the average of all odd numbers upto 100is, Average, General Mathematics

Question:The average of all odd numbers upto `100`is:

A `51` 
B `50` 
C `49.5` 
D `49`

/54

+ AnswerB

+ ExplanationSum of odd numbers upto `100`

`= 1 + 3 + 5 + 7 +......+ 95 + 97 + 99`

`= (1 + 99) + (3 + 97) + (5 + 95) +...upto `25`pairs.

`= 100 + 100 + 100+....(25 times)`

`= 2500`

:. Average 

`= (2500/50)`

`= 50`

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