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NMAT Ratio and Proportion — practice questions — page 2

Explore 78 free Ratio and Proportion questions in NMAT 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 31–60 of 78.

Constants of proportionRead the answer and worked solution →Tap every correct way to write direct proportionRead the answer and worked solution →Complete the comparison ruleRead the answer and worked solution →Assertion and reason: constantsRead the answer and worked solution →True or false: the constantRead the answer and worked solution →Spot the odd one outRead the answer and worked solution →Which equation applies?Read the answer and worked solution →Which stays fixed in the situation?Read the answer and worked solution →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 →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 →

Worked practice questions

Constants of proportion

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Questions
  1. Question
    In direct proportion, what stays constant?
    Choices
    1. the ratio
    2. the product
    3. the difference
    Correct choice
    the ratio
  2. Question
    In inverse proportion, what stays constant?
    Choices
    1. the ratio
    2. the product
    3. the sum
    Correct choice
    the product
  3. Question
    The constant is usually written
    Choices
    1. n
    2. p
    3. k
    Correct choice
    k
The constant is what stays fixed while the pair varies. Source: syllabus Maths, Ch 11 Direct and Inverse Proportions.

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Tap every correct way to write direct proportion

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Questions
  1. Items
    1. Text
      x/y = k
      Matches the category
      Yes
    2. Text
      x₁/y₁ = x₂/y₂
      Matches the category
      Yes
    3. Text
      x and y rise together
      Matches the category
      Yes
    4. Text
      xy = k
      Matches the category
      No
    5. Text
      x₁y₁ = x₂y₂
      Matches the category
      No
    Category
    A correct form of DIRECT proportion
Several forms, one meaning. Source: syllabus Maths, Ch 11 Direct and Inverse Proportions.

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Complete the comparison rule

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Missing parts
  1. Answer
    =
    Choices
    1. =
    2. >
    3. <
  2. Answer
    =
    Choices
    1. =
    2. ≠
    3. <
Complete the statement
For direct proportion, two cases satisfy x₁/y₁ {0} x₂/y₂. For inverse proportion, they satisfy x₁y₁ {1} x₂y₂.
How two cases of the same proportion are linked. Source: syllabus Maths, Ch 11 Direct and Inverse Proportions.

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