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Is the integer n odd? (1) n is divisible by 3 (2) n is divisible by 5

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Is the integer n odd? (1) n is divisible by 3 (2) n is divisible by 5  [#permalink]

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New post 06 Feb 2012, 08:04
1
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

74% (00:37) correct 26% (00:42) wrong based on 126 sessions

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Is the integer n odd?

(1) n is divisible by 3.
(2) n is divisible by 5.
Spoiler: OA

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Re: Is the integer n odd? (1) n is divisible by 3 (2) n is divisible by 5  [#permalink]

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New post 06 Feb 2012, 08:09
fiendex wrote:
Is the integer n odd?

1) n is divisible by 3
2) n is divisble by 5


It's straight E. Even when we consider two statements together we have that n is divisible by both 3 and 5, so by 15 but n can be even multiple of 15 (0, 30, 60, ...) as well as odd multiple of 15 (15, 45, 75, )

Hope it's clear.
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Re: Is the integer n odd? (1) n is divisible by 3 (2) n is divisible by 5  [#permalink]

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New post 16 Apr 2016, 07:41
fiendex wrote:
Is the integer n odd?

1) n is divisible by 3
2) n is divisble by 5


Statement 1. If n=9 then Yes but if n=18 then No. Insufficient
Statement 2. If n=5 then Yes but if n=10 then No.Insufficient

(1)+(2) If n=15 then Yes but if n=30 then No. Still insufficient. Answer E
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Re: Is the integer n odd? (1) n is divisible by 3 (2) n is divisible by 5  [#permalink]

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New post 03 Oct 2018, 00:52
Bunuel wrote:
Is the integer n odd?

(1) n is divisible by 3.
(2) n is divisible by 5.


Problems dealing with number properties can often be solved theoretically, with very few calculations.
This is a Logical approach.

(1) Since 3 is odd and 3 times any even number is even, this is insufficient.

(2) As before, 5 is odd but 5 times an even is even.

Combined.
The LCM is 15 which is odd but 15 times any even number is even.
Still insufficient.

(E) is our answer.
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Re: Is the integer n odd? (1) n is divisible by 3 (2) n is divisible by 5  [#permalink]

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New post 03 Oct 2018, 01:29
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Bunuel wrote:
Is the integer n odd?

(1) n is divisible by 3.
(2) n is divisible by 5.


Time needed: 23s

For me, in those kinds of questions, it's faster to guess numbers:

Statement 1:
The number could be 6(even) or 9(odd) -> Not sufficient. Remove A and D
Statement 2:
The number could be 10(even) or 15(odd) -> Not sufficient. Remove B
Statement 1 and 2 combined:
The number could be 15(odd) or 30(even) -> Not sufficient. Remove C.

Correct answer: E

Please, give kudos if you found this post helpful and quote if you need further help :)
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Re: Is the integer n odd? (1) n is divisible by 3 (2) n is divisible by 5  [#permalink]

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New post 03 Oct 2018, 04:00
Bunuel wrote:
Is the integer n odd?

(1) n is divisible by 3.
(2) n is divisible by 5.



It is asking if n is in the form of 2x+1

1) n/3 makes n 3,6,9,12,15... multiples of 3
So we don’t get a definitive answer.

2) n/5 makes n be 5,10,15,20... multiples of 5

We don’t get a definitive answer too.

Combined

n/3 = x so n = 3x and n/5 = y so n = 5y

It makes it a multiple of 15

15,30,45,60,75,90 etc..

We also don’t get a definitive answer.

Answer choice E.

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Re: Is the integer n odd? (1) n is divisible by 3 (2) n is divisible by 5   [#permalink] 03 Oct 2018, 04:00
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