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
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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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Question : The average weight of 100 students is 32 kg. The average weight of the first 49 students is 30 kg and that of the last 50 students is 34 kg. What is the weight (in kg) of the 50th student?
Question : The average mark obtained by Saloni in four papers was 51, and in the fifth paper, she got 56 marks. Find her new average in all five papers.
Question : Directions: Select the option that is related to the third number in the same way as the second number is related to the first number and the sixth number is related to the fifth number. 16 : 20 :: 256 : ? :: 49 : 56
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