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Is k an odd integer? (1) k is an integer divisible by 3. (2) The squa

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Math Expert
Joined: 02 Sep 2009
Posts: 42328

Kudos [?]: 133104 [0], given: 12410

Is k an odd integer? (1) k is an integer divisible by 3. (2) The squa [#permalink]

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05 Nov 2017, 02:05
00:00

Difficulty:

35% (medium)

Question Stats:

79% (00:48) correct 21% (00:39) wrong based on 37 sessions

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Is k an odd integer?

(1) k is an integer divisible by 3.
(2) The square root of k is an integer divisible by 3.
[Reveal] Spoiler: OA

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Kudos [?]: 133104 [0], given: 12410

Manager
Joined: 06 Aug 2017
Posts: 73

Kudos [?]: 13 [0], given: 27

GMAT 1: 610 Q48 V24
Is k an odd integer? (1) k is an integer divisible by 3. (2) The squa [#permalink]

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05 Nov 2017, 05:08
Bunuel wrote:
Is k an odd integer?

(1) k is an integer divisible by 3.
(2) The square root of k is an integer divisible by 3.

E is the answer as follows

(1) k is an integer divisible by 3
Let k=3m => k=0,3,6,9,12,15,18,21,24,27,30, ...........................
The numbers marked in RED are odd and the numbers marked in BLUE are even
NOT SUFFICIENT

(2) The square root of k is an integer divisible by 3
Let k=9$$n^2$$ = 0,9,36,81,144,..........
$$\sqrt{k}$$ = 0,3,6,9,12
NOT SUFFICIENT

Combining both the conditions we get k = 0,9,36,81,144,..........
Clearly, some numbers are odd and some are even.
Hence, NOT SUFFICIENT

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Kudos [?]: 13 [0], given: 27

Intern
Joined: 03 May 2017
Posts: 6

Kudos [?]: 0 [0], given: 5

Location: United States
Concentration: Technology, Entrepreneurship
GPA: 3.86
Is k an odd integer? (1) k is an integer divisible by 3. (2) The squa [#permalink]

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05 Nov 2017, 12:17
Bunuel wrote:
Is k an odd integer?

(1) k is an integer divisible by 3.
(2) The square root of k is an integer divisible by 3.

1) Clearly NS, as both 3 and 6 are divisible by 3 but are odd and even respectively.
2) NS: If the square root of k can be divided by 3, then k has 9 as a factor. $$\sqrt{k} = \sqrt{3*3*(other int)^2} = 3*(other int)$$

1+2) If K has a factor of 9, as per 2, then we already know that k is an integer divisible by 3. No information added, 1+2 are not sufficient.

Kudos [?]: 0 [0], given: 5

Is k an odd integer? (1) k is an integer divisible by 3. (2) The squa   [#permalink] 05 Nov 2017, 12:17
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