Question : The average of 15 results is 21. The average of the first 7 of those is 21 and the average of the last 7 is 20. What is the 8th result?
Option 1: 25
Option 2: 31
Option 3: 28
Option 4: 22
Correct Answer: 28
Solution : The average of 15 results is 21, which means the sum of all 15 results is 15 × 21 = 315. The average of the first 7 results is 21, which means the sum of the first 7 results is 7 × 21 = 147. The average of the last 7 results is 20, which means the sum of the last 7 results is 7 × 20 = 140. So, the 8th result = Sum of all 15 results – Sum of first 7 results – Sum of last 7 results = 315 – 147 – 140 = 28 Hence, the correct answer is 28.
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Question : The average of 25 results is 20. The average of the first 12 results is 15 and that of the last 12 results is 18. Then the 13th result is:
Option 1: 100
Option 2: 101
Option 3: 104
Option 4: 103
Question : The average of 25 results is 20. The average of the first 12 results is 15 and that of the last 12 results is 18. Then, the 13th result is:
Question : Arrange the given ratios in descending order 15 : 7, 5 : 11, and 21 : 77.
Option 1: 21 : 77 > 5 : 11 > 15 : 7
Option 2: 15 : 7 > 5 : 11 > 21 : 77
Option 3: 15 : 7 > 21 : 77 > 5 : 11
Option 4: 5 : 11 > 15 : 7 > 21 : 77
Question : The average of 19 numbers is 22.8. The average of the first ten numbers is 18.4 and that of the last ten numbers is 28.6. If the $10^{\text {th}}$ number is excluded from the given numbers, then what is the average of the remaining numbers? (Your answer should be nearest to an integer.)
Option 1: 21
Option 2: 23
Option 3: 22
Option 4: 20
Question : Three boys, on average, are 25 years old, and their ages are in the ratio of 3 : 5 : 7. What is the age of the youngest boy?
Option 1: 24 years
Option 2: 21 years
Option 3: 12 years
Option 4: 15 years
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