Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Show that 25 n – 20 n – 8 n + 3 n , 
is divisible by 85.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
85 = 17 × 5 (Both are prime number)
25 n = (20 + 5) n
and 8 n = (5 + 3) n
So clearly (20 + 5) n – 20 n – (5 + 3) n + 3 n is divisible by 5
Also (17 + 8) n – 8 n – (17 + 3) n + 3 n is divisible by 17
So expression is divisible by 85
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