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Re: If S is the sum of reciprocals of a list of consecutive [#permalink]
16 May 2012, 08:42

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This post received KUDOS

Expert's post

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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.

Re: If S is the sum of reciprocals of a list of consecutive [#permalink]
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? Brother Karamazov

Re: If S is the sum of reciprocals of a list of consecutive [#permalink]
12 Aug 2014, 14:28

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Re: If S is the sum of reciprocals of a list of consecutive [#permalink]
08 Nov 2015, 19:48

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Re: If S is the sum of reciprocals of a list of consecutive [#permalink]
09 Nov 2015, 02:15

Expert's post

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

Such questions do not test your calculations. (In fact most of GMAT questions) They test your logic and how easily can you simplify a problem. That is why an approximate result is asked and not the absolute value.

Out of the given numbers, from 45 to 54, carrying out calculations with 50 would be easiest.

Hene instead of 1/45 + 1/46 + ... 1/50 + ... + 1/54, We can increase some terms and decrease some terms by changing the numbers with 50

Hence we have a sequence = 1/50 + 1/50 + ... + 1/50 (Total 20 terms) = 10/50 = 1/5 = 0.2 approximately Option B _________________

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