Zaben´s Math: 2

Zaben Oldwheel had a test in which the math teacher asked how many terms 1 to 1000 have. Since she wanted to test how far Zaben´s mind would go to eliminate number 3s.

Following the same rational thinking of the anterior problem solve it!


The answer is 729.

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1 solution

Rafael Oliveira
Apr 24, 2014

By doing the first problem of Zaben´s Math series we already know that for him 1 to 100 has 81 terms.So how do we discover how many terms 1 to 1000 has in his mind? We know that in 1 to 100 we remove 19 terms that has the number 3.So to discover 1 to 1000 we do 9x19=171 then it doesnt stop there we complete remove from the equation 300 to 399.So 171+99=270 So 1000-270=730 so in Zaben´s Math 1 to 1000 has 730 terms.

300 to 399 has 100 terms. The answer is 729.

You can also use my approach in the first question to attempt this problem. Imagine a 10 10 10 cube with the numbers 1-1000 written on it. Now you remove the third row, the third column, and the third plane.

You are left with a 9 9 9 cube, so the answer is 729.

Kenny Lau - 6 years, 11 months ago

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Thanks. I have updated the answer to 729.

Calvin Lin Staff - 6 years, 11 months ago

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