It is currently 15 Dec 2017, 08:16

Decision(s) Day!:

CHAT Rooms | Olin (St. Louis) R1 | Tuck R1 | Ross R1 | Fuqua R1


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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If a is a positive integer less than 3 and b is a positive integer les

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

Hide Tags

1 KUDOS received
Manager
Manager
avatar
S
Joined: 02 Jun 2015
Posts: 190

Kudos [?]: 319 [1], given: 403

Location: Ghana
Premium Member
If a is a positive integer less than 3 and b is a positive integer les [#permalink]

Show Tags

New post 23 Sep 2016, 04:19
1
This post received
KUDOS
5
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

41% (01:59) correct 59% (02:14) wrong based on 107 sessions

HideShow timer Statistics

If a is a positive integer less than 3 and b is a positive integer less than 11, what is the value of the decimal expression of a/b when rounded to the nearest tenths?

(1) When the decimal expression of a/b is rounded to the nearest hundredths the value of the hundredths digit is 1.
(2) When the decimal expression of a/b is rounded to the nearest ten-thousandths the value of the ten-thousandths digit is 9.
[Reveal] Spoiler: OA

_________________

Kindly press kudos if you find my post helpful

Kudos [?]: 319 [1], given: 403

Board of Directors
User avatar
D
Status: Aiming MBA
Joined: 18 Jul 2015
Posts: 2865

Kudos [?]: 972 [0], given: 71

Location: India
Concentration: Healthcare, Technology
GPA: 3.65
WE: Information Technology (Health Care)
Premium Member Reviews Badge
If a is a positive integer less than 3 and b is a positive integer les [#permalink]

Show Tags

New post 23 Sep 2016, 04:55
duahsolo wrote:
If a is a positive integer less than 3 and b is a positive integer less than 11, what is the value of the decimal expression of a/b when rounded to the nearest tenths?

(1) When the decimal expression of a/b is rounded to the nearest hundredths the value of the hundredths digit is 1.
(2) When the decimal expression of a/b is rounded to the nearest ten-thousandths the value of the ten-thousandths digit is 9.


Answer D.

We are given a = 1 or 2

b could be 1,2,3,.. 10

Now, Statement 1 : Only fraction that could give the value of hundredths digit 1 is 1/9. So, Sufficient.

Statement 2 : Only fraction that could give the value of ten-thousandths digit 9 is 1/7. So, Sufficient.
_________________

How I improved from V21 to V40! ?

Kudos [?]: 972 [0], given: 71

1 KUDOS received
SC Moderator
User avatar
P
Joined: 13 Apr 2015
Posts: 1508

Kudos [?]: 1230 [1], given: 896

Location: India
Concentration: Strategy, General Management
WE: Information Technology (Consulting)
GMAT ToolKit User Premium Member CAT Tests
Re: If a is a positive integer less than 3 and b is a positive integer les [#permalink]

Show Tags

New post 23 Sep 2016, 04:59
1
This post received
KUDOS
a < 3; b < 11; a/b rounded to nearest tenths = ?

St1: Rounding to nearest hundredth, a/b = 0._1
Put a = 2 and plug values of b from 3 to 10 --> Rounding to the hundredths digit does not result in 1.
a = 1; b = 10 --> a/b = 0.1 --> Not possible
a = 1; b = 9 --> a/b = 0.11 --> Possible
a = 1; b = 8 --> a/b = 0.13 --> Not possible
As b decreases value of a/b increases and hundredths digit does not equal to 1 --> Only possible value of a/b = 0.11
Value of a/b rounded to nearest tenth = 0.1
Sufficient

St2: Rounding to nearest ten thousandth, a/b = 0._ _ _ 9
We need a recurring values to find this
Possible values = 2/3 = 1/6 = 0.6667 --> Not possible
2/6 = 1/3 = 0.3333 --> Not possible
2/7 = 0.28571 = 0.2857 --> Not possible
2/9 = 0.2222; 1/9 = 0.1111 --> Not possible
1/7 = 0.14285 = 0.1429 --> Possible
a/b rounded to the nearest tenth = 0.1
Sufficient

