Question : The average age of eight girls is y years. 5 new girls having ages (in years) given by y + 3, y – 6, y + 15, y + 8, and y + 6 join the class. What is the new average age of the class?
Option 1: (y + 2) years
Option 2: (y + 6) years
Option 3: (y + 3) years
Option 4: (y + 1) years
New: SSC MTS Tier 1 Answer key 2024 out
Don't Miss: Month-wise Current Affairs | Upcoming Government Exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: (y + 2) years
Solution : The average age of eight girls = y years Ages of 5 new girls = y + 3, y – 6, y + 15, y + 8, y + 6 New average = $\frac{\text{Sum of all ages}}{\text{Total number of girls}}$ The sum of the ages of the eight girls = 8y The sum of the ages of the new girls = (5y + 26) Therefore, the sum of the ages of all 13 girls after the new girls join = 8y + 5y + 26 = 13y + 26 The total number of girls in the class is = 8 + 5 = 13 Using the formula, New average = $\frac{\text{Sum of all ages}}{\text{Total number of girls}}=\frac{13\text{y} + 26}{13}= \text{y}+ 2$ Hence, the correct answer is y + 2 years.
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Question : The average age of 5 children is 10 years. If two more children of ages 11 years and 16 years join, then what will be the new average age?
Option 1: 11 years
Option 2: 10 years
Option 3: 13 years
Option 4: 12 years
Question : The ratio of the ages of Ram and Shyam 15 years ago was 2 : 5. The ratio of their present ages is 5 : 8. What will be the present age of Shyam (in years)?
Option 1: 10
Option 2: 15
Option 3: 25
Option 4: 40
Question : If (7x + y) : (7x – y) = 7 : 3, then what is the value of x : y?
Option 1: 4 : 3
Option 2: 5 : 14
Option 3: 15 : 6
Option 4: 6 : 15
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
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
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile