Question : The average of some natural numbers is 15. If 30 is added to the first number and 5 is subtracted from the last number, the new average becomes 17.5. What is the total number of natural numbers?
Option 1: 15
Option 2: 30
Option 3: 20
Option 4: 10
Correct Answer: 10
Solution : Let the number of natural numbers = n The sum of these natural numbers = 15 × n = 15n Since 30 is added and 5 is subtracted. 15n + 30 – 5 = 15n + 25 According to the question, $\frac{15n+25}{n}$ = 17.5 ⇒ 15n + 25 = 17.5n ⇒ 2.5n = 25 $\therefore$ n = 10 Hence, the correct answer is 10.
Result | Eligibility | Application | Selection Process | Cutoff | Admit Card | Preparation Tips
Question : A boy added all-natural numbers from 1 to 20. However, he added one number twice, due to which the sum became 215. What is the number which he added twice?
Question : The average age of 40 students in a class is 16 years. After the admission of 10 new students to the class, the average becomes 15 years. If the average age of 5 of the new students is 11 years, then the average age (in years) of the remaining 5 new students is:
Question : The average of 19 numbers is 22.8. The average of the first ten numbers is 18.4 and that of the last ten numbers is 28.6. If the $10^{\text {th}}$ number is excluded from the given numbers, then what is the average of the remaining numbers? (Your answer should be nearest to an
Question : The average of twelve numbers is 39. The average of the last five numbers is 35, and that of the first four numbers is 40. The fifth number is 6 less than the sixth number and 5 more than the seventh number. The average of the fifth and sixth numbers is:
Question : The average of twelve numbers is 39. The average of the last five numbers is 35, and that of the first four numbers is 40. The fifth number is 6 less than the sixth number and 5 more than the seventh number. The average of the sixth and seventh numbers is:
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile