BTGmoderatorDC wrote:What is the remainder when 1555 * 1557 * 1559 is divided by 13?
(A) 0
(B) 2
(C) 4
(D) 9
(E) 11
OA E
Source: Veritas Prep
Remainder when 1555*1557*1559 is divided by 13
= (Remainder when 1555 is divided by 13) * (Remainder when 1557 is divided by 13) * (Remainder when 1559 is divided by 13)
Let's find out the remainder when 1555 is divided by 13.
Remainder when 1555 is divided by 13 = 8 (You have to literally calculate it)
Since 1557 is 2 greater than 1555, the remainder when 1557 is divided by 13 = 8 + 2 = 10;
Similarly, the remainder when 1559 is divided by 13 = 10 + 2 = 12
So, Remainder when 1555*1557*1559 is divided by 13
= Remainder when 8*10*12 is divided by 13
= Remainder when 80*12 is divided by 13
Remainder when 80 is divided by 13 = 2 (You have to literally calculate it)
Thus, Remainder when 1555*1557*1559 is divided by 13
= Remainder when 80*12 is divided by 13
= Remainder when 2*12 is divided by 13
= Remainder when 24 is divided by 13
= 11
The correct answer:
E
Hope this helps!
-Jay
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