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

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Manager
Joined: 27 Jul 2003
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Location: Singapore
What is the reminder of 7^ (4n+3)* 6^n divided by 10? b. 4 [#permalink]

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05 Oct 2003, 22:36
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What is the reminder of 7^ (4n+3)* 6^n divided by 10?
b. 4
d. 8

Kudos [?]: 57 [0], given: 0

CEO
Joined: 15 Aug 2003
Posts: 3454

Kudos [?]: 904 [0], given: 781

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06 Oct 2003, 03:14
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

thanks
praetorian

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SVP
Joined: 30 Oct 2003
Posts: 1788

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Location: NewJersey USA

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09 Jan 2004, 07:51
if N = 0 then 7^3 = 343 the remainder is 3. Range of N is not stated.

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Director
Joined: 13 Nov 2003
Posts: 960

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Location: Florida

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09 Jan 2004, 08:18
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

Kudos [?]: 167 [0], given: 0

09 Jan 2004, 08:18
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