It is currently 12 May 2021, 12:29 |

Customized

for You

Track

Your Progress

Practice

Pays

- May
**13**### Get Your Game On: Preparing for Your Grad School Application [Free Guide]

09:00 PM PDT

-10:00 PM PDT

Learn how to evaluate your profile, skills, and experiences to determine if, when, and where you should apply to graduate school. - May
**15**### Free Workshop for the GRE

02:00 PM EDT

-03:30 PM EDT

There is no mystery to scoring high on the GRE. It is prep. Start with this free, teacher-led GRE Workshop. You will review key content, and pick up strategies to help you answer questions faster. Bonus: here - May
**15**### LEARN WITH AN EXPERT TEACHER—FOR FREE

02:00 PM EDT

-03:30 PM EDT

Free Workshop for the GRE Saturday, March 15th at 2 PM Eastern - May
**19**### Is a GMAT or GRE Tutor Worth It?

08:00 PM PDT

-09:00 PM PDT

In this article, we’ll explore how much a GMAT tutor costs relative to other options. Then we’ll discuss why you might hire a GMAT tutor as your preferred GMAT prep option

If k is the sum of the reciprocals of the consecutive intege
[#permalink]
13 Sep 2017, 12:56

2

Expert Reply

1

Bookmarks

Question Stats:

If k is the sum of the reciprocals of the consecutive integers from 41 to 60 inclusive, which of the following are less than k?

Indicate all such statements.

❑ \(\frac{1}{4}\)

❑ \(\frac{1}{3}\)

❑ \(\frac{1}{2}\)

Show: :: OA

A,B

_________________

GRE Prep Club OFFICIAL Android App

New to the GRE, and GRE CLUB Forum?

GRE: All you do need to know about the GRE Test | GRE Prep Club for the GRE Exam - The Complete FAQ

Search GRE Specific Questions | Download Vault

Posting Rules: QUANTITATIVE | VERBAL

FREE Resources: GRE Prep Club Official LinkTree Page | Free GRE Materials - Where to get it!! (2020)

Free GRE Prep Club Tests: Got 20 Kudos? You can get Free GRE Prep Club Tests

GRE Prep Club on : Facebook | Instagram

Questions' Banks and Collection:

ETS: ETS Free PowerPrep 1 & 2 All 320 Questions Explanation. | ETS All Official Guides

3rd Party Resource's: All Quant Questions Collection | All Verbal Questions Collection

Books: All GRE Best Books

Scores: The GRE average score at Top 25 Business Schools 2020 Ed. | How to study for GRE retake and score HIGHER - (2020)

How is the GRE Score Calculated -The Definitive Guide (2021)

Tests: GRE Prep Club Tests | FREE GRE Practice Tests [Collection] - New Edition (2021)

Vocab: GRE Prep Club Official Vocabulary Lists for the GRE (2021)

New to the GRE, and GRE CLUB Forum?

GRE: All you do need to know about the GRE Test | GRE Prep Club for the GRE Exam - The Complete FAQ

Search GRE Specific Questions | Download Vault

Posting Rules: QUANTITATIVE | VERBAL

FREE Resources: GRE Prep Club Official LinkTree Page | Free GRE Materials - Where to get it!! (2020)

Free GRE Prep Club Tests: Got 20 Kudos? You can get Free GRE Prep Club Tests

GRE Prep Club on : Facebook | Instagram

Questions' Banks and Collection:

ETS: ETS Free PowerPrep 1 & 2 All 320 Questions Explanation. | ETS All Official Guides

3rd Party Resource's: All Quant Questions Collection | All Verbal Questions Collection

Books: All GRE Best Books

Scores: The GRE average score at Top 25 Business Schools 2020 Ed. | How to study for GRE retake and score HIGHER - (2020)

How is the GRE Score Calculated -The Definitive Guide (2021)

Tests: GRE Prep Club Tests | FREE GRE Practice Tests [Collection] - New Edition (2021)

Vocab: GRE Prep Club Official Vocabulary Lists for the GRE (2021)

Re: If k is the sum of the reciprocals of the consecutive intege
[#permalink]
13 Sep 2017, 18:47

2

Sum up 1/60 20 times to get 1/3.

Answer is definitely more than 1/3. Therefore answer is 1/2, as it is the only option greater than 1/3.

Answer is definitely more than 1/3. Therefore answer is 1/2, as it is the only option greater than 1/3.

Re: If k is the sum of the reciprocals of the consecutive intege
[#permalink]
24 Oct 2017, 01:35

1

If k is the sum of the reciprocals of the consecutive integers from 41 to 60 inclusive, which of the following are less than k?

Indicate all such statements.

