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by sanju09 » Tue Feb 24, 2009 6:04 am
What is the remainder when 1044 * 1047 * 1050 * 1053 is divided by 33?

A. 3
B. 27
C. 30
D. 21
E. 18
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Re: divided by 33

by sureshbala » Tue Feb 24, 2009 6:38 am
sanju09 wrote:What is the remainder when 1044 * 1047 * 1050 * 1053 is divided by 33?

A. 3
B. 27
C. 30
D. 21
E. 18
Folks, we know that 33 = 11x3.

Clearly the given number is divisible by 3.

Also the remainder when 1044 is divided by 11 is -1 (take -ve remainder to make speed up ur calculation.)

So the remainder when 1044 * 1047 * 1050 *1053 is divided by 11 = -1 * 2 * 5 * 8 = -1 *10*8 (here again instead of 10 you can take the remainder as -1).

So we can conclude that the remainder is 8.

Now your option should satisfy both the conditions namely, it must be exactly divisible by 3 and it must leave a remainder 8 when divided by 11.

From the given choices it is 30
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Re: divided by 33

by ven4gmat » Tue Feb 24, 2009 7:02 am
sureshbala wrote:
sanju09 wrote:What is the remainder when 1044 * 1047 * 1050 * 1053 is divided by 33?

A. 3
B. 27
C. 30
D. 21
E. 18
Folks, we know that 33 = 11x3.

Clearly the given number is divisible by 3.

Also the remainder when 1044 is divided by 11 is -1 (take -ve remainder to make speed up ur calculation.)

So the remainder when 1044 * 1047 * 1050 *1053 is divided by 11 = -1 * 2 * 5 * 8 = -1 *10*8 (here again instead of 10 you can take the remainder as -1).

So we can conclude that the remainder is 8.

Now your option should satisfy both the conditions namely, it must be exactly divisible by 3 and it must leave a remainder 8 when divided by 11.

From the given choices it is 30
Dear sureshbala, I still remember one of your posts where you have considered -ve remainders and concluded the answer fast...

Believe me, I have solved this exactly the way in which you have done....So it's working for me man....keep rocking
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