Question 158

The students of a class are standing in some rows. All the rows have the same number of students. If 3 students are added in each row, then there will be one row less. If three students are removed in each row,then there wi]] be two rows more. Then the number of students in the class is

Solution

Let there be r rows and n students in each row.
Hence, according to given two cases:

r*n = (r-1)*(n+3)
3r - n = 3

r*n = (r+2)*(n-3)
-3r + 2n = 6

Adding both, we get n = 9, r = 4
Hence, total studentss = 36

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TS Police SI Mains 2018 Arithmetic and Reasoning

The students of a class are standing in some rows. All the rows have the same number of students. If 3 students are added in each row, then there will be one row less. If three students are removed in each row,then there wi]] be two rows more. Then the number of students in the class is

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