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# Marissa is responsible for watering 30 trees that have been planted in

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Math Expert
Joined: 02 Sep 2009
Posts: 60727
Marissa is responsible for watering 30 trees that have been planted in  [#permalink]

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26 Nov 2019, 01:15
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Question Stats:

50% (02:24) correct 50% (01:33) wrong based on 10 sessions

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Marissa is responsible for watering 30 trees that have been planted in a circular pattern. Each day, she selects the first tree to water at random and then proceeds around the circle counter-clockwise, watering every $$n^{th}$$ tree until all 30 trees have been watered. Which of the following is a possible value for n?

A. 3
B. 7
C. 9
D. 27
E. 28

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Joined: 19 Oct 2018
Posts: 1297
Location: India
Re: Marissa is responsible for watering 30 trees that have been planted in  [#permalink]

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26 Nov 2019, 04:15
IMO number, n, must be coprime to 30. Only option B, 7, is co-prime to 30.

Bunuel wrote:
Marissa is responsible for watering 30 trees that have been planted in a circular pattern. Each day, she selects the first tree to water at random and then proceeds around the circle counter-clockwise, watering every $$n^{th}$$ tree until all 30 trees have been watered. Which of the following is a possible value for n?

A. 3
B. 7
C. 9
D. 27
E. 28

Are You Up For the Challenge: 700 Level Questions
Re: Marissa is responsible for watering 30 trees that have been planted in   [#permalink] 26 Nov 2019, 04:15
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