Last visit was: 08 Sep 2024, 03:37 It is currently 08 Sep 2024, 03:37
Decision Tracker
My Rewards
Unanswered
Active Topics
New posts
New comers' posts
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

Does positive integer d have two or more factors, both of which are

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 95353
Own Kudos [?]: 656646 [1]
Given Kudos: 87193
Send PM
CAT Tests Forum Quiz Mode
Does positive integer d have two or more factors, both of which are [#permalink] Does positive integer d have two or more factors, both of which are   26 Dec 2016, 11:01
1
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

35% (medium)

Question Stats:

68% (01:29) correct 32% (01:20) wrong based on 95 sessions
Hide Show DIFFICULTY AND TIMER STATISTICS
Does positive integer d have two or more factors, both of which are greater than 1?

(1) d is even.
(2) 0 < d^2 < 16.
ShowHide Answer
Official Answer
B
User avatar
B
vitaliyGMAT
Senior Manager
Senior Manager
Joined: 13 Oct 2016
Posts: 299
Own Kudos [?]: 790 [0]
Given Kudos: 40
GPA: 3.98
Send PM
Re: Does positive integer d have two or more factors, both of which are [#permalink] Does positive integer d have two or more factors, both of which are   26 Dec 2016, 12:59
Bunuel wrote:
Does positive integer d have two or more factors, both of which are greater than 1?

(1) d is even.
(2) 0 < d^2 < 16.


“two or more factors, both of which are greater than 1” I understood this as “at least two factors which are greater than 1”

Integer will have at least two factors, which are greater than 1 only in case when it’s composite. Prime number has only two factors – one and itself and does not satisfy this condition.

(1) d is even.

d = 2, 4, 6, … We have one prime, the rest composite. Insufficient.

(2) 0 < d^2 < 16

0 < d < 4 -----> d = 1, 2, 3

We have 1 and two primes 2 and 3. Sufficient.

Answer B
User avatar
Omkar.kamat
Intern
Intern
Joined: 04 Mar 2016
Posts: 22
Own Kudos [?]: 15 [0]
Given Kudos: 2
Location: India
Send PM
Re: Does positive integer d have two or more factors, both of which are [#permalink] Does positive integer d have two or more factors, both of which are   26 Dec 2016, 18:14
Right Said.. for D to have more than 1 Factors it has to be composite

1) D is even, 6 onwards all the composites will have 2 factors or more. Not sufficient..

2)0<d^2<16... D=1,2,3 . 1 will have 1 root and 2,3 will have 2 Roots. So not sufficient.

1+2 even and in the given range is only 2. So answer is Yes. Sufficient

Omkar Kamat
When The Going Gets Tough, The Tough Gets Going !!
User avatar
G
RMD007
Manager
Manager
Joined: 03 Jul 2016
Status:Countdown Begins...
Posts: 240
Own Kudos [?]: 156 [0]
Given Kudos: 80
Location: India
Concentration: Technology, Strategy
Schools: IIMB
GMAT 1: 580 Q48 V22
GPA: 3.7
WE:Information Technology (Consulting)
Send PM
GMAT ToolKit User Reviews Badge
Re: Does positive integer d have two or more factors, both of which are [#permalink] Does positive integer d have two or more factors, both of which are   28 Dec 2016, 18:55
B.
From Question - D is an integer and d>0.
Statement 1: just says d is even. For d=2 question stem does not satisfy but for d=4,6 it satisfies. Insufficient.
Statement 2: d= 2 or 3 so the factors could be (1,2) and (1,3). Both are not greater than 1. Sufficient.
User avatar
S
nks2611
Manager
Manager
Joined: 24 Oct 2016
Posts: 195
Own Kudos [?]: 66 [0]
Given Kudos: 89
Location: India
Concentration: Finance, International Business
Schools: IIMB
GMAT 1: 550 Q42 V28
GPA: 3.96
WE:Human Resources (Retail Banking)
Send PM
Re: Does positive integer d have two or more factors, both of which are [#permalink] Does positive integer d have two or more factors, both of which are   30 Dec 2016, 02:55
answer is B
statement 1. d= even so even no. can have two or more factors and may have each of two could be grater than a or may be not . so insuff.
statement 2. only 1,2,3 are in range and each have 2 factors, both of which not grater 2 so suff.
GMAT Club Bot
gmatclubot
Re: Does positive integer d have two or more factors, both of which are [#permalink]
30 Dec 2016, 02:55
Moderator:
Bunuel
Math Expert
95353 posts