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

 It is currently 18 Oct 2019, 21:32

### 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 p and q are positive, p^2 + q^2 = 16, and p^2 - q^2 = 8, then q =

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58453
If p and q are positive, p^2 + q^2 = 16, and p^2 - q^2 = 8, then q =  [#permalink]

### Show Tags

Updated on: 07 Jul 2019, 00:23
00:00

Difficulty:

35% (medium)

Question Stats:

67% (01:20) correct 33% (01:47) wrong based on 30 sessions

### HideShow timer Statistics

If p and q are positive, p^2 + q^2 = 16, and p^2 - q^2 = 8, then q =

(A) 2

(B) 4

(C) 8

(D) $$2 \sqrt{2}$$

(E) $$2 \sqrt{6}$$

Source: Nova GMAT
Difficulty Level: 600

_________________

Originally posted by Bunuel on 09 Apr 2019, 23:01.
Last edited by SajjadAhmad on 07 Jul 2019, 00:23, edited 1 time in total.
Manager
Joined: 17 May 2018
Posts: 140
Location: India
Re: If p and q are positive, p^2 + q^2 = 16, and p^2 - q^2 = 8, then q =  [#permalink]

### Show Tags

09 Apr 2019, 23:18
Subtract eqn2 from eqn2
Get 2q^2=8
Hence q=2
IMO A

Posted from my mobile device
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5020
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: If p and q are positive, p^2 + q^2 = 16, and p^2 - q^2 = 8, then q =  [#permalink]

### Show Tags

10 Apr 2019, 01:57
Bunuel wrote:
If p and q are positive, p^2 + q^2 = 16, and p^2 - q^2 = 8, then q =

(A) 2
(B) 4
(C) 8
(D) $$2 \sqrt{2}$$
(E) $$2 \sqrt{6}$$

subtract p^2 - q^2 = 8 from p^2 + q^2 = 16
we get
q= 2
IMO A
Intern
Joined: 11 Jan 2017
Posts: 7
Location: India
Re: If p and q are positive, p^2 + q^2 = 16, and p^2 - q^2 = 8, then q =  [#permalink]

### Show Tags

10 Apr 2019, 03:36
p^2+q^2=16
p^2=16-q^2

p^2-q^2=8
16-q^2-q^2=8
q=2

IMO A
_________________
Knowledge is Power!
Re: If p and q are positive, p^2 + q^2 = 16, and p^2 - q^2 = 8, then q =   [#permalink] 10 Apr 2019, 03:36
Display posts from previous: Sort by