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?

3

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4

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5

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6

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Solution

The correct option is D $6$
Let no of children be x, $x + 3, x + 6, x + 9, x + 12, x + 15$ ...........
Present in Rows $R_{1}, R_{2}, R_{3}, R_{4}, R_{5}, R_{6}$ ,.......... respectively
Putting R $= 3, 4, 5$ and $6$
We see that when $R = 6$
$x + x + 3 + x + 6 + x + 9 + x + 12 + x + 15 = 630$
$6 x + 45 = 630$
$6 x = 585$
$x = 97.5$
then $x$ is not an integer.
So, $R = 6$ does not satisfies.

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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?

The correct option is D 6Let no of children be x, x+3,x+6,x+9,x+12,x+15...........Present in Rows R1,R2,R3,R4,R5,R6,.......... respectivelyPutting R=3,4,5 and 6We see that when R=6x+x+3+x+6+x+9+x+12+x+15=6306x+45=6306x=585x=97.5 then x is not an integer.So, R=6 does not satisfies.

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?