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1. If a certain integer x is divided by 4, the remainder is 3, then all of the following could be an integer except ----
- A. x/11
- B. x/11
- C. x/11
- D. x/11
Answer: Option C
Explanation:
Q. If a certain integer x is divided by 4, the remainder is 3, then all of the following could be an integer except ----
When x is divided by 4 the remainder is 3 simply means that x is not divisible by 4, so it cannot be divisible by 8 either.
∴ x/8 is not an integer.
When x is divided by 4 the remainder is 3 simply means that x is not divisible by 4, so it cannot be divisible by 8 either.
∴ x/8 is not an integer.
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