Taylor is making a bracelet. He Starts with 4 blue knots, 6 red knots, and 2 yellow knots, in that order, and repeats

This topic has expert replies
Moderator
Posts: 7187
Joined: Thu Sep 07, 2017 4:43 pm
Followed by:23 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

Taylor is making a bracelet. He Starts with 4 blue knots, 6 red knots, and 2 yellow knots, in that order, and repeats the pattern until there is no more string. If the last Knot is yellow which of the following could be the total number of knots on the bracelet.

A) 89
B) 90
C) 95
D) 97
E) 102


OA C

Source: Veritas Prep

Master | Next Rank: 500 Posts
Posts: 415
Joined: Thu Oct 15, 2009 11:52 am
Thanked: 27 times
There are 12 knots in each complete series of knots.

So, if the last knot is yellow, the total number of knots could be a multiple of 12.

However, the last knot being yellow could also mean that the last series contains 11 knots with 1 yellow, if the total number of available yellow knots is not a multiple of 2.

So the total number of knots could be a multiple of 12 or a multiple of 12, minus 1.

Looking at the answer choices there is no multiple of 12.

However, there is a multiple of 12, 96, minus 1 95,C