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

 It is currently 20 Mar 2019, 23:12

### 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

# If n > 4, which of the following is equivalent to (n - 4n^(1/2) + 4)/

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 53742
If n > 4, which of the following is equivalent to (n - 4n^(1/2) + 4)/  [#permalink]

### Show Tags

14 Jan 2019, 02:18
00:00

Difficulty:

15% (low)

Question Stats:

93% (01:44) correct 7% (01:59) wrong based on 36 sessions

### HideShow timer Statistics

If n > 4, which of the following is equivalent to $$\frac{n-4\sqrt{n}+4}{\sqrt{n}-2}$$ ?

A. $$\sqrt{n}$$

B. $$2\sqrt{n}$$

C. $$\sqrt{n}+2$$

D. $$\sqrt{n}-2$$

E. $$n+\sqrt{n}$$

_________________
SVP
Joined: 18 Aug 2017
Posts: 2400
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: If n > 4, which of the following is equivalent to (n - 4n^(1/2) + 4)/  [#permalink]

### Show Tags

14 Jan 2019, 03:18
Bunuel wrote:
If n > 4, which of the following is equivalent to $$\frac{n-4\sqrt{n}+4}{\sqrt{n}-2}$$ ?

A. $$\sqrt{n}$$

B. $$2\sqrt{n}$$

C. $$\sqrt{n}+2$$

D. $$\sqrt{n}-2$$

E. $$n+\sqrt{n}$$

substitute value of n = 9

we would get 1

IMO D
_________________

If you liked my solution then please give Kudos. Kudos encourage active discussions.

VP
Joined: 31 Oct 2013
Posts: 1270
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
If n > 4, which of the following is equivalent to (n - 4n^(1/2) + 4)/  [#permalink]

### Show Tags

14 Jan 2019, 03:51
2
Bunuel wrote:
If n > 4, which of the following is equivalent to $$\frac{n-4\sqrt{n}+4}{\sqrt{n}-2}$$ ?

A. $$\sqrt{n}$$

B. $$2\sqrt{n}$$

C. $$\sqrt{n}+2$$

D. $$\sqrt{n}-2$$

E. $$n+\sqrt{n}$$

$$\frac{n-4\sqrt{n}+4}{\sqrt{n}-2}$$

=$$\frac{(\sqrt{n})^2-2.2\sqrt{n}+2^2}{\sqrt{n}-2}$$

=$$(\sqrt{n} - 2)^2 / \sqrt{n} - 2$$

=$$\sqrt{n} - 2$$

If n > 4, which of the following is equivalent to (n - 4n^(1/2) + 4)/   [#permalink] 14 Jan 2019, 03:51
Display posts from previous: Sort by