Join WhatsApp Icon JEE WhatsApp Group
Question 24

The sum of 8 positive integers is 22 and their LCM is 9. The number of integers among these that are less than 4 is


Correct Answer: 7

Solution

Share

Since the LCM is 9, every integer must be a divisor of 9, namely 1, 3, or 9. Writing the counts of each as $$a, b, c$$ with $$a+b+c=8$$ and $$a+3b+9c=22$$ gives the unique solution $$a=4, b=3, c=1$$. So the number of integers less than 4 (the 1s and 3s) is $$4+3=7$$.

Get AI Help

Other Cracku’s Useful Resources:

JEE Questions JEE Question Bank JEE Mains Previous Papers JEE Advanced Previous Papers JEE Study Material PDF JEE Mains Mock Test JEE Advanced Mock Test JEE Daily Target

Free JEE Questions

JEE Physics Questions JEE Maths Questions JEE Chemistry Questions
banner

50,000+ JEE Students Trusted Our Score Calculator

Predict your JEE Main percentile, rank & performance in seconds

Check Your Score Now
Ask AI