. The possible units digits for p are 2, 4, 6, and 8. We will calculate the units digits of p^2 and p^3 for these values.

For p = 2: p^2 = 4 (units digit 4), p^3 = 8 (units digit 8), difference = 8 - 4 = 4. For p = 4: p^2 = 16 (units digit 6), p^3 = 64 (units digit 4), difference = 4 - 6 = -2.…

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Comments

ShivamFeb 16, 2025

thanksss

EndeApr 21, 2024

this pattern comes up frequently

KrishnanApr 6, 2025

thank you for sharing

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.