A necklace is made by stringing \(N\) individual beads together in the repeating pattern red bead, green bead, white

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A necklace is made by stringing \(N\) individual beads together in the repeating pattern red bead, green bead, white bead, blue bead, and yellow bead. If the necklace design begins with a red bead and ends with a white bead, then \(N\) could equal

A. 16
B. 32
C. 41
D. 54
E. 68

[spoiler]OA=E[/spoiler]

Source: GMAT Paper Tests
Source: — Problem Solving |

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Gmat_mission wrote:
Thu May 21, 2020 12:59 am
A necklace is made by stringing \(N\) individual beads together in the repeating pattern red bead, green bead, white bead, blue bead, and yellow bead. If the necklace design begins with a red bead and ends with a white bead, then \(N\) could equal

A. 16
B. 32
C. 41
D. 54
E. 68

[spoiler]OA=E[/spoiler]

Source: GMAT Paper Tests
Solution:

Since it ends with a white bead, which is the 3rd bead in the 5-color bead pattern, N must have a remainder of 3 when divided by 5. From the given answer choices, we see that only 68 can be the value of N.

Answer: E

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