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Rakshit (5)

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A group of 630 children is arranged in a row for a group photograph session. Each row contain three fewer children than the row in front of it. What number of rows is not possible?

1) 3

2) 4

3) 5

4) 6

    
Goel (2)

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4) 6

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Suppandi (0)

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@Goel: pls explain
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Kiran Divagar (742)

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Let there be n students in 1st row.There are n-3 students in 2nd row, n-6 in 3rd row etc etcProof:(By contradiction)Let us assume that there are 6 rows.There for the sum of total number of students = 6n-45(Hope u got this)But 6n-45=630Therefore 6n = 675Which is not possible.Therefore ,n=6 is not possible.Hope U understood.If not pls reply
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Kiran Divagar (742)

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Let there be n students in 1st row.There are (n-3) students in 2nd row, (n-6) in 3rd row etc etc

Proof:(By contradiction)

Let us assume that there are 6 rows.

There for the sum of total number of students = 6n-45(Hope u got this)

But 6n-45=630

Therefore 6n = 675Which is not possible.

Therefore ,n=6 is not possible.

Hope U understood.If not pls reply or Nudge me

 


B.Kiran Divagar

1st Year Nanotechnology, SRM Chennai
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