Question : The average of 15 numbers is 45. One more number is added, and the new average becomes 50. What is that new number?
Option 1: 125
Option 2: 118
Option 3: 105
Option 4: 115
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Correct Answer: 125
Solution : The average of 15 numbers = 45 Sum of 15 numbers = 15 × 45 = 675 The average of 16 numbers = 50 Sum of 16 numbers = 16 × 50 = 800 The new number = 800 – 675 = 125 Hence, the correct answer is 125.
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Question : The average of 4 numbers is 45. The average of the first two numbers is thrice the average of the other two numbers. What is the sum of the first two numbers?
Option 1: 122
Option 2: 105
Option 3: 125
Option 4: 135
Question : The average of 20 numbers is 30 and that of the other 30 numbers is 50. What is the average of all the numbers?
Option 1: 42
Option 2: 47
Option 3: 44
Option 4: 45
Question : The average of 9 numbers is 47. If a number is removed, then the average becomes 48. Which number was removed?
Option 1: 39
Option 2: 42
Option 3: 45
Option 4: 40
Question : The ratio of two numbers is 5 : 9. If 6 is added to the greater number and 6 is subtracted from the smaller number, the greater number becomes 6 times the smaller number. What are the numbers?
Option 1: 15 and 17
Option 2: 10 and 18
Option 3: 25 and 45
Option 4: 20 and 36
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