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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divided by 33
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sanju09
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willbeatthegmat
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What is the remainder when 1044 * 1047 * 1050 * 1053 is divided by 33?
A. 3
B. 27
C. 30
D. 21
E. 18
Ans
there is a shortcut to deal with such questions..
when 1044/33..remainder is 21
1047/33...remainder is 24
1050/33...remainder is 27
1053/33....remainder is 30
now, take a pair of num..at a time
21*24/33 .... remainder is 9
27 * 30/33...remainder is 15
15* 9/33 ....remainder is 3
Therefore, a)3 is the ans.....
A. 3
B. 27
C. 30
D. 21
E. 18
Ans
there is a shortcut to deal with such questions..
when 1044/33..remainder is 21
1047/33...remainder is 24
1050/33...remainder is 27
1053/33....remainder is 30
now, take a pair of num..at a time
21*24/33 .... remainder is 9
27 * 30/33...remainder is 15
15* 9/33 ....remainder is 3
Therefore, a)3 is the ans.....
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sureshbala
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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
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
To find the remainder, we need to first find what are the remainders when 1044, 1047, 1050 and 1053 are divided by 33 individually.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
1044/33=31.......21
1047/33=31.......24
1050/33=31.......27
1053/33=31.......30
Now we need to find the remainders when 21*24 and 27*30 are divided by 33.
21*24/33=15......9
27*30/33=24......18
Finally we need to find the remainder when 9*18 is divided by 33:
9*18/33=4........30
So the answer is (C)
Yiliang
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willbeatthegmat
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willbeatthegmat wrote:What is the remainder when 1044 * 1047 * 1050 * 1053 is divided by 33?
A. 3
B. 27
C. 30
D. 21
E. 18
Ans
there is a shortcut to deal with such questions..
when 1044/33..remainder is 21
1047/33...remainder is 24
1050/33...remainder is 27
1053/33....remainder is 30
now, take a pair of num..at a time
21*24/33 .... remainder is 9
27 * 30/33...remainder is 15
15* 9/33 ....remainder is 3
Therefore, a)3 is the ans.....
The number divisible by 33 in the given range of numbers is 1056. Hence rewriting the equation as (1056-12)*(1056-9)*(1056-6) *(1056-3)
Now we know anything multiplied with 1056 will leave zero remainder.
Hence 12*9*6*3/33 = 1944/33 ...remainder is 30. Answer C.
Now we know anything multiplied with 1056 will leave zero remainder.
Hence 12*9*6*3/33 = 1944/33 ...remainder is 30. Answer C.
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x2suresh
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Nice work.GID09 wrote:The number divisible by 33 in the given range of numbers is 1056. Hence rewriting the equation as (1056-12)*(1056-9)*(1056-6) *(1056-3)
Now we know anything multiplied with 1056 will leave zero remainder.
Hence 12*9*6*3/33 = 1944/33 ...remainder is 30. Answer C.
