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If a certain positive integer is divided by 9, the remainder
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1) If the integer is divided by 45, the remainder is 30.
2) The integer is divisible by 2.
The OA is A
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Using Statement 2, we know we get a remainder of 3 when we divide by 9, and a remainder of 0 when we divide by 2. Division by 2 and 9 have nothing to do with division by 5, so this information won't be useful -- we can get any remainder at all when we divide the number by 5. For example, the number could be 12, and the remainder could be 2 when we divide by 5, or the number could be 30, and the remainder could be 0 when we divide by 5 (and if you test larger numbers, you can get any other remainder - 48, 66, and 84 give the remainders 3, 1 and 4, respectively when you divide by 5).
So the answer is A.