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

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Gmat_mission: Legendary Member; Posts: 1622; Joined: Thu Mar 01, 2018 7:22 amFollowed by: 2 members

by Gmat_mission » Thu May 21, 2020 12:59 am

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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: Beat The GMAT — Problem Solving | Thu May 21, 2020 12:59 am

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8246; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

Re: A necklace is made by stringing $N$ individual beads together in the repeating pattern red bead, green bead, white

by Scott@TargetTestPrep » Sun May 31, 2020 10:14 am

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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