For the following question:
A necklace is made by stringing N individual beads together in the repeating pattern of Red Bead , Green Bead , White , Blue and Yellow Bead. If necklace begins with a RED Bead and ends with a white bead , then N could be A)$16$ B)$32$ C)$41$ D)$54$ E)$68$
I think the answer should be 41 but my text says its 68. Is this a misprint?
Here is how I am solving it:
Let n= $1$ for Red and let n=$2$ for green and so on. Now for the answers if n=$16,32,54,68$ they are divisible by $2$ so they would end up in green but for n=$41$ we could write $40+1$ so its Green and then White.
Also one more question , say if we had n=40 that is divisible by both n=2(Green) and n=4(Blue) and also by n=5 (Yellow) then the 40th one which would it be Blue , Green or Yellow ?