100 Divided by a Quarter Plus 10: What Is the Correct Answer?

This puzzle looks like ordinary division, but the phrase divided by a quarter is where many people go wrong.

The expression is:

100 divided by a quarter, plus 10

A quarter is 0.25, so dividing by a quarter means:

100 ÷ 0.25 = 400

Then add 10:

400 + 10 = 410

So the correct answer is 410.

The common mistake is treating “divided by a quarter” as if it meant taking one-quarter of 100. Those are different operations. Dividing by a fraction smaller than 1 makes the number larger.

Answer: 410.

It is a quick puzzle, but the wording makes it surprisingly easy to misread.

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