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Question : The average of 11 results is 50. If the average of the first six results is 49 and that of the last six is 52, the sixth number is:

Option 1: 48

Option 2: 50

Option 3: 52

Option 4: 56


Team Careers360 21st Jan, 2024
Answer (1)
Team Careers360 23rd Jan, 2024

Correct Answer: 56


Solution : Given: The average of 11 results is 50.
The average of the first 6 results is 49.
The average of the last 6 results is 52.
According to the question,
The sum of 11 results = 50 × 11 = 550
The sum of the first 6 results = 49 × 6 = 294
The sum of the last 6 results = 52 × 6 = 312
So, the sixth result = sum of first 6 results + sum of last 6 results – sum of 11 results
⇒ The sixth result = 294 + 312 – 550 = 56
Hence, the correct answer is 56.

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