Principle Of Mathematical Induction Question 29
Question: If m, n are any two odd positive integers with $ n<m $ , then the largest positive integer which divides all the numbers of the type $ m^{2}-n^{2} $ is
Options:
A) 4
B) 6
C) 8
D) 9
Correct Answer: C
Show Answer
Answer:
Solution:
$ \therefore m^{2}-n^{2}=4k^{2}+1+4k-4k^{2}+4k-1=8k $ Hence, all the numbers of the form $ m^{2}-n^{2} $ are always divisible by 8.
BETA
