Question : The average of six numbers is 3.95. The average of two of them is 3.4, while the average of the other two is 3.85. The average of the remaining two numbers is:
Option 1: 4.6
Option 2: 4.5
Option 3: 4.8
Option 4: 4.7
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Correct Answer: 4.6
Solution : Given: The average of six numbers = 3.95 The average of two numbers = 3.4 The average of the other two numbers = 3.85 According to the question, The sum of all numbers = 6 × 3.95 = 23.7 The sum of two numbers = 2 × 3.4 = 6.8 The sum of the other two numbers = 2 × 3.85 = 7.7 The sum of the remaining two numbers = (sum of all numbers – sum of two numbers – sum of other two numbers) = (23.7 – 6.8 – 7.7) = 9.2 So, the average of two remaining numbers $=\frac{9.2}{2}=4.6$ Hence, the correct answer is 4.6.
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