CMAT · Quantitative Techniques and Data Interpretation

Arithmetic

Percentages, profit and loss, interest, ratio, averages, time-speed-distance, work.

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About this topic in CMAT

  • In the exam pattern: CMAT, Quantitative Techniques and Data Interpretation: 20 questions, 80 marks (NTA brochure, 17 Oct 2025).

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  • Q1 · Arithmetic · MEDIUM

    A shopkeeper buys a batch of 200 pens for Rs 4,000. He sells 40% of them at a 10% profit and the rest at a 20% loss. What is his overall profit or loss percentage on the total transaction?

  • Q2 · Arithmetic · EASY

    The average age of a family of 5 members is 30 years. If the youngest member is 12 years old and the eldest is twice the age of the youngest, what is the average age of the remaining 3 members?

  • Q3 · Arithmetic · MEDIUM

    A sum of money invested in a bank at 10% simple interest amounts to Rs 12,000 in 5 years. What would be the amount if the same sum were invested at 8% simple interest for the same period?

  • Q4 · Arithmetic · MEDIUM

    Two trains, each 150 meters long, are running on parallel tracks in opposite directions. They cross each other in 12 seconds. If the speed of the first train is 1.5 times the speed of the second train, what is the speed of the first train in km/h?

  • Q5 · Arithmetic · HARD

    A, B, and C can complete a piece of work in 10, 15, and 30 days respectively. They start working together. After 2 days, A leaves. How many more days will it take for B and C to complete the remaining work?

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