sqrt(10)

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blaster: Master | Next Rank: 500 Posts; Posts: 233; Joined: Mon Jun 09, 2008 1:30 am; Thanked: 5 times

by blaster » Thu Jan 13, 2011 2:50 am

Of the following, which is most nearly equal to sqrt(10)?

(A) 3.1
(B) 3.2
(C) 3.3
(D) 3.4
(E) 3.5

what is the best an fastest approach for this kind of questions?

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Source: Beat The GMAT — Problem Solving | Thu Jan 13, 2011 2:50 am

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Anurag@Gurome: GMAT Instructor; Posts: 3835; Joined: Fri Apr 02, 2010 10:00 pmFollowed by: 523 members; Location: Milpitas, CA; Thanked: 1854 times; GMAT Score:770

by Anurag@Gurome » Thu Jan 13, 2011 2:58 am

blaster wrote:Of the following, which is most nearly equal to sqrt(10)?

(A) 3.1
(B) 3.2
(C) 3.3
(D) 3.4
(E) 3.5

Probably the best approach is to calculate the square root of 1000 and then put a decimal in the result.

Guess a square number in the vicinity of 1000. Say we start with 900. Then,

(30)^2 = 900
(31)^2 = 961 .... More towards 1000
(32)^2 = 1024 .... More than 1000

Now, 1024 is more nearer to 1000 than 961. Hence sqrt(1000) will be more near to 32. Thus sqrt(10) will be more near to 3.2.

The correct answer is B.

Anurag Mairal, Ph.D., MBA
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