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 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
Question : A boy added all-natural numbers from 1 to 20. However, he added one number twice, due to which the sum became 215. What is the number which he added twice?
Option 1: 5
Option 2: 7
Option 3: 11
Option 4: 15
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