Question

The average of 101 consecutive odd numbers is 303. Find the largest number.

• A. 373
• B. 401
• C. 409
• D. 403

Answer 1

The Correct Option is D

1. Average and Middle Number:

• The average of consecutive odd numbers is the middle number.
• Since there are 101 consecutive odd numbers, the average (303) is the 51st number.

2. Finding the Largest Number:

• There are 50 numbers after the middle number (51st number).
• The difference between consecutive odd numbers is 2.
• The difference between the 51st number and the 101st number is 50 * 2 = 100.
• Therefore, the largest number is 303 + 100 = 403.

Therefore, the largest number is 403.

The correct answer is Option 3.