Math Problem : FF.2 Test of ten problems of O or X

There was a test of ten problems to answer with or ×.

If answer is correct, it is ten points on each problem.

As a result, Taro got 70 points and Jiro got 30 points.

The table below shows an answer of two people.

How many problems are there which you can find the correct answer according to this table ?





Answer
Four problems

Solution
The problem with a different answer of Taro and Jiro is #2, #4, #5, #10 and because points of Taro and Jiro are different by 40 points, Taro answered these four problems correctly.