GRE Quantitative Flashcards: Integer Properties Divisibility

Study Integer Properties Divisibility in GRE Quantitative with focused flashcards that help you recognize the idea, recall the key rule, and apply it in practice-style prompts.

QUESTION

What is the basic divisibility test for 33 in base 1010?

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ANSWER

Divisible by 33 iff the sum of digits is divisible by 33. This rule works because 101(mod3)10 \equiv 1 \pmod{3}, so the number modulo 3 equals the digit sum modulo 3.

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GRE Quantitative: Arithmetic and Number Properties

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What this deck covers

This deck focuses on Integer Properties Divisibility, giving you a quick way to review the definitions, rules, and examples that matter most for GRE Quantitative.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Practice questions

1 of 15Practice questions for this set
Integer tt is such that t2t^2 is divisible by 1212. Which of the following must be true?
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