elect 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?Options74658
Question
elect 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?Options74658
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 first consider the remainder when the number is divided by 3. The number can be expressed in the form of 3n + 1, where n is the quotient.
Step 2: Next, we consider the remainder when the number is divided by 5. The number can be expressed in the form of 5m + 2, where m is the quotient.
Step 3: We need to find a number that satisfies both conditions. We can start by finding numbers that satisfy the first condition (3n + 1) and check if they also satisfy the second condition (5m + 2).
Step 4: The smallest number that satisfies both conditions is 11.
Step 5: Finally, we divide 11 by 15. The remainder is 11.
So, the correct answer is 11. However, this option is not given in the question. There might be a mistake in the question or the options provided.
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