IPMAT · Quantitative Ability

Number system

Divisibility, remainders, factors, digits, HCF / LCM.

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About this topic in IPMAT

  • In the exam pattern: IIM Rohtak IPM Aptitude Test (2026), Quantitative Ability: 40 questions, 160 marks (IIM Rohtak notice, read 26 Oct 2026).
  • Next exam day: IPMAT Indore 2027 exam (expected): 8 May 2027 (Expected — an estimate, not announced).

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  • Q1 · Number system · HARD

    What is the remainder when 7^100 is divided by 1000?

  • Q2 · Number system · EASY

    The HCF of two numbers is 15 and their LCM is 450. If one of the numbers is 75, what is the other number?

  • Q3 · Number system · MEDIUM

    A number when divided by 5 leaves a remainder of 3. When the quotient is divided by 3, it leaves a remainder of 2. What is the remainder when the original number is divided by 15?

  • Q4 · Number system · EASY

    How many positive integers less than 1000 are divisible by 4 but not by 8?

  • Q5 · Number system · MEDIUM

    What is the smallest positive integer that, when added to 1234, makes the number a perfect square?

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