It is currently 19 Nov 2017, 23:06

### 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

# If k is a positive integer, is k the square of an integer?

Author Message
Intern
Joined: 16 Jun 2005
Posts: 33

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

Location: Chicago, IL
If k is a positive integer, is k the square of an integer? [#permalink]

### Show Tags

22 Apr 2006, 12:25
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If k is a positive integer, is k the square of an integer?

(1) k is divisible by 4.

(2) k is divisible by exactly 4 different prime numbers.

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

Manager
Joined: 20 Nov 2004
Posts: 108

Kudos [?]: 3 [0], given: 0

### Show Tags

22 Apr 2006, 12:46

Consider e. g. 2*2*3*5*7 = 420.

It's divisible by 4, and it's divisible by exactly
4 different prime numbers (2,3,5,7).

The square root is 2*sqrt(105), which ISN'T an integer.

==

Consider e. g. 4*(2*3*5*7)^2 = 176400.

It's divisible by 4, and it's divisible by exactly
4 different prime numbers (2,3,5,7).

The square root is 420, which IS an integer.

So E.

Kudos [?]: 3 [0], given: 0

Intern
Joined: 20 Feb 2006
Posts: 44

Kudos [?]: 2 [0], given: 0

### Show Tags

23 Apr 2006, 08:29
Nothing more to add.. E should be

Kudos [?]: 2 [0], given: 0

Senior Manager
Joined: 08 Jun 2004
Posts: 494

Kudos [?]: 95 [0], given: 0

Location: Europe

### Show Tags

24 Apr 2006, 06:04
Agree with ccax, but do you a quick solution for this one

Consider e. g. 4*(2*3*5*7)^2 = 176400.

It's divisible by 4, and it's divisible by exactly
4 different prime numbers (2,3,5,7).

The square root is 420, which IS an integer.
?

As on the real test you will spend a lot of time trying to pick up different digits.

Kudos [?]: 95 [0], given: 0

24 Apr 2006, 06:04
Display posts from previous: Sort by