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The average of five numbers is 140. If one number is excluded, the average of the remaining four numbers is 130. The excluded number is :
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- 135
- 134
- 180
- 150
- 135
Correct Option: C
Here ,The average of five numbers = 140
Sum of five numbers = 5 × 140
If one number is excluded, then
The average of five numbers = 130
Sum of five numbers = 4 × 130
Required number = 5 × 140 – 4 × 130
Required number = 700 – 520 = 180
Second method to solve this question with the help of given formula :
Here, y = (140 – 130) = 10 , n = 5
Excluded number = Average + y (n – 1)
Excluded number = 140 + 10 × 4 = 180