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

It is currently 15 Dec 2018, 05:54

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 in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • Free GMAT Strategy Webinar

     December 15, 2018

     December 15, 2018

     07:00 AM PST

     09:00 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.
  • $450 Tuition Credit & Official CAT Packs FREE

     December 15, 2018

     December 15, 2018

     10:00 PM PST

     11:00 PM PST

    Get the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299)

The product P of two prime numbers is between 9 and 55. If one of the

  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: 51218
The product P of two prime numbers is between 9 and 55. If one of the  [#permalink]

Show Tags

New post 26 Nov 2016, 02:11
5
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

99% (01:14) correct 1% (01:32) wrong based on 138 sessions

HideShow timer Statistics

The product P of two prime numbers is between 9 and 55. If one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25, then P =

A. 15
B. 33
C. 34
D. 46
E. 51

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Senior Manager
Senior Manager
avatar
G
Joined: 21 Aug 2016
Posts: 264
Location: India
GPA: 3.9
WE: Information Technology (Computer Software)
GMAT ToolKit User Reviews Badge CAT Tests
Re: The product P of two prime numbers is between 9 and 55. If one of the  [#permalink]

Show Tags

New post 26 Nov 2016, 03:42
Suppose there are two prime numbers a and b then 9 <ab<55.
1. 2< a<6 --> a can be 3 or 5

2. 13< b<25 --> b can be 17,19,23

Check for a=3, b=17: 17*3=51, 9<51<55
E is the answer
Senior Manager
Senior Manager
avatar
G
Joined: 21 Aug 2016
Posts: 264
Location: India
GPA: 3.9
WE: Information Technology (Computer Software)
GMAT ToolKit User Reviews Badge CAT Tests
The product P of two prime numbers is between 9 and 55. If one of the  [#permalink]

Show Tags

New post 26 Nov 2016, 03:53
If it would be a DS ques as given below, we had to check for other possible values as well.

Question :The product P of two prime numbers is between 9 and 55. What is the value of P.

1. If the first prime number is greater than 2 but less than 6.
2. If the second prime number is greater than 13 but less than 25.

Solution :

Suppose there are two prime numbers a and b then 9<ab<55.
1. 2< a<6 --> a can be 3 or 5

2. 13< b<25 --> b can be 17,19,23

It can be checked easily that either of the statements is not sufficient alone.
Taking them together

a) Check for a=3, b=17: 17*3=51, 9<51<55

b) Check for a=3, b=19: 19*3=57, 57>55, so we don't have to check for a=3, b=23 because of the condition does not hold true for b=19, it will certainly be not true for b=23 when a remains same

c) check for a=5, b=17; 17*5=85, 85>55, so we don't have to check for a=5, b=19 or a=5, b=23

In this case, C will be correct answer
Manager
Manager
User avatar
B
Joined: 29 Feb 2016
Posts: 111
Location: India
GMAT 1: 700 Q49 V35
GPA: 3
GMAT ToolKit User
Re: The product P of two prime numbers is between 9 and 55. If one of the  [#permalink]

Show Tags

New post 26 Nov 2016, 07:55
E

x = 3,5
y=17,19,23

only 17 * 3 = 51 will be with in the limit 9<p<55
_________________

Find what you love and let it kill you. — Charles Bukowski

Board of Directors
User avatar
P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4277
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member CAT Tests
Re: The product P of two prime numbers is between 9 and 55. If one of the  [#permalink]

Show Tags

New post 26 Nov 2016, 10:07
1
Bunuel wrote:
The product P of two prime numbers is between 9 and 55. If one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25, then P =

A. 15
B. 33
C. 34
D. 46
E. 51


Prime numbers greater than 2 but less than 6 = { 3 , 5 }
Prime numbers greater than 13 but less than 25 = { 17 , 19 , 23 }

Product P of two prime numbers between 9 and 55 is 51 ( ie, 3*17 )

Hence, aswer will be (E)

_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Target Test Prep Representative
User avatar
P
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4295
Location: United States (CA)
Re: The product P of two prime numbers is between 9 and 55. If one of the  [#permalink]

Show Tags

New post 27 Feb 2018, 09:34
Bunuel wrote:
The product P of two prime numbers is between 9 and 55. If one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25, then P =

A. 15
B. 33
C. 34
D. 46
E. 51


The primes greater than 2 but less than 6 are 3 and 5.

The primes greater than 13 but less than 25 are 17, 19, and 23.

Thus, we see that P could only be 3 x 17 = 51. Increasing either factor in this product would result in a number that is greater than 55.

Answer: E
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

GMAT Club Bot
Re: The product P of two prime numbers is between 9 and 55. If one of the &nbs [#permalink] 27 Feb 2018, 09:34
Display posts from previous: Sort by

The product P of two prime numbers is between 9 and 55. If one of the

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


Copyright

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®.