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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?
A
B
C
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?
Steps
Concepts
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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