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Consecutive Reciprocals
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GMATGuruNY
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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 ≈ 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.
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 ≈ 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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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
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ceilidh.erickson
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Here are two similar problems that rely on thinking about EXTREMES, not on actually solving:
https://www.beatthegmat.com/m-is-the-sum ... tml#793900
https://www.beatthegmat.com/1-33-1-34-1- ... tml#801231
https://www.beatthegmat.com/m-is-the-sum ... tml#793900
https://www.beatthegmat.com/1-33-1-34-1- ... tml#801231
Ceilidh Erickson
EdM in Mind, Brain, and Education
Harvard Graduate School of Education
EdM in Mind, Brain, and Education
Harvard Graduate School of Education
