XAT · Quantitative Ability and Data Interpretation

Arithmetic

Percentages, profit and loss, ratio, time-speed-distance, time and work, mixtures, simple and compound interest.

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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 · Arithmetic · MEDIUM

    A trader buys a batch of widgets for Rs 45,000. He sells 60% of the widgets at a profit of 20%. He sells the remaining widgets at a loss of 10%. What is the overall profit or loss percentage on the entire batch?

  • Q2 · Arithmetic · MEDIUM

    A train leaves Station A for Station B, which is 300 km away, at a speed of 60 km/h. One hour later, a second train leaves Station A for Station B at a speed of 90 km/h. How far from Station A does the second train overtake the first train?

  • Q3 · Arithmetic · HARD

    Two alloys have copper and tin in the ratio 2:3 and 5:3 respectively. In what ratio should they be mixed to get an alloy with copper and tin in the ratio 3:2?

  • Q4 · Arithmetic · MEDIUM

    A can complete a job in 12 days and B can complete the same job in 15 days. They work together for 3 days and then A leaves. How many more days will B take to complete the remaining work?

  • Q5 · Arithmetic · EASY

    A sum of Rs 10,000 is invested at 10% per annum compound interest compounded annually. What will be the amount after 3 years?

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