Question : If the average of 41 consecutive odd numbers is 49, what is the largest number?
Option 1: 89
Option 2: 91
Option 3: 93
Option 4: 95
Correct Answer: 89
Solution :
The average of 41 consecutive odd numbers is 49.
Since the average of an arithmetic progression (AP) with an odd number of terms is the same as its middle term,
Middle term = 21
st
term = 49
Largest number = last term = 41
st
term = 21
st
term + (20 × 2) = 49 + 40 = 89
Hence, the correct answer is 89.
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