The average of odd numbers up to 100 is
A. 49
B. 50.5
C. 50
D. 100
Answer: Option C
Solution(By Examveda Team)
Sum of odd numbers upto 100 = 1 + 3 + 5 +.....+ 99= $$\frac{50}{2}$$ [2 + (50 - 1) × 2]
= 2500
[$$\because $$ Sum of n terms of an A.P. with first term a and common difference]
$$\left[ {d = \frac{n}{2}\{ 2n + \left( {n - 1} \right)d\} } \right]$$
∴ Required average
= $$\frac{2500}{50}$$
= 50
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Comments ( 1 )
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A. 125 km/hr
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Formula for Avg of odd natural number =n
Therefore ans = 100
Correct me if i am wrong