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In a quiz competition, participants A, B, C, D, and E scored points as follows:

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Question: In a quiz competition, participants A, B, C, D, and E scored points as follows: A scored more than B but less than C. D scored less than E but more than A. Who scored the least? (2023)

Options:

  1. A
  2. B
  3. D
  4. E

Correct Answer: B

Exam Year: 2023

Solution: 

The order of scores is B < A < C < D < E. Therefore, B scored the least.

In a quiz competition, participants A, B, C, D, and E scored points as follows:

Practice Questions

Q1
In a quiz competition, participants A, B, C, D, and E scored points as follows: A scored more than B but less than C. D scored less than E but more than A. Who scored the least? (2023)
  1. A
  2. B
  3. D
  4. E

Questions & Step-by-Step Solutions

In a quiz competition, participants A, B, C, D, and E scored points as follows: A scored more than B but less than C. D scored less than E but more than A. Who scored the least? (2023)
  • Step 1: Identify the relationships between the scores based on the information given.
  • Step 2: From the statement 'A scored more than B but less than C', we can write: B < A < C.
  • Step 3: From the statement 'D scored less than E but more than A', we can write: A < D < E.
  • Step 4: Now combine the two relationships: B < A < C and A < D < E.
  • Step 5: This gives us the complete order of scores: B < A < C < D < E.
  • Step 6: From the order, we can see that B is the lowest score.
  • Inequalities – Understanding and arranging scores based on comparative statements.
  • Logical reasoning – Using given information to deduce the order of scores.
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