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

 It is currently 15 Nov 2018, 04:40

# Join Chat Room for Live Updates

### 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

## Events & Promotions

###### Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• ### Free GMAT Strategy Webinar

November 17, 2018

November 17, 2018

07:00 AM PST

09:00 AM PST

Nov. 17, 7 AM PST. Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.
• ### GMATbuster's Weekly GMAT Quant Quiz # 9

November 17, 2018

November 17, 2018

09:00 AM PST

11:00 AM PST

Join the Quiz Saturday November 17th, 9 AM PST. The Quiz will last approximately 2 hours. Make sure you are on time or you will be at a disadvantage.

# Any decimal that has only a finite number of nonzero digits is a termi

Author Message
TAGS:

### Hide Tags

Board of Directors
Joined: 01 Sep 2010
Posts: 3310
Any decimal that has only a finite number of nonzero digits is a termi  [#permalink]

### Show Tags

27 Aug 2018, 10:09
Top Contributor
1
00:00

Difficulty:

25% (medium)

Question Stats:

80% (01:13) correct 20% (01:34) wrong based on 46 sessions

### HideShow timer Statistics

Any decimal that has only a finite number of nonzero digits is a terminating decimal. For example, 25, 0.09, and 8.072 are three terminating decimals. If p and q are positive integers and the ratio
$$\frac{p}{q}$$ is expressed as a decimal, is $$\frac{p}{q}$$ a terminating decimal?

(1) q is a prime number less than 10.

(2) q is not equal to 3 or 7.

_________________
Director
Status: Learning stage
Joined: 01 Oct 2017
Posts: 930
WE: Supply Chain Management (Energy and Utilities)
Re: Any decimal that has only a finite number of nonzero digits is a termi  [#permalink]

### Show Tags

27 Aug 2018, 13:13
1
carcass wrote:
Any decimal that has only a finite number of nonzero digits is a terminating decimal. For example, 25, 0.09, and 8.072 are three terminating decimals. If p and q are positive integers and the ratio
$$\frac{p}{q}$$ is expressed as a decimal, is $$\frac{p}{q}$$ a terminating decimal?

(1) q is a prime number less than 10.

(2) q is not equal to 3 or 7.

Question stem:- Is $$\frac{p}{q}$$ a terminating decimal?

St1:- q is a prime number less than 10.

Possible value of q: 2, 3 , 5, 7
Terminating decimal: $$\frac{p}{2}$$, $$\frac{p}{5}$$
Non-terminating decimal:$$\frac{p}{3}$$, $$\frac{p}{7}$$
Question stem is inconsistent.
Insufficient.

St2:- q is not equal to 3 or 7
a) When $$q=2^x*5^y$$ (where x and y are non-negative integers), then the ratio $$\frac{p}{q}$$ is a terminating decimal.
e.g., q=2,5,4,8,10 etc
b) When q=9, 11, 13 etc. , then the ratio $$\frac{p}{q}$$ is NOT a terminating decimal.

Insufficient.

Combined, q<10, q is prime(Primes are +ve), and $$q\neq{3}$$ or $$q\neq{7}$$
Possible values of q: $$2(=2^1*5^0)$$ and $$5(=2^0*5^1)$$

Since the denominator q is in the form $$2^x*5^y$$, hence the ratio $$\frac{p}{q}$$ is a terminating decimal..
Sufficient.

Ans. (C)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Math Expert
Joined: 02 Sep 2009
Posts: 50608
Re: Any decimal that has only a finite number of nonzero digits is a termi  [#permalink]

### Show Tags

28 Aug 2018, 03:32
carcass wrote:
Any decimal that has only a finite number of nonzero digits is a terminating decimal. For example, 25, 0.09, and 8.072 are three terminating decimals. If p and q are positive integers and the ratio
$$\frac{p}{q}$$ is expressed as a decimal, is $$\frac{p}{q}$$ a terminating decimal?

(1) q is a prime number less than 10.

(2) q is not equal to 3 or 7.

Similar questions to practice:
https://gmatclub.com/forum/any-decimal- ... 44328.html
https://gmatclub.com/forum/any-decimal- ... 43896.html
https://gmatclub.com/forum/any-decimal- ... 01964.html
https://gmatclub.com/forum/any-decimal- ... 99507.html
https://gmatclub.com/forum/any-decimal- ... 90504.html
_________________
Re: Any decimal that has only a finite number of nonzero digits is a termi &nbs [#permalink] 28 Aug 2018, 03:32
Display posts from previous: Sort by