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CAT Ratio and Proportion — practice questions

Explore 39 free Ratio and Proportion questions in CAT Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Ratio and Proportion questions and exercises with answers

Showing questions 1–30 of 39.

In mathematics, a ratio is used to:Read the answer and worked solution →A basket holds 20 apples and 5 oranges. The ratio of oranges to apples in simplest form is:Read the answer and worked solution →Out of 25 fruits, 5 are oranges. What percentage of the fruits are apples?Read the answer and worked solution →An amount of 1200 is divided between two people in the ratio 3 : 5. The larger share is:Read the answer and worked solution →If a : b = 2 : 3 and b : c = 4 : 5, then a : c equals:Read the answer and worked solution →Two numbers are in the ratio 5 : 7 and differ by 12. Their sum is:Read the answer and worked solution →A car uses 4 litres of petrol to travel 60 km. How far will it travel on 12 litres?Read the answer and worked solution →Two quantities are in direct proportion when, as one increases:Read the answer and worked solution →If A : B = 3 : 4 and B : C = 6 : 5, then A : B : C equals:Read the answer and worked solution →Sugar costs 36 per kg. The cost of 3 kg is:Read the answer and worked solution →A car travels 60 km on 4 litres of petrol. On 12 litres it will travel:Read the answer and worked solution →Two quantities x and y are in direct proportion when:Read the answer and worked solution →A child's age and the mother's age both increase together but are not in direct proportion because:Read the answer and worked solution →5 metres of cloth cost 210. The cost of 10 metres is:Read the answer and worked solution →A 14 m pole casts a 10 m shadow. A tree casting a 15 m shadow at the same time is:Read the answer and worked solution →12 sheets of paper weigh 40 g. How many sheets weigh 2.5 kg?Read the answer and worked solution →A train moves at a uniform 75 km per hour. In 20 minutes it covers:Read the answer and worked solution →At 75 km per hour, the time to cover 250 km is:Read the answer and worked solution →A map has scale 1 : 30000000. Two cities 4 cm apart on the map are actually apart by:Read the answer and worked solution →Two quantities x and y are in inverse proportion when:Read the answer and worked solution →Zaheeda doubles her speed by running instead of walking. Her time to reach school:Read the answer and worked solution →A school has 6000 for maths books at 40 each. If the price rises to 50, the number of books falls from 150 to:Read the answer and worked solution →When book price goes from 40 to 50, the ratio 4 : 5, the number of books changes in the ratio:Read the answer and worked solution →6 pipes fill a tank in 1 hour 20 minutes. With 5 pipes the time is:Read the answer and worked solution →A hostel has food for 100 students for 20 days. If 25 more join, it lasts:Read the answer and worked solution →15 workers build a wall in 48 hours. To finish in 30 hours you need:Read the answer and worked solution →Which pair is in inverse proportion?Read the answer and worked solution →The angle turned by a clock's minute hand and the time passed are:Read the answer and worked solution →A car takes 2 hours at 60 km/h. At 80 km/h the same trip takes:Read the answer and worked solution →A box of sweets gives 24 children 5 each. With 4 fewer children, each gets:Read the answer and worked solution →

Worked practice questions

In mathematics, a ratio is used to:

  1. Add two quantities together
  2. Compare two quantities
  3. Find the average of two quantities
  4. Convert a quantity into a percentage
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Correct answer: B. Compare two quantities

1. A ratio sets one quantity against another. 2. Ratio means comparing two quantities. 3. If a basket has 20 apples and 5 oranges, the ratio of oranges to apples is 5 : 20, read as 1 : 4. 4. The comparison can equally be written as a fraction, here one fourth. 5. Adding or averaging combines the quantities rather than comparing them. _Source: syllabus Maths, Ch 7 'Comparing Quantities', S7.1 Recalling Ratios and Percentages_

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A basket holds 20 apples and 5 oranges. The ratio of oranges to apples in simplest form is:

  1. 4 : 1
  2. 1 : 5
  3. 5 : 4
  4. 1 : 4
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Correct answer: D. 1 : 4

1. Write the ratio in the order asked, oranges first: 5 : 20. 2. Divide both sides by their HCF, which is 5. 3. That gives 1 : 4. 4. So the number of oranges is one fourth the number of apples. 5. 4 : 1 is the same comparison reversed, which is the commonest error on ratio questions. _Source: syllabus Maths, Ch 7 'Comparing Quantities', S7.1 Recalling Ratios and Percentages_

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Out of 25 fruits, 5 are oranges. What percentage of the fruits are apples?

  1. 80%
  2. 20%
  3. 75%
  4. 85%
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Correct answer: A. 80%

1. First find the share of oranges: 5 out of 25. 2. As a percentage that is 5 / 25 x 100 = 20 per cent. 3. The basket holds only apples and oranges, so the two percentages must add to 100. 4. So apples make up 100 - 20 = 80 per cent. 5. Answering 20 per cent is answering the wrong half of the question. _Source: syllabus Maths, Ch 7 'Comparing Quantities', S7.1 Recalling Ratios and Percentages_

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More Quantitative Aptitude topics

Quantitative AptitudeAlgebraCAT QA — MixedProfit and LossTime and WorkPercentagesAverages and MixturesDI — Tables