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ArunachalPSC Ratio and Proportion — practice questions — page 2

Explore 40 free Ratio and Proportion questions in ArunachalPSC 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 31–40 of 40.

Order the reasoning: decide which proportion appliesRead the answer and worked solution →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

Order the reasoning: decide which proportion applies

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Steps
  1. Name the two quantities that vary
  2. Ask what happens to the second when the first increases
  3. If it also increases, the proportion is direct
  4. If it decreases, the proportion is inverse
  5. Write the matching equation and solve
Type first, equation second, arithmetic last. Source: syllabus Maths, Ch 11 Direct and Inverse Proportions.

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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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