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Select the correct answer15.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?Options48675

Question

Select the correct answer15.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?Options48675

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Solution

The correct answer is 7.

Here's the step-by-step solution:

  1. First, we need to find a number that when divided by 5 leaves a remainder of 2. The smallest such number is 7 (since 5*1 + 2 = 7).

  2. Then, we need to find a number that when divided by 3 leaves a remainder of 1, and is also in the form of 5k+7 (since the number must also satisfy the first condition). The smallest such number is 7 (since 3*2 + 1 = 7).

  3. Finally, we check what is the remainder when this number (7) is divided by 15. The remainder is 7.

So, the correct answer is 7.

This problem has been solved

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