Answer: D

Kudos [?]: 1230 [1], given: 896

SC Moderator
User avatar
P
Joined: 13 Apr 2015
Posts: 1508

Kudos [?]: 1230 [0], given: 896

Location: India
Concentration: Strategy, General Management
WE: Information Technology (Consulting)
GMAT ToolKit User Premium Member CAT Tests
Re: If a is a positive integer less than 3 and b is a positive integer les [#permalink]

Show Tags

New post 23 Sep 2016, 05:01
abhimahna wrote:
duahsolo wrote:
If a is a positive integer less than 3 and b is a positive integer less than 11, what is the value of the decimal expression of a/b when rounded to the nearest tenths?

(1) When the decimal expression of a/b is rounded to the nearest hundredths the value of the hundredths digit is 1.
(2) When the decimal expression of a/b is rounded to the nearest ten-thousandths the value of the ten-thousandths digit is 9.


Answer D.

We are given a = 1 or 2

b could be 1,2,3,.. 10

Now, Statement 1 : Only fraction that could give the value of hundredths digit 1 is 1/9. So, Sufficient.

Statement 2 : Only fraction that could give the value of ten-thousandths digit 9 is 1/9. So, Sufficient.


Small correction. The above highlighted part must be 1/7.

Kudos [?]: 1230 [0], given: 896

Board of Directors
User avatar
D
Status: Aiming MBA
Joined: 18 Jul 2015
Posts: 2865

Kudos [?]: 972 [0], given: 71

Location: India
Concentration: Healthcare, Technology
GPA: 3.65
WE: Information Technology (Health Care)
Premium Member Reviews Badge
Re: If a is a positive integer less than 3 and b is a positive integer les [#permalink]

Show Tags

New post 23 Sep 2016, 05:15
Vyshak wrote:
abhimahna wrote:
duahsolo wrote:
If a is a positive integer less than 3 and b is a positive integer less than 11, what is the value of the decimal expression of a/b when rounded to the nearest tenths?

(1) When the decimal expression of a/b is rounded to the nearest hundredths the value of the hundredths digit is 1.
(2) When the decimal expression of a/b is rounded to the nearest ten-thousandths the value of the ten-thousandths digit is 9.


Answer D.

We are given a = 1 or 2

b could be 1,2,3,.. 10

Now, Statement 1 : Only fraction that could give the value of hundredths digit 1 is 1/9. So, Sufficient.

Statement 2 : Only fraction that could give the value of ten-thousandths digit 9 is 1/9. So, Sufficient.


Small correction. The above highlighted part must be 1/7.


Yeah, it was a typo. Its 1/7 .

Edited the original solution. Thanks
_________________

How I improved from V21 to V40! ?

Kudos [?]: 972 [0], given: 71

Senior Manager
Senior Manager
avatar
B
Joined: 05 Jan 2017
Posts: 435

Kudos [?]: 64 [0], given: 15

Location: India
Premium Member
Re: If a is a positive integer less than 3 and b is a positive integer les [#permalink]

Show Tags

New post 23 Feb 2017, 05:04
Prompt analysis
a<3 and b<11

Superset
The answer will be a positive single digit.

Translation

In order to find the digit, we need:
1# exact value of a and b.
2# the properties of a/b.
3# two equation to find a and b.

