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In a competition, a participant scored 45 out of 60 and was awarded a prize. Wha

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Question: In a competition, a participant scored 45 out of 60 and was awarded a prize. What is the ratio of the score to the total marks? (2019)

Options:

  1. 3:4
  2. 2:3
  3. 4:5
  4. 5:6

Correct Answer: 3:4

Exam Year: 2019

Solution: 

Ratio = Score : Total Marks = 45 : 60 = 3 : 4.

In a competition, a participant scored 45 out of 60 and was awarded a prize. Wha

Practice Questions

Q1
In a competition, a participant scored 45 out of 60 and was awarded a prize. What is the ratio of the score to the total marks? (2019)
  1. 3:4
  2. 2:3
  3. 4:5
  4. 5:6

Questions & Step-by-Step Solutions

In a competition, a participant scored 45 out of 60 and was awarded a prize. What is the ratio of the score to the total marks? (2019)
  • Step 1: Identify the score of the participant, which is 45.
  • Step 2: Identify the total marks possible, which is 60.
  • Step 3: Write the ratio of the score to the total marks as 45 : 60.
  • Step 4: Simplify the ratio by finding the greatest common divisor (GCD) of 45 and 60.
  • Step 5: The GCD of 45 and 60 is 15.
  • Step 6: Divide both numbers in the ratio by the GCD: 45 ÷ 15 = 3 and 60 ÷ 15 = 4.
  • Step 7: Write the simplified ratio as 3 : 4.
  • Ratio Calculation – Understanding how to express a score in relation to total marks as a ratio.
  • Simplification of Ratios – The ability to simplify ratios to their lowest terms.
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