What is the largest number of mangoes not exceeding 440 that can be distributed among three persons in the proportions 5:6:7?

What is the largest number of mangoes not exceeding 440 that can be distributed among three persons in the proportions 5:6:7?

A 420

B 432

C 436

D 440

Solution

Correct Answer: Option B

5+6+ 7 = 18

The highest number less than 440 divisible by 18 = 432

440/18 = 24.444

So, 24X18 = 432