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1044 × 1047 × 1050 × 1053 is divided by 33

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by sanju09 » Tue Apr 05, 2011 5:30 am
What is the remainder when 1044 × 1047 × 1050 × 1053 is divided by 33?
(A) 3
(B) 18
(C) 21
(D) 27
(E) 30
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by Anurag@Gurome » Tue Apr 05, 2011 5:44 am
sanju09 wrote:What is the remainder when 1044 × 1047 × 1050 × 1053 is divided by 33?
(A) 3
(B) 18
(C) 21
(D) 27
(E) 30
1044/33 gives 21 as the remainder.
1047/33 gives 24 as the remainder.
1050/33 gives 27 as the remainder.
1053/33 gives 30 as the remainder.
Again we find the remainders when 21*24/33 and 27*30/33
21*24/33 gives 9 as the remainder.
27*30/33 gives 18 as the remainder.
So, 9*18/33 gives 30 as the remainder, which is less than 33.

The correct answer is E.
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