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In a quiz competition, the scores of participants are as follows: M scored more

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Question: In a quiz competition, the scores of participants are as follows: M scored more than N but less than O. P scored less than M but more than Q. If Q scored the least, who has the highest score? (2023)

Options:

  1. M
  2. N
  3. O
  4. P

Correct Answer: O

Exam Year: 2023

Solution: 

The order of scores is Q < P < M < O < N. Therefore, O has the highest score.

In a quiz competition, the scores of participants are as follows: M scored more

Practice Questions

Q1
In a quiz competition, the scores of participants are as follows: M scored more than N but less than O. P scored less than M but more than Q. If Q scored the least, who has the highest score? (2023)
  1. M
  2. N
  3. O
  4. P

Questions & Step-by-Step Solutions

In a quiz competition, the scores of participants are as follows: M scored more than N but less than O. P scored less than M but more than Q. If Q scored the least, who has the highest score? (2023)
  • Step 1: Identify the relationships between the scores based on the information given.
  • Step 2: From the statement 'M scored more than N but less than O', we can write: N < M < O.
  • Step 3: From the statement 'P scored less than M but more than Q', we can write: Q < P < M.
  • Step 4: Combine the two sets of relationships: Since Q < P < M < O and N < M, we can conclude that Q < P < M < O < N.
  • Step 5: Now, we can see the complete order of scores: Q < P < M < O < N.
  • Step 6: Identify the highest score from the order. The highest score is O.
  • Inequalities and Order Relations – Understanding how to compare and order scores based on given relationships.
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