Previous Year Paper
CAT2006Previous Years Paper
A group of 630 children is arranged in rows for a group photograph session. Each row contains three fewer children than the row in front of it. Which of the following number of rows is not possible?
A  3

B  4

C  5

D  6

E  7

Let the number of students in front row be x.
So, the number of students in next rows be x – 3, x – 6, x – 9…. so on.
If n i.e. number of rows be 3 then no. of students x + (x – 3) + (x – 6) = 630, or, 3x = 639, so, x = 213. Hence, we can conclude that total number of rows can be equal to 3.
Similarly, when n = 4, then x + (x –3) + (x – 6) + (x – 9) = 630, or, 4x = 648. So number of rows = 4 is also possible.
Similarly, when n = 5, then x + (x –3) + (x – 6) + (x – 9) + (x – 12) = 630, or, 5x = 660. So number of rows = 5 is also possible.
Similarly, when n = 6, then x + (x – 3) + (x – 6) + (x – 9) + (x – 12) + (x – 15) = 630, or, 6x = 675.
So, number of rows = 6 is not possible.
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