A number when divided by 258 gives a remainder equal to 87. Find the remainder when the same number is divided by 43.Options0513
Question
A number when divided by 258 gives a remainder equal to 87. Find the remainder when the same number is divided by 43.Options0513
Solution
The remainder when a number is divided by 258 is 87. This means that the number is of the form 258k + 87, where k is the quotient.
We need to find the remainder when this number is divided by 43.
We can rewrite the number as follows:
258k + 87 = 43(6k) + 43*2 + 1
This is of the form 43m + 1, where m is another integer.
Therefore, when the number is divided by 43, the remainder is 1.
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