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

 It is currently 21 May 2013, 06:06

# If n is an integer, then n is divisible by how many positive

Author Message
TAGS:
Manager
Joined: 12 Mar 2003
Posts: 63
Followers: 1

Kudos [?]: 1 [0], given: 0

If n is an integer, then n is divisible by how many positive [#permalink]  23 Apr 2003, 17:50
00:00

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
If n is an integer, then n is divisible by how many positive integers ?

1) n is the product of two different prime numbers
2) n and 2^3 are divisible by the same number of positive integers

Last edited by tzolkin on 24 Apr 2003, 14:27, edited 1 time in total.
Intern
Joined: 09 Apr 2003
Posts: 7
Followers: 1

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

D

Statement one tells that n is divisible by 4 positive integers.
Statement two - 2^3 is divisible by 4 positive integers. 1, 2, 4 and 8
Intern
Joined: 04 May 2003
Posts: 4
Followers: 0

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

Because from (1) we could have 1*2 =2 or 2*3 =6.
So there is not consistent answer from (1)
only choice (2) will give answer 4.
Is my explanation not correct?
SVP
Joined: 03 Feb 2003
Posts: 1683
Followers: 4

Kudos [?]: 16 [1] , given: 0

1
KUDOS
sarathk wrote:

Because from (1) we could have 1*2 =2 or 2*3 =6.
So there is not consistent answer from (1)
only choice (2) will give answer 4.
Is my explanation not correct?

1 is NOT a prime number. The least prime is 2. Remeber that.

(1) the product of two different primes has 4 distinct positive divisors. OK.
(2) 2^3 has 4 positive divisors, as does n. OK.

Thus, it is D.
Intern
Joined: 07 May 2003
Posts: 22
Followers: 0

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

can someone clarify my doubt
n is an integer(given) but its not mentioned if its a positive or a negative integer.

if n is taken as positive u get 4 positive divisors.
but if n is taken as a negative integer then u dont know exactly the positive divisors. if this is true (1) cant answer the problem given.
Manager
Joined: 12 Mar 2003
Posts: 63
Followers: 1

Kudos [?]: 1 [0], given: 0

Think of this as :

1) if n is the product of 2 prime numbers : eg 2*3=5 or 3*5=15

The product is +ve

2) n and 2^3 are divisible by the same number of positive integers

2^3 = 8, thus divisible by 1, 2, 4, 8 (4 +ve integers)

=> n is divisible by 4 positive integers

say n=6 : 1, 2, 3, 6

or n=-6 : 1, 2, 3, 6 (note - still divisible by positive integers)
SVP
Joined: 03 Feb 2003
Posts: 1683
Followers: 4

Kudos [?]: 16 [0], given: 0

arun wrote:
can someone clarify my doubt
n is an integer(given) but its not mentioned if its a positive or a negative integer.

if n is taken as positive u get 4 positive divisors.
but if n is taken as a negative integer then u dont know exactly the positive divisors. if this is true (1) cant answer the problem given.

The product of two primes CANNOT be negative, since the least prime is 2. There are no negative primes. In this connection, n HAS to be positive.
Similar topics Replies Last post
Similar
Topics:
If n is an integer, then n is divisible by how many positive 1 11 Aug 2007, 22:03
If n is an integer, n is divisible by how many positive 1 11 Jun 2008, 23:47
If N is a positive integer, not including N, how many 1 27 Oct 2008, 02:19
1 If n is an integer, then n divisible by how many positive 5 19 Feb 2011, 10:29
If n is an integer, then n is divisible by how many positive 6 02 Jul 2011, 01:10
Display posts from previous: Sort by