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In a quiz competition, if A scored more than B but less than C, and D scored les

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Question: In a quiz competition, if A scored more than B but less than C, and D scored less than A but more than E, who scored the least?

Options:

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

Correct Answer: B

Solution:

Since A > B, C > A, and D > E, E must have the least score.

In a quiz competition, if A scored more than B but less than C, and D scored les

Practice Questions

Q1
In a quiz competition, if A scored more than B but less than C, and D scored less than A but more than E, who scored the least?
  1. A
  2. B
  3. D
  4. E

Questions & Step-by-Step Solutions

In a quiz competition, if A scored more than B but less than C, and D scored less than A but more than E, who scored the least?
  • Step 1: Understand the relationships between the scores. A scored more than B (A > B) and less than C (C > A).
  • Step 2: This means C scored the highest, followed by A, and then B. So, we have C > A > B.
  • Step 3: Next, we know D scored less than A but more than E (D < A and D > E).
  • Step 4: This means E scored the least because D is higher than E, and A is higher than D.
  • Step 5: Now we can summarize: C is the highest, then A, then D, then B, and finally E is the lowest.
  • Inequalities – Understanding and comparing scores using inequalities to determine relative positions.
  • Logical reasoning – Using logical deductions based on given conditions to arrive at conclusions.
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