UPSC CDS 2 2023 Math Paper

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Question: Is average of the largest and the smallest of 4 given numbers greater than the average of the 4 numbers?
Statement-I: The difference between the largest and the second largest numbers is less than the difference between the second smallest and the smallest of the numbers.
Statement-II: The difference between the largest and the smallest numbers is greater than the difference between the second largest and the second smallest of the numbers.
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