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15.A certain number when successively divided by 3 and 5 leaves reminder 1 and 2. what is the reminder, if the same number be divided by 15?Options74658

Question

15.A certain number when successively divided by 3 and 5 leaves reminder 1 and 2. what is the reminder, if the same number be divided by 15?Options74658

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Solution

The question is asking for the remainder when a certain number is divided by 15. This number, when divided by 3 and 5, leaves remainders of 1 and 2 respectively.

Step 1: We start by finding a number that leaves a remainder of 1 when divided by 3. This could be any number of the form 3n + 1, where n is any integer.

Step 2: Next, we need this number to also leave a remainder of 2 when divided by 5. To find such a number, we can start with 1 (from 3n + 1) and keep adding 3 until we find a number that leaves a remainder of 2 when divided by 5. Doing this, we find that 8 is such a number (since 8 divided by 5 leaves a remainder of 2).

Step 3: Finally, we need to find the remainder when 8 is divided by 15. Doing this, we find that the remainder is 8.

So, the answer is 8.

This problem has been solved

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