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

 It is currently 27 Jan 2020, 06:50

### 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

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

# Which of the following represents the greatest value?

Author Message
TAGS:

### Hide Tags

Senior Manager
Joined: 03 Mar 2010
Posts: 330
Schools: Simon '16 (M\$)
Which of the following represents the greatest value?  [#permalink]

### Show Tags

Updated on: 08 Jan 2013, 03:30
3
12
00:00

Difficulty:

65% (hard)

Question Stats:

60% (01:55) correct 40% (02:08) wrong based on 254 sessions

### HideShow timer Statistics

Which of the following represents the greatest value?

A) $$\sqrt{2} / \sqrt{3} + \sqrt{3}/\sqrt{4}+\sqrt{4}/\sqrt{5}+\sqrt{5}/\sqrt{6}$$

B) $$2/3 + 3/4 + 4/5 + 5/6$$

C) $$2^2/3^2 + 3^2/4^2 + 4^2/5^2 + 5^2/6^2$$

D) $$1-1/3 + 4/5 - 3/4$$

E) $$1-3/4 + 4/5 + 1/3$$

_________________
My dad once said to me: Son, nothing succeeds like success.

Originally posted by jamifahad on 05 Jul 2011, 12:15.
Last edited by Bunuel on 08 Jan 2013, 03:30, edited 1 time in total.
RENAMED THE TOPIC.
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 10021
Location: Pune, India

### Show Tags

05 Jul 2011, 23:02
7
3
Solve this under 2 mins.

Which of the following represents the greatest value?

A) $$\sqrt{2} / \sqrt{3} + \sqrt{3}/\sqrt{4}+\sqrt{4}/\sqrt{5}+\sqrt{5}/\sqrt{6}$$

B) $$2/3 + 3/4 + 4/5 + 5/6$$

C) $$2^2/3^2 + 3^2/4^2 + 4^2/5^2 + 5^2/6^2$$

D) $$1-1/3 + 4/5 - 3/4$$

E) $$1-3/4 + 4/5 + 1/3$$

I think for most people the only confusing options will be A and B.

You can compare fractions very easily by making either their denominator or numerator same.

Say I want to compare $$\sqrt{2} / \sqrt{3}$$ with 2/3.
I just multiply and divide $$\sqrt{2} / \sqrt{3}$$ by $$\sqrt{2}$$ to get 2/$$\sqrt{6}$$.
Since $$\sqrt{6}$$ is less than 3, 2/$$\sqrt{6}$$ (i.e. $$\sqrt{2} / \sqrt{3}$$) is greater than 2/3.
Similarly, all terms of option A will be greater than all corresponding terms of option B.

Perfect example of how complicated looking questions are also based on very fundamental concepts.
_________________
Karishma
Veritas Prep GMAT Instructor

##### General Discussion
Retired Moderator
Joined: 20 Dec 2010
Posts: 1532

### Show Tags

05 Jul 2011, 12:37
1
Solve this under 2 mins.

Which of the following represents the greatest value?

A) $$\sqrt{2} / \sqrt{3} + \sqrt{3}/\sqrt{4}+\sqrt{4}/\sqrt{5}+\sqrt{5}/\sqrt{6}$$

B) $$2/3 + 3/4 + 4/5 + 5/6$$

C) $$2^2/3^2 + 3^2/4^2 + 4^2/5^2 + 5^2/6^2$$

D) $$1-1/3 + 4/5 - 3/4$$

E) $$1-3/4 + 4/5 + 1/3$$

I could make direct comparison between A, B and C and locked on A because the difference between numerator & denominator of individual term in A are smaller than that of B and C.

D: 1-0.3+0.8-0.75<1
E: 1-0.75+0.8+0.3= 1.5 approx

A: Every term is definitely more than 0.5 because the denominator was less than twice. Thus
A> 0.5+0.5+0.5+0.5=2

Ans: "A"
Manager
Joined: 11 Apr 2011
Posts: 71

### Show Tags

06 Jul 2011, 10:14
2/3 < 1, so sq rt(2/3) > 1.
D and E are less by some calculations.
Intern
Joined: 06 Jun 2011
Posts: 19

### Show Tags

06 Jul 2011, 15:34
1
15 sec.
A
eliminated D and E as there are negatives
2^2/3^2 < 2/3 < [2][/2]
Intern
Joined: 13 Oct 2012
Posts: 37
Schools: IE '15 (A)
GMAT 1: 760 Q49 V46

### Show Tags

07 Jan 2013, 12:49
out of a/b/c a is surely greatest because diff between numerator and denominator of each term is least in A.
d and e can be calculated to see that d is less than 1 and e is less than 2
A is greater than 2 since each term in A is greater than 0.5.
Intern
Joined: 21 Apr 2015
Posts: 5
Re: Which of the following represents the greatest value?  [#permalink]

### Show Tags

01 Nov 2017, 09:33
1
Which of the following represents the greatest value?

A) $$\sqrt{2} / \sqrt{3} + \sqrt{3}/\sqrt{4}+\sqrt{4}/\sqrt{5}+\sqrt{5}/\sqrt{6}$$

B) $$2/3 + 3/4 + 4/5 + 5/6$$

C) $$2^2/3^2 + 3^2/4^2 + 4^2/5^2 + 5^2/6^2$$

D) $$1-1/3 + 4/5 - 3/4$$

E) $$1-3/4 + 4/5 + 1/3$$

We compared A B C and apply the following rule:

If 0 < k < 1, then 0 < k^2 < k < SQRT k <1

But before that, we need to compare B & D & E.
Non-Human User
Joined: 09 Sep 2013
Posts: 14007
Re: Which of the following represents the greatest value?  [#permalink]

### Show Tags

26 Mar 2019, 04:07
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: Which of the following represents the greatest value?   [#permalink] 26 Mar 2019, 04:07
Display posts from previous: Sort by