IPMAT · Quantitative Ability

Algebra

Quadratics, inequalities, progressions, logarithms, functions, matrices and determinants (2x2, 3x3).

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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 · Algebra · EASY

    A shopkeeper buys a batch of 100 identical items for a total of Rs 5,000. He marks up the price by 20% and then offers a discount of 10% on the marked price. What is his profit percentage on the cost price?

  • Q2 · Algebra · MEDIUM

    If x is a real number satisfying the inequality x^2 - 5x + 4 < 0, what is the sum of all integer values of x that satisfy this condition?

  • Q3 · Algebra · EASY

    Let f(x) = x^2 - x + 1. What is the value of f(f(2))?

  • Q4 · Algebra · EASY

    The determinant of the matrix [[2, 3], [1, 4]] is:

  • Q5 · Algebra · MEDIUM

    In a geometric progression, the first term is 1 and the common ratio is 2. What is the sum of the first 6 terms?

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