Logic is rare

One of the questions with the lowest percentage (only 11%!) of correct responses in one of those standardised tests.

 

Given:

 

    1. All education majors student teach.

    2. Some education majors have double majors.

    3. Some mathematics students are education majors.

 

Which of the following conclusions necessarily follows from 1, 2 and 3 above?

 

    A. Some mathematics students have double majors.

    B. Some of those with double majors student teach.

    C. All student teachers are education majors.

    D. All of those with double majors student teach.

    E. Not all mathematics students are education majors.