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32. | A number when divide by 6 leaves a remainder 3. When the square of the number is divided by 6, the remainder is? | |
A. | 0 | |
B. | 1 | |
C. | 2 | |
D. | 3 | |
Answer: Option D | |
Explanation: | |
Let x = 6q + 3. Then, x2 = (6q + 3)2 = 36q2 + 36q + 9 = 6(6q2 + 6q + 1) + 3 Thus, when x2 is divided by 6, then remainder = 3. |
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