Bissoy.com
Doctors Medicines MCQs Q&A

The average of six consecutive odd numbers is 36. If the next four consecutive odd numbers are included, then what is the average of all the numbers?

The average of six consecutive odd numbers is 36. If the next four consecutive odd numbers are included, then what is the average of all the numbers? Correct Answer 40

The average of 6 six consecutive odd numbers is = 36

Let the first number be x, then

x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 36 × 6

⇒ 6x + 30 = 216

⇒ 6x = 216 - 30

⇒ 6x = 186

⇒ x = 186/6

⇒ x = 31

So, the next four numbers are (x + 12), (x + 14), (x + 16) and (x + 18).

The next four numbers are 43, 45, 47 and 49.

Sum of 10 consecutive odd numbers = 216 + 43 + 45 + 47 + 49 = 400

Average of 10 consecutive odd numbers = 400/10 = 40

Short Trick:

Average of 6 consecutive odd numbers = 36

If next four consecutive odd numbers included, then average of 10 consecutive odd numbers = 36 + 4 = 40

Related Questions

The average of 7 consecutive odd numbers is A. If next 4 and previous 3 odd numbers to these 7 odd numbers are also included, then what is the new average of these 14 consecutive odd numbers?
The average of six consecutive odd numbers, in increasing order, is 42. If the next five consecutive odd numbers are included, then what is the average of all the numbers?
Seven consecutive number starting from x which is an even number. Out of these seven if the difference between the sum of four consecutive odd numbers and the sum of three consecutive even numbers is 12. Find the average of next five consecutive odd numbers.
There are 4 consecutive odd numbers, x1 , x2 , x3 and x4 and three consecutive even numbers y1 , y2 and y3 . The average of the odd numbers is 6 less than the average of the even numbers. If the sum of the three even numbers is 16 less than the sum of the four odd numbers, what is the average of x1 , x2, x3 and x4?
There are 4 consecutive odd numbers (x1, x2, x3 and x4) and three consecutive even numbers (y1, y2 and y3). The average of the odd numbers is 6 less than the average of the even numbers. If the sum of the three even numbers is 16 less than the sum of the four odd numbers, what is the average of x1, x2, x3 and x4?
Each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give the answer. What is the smallest number of the six numbers? I. The average of six consecutive odd numbers is 8. II. The sum of six consecutive odd numbers is 48.
Given below is a question and two statements numbered I and II. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give the answer. What is the smallest number of the six numbers? I. The average of six consecutive odd numbers is 8. II. The sum of six consecutive odd numbers is 48.
Sum of 4 consecutive even numbers is greater than three consecutive odd numbers by 81 . If the sum of the least odd and even numbers is 59 then find the sum of largest of odd and even numbers is 59 then find the sum of largest odd and even numbers.
Average of 7 consecutive odd numbers is 31. If the previous and next odd number to these 7 odd numbers are also included, then what will be the new average?
Given below are three quantities named A, B and C. Based on the given information, determine the relation among the three quantities. P is the average of 10 consecutive even numbers starting from 402, Q is the average of 7 consecutive odd numbers starting from 451 and R is the average of the sum of first 39 natural numbers and the sum of first 19 natural numbers. Quantity A: What is the average of P and Q? Quantity B: What is the average of P and R? Quantity C: What is the average of Q and R?