Consider the following information and answer questions based on it.
Among 60 students, 12 like only algebra, 13 like only geometry, 10 like only trigonometry, 5 like both algebra and trigonometry, 8 like only physics, 5 like both physics and geometry and the remaining like both algebra and physics.
The ratio of students who like algebra to those who like geometry is
The average of first three out of four numbers is 18. The average of last three numbers is 14. The sum of first and last number is 16. The last number is
Note: For this question, discrepancy is found in question/answer. So, This question is ignored for all candidates.