CAT Exam Numerical Ability Sequence and Series

The sum of the first and the 9th term of an arithmetic progression is 24. What is the sum of the first nine terms of the progression?

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CAT Other Question

In an examination 70% candidates passed in English, 65% in Mathematics, 27% failed in both the subjects and 248 passed in both the subjects. Find the total number of candidates. If 3 students are made to sit in a row, then 9 students do not have a seat. Alternatively, if 9 students are made to sit in a row, then 5 rows are empty. How many students have to be seated in a row so that an equal number of students sit in all the rows and all the students get seat?