Free Practice Question
PS · Problem Solving
sub-505
Sequences
In a factory, boxes were labeled with the letters ABCDEF sequentially, where the first box is A, the second is B, the third is C, and so on. What letters correspond to the 720th, 721st, and 722nd boxes?
Answer Choices
Correct answer marked belowA
ABC
B
BCD
C
CDE
FAB
Correct
E
EFA
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Explanation
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Official Explanation
Official
To determine the letters on the 720th, 721st, and 722nd boxes, we first focus on the 720th box, which is the only even-numbered box among the three. Since there are 6 letters in the sequence, we can find out where the 720th box falls in the cycle. We calculate the number of complete cycles of 6 boxes that fit into 720:…
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Comments
2
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L
LangFeb 22, 2025
Can someone explain it other way?
S
SKYcry321Oct 31, 2024
Thank for sharing!
What this question tests
What it tests
Your ability to spot and extend arithmetic and geometric sequences and work with recursive definitions.
Common trap
Off-by-one errors in indexing (a₀ vs a₁) or confusing an arithmetic difference with a geometric ratio.
Details
Difficulty
sub-505
Type
PS
Category