XAT · Quantitative Ability and Data Interpretation

Algebra

Equations, inequalities, functions, progressions, logarithms.

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About this topic in XAT

  • In the exam pattern: Part 1 (Verbal Ability and Logical Reasoning, Decision Making, Quantitative Ability and Data Interpretation), Quantitative Ability and Data Interpretation: 28 questions, 28 marks (XLRI notice, read 26 Oct 2026).
  • Next exam day: XAT 2027 exam: 3 Jan 2027 (Reported, xatonline.in).

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  • Q1 · Algebra · EASY

    The sum of the first 10 terms of an arithmetic progression is 110. If the first term is 2, what is the common difference?

  • Q2 · Algebra · MEDIUM

    If x is a real number such that 2^x + 2^(-x) = 5, what is the value of 2^(2x) + 2^(-2x)?

  • Q3 · Algebra · EASY

    A geometric progression has a first term of 3 and a common ratio of 2. What is the sum of the first 5 terms?

  • Q4 · Algebra · MEDIUM

    If log base 10 of x is 0.5, what is the value of 10^(2 * log base 10 of x)?

  • Q5 · Algebra · MEDIUM

    An arithmetic progression has 20 terms. The first term is 36 and the common difference is 6. What is the sum of the first 20 terms?

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