Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 25 Aug 2016, 03:29

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 June
Open Detailed Calendar

How many divisors does positive integer have? 1.The

Author Message
TAGS:

Hide Tags

Intern
Joined: 13 Nov 2010
Posts: 23
Followers: 1

Kudos [?]: 9 [0], given: 0

How many divisors does positive integer have? 1.The [#permalink]

Show Tags

25 Nov 2010, 19:39
00:00

Difficulty:

(N/A)

Question Stats:

70% (01:27) correct 30% (00:53) wrong based on 10 sessions

HideShow timer Statistics

How many divisors does positive integer have?

1.The difference between the largest and the smallest divisor of is 21
2. has 2 divisors

Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are NOT sufficient
S1 is sufficient. The difference between the largest and the smallest divisor of . Thus, .

S2 is not sufficient. Consider and .

The correct answer is A. Does not make sense to me at all. In order for A to be true, it looks like we have to assume all the factors are 22 consecutive integers.
[Reveal] Spoiler: OA
Manager
Status: Still Struggling
Joined: 03 Nov 2010
Posts: 138
Location: India
GMAT Date: 10-15-2011
GPA: 3.71
WE: Information Technology (Computer Software)
Followers: 5

Kudos [?]: 66 [0], given: 8

Show Tags

25 Nov 2010, 21:01
yufenshi wrote:
How many divisors does positive integer have?

1.The difference between the largest and the smallest divisor of is 21
2. has 2 divisors

Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
EACH statement ALONE is sufficient
Statements (1) and (2) TOGETHER are NOT sufficient
S1 is sufficient. The difference between the largest and the smallest divisor of . Thus, .

S2 is not sufficient. Consider and .

The correct answer is A. Does not make sense to me at all. In order for A to be true, it looks like we have to assume all the factors are 22 consecutive integers.

ANS: A
I am not sure if my approach is correct, but lets c...
(A) - the smallest divisor of a number is 1 and the largest divisor of the number is the number itself. Now, as per statement A, the number seems to be 22. Hence, we can find outhow many divisors 22 has. Sufficient
(B) - As you pointed out, its not sufficient.

hence, ANS:(A)

--------------------------------------------------------------------------------------
Consider KUDOS if you like my post!
_________________

Knewton Free Test 10/03 - 710 (49/37)
Princeton Free Test 10/08 - 610 (44/31)
Kaplan Test 1- 10/10 - 630
Veritas Prep- 10/11 - 630 (42/37)
MGMAT 1 - 10/12 - 680 (45/34)

Intern
Joined: 13 Nov 2010
Posts: 2
Followers: 0

Kudos [?]: 0 [0], given: 12

Show Tags

27 Nov 2010, 08:16
I don't get this one..

How many divisors does the integer has ??

A)....
B) has 2 divisors..

I thought B is the answer..

Can someone explain it even more clearly or am I missing something?
Math Expert
Joined: 02 Sep 2009
Posts: 34432
Followers: 6254

Kudos [?]: 79439 [1] , given: 10016

Show Tags

27 Nov 2010, 08:39
1
KUDOS
Expert's post
vvs8787 wrote:
I don't get this one..

How many divisors does the integer has ??

A)....
B) has 2 divisors..

I thought B is the answer..

Can someone explain it even more clearly or am I missing something?

That's because yufenshi didn't post the whole question. Original question is:

How many positive divisors does positive integer N has got

(1) The difference between the largest and the smallest divisor of N is 21 --> the largest divisor of an integer is this integer itself and the smallest divisor is 1, so N-1=21 --> N=22 --> 22 has 4 factors. Sufficient.

(2) N+1 has 2 divisors --> just say that N+1 is a prime number, so N can be for example 2 (2+1=3) and have 2 factors or 6 (6+1=7) and have 4 factors. Not sufficient.

Hope it's clear.
_________________
Manager
Joined: 07 Feb 2010
Posts: 159
Followers: 2

Kudos [?]: 443 [0], given: 101

Show Tags

29 Nov 2010, 07:15
Bunuel wrote:
vvs8787 wrote:
I don't get this one..

How many divisors does the integer has ??

A)....
B) has 2 divisors..

I thought B is the answer..

Can someone explain it even more clearly or am I missing something?

That's because yufenshi didn't post the whole question. Original question is:

How many positive divisors does positive integer N has got

(1) The difference between the largest and the smallest divisor of N is 21 --> the largest divisor of an integer is this integer itself and the smallest divisor is 1, so N-1=21 --> N=22 --> 22 has 4 factors. Sufficient.

(2) N+1 has 2 divisors --> just say that N+1 is a prime number, so N can be for example 2 (2+1=3) and have 2 factors or 6 (6+1=7) and have 4 factors. Not sufficient.

Hope it's clear.

from the statement 2 it is N has 2 divisors but you took N+1 has 2 divisors
pls explain this

Math Expert
Joined: 02 Sep 2009
Posts: 34432
Followers: 6254

Kudos [?]: 79439 [0], given: 10016

Show Tags

29 Nov 2010, 07:23
anilnandyala wrote:
Bunuel wrote:
vvs8787 wrote:
I don't get this one..

How many divisors does the integer has ??

A)....
B) has 2 divisors..

I thought B is the answer..

Can someone explain it even more clearly or am I missing something?

That's because yufenshi didn't post the whole question. Original question is:

How many positive divisors does positive integer N has got

(1) The difference between the largest and the smallest divisor of N is 21 --> the largest divisor of an integer is this integer itself and the smallest divisor is 1, so N-1=21 --> N=22 --> 22 has 4 factors. Sufficient.

(2) N+1 has 2 divisors --> just say that N+1 is a prime number, so N can be for example 2 (2+1=3) and have 2 factors or 6 (6+1=7) and have 4 factors. Not sufficient.

Hope it's clear.

from the statement 2 it is N has 2 divisors but you took N+1 has 2 divisors
pls explain this

I'm not sure understood your question.

Question is: what is the number of factors of N?

N+1 has 2 divisors means that N+1=prime;

Now, if N=2 then it has 2 factors (N+1=3=prime has two factors);
But if N=6 then it has 4 factors (N+1=7=prime has two factors).
_________________
Similar topics Replies Last post
Similar
Topics:
5 How many positive factors does the positive integer x have? 8 26 Dec 2015, 03:12
19 How many different prime factors does positive integer n have? 16 14 May 2015, 05:25
18 How many prime factors does positive integer n have? 8 06 Apr 2015, 07:08
7 How many distinct factors does positive integer k have? 8 25 Nov 2014, 08:33
1 How many distinct prime divisors does a positive integer [m] 2 31 May 2014, 10:33
Display posts from previous: Sort by