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

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Tough and Tricky questions: Remainders.



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.

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[Reveal] Spoiler: OA

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Re: If positive integer x is divided by 2, the remainder is 1. What is the [#permalink]

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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 -->x can be 32,33,34; but given is x is not divisible by 2 hence only option left is 33....sufficient
(2) x is a multiple of 3 --> if x=3, the remainder when x is divided by 4 is 3
if x=9, the remainder when x is divided by 4 is 1...............insufficient

Ans. A)
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Re: If positive integer x is divided by 2, the remainder is 1. What is the [#permalink]

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New post 09 Dec 2014, 21:50
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Answer A

(1) Sufficient.
The only number between 31 and 35 that divided by 2 gives a remainder of 1 is 33. Thus, 33 divided by 4, will give a remainder of 1 as well.

(2) Not sufficient.
If x is 3, then divided by 2 it will give a remainder of 1, and if divided by 4 the remainder will be 3.
However, if x is 9, then divided by 2 it will give a remainder of 1, and if divided by 4 the remainder will be 1 as well.
More than one answer possible.

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Re: If positive integer x is divided by 2, the remainder is 1. What is the [#permalink]

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New post 23 Dec 2015, 12:48
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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Re: If positive integer x is divided by 2, the remainder is 1. What is the [#permalink]

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Re: If positive integer x is divided by 2, the remainder is 1. What is the   [#permalink] 03 Oct 2017, 10:27
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