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Is w an integer? (1) 3w is an odd number. (2) 2w is an even number.

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Bunuel
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Is w an integer? (1) 3w is an odd number. (2) 2w is an even number. [#permalink] New post   10 May 2020, 05:30
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58% (01:08) correct 42% (01:10) wrong based on 60 sessions
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Is w an integer?

(1) 3w is an odd number.
(2) 2w is an even number.

Show Spoiler
Is w a whole number?

1) 3w is an odd number.
2) 2w is an even number.
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B
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Re: Is w an integer? (1) 3w is an odd number. (2) 2w is an even number. [#permalink] New post   10 May 2020, 05:43
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Bunuel wrote:
Is w an integer?

(1) 3w is an odd number.
(2) 2w is an even number.

Show Spoiler
Is w a whole number?

1) 3w is an odd number.
2) 2w is an even number.


Asked: Is w an integer?

(1) 3w is an odd number.
Let w=1/3; 3w = 1; odd number but w is NOT an integer
Let w=1; 3w =3; odd number and w is an integer
NOT SUFFICIENT

(2) 2w is an even number.
w may be even or odd number but MUST be an integer
SUFFICIENT

IMO B
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Is w an integer? (1) 3w is an odd number. (2) 2w is an even number. [#permalink] New post   Updated on: 10 May 2020, 08:58
#1
3w is odd number
w= 1 or 1/3 ; insufficient
#2
2w is even number
w has to be an integer value

so sufficient
OPTION B
Bunuel wrote:
Is w an integer?

(1) 3w is an odd number.
(2) 2w is an even number.

Show Spoiler
Is w a whole number?

1) 3w is an odd number.
2) 2w is an even number.

Originally posted by Archit3110 on 10 May 2020, 06:37.
Last edited by Archit3110 on 10 May 2020, 08:58, edited 2 times in total.
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Re: Is w an integer? (1) 3w is an odd number. (2) 2w is an even number. [#permalink] New post   10 May 2020, 06:58
Expert Reply
Bunuel wrote:
Is w an integer?

(1) 3w is an odd number.
(2) 2w is an even number.

Show Spoiler
Is w a whole number?

1) 3w is an odd number.
2) 2w is an even number.


Queestion: Is w an integer?

Statement 1: 3w is an odd number.

w may be 1 (an Integer) or 1/3 (a Non-Integer) hence

NOT SUFFICIENT

Statement 2: 2w is an Even number.

i.e. 2w = even

i.e. w = even/2 = Odd integer (an Integer) hence

SUFFICIENT

Answer: Option B
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Re: Is w an integer? (1) 3w is an odd number. (2) 2w is an even number. [#permalink] New post   10 May 2020, 07:09
GMATinsight
sir , for #2 why aren't we considering that w can be √w ? value of √w will be +ve number( rational / irrational) and when √w multiplied by 2 will give an even number ( rational or irrational)...
had it been given in #2 that 2w is an even integer then w would have to be an integer value ?



GMATinsight wrote:
Bunuel wrote:
Is w an integer?

(1) 3w is an odd number.
(2) 2w is an even number.

Show Spoiler
Is w a whole number?

1) 3w is an odd number.
2) 2w is an even number.


Queestion: Is w an integer?

Statement 1: 3w is an odd number.

w may be 1 (an Integer) or 1/3 (a Non-Integer) hence

NOT SUFFICIENT

Statement 2: 2w is an Even number.

i.e. 2w = even

i.e. w = even/2 = Odd integer (an Integer) hence

SUFFICIENT

Answer: Option B
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Is w an integer? (1) 3w is an odd number. (2) 2w is an even number. [#permalink] New post   10 May 2020, 08:17
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Archit3110 wrote:
GMATinsight
sir , for #2 why aren't we considering that w can be √w ? value of √w will be +ve number( rational / irrational) and when √w multiplied by 2 will give an even number ( rational or irrational)...
had it been given in #2 that 2w is an even integer then w would have to be an integer value ?



GMATinsight wrote:
Bunuel wrote:
Is w an integer?

(1) 3w is an odd number.
(2) 2w is an even number.

Show Spoiler
Is w a whole number?

1) 3w is an odd number.
2) 2w is an even number.


Queestion: Is w an integer?

Statement 1: 3w is an odd number.

w may be 1 (an Integer) or 1/3 (a Non-Integer) hence

NOT SUFFICIENT

Statement 2: 2w is an Even number.

i.e. 2w = even

i.e. w = even/2 = Odd integer (an Integer) hence

SUFFICIENT

Answer: Option B


Archit3110

We are considering all possible values of w (Rational and irrational) but can you suggest one value of w which is not Integer yet, 2w is even integer???

You selection of values in statement 2 is not apt. check your examples in your solution

e.g. for w = √5, 2w = 2√5 which is not even Integer so w=√5 is not an acceptable value of w. For any acceptable value of w, 2w must be even integer and then we will examine whether w is an integer or not.
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Re: Is w an integer? (1) 3w is an odd number. (2) 2w is an even number. [#permalink] New post   09 Oct 2023, 05:34
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Re: Is w an integer? (1) 3w is an odd number. (2) 2w is an even number. [#permalink]
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