1. **State the problem:** We have 40 questions. \nFraction of multiple choice questions is $\frac{2}{5}$. \nFraction of true or false questions is $\frac{1}{4}$. \nWe need to find the number of other types of questions.\n\n2. **Calculate the number of multiple choice questions:**\n$$40 \times \frac{2}{5} = 40 \times 0.4 = 16$$\nSo, there are 16 multiple choice questions.\n\n3. **Calculate the number of true or false questions:**\n$$40 \times \frac{1}{4} = 40 \times 0.25 = 10$$\nSo, there are 10 true or false questions.\n\n4. **Calculate the number of other types of questions:**\nTotal questions $= 40$\nMultiple choice $= 16$\nTrue or false $= 10$\nOther types $= 40 - (16 + 10) = 40 - 26 = 14$\n\n**Answer:** There are 14 other types of questions.