BrainLab wrote:

What is the remainder when \(7^2 * 8^2\) is divided by 6?

(A) 1

(B) 2

(C) 3

(D) 4

(E) 5

Source: Gmat Math Bible

(7²)(8²) = (

49)(64)

= (

48 + 1)(64)

= (

48)(64) + (

1)(64)

Since 48 is a multiple of 6, we can conclude that (

48)(64) is a multiple of 6, so we get:

= (some multiple of 6) + (

1)(64)

= (some multiple of 6) + 64

= (some multiple of 6) + 60 + 4

Since 60 is a multiple of 6, we can write:

= (some multiple of 6) + (another multiple of 6) + 4

= (A MULTIPLE OF 6) + 4

So, when we divide the above by 6, we get a remainder of 4

Cheers,

Brent

_________________

Brent Hanneson – GMATPrepNow.com

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