Logical Reasoning · Logical Reasoning
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A library has four books on shelf A, 8 books on shelf B. Some books are removed from shall be such that both shelves now have exactly the same number of books. How many books were removed from Shelf B?
- A
2 books
- B
3 books
- C
4 books
- D
6 books
Initially, Shelf A has 4 books and Shelf B has 8 books. To find how many books need to be removed from Shelf B so that both shelves have the same number of books, we can set up the equation:
Let x be the number of books removed from Shelf B. After removal, Shelf A will have 4 books and Shelf B will have (8 - x) books. We want these two quantities to be equal:
4 = 8 - x
Solving for x gives us:
x = 8 - 4 = 4
Thus, 4 books must be removed from Shelf B for both shelves to have the same number of books (4 books each). The other options are incorrect because they do not result in equal numbers of books on both shelves.
If 2 books were removed from Shelf B, Shelf B would have 6 books (8 - 2), while Shelf A has 4 books. They would not be equal.
If 3 books were removed from Shelf B, Shelf B would have 5 books (8 - 3), while Shelf A has 4 books. They would not be equal.
If 4 books are removed from Shelf B, Shelf B would have 4 books (8 - 4), while Shelf A also has 4 books. Both shelves would then have the same number of books.
If 6 books were removed from Shelf B, Shelf B would have 2 books (8 - 6), while Shelf A has 4 books. They would not be equal.
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