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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

This Question Belongs to Arithmetic Ability >> Average

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Comments ( 1 )

  1. Shrutika Oswal
    Shrutika Oswal :
    4 years ago

    Formula for Avg of odd natural number =n
    Therefore ans = 100
    Correct me if i am wrong

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