og ps 169

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og ps 169

by simba12123 » Sat Oct 18, 2008 10:07 am
if n is a positive integer a n^2 IS DIVISIBLE by 72 then the largest pos integer that must divide n is?

a. 6
b.12
c.24
d.36
e.48


qa is b i got d. however 36x36 is 1296 which is divisiible by 72. whats up?
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by Mani_mba » Sat Oct 18, 2008 10:27 am
You probably misinterpreted the question.

Given : n^2 is divisible by 72

the least value of n to satisfy the above is 12.

n can also takes values like 24,48,36 etc

For all the above values of n (12,24,36....), 12 is the largest common divisor.

HTH.