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AFCAT Ratio and Proportion — practice questions

Explore 9 free Ratio and Proportion questions in AFCAT 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 1–9 of 9.

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 →

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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