How do I improve at Number Properties questions?

Start by reviewing the Number Properties theory guide, then practice in this difficulty band and track which concepts you miss. Focus on accuracy first, then work on pacing so you finish each question in about two minutes.

Where can I learn Number Properties theory?

Our free Number Properties guide on the GMAT Sprint Quant hub explains the core concepts and formulas, with worked examples you can practice against.

Very Hard - 705+ Number Properties Problem Solving GMAT Questions

Very Hard - 705+ difficulty Number Properties Problem Solving GMAT practice questions. Every question below links to its own page with the full solution, community comments, and discussion.

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Practice Very Hard - 705+ Number Properties Problem Solving questions

Very Hard - 705+ Number Properties Problem Solving questions measure your command of divisibility, primes, factors, parity, and how the GMAT tests properties of integers.. Here you'll find 10 free questions in this band — every one shows the correct answer, with full step-by-step solutions available once you sign in for free. Practice in this difficulty range to build speed and accuracy, then move up a tier as your scores improve.

Question Type

All types(4)Problem Solving(1457)Critical Reasoning(1024)Data Sufficiency(112)Reading Comprehension

Latest questions

10 questions

PS · Problem Solving

705-805

Number Properties

A number is interesting if on adding the sum of the digits of the number and the product of the digits of the number, the result is equal to...

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Frequently asked questions

Are these Number Properties Problem Solving questions free?▾

Yes. All 10 questions in this collection are free to practice. Each question shows the correct answer, and signing up for a free account unlocks the complete step-by-step explanations.

What does Very Hard - 705+ difficulty mean on the GMAT?▾

The 705-805 band maps to the GMAT Focus scoring range. Questions in this band are very hard - 705+ — ideal for building accuracy before you move up to harder tiers.