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

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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, 14:34
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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.

Kudos for a correct solution.

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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, 20:24
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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, 20:50
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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, 11:48
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]

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New post 26 Dec 2018, 11:16
A -gives only one possibility ie.. 33 (sufficient)
B - when 9/4, rem = 1
when 12/4, rem - 0 (not suff)

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 26 Dec 2018, 12:21
Bunuel wrote:

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.

Kudos for a correct solution.


Note : If any number is even it must be divisible by 2 , otherwise the number is odd. So, x is ODD.

Statement 1: only odd in the given range : 33 . So, remainder when 33 is divided by 4 is 1. Sufficient.

Statement 2; unlimited multiples we have . Different multiples , different reminder . NOT sufficient.

A is the correct answer.
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Re: If positive integer x is divided by 2, the remainder is 1. What is the &nbs [#permalink] 26 Dec 2018, 12:21
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