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RRB NTPC Ratio and Proportion — practice questions

Explore 62 free Ratio and Proportion questions in RRB NTPC 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 62.

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 →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 →Rs 840 is shared in the ratio 2 : 5 : 7. What is the largest share?Read the answer and worked solution →What is the ratio of 2 hours to 40 minutes?Read the answer and worked solution →The ratio of 75 cm to 3 m isRead the answer and worked solution →The ratio of Rs 5 to 80 paise, in simplest form, isRead the answer and worked solution →Ages of two friends are in the ratio 4 : 5. After 6 years it will be 5 : 6. The younger one's present age isRead the answer and worked solution →The sum of a father's and son's ages is 56 and their ages are in ratio 7 : 1. The father's age isRead the answer and worked solution →A 50 litre mixture has milk and water in 7 : 3. After adding 10 litres of water, the ratio isRead the answer and worked solution →Coins of Re 1, 50 paise and 25 paise are in the ratio 2 : 3 : 4 and total Rs 90. How many 25 paise coins are there?Read the answer and worked solution →If x : y = 3 : 2, then (2x + 3y) : (3x - 2y) equalsRead the answer and worked solution →If (x + y) : (x - y) = 7 : 3, then x : y isRead the answer and worked solution →Which of these ratios is the greatest?Read the answer and worked solution →The duplicate ratio of 3 : 5 isRead the answer and worked solution →The ratio compounded of 2 : 3 and 9 : 4 isRead the answer and worked solution →Two numbers are in ratio 3 : 4. If 6 is added to each, the ratio is 4 : 5. The larger number isRead the answer and worked solution →Rs 1,750 is split among A, B, C with A : B = 2 : 3 and B : C = 4 : 5. C getsRead the answer and worked solution →If 15 : 25 = x : 40, then the value of x isRead the answer and worked solution →If 12 pens cost Rs 90 at a fixed rate, 20 pens costRead the answer and worked solution →A car covers 240 km in 4 hours at constant speed. In 7 hours it coversRead the answer and worked solution →12 workers finish a job in 15 days. How many days would 18 workers need?Read the answer and worked solution →Food for 120 soldiers lasts 40 days. For 160 soldiers it would lastRead the answer and worked solution →Speeds of two trains are in ratio 5 : 6. The ratio of their times over equal distance isRead the answer and worked solution →A and B cover the same road in 45 and 30 minutes. The ratio of their speeds isRead the answer and worked solution →Rs 2,400 is divided between A and B so that 1/4 of A's share equals 1/6 of B's. A getsRead 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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An amount of 1200 is divided between two people in the ratio 3 : 5. The larger share is:

  1. 450
  2. 750
  3. 600
  4. 700
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Correct answer: B. 750

1. The ratio 3 : 5 splits the amount into 3 + 5 = 8 equal parts. 2. One part is worth 1200 / 8 = 150. 3. The larger share takes 5 parts. 4. So it is 5 x 150 = 750. 5. As a check, the smaller share is 3 x 150 = 450, and 750 + 450 = 1200. _Source: syllabus Maths, Ch 7 'Comparing Quantities', S7.1 Recalling Ratios and Percentages_

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