GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 15 Aug 2018, 00:02

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, when multiplied by itself, will yield a fracti

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 47903
Which of the following, when multiplied by itself, will yield a fracti  [#permalink]

Show Tags

New post 22 Jul 2018, 22:59
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

85% (00:59) correct 15% (01:33) wrong based on 39 sessions

HideShow timer Statistics

Senior Manager
Senior Manager
User avatar
G
Joined: 31 Oct 2013
Posts: 477
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: Which of the following, when multiplied by itself, will yield a fracti  [#permalink]

Show Tags

New post 22 Jul 2018, 23:07
Bunuel wrote:
Which of the following, when multiplied by itself, will yield a fraction greater than 2/3 ?


A. 5/7
B. 2/3
C. 0.7
D. 0.8
E. 0.027/0.03



we are asked to find out a fraction which will be greater that 2/3 = 66.66

Option E:

0.027 / 0.03

= 27/30..............multiply by 1000

= 9/10

= 0.9

The best answer is E.
SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 1902
Premium Member CAT Tests
Which of the following, when multiplied by itself, will yield a fracti  [#permalink]

Show Tags

New post 23 Jul 2018, 17:34
Bunuel wrote:
Which of the following, when multiplied by itself, will yield a fraction greater than 2/3 ?


A. 5/7
B. 2/3
C. 0.7
D. 0.8
E. 0.027/0.03

I. Perfect square decimals
Answers C and D hint at a quick way to solve. Decimal equivalent of \(\frac{2}{3}\approx0.67\approx 0.7\)

C) \((0.7)^2=0.49\)
D) \((0.8)^2=0.64\)

Perfect square decimals in relation to 0.67 (NOT a perfect square decimal)

\(0.49<0.64<0.67<0.81\)

Eliminate B (~0.7), C, and D. To get closer to 0.81, we need an answer close to 0.9. Answer A or E?

A) \(\frac{5}{7}\approx{0.7}\). Same as C. Eliminate.

Answer E by POE.
Check. Move decimals three places to the right: \(\frac{27}{30}=\frac{9}{10}=0.9\). And \((0.9)^2=0.81\). Perfect. 0.81 > 0.67

Answer E

II. Multiply and estimate

A) \((\frac{5}{7} *\frac{5}{7})=\frac{25}{49}\) - about \(\frac{1}{2}\). NO

B.\((\frac{2}{3} *\frac{2}{3})=\frac{4}{9}\). Less than half. NO

C. 0.7: \((\frac{7}{10}*\frac{7}{10})=\frac{49}{100}\). Less than half. NO

D. 0.8: \((\frac{8}{10}*\frac{8}{10})=\frac{64}{100}\)
\(\frac{2}{3}\approx \frac{67}{100}\)
\(\frac{64}{100}<\frac{67}{100}\) NO

By POE , the answer is E.

E. \((\frac{0.027}{0.037}*\frac{1,000}{1,000})=\frac{27}{30} = \frac{9}{10}\)

\((\frac{9}{10} * \frac{9}{10})=\frac{81}{100} > \frac{67}{100}\). KEEP

Answer E
_________________

In the depths of winter, I finally learned
that within me there lay an invincible summer.

-- Albert Camus, "Return to Tipasa"

Which of the following, when multiplied by itself, will yield a fracti &nbs [#permalink] 23 Jul 2018, 17:34
Display posts from previous: Sort by

Which of the following, when multiplied by itself, will yield a fracti

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

Events & Promotions

PREV
NEXT


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.