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

 It is currently 31 May 2020, 06:30 ### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # Which of the following is the greatest?

Author Message
TAGS:

### Hide Tags

Senior SC Moderator V
Joined: 14 Nov 2016
Posts: 1343
Location: Malaysia
Which of the following is the greatest?  [#permalink]

### Show Tags

8 00:00

Difficulty:   35% (medium)

Question Stats: 67% (01:20) correct 33% (01:34) wrong based on 159 sessions

### HideShow timer Statistics

Which of the following is the greatest?

(A) $$\frac{1}{√2}+\frac{1}{√4}+\frac{1}{√6}+\frac{1}{√8}$$

(B) $$\frac{1}{{2^2}}+\frac{1}{{4^2}}+\frac{1}{{6^2}}+\frac{1}{{8^2}}$$

(C) $$\frac{1}{{2^2}}+\frac{1}{{2^4}}+\frac{1}{{2^6}}+\frac{1}{{2^8}}$$

(D) $$1-\frac{1}{2}+\frac{1}{4}-\frac{1}{6}$$

(E) $$\frac{1}{2}+\frac{1}{4}+\frac{1}{6}+\frac{1}{8}$$

Source : GMATNinja Blog

_________________
"Be challenged at EVERY MOMENT."

“Strength doesn’t come from what you can do. It comes from overcoming the things you once thought you couldn’t.”

"Each stage of the journey is crucial to attaining new heights of knowledge."

Originally posted by hazelnut on 07 May 2017, 05:44.
Last edited by Bunuel on 07 May 2017, 06:49, edited 1 time in total.
Renamed the topic.
Manager  P
Joined: 13 Oct 2016
Posts: 236
GMAT 1: 600 Q44 V28
Which of the following is the greatest?  [#permalink]

### Show Tags

1
We know that greater the value in the denominator compared to numerator , smaller will be the resulting number.

Based on the above statement we can eliminate options (B) and (C) when compared to other options.

For option (B) we get 1/4 + 1/16 + 1/36 + 1/64 will give you a number slightly greater than 1/4 (Between 1/4 and 1/2).

For option (C) we get 1/4+1/16+1/64+1/256 will give you a number slightly smaller than the option (B).

We are left out with three options (A) , (D) & (E).

In option (D) we are adding as well as subtracting the fractions mentioned.

(1-1/2)+(1/4-1/6) =1/2 + 1/12 which is almost equivalent to 0.6(0.5+0.1).

For answer option (E) we get

1/2+1/4+1/6+1/8 = 0.5 + 0.25 + 0.166 + 0.125 which will be greater than 1.

If your not able reduce the fraction 1/6 and 1/8 then from the first two no: itself we know that the no: is greater than 0.75 which is greater than the option (B) , (C) & (D).

Therefore currently option (E) is greatest.

Now we are left out with our final option (A) .

The option is similar to that of option (E) but the denominator is in square root form. We know that when the numerator is divided by the square root of a no: than the original no: it will yield a higher value .

For example : 1/4 = 0.25 is less than 1/[square root(4)] = 0.5 .

Considering the above analogy we can conclude that the greatest value which we can get among the options is (A).

Therefore option (A) is the answer.

Hope the explanation helps Originally posted by Kritesh on 07 May 2017, 08:23.
Last edited by Kritesh on 21 May 2017, 02:37, edited 1 time in total.
Manager  S
Status: Gmat lover
Joined: 27 Mar 2017
Posts: 82
Location: India
Schools: IIMA , IIMA PGPX"18
GMAT 1: 710 Q49 V39
GPA: 3.91
Re: Which of the following is the greatest?  [#permalink]

### Show Tags

1
Smaller the denominator larger the fraction always remember this.

√2=1.41

In all other options except A denominator is greater than 1.41

Hence largest number will be of option A
Please also note that we only have to see the first number as other numbers are smaller than first numbers and thus they don't play much role.
Manager  B
Joined: 22 Jan 2020
Posts: 53
Re: Which of the following is the greatest?  [#permalink]

### Show Tags

the top explanation on this one will get you this problem very easily

https://gmatclub.com/forum/of-the-follo ... 60693.html Re: Which of the following is the greatest?   [#permalink] 20 Feb 2020, 08:34

# Which of the following is the greatest?  