单选题Muriel goes to a bead store to make a bracelet for her sister. She begins by putting on 3 yellow beads, 2 green beads, 1 black bead, and 3 orange beads in that order. She repeats this pattern until she completes the bracelet. If the final bead she puts on the bracelet is a black bead, which of the following could be the total number of beads on the bracelet?A85B87C89D91E93
单选题
Muriel goes to a bead store to make a bracelet& for her sister. She begins by putting on 3 yellow beads, 2 green beads, 1 black bead, and 3 orange beads in that order. She repeats this pattern until she completes the bracelet. If the final bead she puts on the bracelet is a black bead, which of the following could be the total number of beads on the bracelet?
A
85
B
87
C
89
D
91
E
93
参考解析
解析：
根据题干可知珠子每3 + 2 + 1 + 3 = 9个循环一次，如果最后一个珠子是黑色的，那么也就是穿到第6个珠子时，手镯完成，所以可能的珠子的个数为被9除后余数为6的数，所以故选B.87=9×9+6。
根据题干可知珠子每3 + 2 + 1 + 3 = 9个循环一次，如果最后一个珠子是黑色的，那么也就是穿到第6个珠子时，手镯完成，所以可能的珠子的个数为被9除后余数为6的数，所以故选B.87=9×9+6。
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