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What is the reminder of 7^ (4n+3)* 6^n divided by 10? b. 4

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Manager
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What is the reminder of 7^ (4n+3)* 6^n divided by 10? b. 4 [#permalink] New post 05 Oct 2003, 21:36
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What is the reminder of 7^ (4n+3)* 6^n divided by 10?
b. 4
d. 8
CEO
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Re: DS#3 [#permalink] New post 06 Oct 2003, 02:14
araspai wrote:
What is the reminder of 7^ (4n+3)* 6^n divided by 10?
b. 4
d. 8


Did you mean PS ?

units digit of 7 ^ (4n+3) is always 3
units digit of 6 is always 6

3*6 = 18
units digit of product is 8..remainder 8

example..

n = 1 ... 7^7 * 6 .. the units digit is 8 ..remainder 8

n = 2 ... 7^11 * 6* 6 units digit is 8 .remainder 8

answer 8

thanks
praetorian
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 [#permalink] New post 09 Jan 2004, 06:51
if N = 0 then 7^3 = 343 the remainder is 3. Range of N is not stated.
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 [#permalink] New post 09 Jan 2004, 07:18
anandnk wrote:
if N = 0 then 7^3 = 343 the remainder is 3. Range of N is not stated.


agree, but when the answer choices are provided, then it is 8 :wink:
  [#permalink] 09 Jan 2004, 07:18
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What is the reminder of 7^ (4n+3)* 6^n divided by 10? b. 4

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