Question : A boy found that the average of 20 numbers is 35 when he mistakenly wrote the number '61' instead of '16'. What is the correct average of the 20 numbers?
Option 1: 32.75
Option 2: 37.25
Option 3: 34.75
Option 4: 34.25
Correct Answer: 32.75
Solution : Given: A boy found that the average of 20 numbers is 35. When he writes a number '61' instead of '16'. Difference = 61 – 16 = 45 $\therefore$ Correct average = 35 – $\frac{45}{20}$ = 35 – 2.25 = 32.75 Hence, the correct answer is 32.75.
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Question : The average of twelve numbers is 39. The average of the last five numbers is 35, and that of the first four numbers is 40. The fifth number is 6 less than the sixth number and 5 more than the seventh number. The average of the fifth and sixth numbers is:
Option 1: 47
Option 2: 39
Option 3: 44
Option 4: 50
Question : The average of 45 numbers was found to be 39. Later on, it was detected that the number 65 was misread as 56. Find the correct average of the given numbers.
Option 1: 39.2
Option 2: 37.2
Option 3: 38.2
Option 4: 36.2
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 : A's salary is 35% more than B's salary. How much percent is B's salary less than that of A's? (correct to the nearest integer)
Option 1: 17.5%
Option 2: 20%
Option 3: 35%
Option 4: 26%
Question : The average of ten numbers is 72. The average of the first four numbers is 69 and that of the next three numbers is 74. The 8th number is 6 more than the 9th number and 12 more than the 10th number. What is the average of the 8th and 9th numbers?
Option 1: 76
Option 2: 76.5
Option 3: 77
Option 4: 77.5
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