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 below

ABC

BCD

CDE

FAB

Correct

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

LangFeb 22, 2025

Can someone explain it other way?

SKYcry321Oct 31, 2024

Thank for sharing!

SolimanJun 11

thanks, this one was quick once you see the pattern repeats every 6

ArkaJun 13

yeah exactly, just gotta be careful about where 720 lands in the cycle

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.