❑ \frac{1}{4}

❑ \frac{1}{3}

❑ \frac{1}{2}

Since K is the sum of 1/41 to 1/60 and it is a evenly spaced set, we can easily calculate the sum of set k as follows:

(1/41 + 1/60)/(2) * 20 = 0,41

We multiply by 20 since we have 20 values in our set.

Hence A an B are the correct answers as they are < 0,41

I hope this helped !

Indicate all such statements.

❑ \frac{1}{4}

❑ \frac{1}{3}

❑ \frac{1}{2}

Since K is the sum of 1/41 to 1/60 and it is a evenly spaced set, we can easily calculate the sum of set k as follows:

(1/41 + 1/60)/(2) * 20 = 0,41

We multiply by 20 since we have 20 values in our set.

Hence A an B are the correct answers as they are < 0,41

I hope this helped !

Re: If k is the sum of the reciprocals of the consecutive intege
[#permalink]
25 Apr 2018, 11:20

1

S = 1/41 +1/42 + ... + 1/60

There are 40 elements >= 1/60 in that set => S > 20 * 1/60 = 1/3

Since 1/3 > 1/4 => S > 1/4 also

There are 40 elements < 1/40 in that set => S < 20 *1/40 = 1/2 => Eliminate C

The answer: A, B

There are 40 elements >= 1/60 in that set => S > 20 * 1/60 = 1/3

Since 1/3 > 1/4 => S > 1/4 also

There are 40 elements < 1/40 in that set => S < 20 *1/40 = 1/2 => Eliminate C

The answer: A, B

Re: If k is the sum of the reciprocals of the consecutive intege
[#permalink]
24 May 2018, 08:50

2

For max value 1/41 * 20 = 0.48

For least value 1/60 * 20 = 1/3

Hence, K will be less than 1/2 but more than 1/3.

Answer: 1/3 and 1/4 are less than k. (A & B)

For least value 1/60 * 20 = 1/3

Hence, K will be less than 1/2 but more than 1/3.

Answer: 1/3 and 1/4 are less than k. (A & B)

Re: If k is the sum of the reciprocals of the consecutive intege
[#permalink]
08 Aug 2018, 22:21

Carcass wrote:

If k is the sum of the reciprocals of the consecutive integers from 41 to 60 inclusive, which of the following are less than k?

Indicate all such statements.

❑ \(\frac{1}{4}\)

❑ \(\frac{1}{3}\)

❑ \(\frac{1}{2}\)

Show: :: OA

A,B

Please provide OE.

Re: If k is the sum of the reciprocals of the consecutive intege
[#permalink]
06 Sep 2020, 20:58

1

Carcass wrote:

If k is the sum of the reciprocals of the consecutive integers from 41 to 60 inclusive, which of the following are less than k?

Indicate all such statements.

❑ \(\frac{1}{4}\)

❑ \(\frac{1}{3}\)

❑ \(\frac{1}{2}\)

Show: :: OA

A,B

Approximation works to solve this question.

We know that:

\(\frac{1}{40} > \frac{1}{41}, \frac{1}{42}, .... ,\frac{1}{49}\)

And:

\(\frac{1}{50} > \frac{1}{51}, \frac{1}{52}, .... ,\frac{1}{59}\)

So we can approximate \(k\):

\(k = \frac{1}{41} + \frac{1}{42} + ... + \frac{1}{51} + \frac{1}{52} + .... + \frac{1}{60}\)

\( k < \frac{1}{40} + \frac{1}{40} + .... + \frac{1}{50} + \frac{1}{50} + .... + \frac{1}{60}\)

There are 9 numbers between 41 and 49, and ten between 50 and 59, with the lone 60 at the end, so:

\( k < 9 * \frac{1}{40} + 10 * \frac{1}{50} + \frac{1}{60}\)

This simplifies to:

\( k < \frac{9}{40} + \frac{10}{50} + \frac{1}{60}\)

\( k < \frac{9}{40} + \frac{1}{5} + \frac{1}{60}\)

\(\frac{9}{40}\) is slightly less than \(\frac{10}{40}\) or \(\frac{1}{4}\), and \(\frac{1}{60}\) is less than \(\frac{1}{50}\), so essentially what we have is:

\( k < \frac{1}{4} + \frac{1}{5} + \frac{1}{50}\)

\( k < 0.25 + 0.2 + 0.02 \)

\( k < 0.47 \)

Giving us the answers A and B

gmatclubot

Moderators:

Multiple-choice Questions — Select One or More Answer Choices |
||

## Hi Guest,Here are updates for you:## ANNOUNCEMENTS## GRE Prep Club REWARDS |