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Bunuel
\(\sqrt{184,513}\) is between

(A) 100 and 200
(B) 200 and 300
(C) 300 and 400
(D) 400 and 500
(E) 500 and 600

Clear (D) , check using the options -

(A) 100 and 200

200^2 = 40000 < 184513

(B) 200 and 300

300^2 = 90000 < 184513

(C) 300 and 400

400^2 = 160000 < 184513

(D) 400 and 500

500^2 = 250000 > 184513

400^2 = 160000 < 184513

(E) 500 and 600

600^2 = 360000 > 184513

500^2 = 250000 > 184513

Hence among the given options only (D) is correct...
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Such questions are better solved by trying options and when it is not clear which option to try first then better start with option C. I straightaway tried option D as square of 400 is 16000 which is less than 184513 and square of 500 is 25000 is greater than 184513.
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Hello from the GMAT Club BumpBot!

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