rlevochkin
What is the remainder when 1044 * 1047 * 1050 * 1053 is divided by 33?
A. 3
B. 27
C. 30
D. 21
E. 18
We can play with the questions the way we like to.... That's the beauty of remainder questions.
When 1044, 1047, 1050, and 1053 divided by 33 individually will give the remainders as 21, 24, 27, and 30 respectively.
Now as per rule, remainders are always non-negative, but still we can consider the negative remainders for the calculation as long as we convert them is positive remainder at the end.
So 21, 24, 27, and 30 when divided by 33 will give the negative remainders as -12, -9, -6, -3
(-12 * -9)(-6 * -3) --------> 108 * 18 ------->Positive Remainder -----> 9 * 18 --------> 162/33 ------Negative Remainder -----> -3 -------> Positive Remainder -----> -3 + 33 = 30 (Always add the divisor in to the negative remainder to obtain positive(correct) remainder)