Latest self Aptitude Question SOLUTION: 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. What number of rows is not possible

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(#M40020565) SELF question Keep an EYE

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. What number of rows is not possible

vikash singh (10 years ago)

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MUKESH JAISWAL  (9 years ago)

Let the no. of students in front row be x.
So, the no. of students in next rows be x–3,x−6,x–9 ... so on

If n i.e. no. of rows be then no. of students (n=3)
x+(x–3)+(x–6)=630
3x=639
x = 213
So possible,
Similarly for n = 4
x+(x–3)+(x–6)+(x−9)=630
4x–18=630
x=162

If n = 5
(4x–18)+(x−12)=630
5x–30=630
x=120
Again possible.

If n = 6
(5x−30)+(x−15)=630
6x−45=630
6x=675

x is not Integer
Hence n can not be 6

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