A number when divided by 729 gives a remainder of 56. What will we get as remainder if the same number is divided by 27 ?Options4012
Question
A number when divided by 729 gives a remainder of 56. What will we get as remainder if the same number is divided by 27 ?
Options
- 4
- 12
Solution
The remainder when a number is divided by 729 is 56. This means that the number is of the form 729k + 56, where k is the quotient.
Now, we need to find the remainder when this number is divided by 27.
We know that 729 is a multiple of 27 (27*27 = 729). So, we can write 729k as 27(27k), which is a multiple of 27 and will leave no remainder when divided by 27.
So, when we divide the number by 27, the remainder will be the same as when 56 is divided by 27.
56 divided by 27 gives a quotient of 2 and a remainder of 2.
So, the remainder when the original number is divided by 27 is 2.
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