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02 Aug 2015, 06:41
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Difficulty:
95%
(hard)
Question Stats:
47% (02:23) correct
53%
(02:22)
wrong
based on 213
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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?
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
Source: GMAT notes (China Maths bible)
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
Source: GMAT notes (China Maths bible)
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02 Aug 2015, 06:48
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GMATnavigator
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?
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
Kudos if you like
Source: GMAT notes (China Maths bible)
(A) 3
(B) 4
(C) 5
(D) 6
(E) 7
Kudos if you like
Source: GMAT notes (China Maths bible)
Let n be the number of children in the least populated row. The subsequent rows will have n+3, n+6, n+9 ... etc children.
Start by POEing the options.
Option A, the distribution will be n, n+3, n+6 ---> n+n+3+n+6 = 630 --> n = Integer. Possible
Option B, the distribution will be n, n+3, n+6, n+9 ---> n+n+3+n+6+n+9 = 630 --> n = Integer. Possible
Option C, the distribution will be n, n+3, n+6, n+9, n+12 ---> n+n+3+n+6+n+9+ n+12 = 630 --> n = Integer. Possible
Option D, the distribution will be n, n+3, n+6, n+9, n+12, n+15 ---> n+n+3+n+6+n+9+ n+12+n+15 = 630 --> n \(\neq\) Integer. NOT POSSIBLE.
Option E, the distribution will be n, n+3, n+6, n+9, n+12, n+15, n+18 ---> n+n+3+n+6+n+9+ n+12+n+15+n+18 = 630 --> n = Integer. possible.
D is the correct answer.
02 Aug 2015, 06:53
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Moderators please rate the difficulty level of this question. I am doubtful about getting this this problem solved easily and want to guage my level of preparation.
Very good question.
