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If m is an integer, is m odd?

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If m is an integer, is m odd?  [#permalink]

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New post Updated on: 03 May 2016, 22:24
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If m is an integer, is m odd?

(1) m/2 is not an even integer.

(2) m – 3 is not an even integer.

Please explain.

My doubt is regarding the interpretation of the statements, as (1) says " m
2 is not an even integer.", does this mean that m can be anything other than a positive integer? i.e. non-positive integer, positive or negative fraction?

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Originally posted by ShashankDave on 03 May 2016, 22:18.
Last edited by Bunuel on 03 May 2016, 22:24, edited 1 time in total.
Renamed the topic and edited the question.
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Re: If m is an integer, is m odd?  [#permalink]

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New post 03 May 2016, 22:27
2
ShashankDave wrote:
If m is an integer, is m odd?

(1) m/2 is not an even integer.

(2) m – 3 is not an even integer.

Please explain.

My doubt is regarding the interpretation of the statements, as (1) says " m
2 is not an even integer.", does this mean that m can be anything other than a positive integer? i.e. non-positive integer, positive or negative fraction?


If m is an integer, is m odd?

(1) m/2 is not an even integer --> \(\frac{m}{2}\neq{even}\) could occur when \(m\) is odd as well as when \(m\) is even (10 and 5 for example) --> \(\frac{m}{2}=\frac{10}{2}=5\neq{even}\) and \(\frac{m}{2}=\frac{5}{2}=2.5\neq{even}\). Not sufficient.

(2) m-3 is not an even integer --> \(m-odd=odd\) --> \(m=odd+odd=even\). Sufficient.

Answer: B.
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If m is an integer, is m odd?  [#permalink]

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New post 11 Jul 2018, 22:47
- In 1st case

m/2 is not an even integer , so if m is divisible by 2 then m has to be even.

How can we test by substituting m=5 ?

Bunuel .. can you please help
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Re: If m is an integer, is m odd?  [#permalink]

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New post 11 Jul 2018, 22:50
prags1989 wrote:
- In 1st case

m/2 is not an even integer , so if m is divisible by 2 then m has to be even.

How can we test by substituting m=5 ?

Bunuel .. can you please help


m/2 is not an even integer does not mean that m/2 is necessarily an odd integer, it can be non-integer too.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

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Re: If m is an integer, is m odd? &nbs [#permalink] 11 Jul 2018, 22:50
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