Five books are arranged on a shelf: A, B, C, D, and E. If A is to the left of B

Practice Questions

Q1
Five books are arranged on a shelf: A, B, C, D, and E. If A is to the left of B and C is to the right of D, which book is in the middle?
  1. A
  2. B
  3. C
  4. D

Questions & Step-by-Step Solutions

Five books are arranged on a shelf: A, B, C, D, and E. If A is to the left of B and C is to the right of D, which book is in the middle?
  • Step 1: Identify the books: A, B, C, D, and E.
  • Step 2: Understand the first condition: A is to the left of B. This means A comes before B in the arrangement.
  • Step 3: Understand the second condition: C is to the right of D. This means D comes before C in the arrangement.
  • Step 4: Start arranging the books based on the conditions. Since A must be before B, we can write A, B.
  • Step 5: Now, we need to place D and C. Since D must be before C, we can place them as D, C.
  • Step 6: We have A, B and D, C. We can combine them. One possible arrangement is A, B, D, C.
  • Step 7: We still have E left. We can place E at the end, resulting in A, B, D, C, E.
  • Step 8: Now, count the positions: A (1), B (2), D (3), C (4), E (5). The middle position is the 3rd position.
  • Step 9: The book in the middle position (3rd) is D.
  • Order of Arrangement – Understanding the relative positions of items based on given conditions.
  • Logical Reasoning – Using deductive reasoning to infer the correct order of items.
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