Consecutive Reciprocals

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knight247: Legendary Member; Posts: 504; Joined: Tue Apr 19, 2011 1:40 pm; Thanked: 114 times; Followed by:11 members

Consecutive Reciprocals

by knight247 » Thu Feb 02, 2012 7:34 am

OA is D

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Source: Beat The GMAT — Problem Solving | Thu Feb 02, 2012 7:34 am

GMATGuruNY: GMAT Instructor; Posts: 15539; Joined: Tue May 25, 2010 12:04 pm; Location: New York, NY; Thanked: 13060 times; Followed by:1906 members; GMAT Score:790

by GMATGuruNY » Thu Feb 02, 2012 9:24 am

Determine the LOWER and UPPER LIMITS.

Lower limit:
The smallest term is 1/60.
If all 20 terms are 1/60, then K = 20 * 1/60 = 1/3.
Since 19 of the terms are GREATER than 1/60, K > 1/3.

Upper limit:
The greatest term is 1/41.
If all 20 terms are 1/41, then K = 20 * (1/41) = 20/41 â‰ˆ 1/2.
Since 19 of the terms are LESS than 1/41, K < 1/2.

Thus, 1/3 < K < 1/2.
Only I and II are below this range.

The correct answer is D.

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