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Q: When a positive integer is divided by 4 the remainder will be?
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What is the smallest positive integer other than 2 which when divided by 4 or 9 leaves a remainder of 2?

The use of the word 'or' means that the smallest positive integer is 6, as 6 ÷ 4 leaves a remainder of 2. If you mean the smallest positive integer what when divided by both 4 and 9 leaves a remainder of 2 then the answer is 38. 4x + 2 = M : 4x = M - 2 9y + 2 = M : 9y = M - 2 4x = 9y : x = 9y/4: x = 2.25y This means that for x to be an integer, y must = 4 or a multiple of 4. Thus, if y = 4 then 9y + 2 = 36 + 2 = 38 And, x = 9 If higher value integers were required then put y = 8,( or higher multiples of 4) Then 9y + 2 = 72 + 2 = 74 And, x = 18


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