When a natural number 'n' is divided by 4, the remainder is 3. What will be the remainder when (2n + 3) is divided by 4?
Correct Answer:
A. 1
Explanation:
To find the remainder when (2n + 3) is divided by 4, we first use the information that n leaves a remainder of 3 when divided by 4. This can be expressed as n = 4k + 3, where k is an integer. Substituting this into the expression, we get 2(4k + 3) + 3, which simplifies to 8k + 6 + 3, or 8k + 9. Since 8k is perfectly divisible by 4, we only need to find the remainder of 9 divided by 4. Because 9 = (4 * 2) + 1, the final remainder is 1.
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