NDA2017MathematicsSequences and SeriesActual
The sum of all the two-digit odd numbers is
Options
- A2475
- B2530
- C4905
- D5049
Correct answer
A. 2475
Step-by-step solution
Sum of odd numbers = n ^2 Two-digit odd numbers are from 11-99 . Number of odd numbers from 1 to 99=50 Sum of odd numbers from 1 to 99=50^2=2500 Number of odd numbers from 1+9=5 Sum of odd numbers from 1 to 9=5^2=25 So, Sum of all two digit odd numbers =2500-25=2475 .