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PS - True

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Director
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PS - True [#permalink]

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New post 24 Mar 2009, 21:42
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A
B
C
D
E

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Which of the following about (1/11)+(1/12)+....+(1/20) is true?

A. >1/2
B. =1/2
C. =1/4
D. =1/8
E. <1/4

How to proceed?? :?:
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Re: PS - True [#permalink]

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New post 24 Mar 2009, 23:16
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My ans is A.

Explanation:
As, 1/11>1/20
Similarly, 1/12>1/20
.
.
.
1/19>1/20

hence,
(1/11)+(1/12)+....+(1/20) > (1/20)+(1/20)+....+(1/20)
or, Sum>10(1/20)
or, Sum>1/2
Director
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Re: PS - True [#permalink]

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New post 25 Mar 2009, 09:15
absolutely, A.

Thanks for explanation.
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Director
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Re: PS - True [#permalink]

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New post 02 Jul 2009, 03:25
super cool explanation!!
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Director
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WE 1: Investment Banking - 6yrs
Re: PS - True [#permalink]

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New post 02 Jul 2009, 04:04
abhishekik wrote:
My ans is A.

Explanation:
As, 1/11>1/20
Similarly, 1/12>1/20
.
.
.
1/19>1/20

hence,
(1/11)+(1/12)+....+(1/20) > (1/20)+(1/20)+....+(1/20)
or, Sum>10(1/20)
or, Sum>1/2


+1 good explanation


Also, logically

we can eliminate C & D...can never be equal to 0.25 & 0.125.
E - we can eliminate because the answer cannot be less than 0.25.
1/11 = 0.0909
1/20 = 0.0025..both nearly adds to 0.0934, besides, you also have 8 more numbers inbetween, so it obvious that it cannot be less than 0.25.
B - GMAT wouldnt want us to calculate the exact number, if we did, this would take more than 2-3 mins to solve. Eliminate.
Hence, A

A. >1/2
B. =1/2
C. =1/4
D. =1/8
E. <1/4
Re: PS - True   [#permalink] 02 Jul 2009, 04:04
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