Is the integer n odd? (1) n is divisible by 3 (2) n is divisible by 5 : Data Sufficiency (DS)

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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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Manager

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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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06 Feb 2012, 07:04

00:00

Difficulty:

5% (low)

Question Stats:

75% (00:37) correct

25% (00:38) wrong

based on 212 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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06 Feb 2012, 07:09

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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16 Apr 2016, 06:41

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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02 Oct 2018, 23:52

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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03 Oct 2018, 00:29

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

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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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03 Oct 2018, 03:00

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]

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04 Jan 2020, 07:32

Is the integer n odd?

(1) n is divisible by 3.
6/3 n is even 9/3 n is odd
(2) n is divisible by 5.
10/5 n is even 15/5 n is odd
1& 2 lcm 15 then also n is both even & odd

Re: Is the integer n odd? (1) n is divisible by 3 (2) n is divisible by 5 [#permalink] 04 Jan 2020, 07:32

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