What is the average of all numbers between 1000 and 1300 that are divisible by 25?
What is the average of all numbers between 1000 and 1300 that are divisible by 25?
1000 और 1300 के बीच (दोनों सहित) 25 से विभाज्य सभी संख्याओं का औसत क्या है?
Detailed Solution & Logic
Correct Answer:
1150
Solution
The numbers divisible by $25$ between $1000$ and $1300$ form an A.P.:
$1000,\ 1025,\ 1050,\ \ldots,\ 1300$
The average of an A.P. is:
$\text{Average}=\dfrac{\text{First Term}+\text{Last Term}}{2}$
$=\dfrac{1000+1300}{2}$
$=\dfrac{2300}{2}$
=1150
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