Statement Analysis
St1: Rounding to nearest hundredth, a/b = 0._1
Put a = 2 and plug values of b from 3 to 10 --> Rounding to the hundredths digit does not result in 1.
a = 1; b = 10 --> a/b = 0.1 --> Not possible
a = 1; b = 9 --> a/b = 0.11 --> Possible
a = 1; b = 8 --> a/b = 0.13 --> Not possible
As b decreases value of a/b increases and hundredths digit does not equal to 1 --> Only possible value of a/b = 0.11
Value of a/b rounded to nearest tenth = 0.1
Sufficient

St2: Rounding to nearest ten thousandth, a/b = 0._ _ _ 9
We need a recurring values to find this
Possible values = 2/3 = 1/6 = 0.6667 --> Not possible
2/6 = 1/3 = 0.3333 --> Not possible
2/7 = 0.28571 = 0.2857 --> Not possible
2/9 = 0.2222; 1/9 = 0.1111 --> Not possible
1/7 = 0.14285 = 0.1429 --> Possible
a/b rounded to the nearest tenth = 0.1
Sufficient

Kudos [?]: 64 [0], given: 15

Intern
Intern
avatar
B
Joined: 26 Dec 2016
Posts: 3

Kudos [?]: [0], given: 274

Re: If a is a positive integer less than 3 and b is a positive integer les [#permalink]

Show Tags

New post 09 Mar 2017, 05:15
These type question generally take too much time to solve.
Is there a way to solve such questions within 2 minutes?

Kudos [?]: [0], given: 274

1 KUDOS received
Board of Directors
User avatar
D
Status: Aiming MBA
Joined: 18 Jul 2015
Posts: 2865

Kudos [?]: 972 [1], given: 71

Location: India
Concentration: Healthcare, Technology
GPA: 3.65
WE: Information Technology (Health Care)
Premium Member Reviews Badge
Re: If a is a positive integer less than 3 and b is a positive integer les [#permalink]

Show Tags

New post 09 Mar 2017, 05:29
1
This post received
KUDOS
harsh901105 wrote:
These type question generally take too much time to solve.
Is there a way to solve such questions within 2 minutes?


The quickest way to solve such questions is to learn fractions from 1/2 to 1/25. This will help you get the results in few seconds.
_________________

How I improved from V21 to V40! ?

Kudos [?]: 972 [1], given: 71

Director
Director
User avatar
P
Joined: 13 Mar 2017
Posts: 560

Kudos [?]: 140 [0], given: 64

Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: If a is a positive integer less than 3 and b is a positive integer les [#permalink]

Show Tags

New post 24 May 2017, 01:19
harsh901105 wrote:
These type question generally take too much time to solve.
Is there a way to solve such questions within 2 minutes?


The only way to solve this problem faster than others is to know the value of fractions upto 1/20 & do calculation AFAP..

Even though you will take around 1.5 to 2 minutes with full concentration.. if you get stuck somewhere it will take more time..
_________________

MBA Social Network : WebMaggu

Appreciate by Clicking +1 Kudos ( Lets be more generous friends.)

Kudos [?]: 140 [0], given: 64

Intern
Intern
avatar
B
Joined: 18 May 2017
Posts: 1

Kudos [?]: 0 [0], given: 0

Re: If a is a positive integer less than 3 and b is a positive integer les [#permalink]

Show Tags

New post 24 May 2017, 09:26
Quick question: I've read somewhere that statements 1 and 2, while they must be analysed separate from each other, they do need to be consistent, meaning that if answer is D-EACH, then the solution found must be the same.

Is this not true? Cause this problem goes against that...

Thanks!

Kudos [?]: 0 [0], given: 0

Senior Manager
Senior Manager
avatar
B
Joined: 02 Apr 2014
Posts: 266

Kudos [?]: 18 [0], given: 535

If a is a positive integer less than 3 and b is a positive integer les [#permalink]

Show Tags

New post 02 Nov 2017, 20:39
Statement 1 and Statement 2 are contradicting each other.

Statement 1 : a = 1, b = 9
Statement 2 : a = 1, b = 7

Both the statements yield diff (a/b) ratios

Kudos [?]: 18 [0], given: 535

If a is a positive integer less than 3 and b is a positive integer les   [#permalink] 02 Nov 2017, 20:39
Display posts from previous: Sort by

If a is a positive integer less than 3 and b is a positive integer les

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


GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.