Question : Directions: Among four books, Book 1 is twice as heavy as Book 2. Book 3's weight is half of Book 2's weight. Book 4 is 60 grams more as compared to Book 2, but 60 grams less as compared to Book 1. Which book is the heaviest?
Option 1: Book 1
Option 2: Book 2
Option 3: Book 3
Option 4: Book 4
Correct Answer: Book 1
Solution :
Given:
Let W1 be the weight of Book 1, W2 be the weight of Book 2, W3 be the weight of Book 3 and W4 be the weight of Book 4.
I. Book 1 is twice as heavy as Book 2.
W1 > W2.
II. Book 3's weight is half of Book 2's weight.
W2 > W3.
III. Book 4 is 60 grams more than Book 2, but 60 grams less than Book 1. After combining all these statements –
W1 > W4 > W2 > W3.
Therefore, Book 1 is the heaviest of all. Hence, the first option is correct.
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