What is the smallest number greater than 1000 that when divided by any one of the numbers 6, 9, 12, 15, 18 leaves a remainder of 3?
A
1063
B
1073
C
1083
D
1183
Correct Answer: Option C
Explanation
To solve this elegantly, we look at the patterns in previous years. A very similar question appeared in 2020 (Question 54), where the 'Elegant Approach' was to use divisibility rules instead of finding the LCM [24].
**Step 1: Identify the easiest ru