Question : The average mark scored by three students in a test was 55. When two more students ( A and B ) were added, the new average marks were reduced by 5. If B scores 15 marks more than A, what were the marks scored by A?
Option 1: 33
Option 2: 35
Option 3: 40
Option 4: 30
New: SSC CHSL tier 1 answer key 2024 out | SSC CHSL 2024 Notification PDF
Recommended: How to crack SSC CHSL | SSC CHSL exam guide
Don't Miss: Month-wise Current Affairs | Upcoming government exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: 35
Solution : Average marks of 3 students = 55 Use the formula to find the average, Average = $\frac{\text{Sum of the marks}}{{\text{Total number of students}}}$ The sum of the Marks = Average × Total number of students Sum of marks of 3 students = 55 × 3 = 165 When (A and B) are added, the average marks become = 55 – 5 = 50 Sum of marks of 5 students = 50 × 5 = 250 Marks of A and B = 250 – 165 = 85 Let marks of A = $x$, If B scores 15 marks more than A, B = $x+15$ $\therefore x+x+15=85$ ⇒ $2x+15=85$ $\therefore x=35$ Hence, the correct answer is 35.
Candidates can download this e-book to give a boost to thier preparation.
Result | Eligibility | Application | Admit Card | Answer Key | Preparation Tips | Cutoff
Question : The average of 30 numbers is 40 and that of the other 40 numbers is 30. The average of all the numbers is:
Question : The average marks obtained by 80 students in an examination is 50. If the average marks of passed students is 55 and the number of students who failed the examination is 30, then what are the average marks of students who failed the examination?
Question : The three sides of a triangle are 9, 24, and S units. Which of the following is correct?
Question : The average number of runs scored by a cricketer in 42 innings is 30. The difference between his maximum and minimum scores in an inning is 100. If these two innings are not taken into consideration, then the average score of the remaining 40 innings is 28. What are the
Question : The average weight of a class of 30 students is 45 kg. One of the students whose weight is 48.5 kg was replaced by another student and the average weight was increased by 200 g. Find the weight of the new student.
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile