Question : A group of students has an average weight of 42 kg. One student of weight 48 kg leaves the group and another student of weight 44 kg joins the group. If the new average weight becomes 41.6 kg, then how many students are there in the group?
Option 1: 15
Option 2: 10
Option 3: 8
Option 4: 12
New: SSC MTS 2024 Application Form OUT; Direct Link
Don't Miss: Month-wise Current Affairs | Upcoming Government Exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 10
Solution : Let's denote the number of students in the original group as N So, Total weight = 42N When one student weight 48 kg leaves and another student weight 44 kg joins ⇒ Total weight = 42N – 48 + 44 Since the new average weight is given as 41.6 kg ⇒ $\frac{42N-48+44}{N}$ = 41.6 ⇒ ${42N-48+44} = 41.6N$ ⇒ 42N − 41.6N = 48 − 44 ⇒ 0.4N = 4 ⇒ N = 10 Hence, the correct answer is 10.
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Question : A group of boys has an average weight of 42 kg. One boy weighing 48 kg leaves the group and another boy weighing 38 kg joins the group. If the average now becomes 41 kg, then how many boys are there in the group?
Question : The average weight of six persons is 30 kg. If a new person joins this group, then the average weight becomes 28 kg. What is the weight of the new person?
Question : In a class, the average weight of 4 boys is 50 kg and the average weight of 4 girls is 40 kg. What is the average weight of all the 8 students taken together?
Question : The average weight of nine persons is 25 kg. If a new person joins this group, then the average weight becomes 26 kg. What is the weight of the new person?
Question : The average weight of the 25 members of the group is 39 kg. The average weight of 27 members of another group is 21 kg. What will be the total weight of the members of both groups?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile