Category Archives: Daily Problems

Problem of the Day – May 1, 2020

Posted on May 11, 2020 by kevin

Find all integer solutions for the following equation: $$\dfrac{4}{a}+\dfrac{2}{b}=1$$

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Problem of the Day – December 5, 2019

Posted on December 5, 2019 by kevin

In $\triangle ABC$, $\dfrac{AD}{BD} = \dfrac{1}{2}$, $\dfrac{BE}{EC} = \dfrac{1}{3}$, and $\dfrac{AF}{CF} = \dfrac{3}{2}$. What is the ratio of the area of $\triangle GHI$ to $\triangle ABC$?

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Problem of the Day – November 28, 2019

Posted on November 28, 2019 by kevin

There is a staircase with 13 steps, and you can climb either 1 step or 2 steps at a time. Can you find out the number of unique ways you can climb to the top of the staircase? The order … Continue reading →

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Problem of the Day – November 27, 2019

Posted on November 27, 2019 by kevin

How many 4-digit numbers are there without digit 2 and 3, such as 7450? How many of them are there with at least one digits as 2 or 3, such as 1200, 3401, 1234?

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Problem of the Day – November 26, 2019

Posted on November 26, 2019 by kevin

How many 4-digit numbers are there with digits in absolute descending order, such as 8520? And how many 4-digit numbers are there with digits in absolute ascending order, such as 3569?