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

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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


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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