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Is the integer X between 20 and 26 inclusive? (1) x is multiple of 9

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BillyZ
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Is the integer X between 20 and 26 inclusive? (1) x is multiple of 9 [#permalink] Is the integer X between 20 and 26 inclusive? (1) x is multiple of 9   21 Apr 2017, 17:36
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Is the integer X between 20 and 26 inclusive?

(1) x is multiple of 9
(2) x = 18
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D
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Re: Is the integer X between 20 and 26 inclusive? (1) x is multiple of 9 [#permalink] Is the integer X between 20 and 26 inclusive? (1) x is multiple of 9   21 Apr 2017, 20:34
Statement states multiple Of 9-----9,18,27----Hence sufficient

Statement 2 directly gives the value ----Sufficient

Hence D
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Re: Is the integer X between 20 and 26 inclusive? (1) x is multiple of 9 [#permalink] Is the integer X between 20 and 26 inclusive? (1) x is multiple of 9   21 Jun 2020, 06:22
chetan2u, IanStewart Could you please solve the problem above? Thanks in advance!
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Re: Is the integer X between 20 and 26 inclusive? (1) x is multiple of 9 [#permalink] Is the integer X between 20 and 26 inclusive? (1) x is multiple of 9   21 Jun 2020, 06:27
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billybealright wrote:
Is the integer X between 20 and 26 inclusive?

(1) x is multiple of 9
(2) x = 18


So the question becomes -- Is \(20\leq{x}\leq{26}\)?

(1) x is multiple of 9
So x can be 0, 9, 18, 27, ....
We can see that there are no multiples of 9 in the given range. Thus our answer will be a definite NO, x does not lie between 20 and 26 both inclusive.
Sufficient

(2) x = 18
Clearly x does not lie between 20 and 26 both inclusive.
Sufficient

D
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Re: Is the integer X between 20 and 26 inclusive? (1) x is multiple of 9 [#permalink] Is the integer X between 20 and 26 inclusive? (1) x is multiple of 9   21 Jun 2020, 06:33
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billybealright wrote:
Is the integer x between 20 and 26 inclusive?

(1) x is multiple of 9
(2) x = 18


Target question: Is the integer X between 20 and 26 inclusive?

Statement 1: x is multiple of 9
Some possible values of x include: 9, 18, 27, 36, 45, 54, ....
Notice that NONE of the possible x-values are between 20 and 26 inclusive.
So, the answer to the target question is NO, x is NOT between 20 and 26 inclusive
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: x = 18
if x = 18, then the answer to the target question is NO, x is NOT between 20 and 26 inclusive
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: D

ASIDE: I believe you may have made the common mistake of confusing the answer to the target question with the answer to the sufficiency question.
I cover that common error in the video below (starting at 3:16)

Cheers,
Brent
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Re: Is the integer X between 20 and 26 inclusive? (1) x is multiple of 9 [#permalink] Is the integer X between 20 and 26 inclusive? (1) x is multiple of 9   21 Jun 2020, 07:03
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billybealright wrote:
Is the integer X between 20 and 26 inclusive?

(1) x is multiple of 9
(2) x = 18


Asked: Is the integer X between 20 and 26 inclusive?

(1) x is multiple of 9
x = {9,18,27,...}
Since none of the values in between 20 and 26 inclusive
Answer = NO
SUFFICIENT

(2) x = 18
Since 18 is NOT in between 20 and 26 inclusive
Answer = NO
SUFFICIENT

IMO D
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Re: Is the integer X between 20 and 26 inclusive? (1) x is multiple of 9 [#permalink] Is the integer X between 20 and 26 inclusive? (1) x is multiple of 9   11 Apr 2024, 09:25
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Re: Is the integer X between 20 and 26 inclusive? (1) x is multiple of 9 [#permalink]
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