What is the largest number of apples not exceeding 440 that can be distributed among three persons in the proportions of 5 : 6 : 7?
A
440
B
432
C
420
D
400
Correct Answer: 420
The least common multiple of 5, 6 & 7 is 210. So, the the number of apples can be distributed in the ratio of 5 : 6 : 7 are 210, 420, 630 and so on. So, the highest number possible in this case not exceeding 440 will be 420.