Is $7<\sqrt{n}<8?$

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M7MBA: Moderator; Posts: 2058; Joined: Sun Oct 29, 2017 4:24 amFollowed by: 5 members; Thanked: 1 times

by M7MBA » Sat Jun 05, 2021 5:20 am

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Is $7<\sqrt{n}<8?$

(1) $n > 50$

(2) $n < 60$

Answer: C

Source: GMAT Paper Tests

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Source: Beat The GMAT — Data Sufficiency | Sat Jun 05, 2021 5:20 am

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Ian Stewart: GMAT Instructor; Posts: 2623; Joined: Mon Jun 02, 2008 3:17 amFollowed by: 355 members; Location: Montreal; Thanked: 1090 times; GMAT Score:780

Re: Is $7<\sqrt{n}<8?$

by Ian Stewart » Sat Jun 05, 2021 9:02 am

Since every quantity here is positive, we can just square the inequality - the question is, "Is 49 < n < 64", from which the answer is instantly C.

For online GMAT math tutoring, or to buy my higher-level Quant books and problem sets, contact me at ianstewartgmat at gmail.com

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