If positive integer x is divided by 2, the remainder is 1.

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If positive integer x is divided by 2, the remainder is 1. What is the remainder when x is divided by 4?

1. 31 < x < 35.
2. x is a multiple of 3.

The OA is A.

According to the question, the positive integer x is defined as 2n+1 i.e an odd number.

Statement 1: The only odd number between 31 and 35, excluding the two extremes is 33. Sufficient.

Statement 2: Looks at odd numbers that are multiples of 3. Different remainders possible. Insufficient.

Hence, A is the correct answer.

Has anyone another strategic approach to solving this DS question? Regards!
Source: — Data Sufficiency |

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by Jay@ManhattanReview » Wed Jun 20, 2018 10:54 pm

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AAPL wrote:If positive integer x is divided by 2, the remainder is 1. What is the remainder when x is divided by 4?

1. 31 < x < 35.
2. x is a multiple of 3.

The OA is A.

According to the question, the positive integer x is defined as 2n+1 i.e an odd number.

Statement 1: The only odd number between 31 and 35, excluding the two extremes is 33. Sufficient.

Statement 2: Looks at odd numbers that are multiples of 3. Different remainders possible. Insufficient.

Hence, A is the correct answer.

Has anyone another strategic approach to solving this DS question? Regards!
For Statement 2, we have odd numbers such as 3, 9, 15, 21... Dividing these by 4 gives remainders as 3, 1, 3, 1, respectively. No unique value of the remainder. Insufficient.

Hope this helps!

-Jay
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