fozzzy wrote:

If K is the sum of reciprocals of the consecutive integers from 43 to 48, inclusive, then K is closest in value to which of the following?

A. 1/12

B. 1/10

C. 1/8

D. 1/6

E. 1/4

We want the

approximate sum of 1/43 + 1/44 + 1/45 + . . . + 1/48

Let's make the following observations about the

upper and lower values:

Upper values: If

all 6 fractions were 1/43, the sum would be (6)(1/43) = 6/43 ~ 6/42 = 1/7

Lower values: If

all 6 fractions were 1/48, the sum would be (6)(1/48) = 6/48 = 1/8

From this we can conclude that 1/8 < K < 1/7

If K is between 1/8 and 1/7, then K must be closer to 1/8 than it is to 1/6

Answer = C

Cheers,

Brent

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Brent Hanneson – Founder of gmatprepnow.com