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# PS - Strings

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PS - Strings [#permalink]  04 Aug 2009, 11:01
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

A) 16
B) 32
C) 41
D) 54
E) 68

Intern
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Re: PS - Strings [#permalink]  04 Aug 2009, 11:24

I just played with the numbers to get this answer. I would be interested in a formula that is easier though.
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Re: PS - Strings [#permalink]  04 Aug 2009, 11:25
is the answer D-68. i don't think there is a way of solving this. you have to check every answer.

there are 5 different color of beads , so 13 times these beads can be repeated in order. that gives 13*5=65, the remaining 3 will be red, green and the last will be white bead.

hope i have explained it well.
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Re: PS - Strings [#permalink]  04 Aug 2009, 11:53
68 for me as well.

pattern is 5 beads long, if it starts on red and ends on white, then it must be 5x+3 so if x is odd then we have a 8, even, then we have a 3....68 is the only matching choice
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Re: PS - Strings [#permalink]  04 Aug 2009, 12:09
sprtng wrote:
68 for me as well.

pattern is 5 beads long, if it starts on red and ends on white, then it must be 5x+3 so if x is odd then we have a 8, even, then we have a 3....68 is the only matching choice

sprtgn: Can you explain in detail how it is 5x+3

OA: E) 68
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Re: PS - Strings [#permalink]  04 Aug 2009, 12:11
E.

The answer must be a number that ends in 3 or 8.
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Re: PS - Strings [#permalink]  04 Aug 2009, 12:16
1
KUDOS
pn wrote:
sprtng wrote:
68 for me as well.

pattern is 5 beads long, if it starts on red and ends on white, then it must be 5x+3 so if x is odd then we have a 8, even, then we have a 3....68 is the only matching choice

sprtgn: Can you explain in detail how it is 5x+3

OA: E) 68

because it says that "If the necklace design begins with a red bead and ends with a white bead" red is the first bead in the pattern, and white is the third bead.

so for example, the design could be: r g w b y r g w = starts with red, ends with white, in this design, it has completed the pattern (r ~ y) once, which contains 5 beads, then the extra unfinished pattern which starts with read ends with w gives us 3.

so lets say...the design could be the pattern repeated 6 times ( 30 beads) before it stopped, because the design can't stop on a yellow, which is the last of the pattern, then it has to go on until it reaches white, which is that extra 3 beads, then we have 5*6 + 3...and so forth....which gives us 5 * x (however many times the pattern has repeated, could also be zero), and that extra 3 bead in order to get to white bead (read, green, white) to finish the design off. ... a little messy, let me know if it's still unclear!
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Re: PS - Strings [#permalink]  04 Aug 2009, 12:39
sprtng wrote:
because it says that "If the necklace design begins with a red bead and ends with a white bead" red is the first bead in the pattern, and white is the third bead.

so for example, the design could be: r g w b y r g w = starts with red, ends with white, in this design, it has completed the pattern (r ~ y) once, which contains 5 beads, then the extra unfinished pattern which starts with read ends with w gives us 3.

so lets say...the design could be the pattern repeated 6 times ( 30 beads) before it stopped, because the design can't stop on a yellow, which is the last of the pattern, then it has to go on until it reaches white, which is that extra 3 beads, then we have 5*6 + 3...and so forth....which gives us 5 * x (however many times the pattern has repeated, could also be zero), and that extra 3 bead in order to get to white bead (read, green, white) to finish the design off. ... a little messy, let me know if it's still unclear!

Thanks sprtng, its clear now
Thanks Everyone
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Re: PS - Strings [#permalink]  04 Aug 2009, 12:45
E

68 is the only multiple of 5 +3
Re: PS - Strings   [#permalink] 04 Aug 2009, 12:45
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