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anuj singh rana

· started a discussion

· 1 Months ago

What if n is 3.

Question:

Find the greatest number by which the expression 72n - 32n is always exactly divisible , n is natural number

Options:
A) 4
B) 10
C) 20
D) 40
Solution:
Ans:(d) If n=1  then 72 - 3 =40, so the value of given expression will always be a multiple of 40.i.e. the number is always divisible by 40.

72n - 32n  is always divisible by 49 - 9 = 40

ramesh negi

· commented

· 1 Months ago

FOR N = 1/2

Knowledge Expert

· commented

· 1 Months ago

If n=3, then to the greatest number is 40
regards

Shakshi Joshi

· commented

· 1 Months ago

then 2n=6 so 7^6 - 3^6 =116920, which is divisible by 40... Given answer is correct

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