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# S is the sum of the reciprocal of 91~100 inclusive. Which of

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S is the sum of the reciprocal of 91~100 inclusive. Which of [#permalink]

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12 Dec 2005, 22:05
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S is the sum of the reciprocal of 91~100 inclusive. Which of followings is smaller than S?

1. 1/8 2. 1/9 3. 1/10

a. none b. 1 only c. 3 only d. 1and 2 only e. 2and 3 only
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Re: PS - Reciprocal (Classic) [#permalink]

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12 Dec 2005, 22:27
gamjatang wrote:
S is the sum of the reciprocal of 91~100 inclusive. Which of followings is smaller than S?

1. 1/8 2. 1/9 3. 1/10

a. none b. 1 only c. 3 only d. 1and 2 only e. 2and 3 only

1/91+ 1/92+ ......1/100> 1/100 + 1/100 + ....1/100 ( 10 terms coz it's from 91 to 100) = 10*1/100 = 1/10

1/91+1/92+ ...+1/100< 1/91+1/91+ ....1/91 ( 10 terms also)= 10/91 < 10/90= 1/9 <1/8

----> C it is.
Re: PS - Reciprocal (Classic)   [#permalink] 12 Dec 2005, 22:27
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