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a necklace is made by stringing n individual beads....

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by factor26 » Sat Oct 01, 2011 7:25 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 white bead then n could equal?

a - 16
b - 32
c - 41
d - 54
e - 68

OG ANSWER IS E ... CAN SOMEONE EXPLAIN?
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by GmatMathPro » Sat Oct 01, 2011 7:51 am
There are 5 beads in the sequence. Every time the sequence is completed, you add 5 beads. So the sequence of 5 beads goes on and on and on for a while, and every time it is completed, the total number of beads is a multiple of 5: 5, 10, 15, 20... Eventually, though, we don't complete a full sequence; we stop on white. The white bead is the third bead in the sequence, so the number of beads we have is 3 more than some multiple of 5. This means the total number of beads must end in 3 or 8. The only one that does is E
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by sl750 » Sun Oct 02, 2011 4:40 am
R G W B Y represent the color of each bead. There are 5 beads, so count multiples of 5. Only in choice E, can be arrive at 68 beads as the 68th bead will be white
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by edvhou812 » Sun Oct 02, 2011 8:10 am
Write down 'Red, Green, White, Blue, Yellow'

When you examine and count, you will find the Yellow always ends on 5 and 10. So from here, you can count after 10 and see where you land in the list.

A: 10 is Yellow. Count six more, and end on Red (out)
B: 30 is Yellow. Count two more and end on Green (out)

You can go through this process until you see that E works. 60 is yellow, count eight more and land on White.
I don't know what to say, really. Three minutes to the biggest battle of our professional lives. You find out life's this game of inches, so is football. Because in either game - life or football - the margin for error is so small. I mean, one half a step too late or too early and you don't quite make it. One half second too slow, too fast and you don't quite catch it. I'll tell you this, in any fight it's the guy whose willing to die whose gonna win that inch. That's football guys, that's all it is. Now, what are you gonna do?
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by factor26 » Sun Oct 02, 2011 11:05 am
Thanks for the help all!!
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by rooster » Sun Oct 02, 2011 8:24 pm
Let me explain my method and maybe you can let me know what you all think.

To add onto sl750, you set up the problem with R, G, W, B, Y thus to fill the rotation, a complete round is 5

BUT you need to end on white, so you are looking for an answer that is divisible by 5 with a remainder of 3

68/5 = 13 R3

E is the only choice with this type of requirement.
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by mad2011 » Mon Oct 03, 2011 1:16 am
It simple
5n+3
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