The total number of students that cleared an exam in the year \(2016\) and \(2017\) was at least \(60\%\) and \(50\%\)

[Vincen]

The total number of students that cleared an exam in the year \(2016\) and \(2017\) was at least \(60\%\) and \(50\%\) respectively. The total number of students that appeared in \(2017\) was \(40\%\) more than that of \(2016\) and the sum of students that cleared the exam in these two years is not less than \(65.\) Which of the following cannot be the sum of students that appeared in these two years if none of the students appeared in both the years?

A. 119
B. 120
C. 121
D. 122
E. 123

Answer: A

Source: e-GMAT