Question : The average mark scored by 8 boys is 72. If the scores of three girls are also included, the average marks increase by 3. The average marks scored by the three girls are:
Option 1: 95
Option 2: 83
Option 3: 78
Option 4: 68
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: 83
Solution : The average mark scored by 8 boys is = 72 If the scores of three girls are also included, The average marks increase by = 3 Average = $\frac{\text{Sum of all the observations}}{\text{Total no. of observations}}$ Let the average marks of the three girls be $x$. Then, the total average is, 75 = $\frac{(72\times 8)+3\text{$x$}}{11}$ Solving for $x$, $x$ = $\frac{(75\times 11)-(72\times8)}{3}$ = 83 $\therefore$ The average mark of the three girls is 83. Hence, the correct answer is 83.
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Question : The average mark obtained in a test by the three students is $x$. If the marks of a new student are also considered, then the average mark increases by 2. What are the marks secured by the new student in the test?
Question : In a match, the average number of runs scored by 4 batsmen is 48. If the runs scored by three batsmen are 58, 28, and 24, respectively, how many runs did the fourth player score?
Question : 4 boys and 3 girls spent Rs. 120 on an average, of which boys spent Rs. 150 on an average. Then the average amount spent by the girls is:
Question : In a class of 70 students, 70% are girls and the remaining are boys. If the average of the girls' marks is 30 and that of the boys is 40, what is the average mark for the whole class?
Question : The average mark obtained by 19 boys in a college is 48. If the highest and lowest marks obtained are removed, the average is reduced by 4. What is the average of the highest and lowest marks obtained?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile