Lesson: Introduction to Fractions

Comment on Introduction to Fractions

M is the sum of the reciprocals of the consecutive integers from 201 to 300, inclusive. Which of the following is true?

(A) 1/3 < M < 1/2
(B) 1/5 < M < 1/3
(C) 1/7 < M < 1/5
(D) 1/9 < M < 1/7
(E) 1/12 < M < 1/9

Hi Brent,

Grateful to give me your version of solution to the above mentioned question.

Many thanks

Fatima-Zahra
gmat-admin's picture

Hi Fatima-Zahra,

Here's my step-by-step solution: https://www.beatthegmat.com/m-is-the-sum-of-the-reciprocals-of-the-conse...

Cheers,
Brent

Thank you Brent!
I really do not understand the principle the extreme value!!
Grateful for your help
Fatima-Zahra

Hey, I was trying to solve this question and I got it wrong. Also, the answers in that page did not make sense to me. I was wondering if you could kindly explain it to me.

The question is:(4th one from reinforcement activity)

If a/b = 1/3, b/c = 2, c/d = 1/2, d/e = 3 and e/f = 1/4, then what is the value of abc/def ?

(A) 27/4
(B) 27/8
(C) 3/4
(D) 3/8
(E) 1/4
gmat-admin's picture

Here's my solution: https://gmatclub.com/forum/if-a-b-1-3-b-c-2-c-d-1-2-d-e-3-and-e-f-1-4-th...

I took the approach of plugging in values for a, b, c, d, e, and f that satisfy all of the given conditions (e.g., a/b = 1/3, b/c = 2, etc)

Does that help?

Cheers,
Brent

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