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Multi-step word problems

Practice multi-step aptitude word problems combining percentages, rates, and arithmetic logic.

About Multi-step word problems

Multi-step word problems combine multiple mathematical concepts into a single question, testing your ability to break down complex scenarios into manageable steps. These are the most challenging quantitative aptitude questions and frequently appear in placement tests and competitive exams. Problems may combine percentages with profit/loss, time-speed-distance with time-work, or ratio with averages. The key skill is identifying the sequence of operations: read carefully, identify all given values, determine what to find first (intermediate result) and what follows, then execute each step with precision. Below are solved multi-step word problems that mirror the exact patterns asked in campus placement rounds.

Key Takeaways

  • Read the entire problem first. Identify the final answer needed, then work backwards.
  • Solve intermediate values one at a time. Verify each before proceeding.
  • Multi-step problems test integration of concepts: one problem may involve percentages + ratios + arithmetic.

Frequently Asked Questions

How to approach multi-step word problems?

1. Read the entire problem twice. 2. Underline key numbers and what you need to find. 3. Work backwards from the final question — what intermediate values do you need? 4. Solve each sub-problem in logical order. 5. Double-check: does your intermediate result make sense before using it in the next step?

Why do multi-step problems appear in placement tests?

Employers want to see that you can break down complex, real-world scenarios into manageable parts. A single problem might test percentages, ratios, and basic arithmetic simultaneously. This mirrors on-the-job problem-solving where rarely is a problem purely about one concept.

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20 questions ~6 minutes Randomized each time Explanations included

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Q1. An item marked Rs. 1800 gets 10% discount, then 20% GST is added. Find final price.

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Q2. Pipe A fills a tank in 8 h and Pipe B in 24 h. If both are opened together, tank fills in?

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Q3. An item marked Rs. 4100 gets 10% discount, then 20% GST is added. Find final price.

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Q4. Pipe A fills a tank in 12 h and Pipe B in 24 h. If both are opened together, tank fills in?

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Q5. An item marked Rs. 4900 gets 10% discount, then 10% GST is added. Find final price.

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Q6. A person travels 80 km at 40 km/h and then 120 km at 40 km/h. Find overall average speed.

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Q7. An item marked Rs. 2900 gets 10% discount, then 20% GST is added. Find final price.

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Q8. Pipe A fills a tank in 15 h and Pipe B in 30 h. If both are opened together, tank fills in?

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Q9. A person travels 90 km at 30 km/h and then 120 km at 30 km/h. Find overall average speed.

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Q10. An item marked Rs. 3700 gets 20% discount, then 10% GST is added. Find final price.

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Q11. Pipe A fills a tank in 9 h and Pipe B in 18 h. If both are opened together, tank fills in?

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Q12. A person travels 200 km at 50 km/h and then 100 km at 50 km/h. Find overall average speed.

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Q13. An item marked Rs. 2200 gets 20% discount, then 10% GST is added. Find final price.

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Q14. A person travels 160 km at 40 km/h and then 80 km at 40 km/h. Find overall average speed.

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Q15. An item marked Rs. 1000 gets 20% discount, then 10% GST is added. Find final price.

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Q16. A person travels 100 km at 50 km/h and then 100 km at 50 km/h. Find overall average speed.

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Q17. An item marked Rs. 2800 gets 20% discount, then 10% GST is added. Find final price.

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Q18. A person travels 240 km at 60 km/h and then 240 km at 60 km/h. Find overall average speed.

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Q19. An item marked Rs. 1800 gets 20% discount, then 20% GST is added. Find final price.

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Q20. A person travels 150 km at 50 km/h and then 100 km at 50 km/h. Find overall average speed.

Multi-step word problems Formula, shortcuts & preparation guide

Master multi-step word problems with regular practice. Key topics include percentage calculations, profit/loss, ratio, and time-work problems. Use shortcut methods for quick calculations and practice 15-20 questions daily to build speed and accuracy. This topic frequently appears in placement aptitude rounds.

Key formulas

  • Regular practice improves accuracy

Multi-step word problems Practice Questions with Answers

Build speed and accuracy with curated multi-step word problems practice. Each quiz includes solved explanations, timed mode, and instant correctness feedback.

How to prepare effectively for this topic?

Practice short timed sets daily, review every explanation, and track recurring mistakes for weekly revision.

Are these questions useful for placements and competitive exams?

Yes. The format mirrors common screening rounds with option-based answers and explanation-driven learning.

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