Question : 8 years ago, the average age of Rahul's family consisting of 6 members was 35 years. One year ago a new baby was born in this family. What will be the average age of the family four years hence?
Option 1: 41 years
Option 2: 37 years
Option 3: 40 years
Option 4: 43 years
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Correct Answer: 41 years
Solution : 8 years ago, the average age of Rahul's family consisting of 6 members was 35 years. Total of 6 members 8 year ago = 35 × 6 = 210 One year ago a new baby was born in this family. The total age of 6 members at the time the baby was born = 210 + 6 × 7 = 252 Present age of 6 members and baby = 252 + 7 = 259 The total age of the family after 4 years = 259 + 4 × 7 = 287 So, the average after 4 years = $\frac{\text{Sum of observations}}{\text{Total number of observations}}=\frac{287}{7} = 41$ years Hence, the correct answer is 41 years.
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Question : The average age of 6 members of a family is 20 years. If the age of the servant is included, then the average age increases by 20%. What is the age of the servant?
Option 1: 52 Years
Option 2: 56 years
Option 3: 50 years
Option 4: 48 years
Question : Four years ago, Shyam's age was $\frac{3}{4}$th times that of Ram. Four years hence, Shyam's age will be $\frac{5}{6}$th times that of Ram. What is the present age of Shyam?
Option 1: 24 years
Option 2: 20 years
Option 3: 16 years
Option 4: 15 years
Question : The average age of a husband and his wife 3 years ago was 39 years. The average age of the husband, wife, and child is 2 years hence will be 34 years. Find the present age of the child.
Option 1: 12 years
Option 2: 16 years
Option 3: 15 years
Option 4: 18 years
Question : The average age of 15 members of a committee is increased by 4 years when two members whose ages are 60 years and 70 years are replaced by two new members. What is the average age of the new members?
Option 1: 105 years
Option 2: 80 years
Option 3: 85 years
Option 4: 95 years
Question : The average age of four boys A, B, C, and D is 5 years and the average age of A, B, D, and E is 6 years. C is 8 years old. The age of E is (in years).
Option 1: 12
Option 2: 13
Option 3: 14
Option 4: 15
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