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# Of the following sums, which is the greatest?

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Of the following sums, which is the greatest? [#permalink]  28 Sep 2013, 15:32
00:00

Difficulty:

35% (medium)

Question Stats:

68% (01:48) correct 31% (00:55) wrong based on 32 sessions
Of the following sums, which is the greatest?

(A) \frac{1}{\sqrt{2}} + \frac{1}{\sqrt{3}} + \frac{1}{\sqrt{4}} + \frac{1}{\sqrt{5}}
(B) \frac{1}{2^2} + \frac{1}{3^2} + \frac{1}{4^2} + \frac{1}{5^2}
(C) \frac{1}{2^2} + \frac{1}{2^3} + \frac{1}{2^2} + \frac{1}{2^5}
(D) 1- \frac{1}{2} + \frac{1}{3} - \frac{1}{4}
(E) \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5}
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Kudos [?]: 18333 [0], given: 2345

Re: Of the following sums, which is the greatest? [#permalink]  29 Sep 2013, 09:09
Expert's post
jlgdr wrote:
Of the following sums, which is the greatest?

(A) \frac{1}{\sqrt{2}} + \frac{1}{\sqrt{3}} + \frac{1}{\sqrt{4}} + \frac{1}{\sqrt{5}}
(B) \frac{1}{2^2} + \frac{1}{3^2} + \frac{1}{4^2} + \frac{1}{5^2}
(C) \frac{1}{2^2} + \frac{1}{2^3} + \frac{1}{2^2} + \frac{1}{2^5}
(D) 1- \frac{1}{2} + \frac{1}{3} - \frac{1}{4}
(E) \frac{1}{2} + \frac{1}{3} + \frac{1}{4} + \frac{1}{5}

\sqrt{2}<2<2^2, thus \frac{1}{\sqrt{2}}>\frac{1}{2}>\frac{1}{2^2}.

_________________
Re: Of the following sums, which is the greatest?   [#permalink] 29 Sep 2013, 09:09
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