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16 Nov 2017, 22:54
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
69% (01:29) correct
31%
(01:00)
wrong
based on 59
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The figure above shows a pattern of beads with integer diameter lengths a, b and c centimeters. This five-bead pattern is to be repeated without variation to make one complete necklace. If a : b : c = 1 : 2 : 3, which of the following could be the total length of the beads on the necklace?
(A) 56 cm
(B) 57 cm
(C) 60 cm
(D) 63 cm
(E) 64 cm
Attachment:
2017-11-17_0947_002.png [ 12.37 KiB | Viewed 3081 times ]
Luckisnoexcuse
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Joined: 18 Aug 2016
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Concentration: Strategy, Technology
Schools: Kenan-Flagler '20 (M)
GMAT 1: 630 Q47 V29
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16 Nov 2017, 23:55
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Bunuel
let the length of beads (a,b,c) be x, 2x, 3x
total length of each five bead (as in diagram) will be 9x
necklace can be formed by repeating (five bead structure) hence should be divisible by 9
D
17 Nov 2017, 05:17
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C.
a:b:c = 1:2:3
a=x
b=2x
c=3x
Assume x to be 1
now a+b+c = 6
once you extend the pattern of beads, the entire necklace will form series..so if we take 16 beads that form a necklace, the series will be 6*4 + 2(4) = 32
now keep extending this to limit to the answer choices:-
6*5+2(5) = 40
6*6+2(6) = 48
6*7 +2(7) = 56
6*8 +2(8) = 60
6*9 +2(9) = 66
therefore C.
a:b:c = 1:2:3
a=x
b=2x
c=3x
Assume x to be 1
now a+b+c = 6
once you extend the pattern of beads, the entire necklace will form series..so if we take 16 beads that form a necklace, the series will be 6*4 + 2(4) = 32
now keep extending this to limit to the answer choices:-
6*5+2(5) = 40
6*6+2(6) = 48
6*7 +2(7) = 56
6*8 +2(8) = 60
6*9 +2(9) = 66
therefore C.
