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.

Answer:

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 - Statement 1 alone is sufficient, statement 2 is not.

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