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If S is the sum of reciprocals of a list of consecutive

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If S is the sum of reciprocals of a list of consecutive [#permalink] New post 16 May 2012, 08:35
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If S is the sum of reciprocals of a list of consecutive integers from 45 to 54, inclusive, S is approximately equal to

A. 0.1
B. 0.2
C. 0.3
D. 0.4
E. 0.5
[Reveal] Spoiler: OA

Last edited by Bunuel on 13 Aug 2014, 02:12, edited 1 time in total.
Added the OA.
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Re: If S is the sum of reciprocals of a list of consecutive [#permalink] New post 16 May 2012, 08:42
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gmihir wrote:
If S is the sum of reciprocals of a list of consecutive integers from 45 to 54, inclusive, S is approximately equal to

A. 0.1
B. 0.2
C. 0.3
D. 0.4
E. 0.5

Sorry, don't have an official answer.


We need to find the approximate value of 1/45+1/46+1/47+1/48+1/49+1/50+1/51+1/52+1/53+1/54. Now, the sum of these 10 terms will be very close to 10 times 1/50, which is 0.02*10=0.2.

Answer: B.
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Re: If S is the sum of reciprocals of a list of consecutive [#permalink] New post 24 Aug 2012, 03:27
Are these kind of progressions tested on the GMAT?
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Re: If S is the sum of reciprocals of a list of consecutive [#permalink] New post 24 Aug 2012, 09:09
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+1 B

All those numbers are close to 0.02.

Amogh: yes, that would be a GMAT question. You don't have to calculate, just estimate.
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Re: If S is the sum of reciprocals of a list of consecutive [#permalink] New post 05 Nov 2012, 14:18
I got 0.2 too (B). Please help. Here is my approach
(1/45) + (1/46) + .....+(1/54) = (45-44)/45 +(46-45)/46 +.....+(54-53)/54
= 10 -(44/45 + 45/46 + ...53/54). Each term in the bracket is > 0.977, and there are ten of them. Then their sum is roughly 9.8
10-9.8 = 0.2. But is this doable in 2 mn under stress and heat?
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Re: If S is the sum of reciprocals of a list of consecutive [#permalink] New post 06 Nov 2012, 12:47
my method was 1/45 + 1/46 + ... => 10/45 ~ 2/9 ~ .2
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Re: If S is the sum of reciprocals of a list of consecutive [#permalink] New post 19 Dec 2012, 02:59
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gmihir wrote:
If S is the sum of reciprocals of a list of consecutive integers from 45 to 54, inclusive, S is approximately equal to

A. 0.1
B. 0.2
C. 0.3
D. 0.4
E. 0.5

Sorry, don't have an official answer.


Solved this using Bunuel's technique that I saw on another similar problem.

S = \frac{1}{45}+\frac{1}{46}+...+\frac{1}{54}

Get number of terms: 54 - 45 + 1 = 10

Get lower limit: 10*\frac{1}{54}=\frac{5}{27}=0.18
Get upper limit: 10*\frac{1}{45}=\frac{2}{9}=0.22

0.18<S<0.22

Answer: B
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Re: If S is the sum of reciprocals of a list of consecutive [#permalink] New post 12 Aug 2014, 14:28
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Re: If S is the sum of reciprocals of a list of consecutive [#permalink] New post 12 Aug 2014, 20:39
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gmihir wrote:
If S is the sum of reciprocals of a list of consecutive integers from 45 to 54, inclusive, S is approximately equal to

A. 0.1
B. 0.2
C. 0.3
D. 0.4
E. 0.5

Sorry, don't have an official answer.


Bunuel, Kindly update OA for this question (Answer = B)
Thanks
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Re: If S is the sum of reciprocals of a list of consecutive [#permalink] New post 13 Aug 2014, 02:14
Expert's post
PareshGmat wrote:
gmihir wrote:
If S is the sum of reciprocals of a list of consecutive integers from 45 to 54, inclusive, S is approximately equal to

A. 0.1
B. 0.2
C. 0.3
D. 0.4
E. 0.5

Sorry, don't have an official answer.


Bunuel, Kindly update OA for this question (Answer = B)
Thanks

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Done. Thank you.
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NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: If S is the sum of reciprocals of a list of consecutive   [#permalink] 13 Aug 2014, 02:14
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