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CTET Ratio — practice questions — page 2

Explore 50 free Ratio questions in CTET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Ratio questions and exercises with answers

Showing questions 31–50 of 50.

If y is inversely proportional to x, which quantity stays constant?Read the answer and worked solution →y varies inversely with x, and y = 6 when x = 4. What is y when x = 8?Read the answer and worked solution →In inverse proportion, when one variable increases, the otherRead the answer and worked solution →In y = k/x with k non-zero, which variables can never equal zero?Read the answer and worked solution →8 workers finish a job in 6 days at the same pace. How many days would 12 workers need?Read the answer and worked solution →A trip takes 3 hours at 40 km/h. How long would it take at 60 km/h?Read the answer and worked solution →Six pens cost Rs 90 at a fixed price per pen. What do 10 pens cost?Read the answer and worked solution →Which of these quantities is a rate with time in its denominator?Read the answer and worked solution →If a ratio is r = a/b, what is its inverse 1/r?Read the answer and worked solution →A car runs 5 miles per kilowatt-hour. How many watt-hours does it use per mile?Read the answer and worked solution →A scale of 1:1 on a drawing means the object is shownRead the answer and worked solution →A model has a scale of 1:100. A wall is 5 cm long on the model. How long is the real wall?Read the answer and worked solution →The ratio of boys to girls in a club is 2:5. There are 14 boys. How many girls are there?Read the answer and worked solution →Rs 900 is shared in the ratio 4:5. What is the bigger share?Read the answer and worked solution →Milk and water are mixed 3:2 to make 20 litres. How many litres of water are in it?Read the answer and worked solution →A mix uses cement : sand = 1:2. If 6 bags of cement are used, how many bags of sand are needed?Read the answer and worked solution →A speed of 60 km/h is held steady. How far does the car go in 2.5 hours?Read the answer and worked solution →If 3:5 = x:20, what is x?Read the answer and worked solution →For what value of x are 4, 6 and x in proportion, meaning 4:6 = 6:x?Read the answer and worked solution →Which pair of ratios forms a proportion?Read the answer and worked solution →

Worked practice questions

If y is inversely proportional to x, which quantity stays constant?

  1. x + y
  2. x - y
  3. x / y
  4. x times y
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Correct answer: D. x times y

1. Inverse proportion means y = k/x. 2. Multiplying both sides by x gives xy = k. 3. So the product of x and y stays constant, not their sum or quotient. _Source: Wikipedia, Proportionality (mathematics), Inverse proportionality_

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y varies inversely with x, and y = 6 when x = 4. What is y when x = 8?

  1. 3
  2. 12
  3. 2
  4. 6
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Correct answer: A. 3

1. The product is constant: k = 4 x 6 = 24. 2. When x = 8, y = 24 / 8 = 3. 3. 12 would come from direct proportion, where doubling x doubles y. _Source: Wikipedia, Proportionality (mathematics), Inverse proportionality_

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In inverse proportion, when one variable increases, the other

  1. also increases
  2. decreases
  3. stays the same
  4. also doubles
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Correct answer: B. decreases

1. Direct proportion makes both variables rise or fall together. 2. Inverse proportion is the opposite. 3. An increase in one variable goes with a decrease in the other. _Source: Wikipedia, Proportionality (mathematics), Inverse proportionality_

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