GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

It is currently 25 Jan 2020, 10:12

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Which of the following pairs of integers have reciprocals whose sum is

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 60647
Which of the following pairs of integers have reciprocals whose sum is  [#permalink]

Show Tags

New post 10 Dec 2019, 01:45
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

65% (01:48) correct 35% (02:02) wrong based on 74 sessions

HideShow timer Statistics

Director
Director
User avatar
V
Status: Manager
Joined: 27 Oct 2018
Posts: 816
Location: Egypt
Concentration: Strategy, International Business
GPA: 3.67
WE: Pharmaceuticals (Health Care)
GMAT ToolKit User
Re: Which of the following pairs of integers have reciprocals whose sum is  [#permalink]

Show Tags

New post 10 Dec 2019, 09:39
for (I), it is clear that the sum is \(>\frac{1}{2}\) because the reciprocal of 1 is 1 --> yes

for (II), \(\frac{2}{10}+\frac{1}{10} = \frac{3}{10} \) \(= 0.3 < 0.3333 = \frac{1}{3}\) --> yes

for (III), \(\frac{1}{7}+\frac{1}{8} = \frac{7+8}{56} = \frac{15}{56}\) --> 15 is less than third 56 so \(<\frac{1}{3}\) --> yes

E
CrackVerbal Quant Expert
User avatar
G
Joined: 12 Apr 2019
Posts: 362
Re: Which of the following pairs of integers have reciprocals whose sum is  [#permalink]

Show Tags

New post 16 Dec 2019, 23:37
For this question we start off by taking the fraction equivalents of decimals and see which statements satisfy the conditions given.
We also keep in mind that one of the conditions needs to be satisfied – either less than 1/3 or more than 1/2. Clearly, it cannot be both, right?

1.3 = 0.3333.. and ½ = 0.50. So, the sum of the reciprocals should be less than 0.33 or more than 0.50.

The integers in statement I are 1 and 14. Reciprocals of these integers are 1 and 1/14 respectively. 1/14 = 0.0714… The sum of these values = 1.0714. This is definitely more than 0.50. Statement I has to be a part of the answer. So, answer options B and C can be eliminated.

The integers in statement II are 5 and 10. Reciprocals of these integers are 1/5 and 1/10 respectively. 1/5 = 0.20 and 1/10 = 0.10, which add up to 0.30. This is less than 0.33. Statement II is also true. Answer option A can be eliminated.

The integers in statement III are 7 and 8. Reciprocals of these integers are 1/7 and 1/8. 1/7 = 0.1428 and 1/8 = 0.125. Adding these two will give us a sum less than 0.33. Statement III is also true, based on which answer option D can be eliminated.
The correct answer option is E.

Questions like these test your calculation skills, so it makes sense to work on honing them so that you are quick in answering these sort of questions.

Hope that helps!
_________________
GMAT Club Bot
Re: Which of the following pairs of integers have reciprocals whose sum is   [#permalink] 16 Dec 2019, 23:37
Display posts from previous: Sort by

Which of the following pairs of integers have reciprocals whose sum is

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne