Join Our JEE Preparation Group
Prep with like-minded aspirants; Get access to free daily tests and study material.
Sign in
Please select an account to continue using cracku.in
↓ →
Join Our JEE Preparation Group
Prep with like-minded aspirants; Get access to free daily tests and study material.
How many positive integers less than 2009 are divisible by any one perfect square greater than 1678?
Correct Answer: 4
The perfect squares between 1678 and 2009 are $$41^2 = 1681$$, $$42^2 = 1764$$, $$43^2 = 1849$$ and $$44^2 = 1936$$. Twice any of them exceeds 2009, so the only multiples below 2009 are the squares themselves. There are 4 such integers.
Was this solution helpful?
Predict your JEE Main percentile, rank & performance in seconds
Educational materials for JEE preparation
Ask our AI anything
AI can make mistakes. Please verify important information.
AI can make mistakes. Please verify important information.