What is the value of the integer k

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

by BTGmoderatorDC » Thu Jan 04, 2018 6:41 am

What is the value of the integer k?

(1) k + 3 > 0
(2) k^4 <= 0

What's the best way to determine whether statement 1 is sufficient?

OA B

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Source: Beat The GMAT — Data Sufficiency | Thu Jan 04, 2018 6:41 am

DavidG@VeritasPrep: Legendary Member; Posts: 2663; Joined: Wed Jan 14, 2015 8:25 amFollowed by: 128 members; Location: Boston, MA; Thanked: 1153 times; GMAT Score:770

by DavidG@VeritasPrep » Thu Jan 04, 2018 7:24 am

lheiannie07 wrote:What is the value of the integer k?

(1) k + 3 > 0
(2) k^4 <= 0

What's the best way to determine whether statement 1 is sufficient?

OA B

Statement 1: k > -3. k could be -2 or -1 or 0, etc. Not sufficient

Statement 2: Any number raised to an even exponent must be nonnegative. If k^4 is less than or equal to 0, and it can't be less than 0, then k^4 must, by definition, be equal to 0. Because we know definitively that k = 0 statement 2 alone is sufficient. The answer is B

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