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

 It is currently 25 May 2019, 20:29

### 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

# If w, x, y and z are positive, is the value of (wx)/(yz) an integer?

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 55274
If w, x, y and z are positive, is the value of (wx)/(yz) an integer?  [#permalink]

### Show Tags

05 Jul 2017, 00:30
00:00

Difficulty:

35% (medium)

Question Stats:

76% (01:56) correct 24% (01:37) wrong based on 54 sessions

### HideShow timer Statistics

If w, x, y and z are positive, is the value of $$\frac{(wx)}{(yz)}$$ an integer?

(1) $$w = \frac{3}{4}*x = \frac{y}{2} = 3z$$

(2) $$w + x + y + z = 34$$

_________________
Current Student
Joined: 18 Aug 2016
Posts: 618
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
Re: If w, x, y and z are positive, is the value of (wx)/(yz) an integer?  [#permalink]

### Show Tags

05 Jul 2017, 00:52
1
Bunuel wrote:
If w, x, y and z are positive, is the value of $$\frac{(wx)}{(yz)}$$ an integer?

(1) $$w = \frac{3}{4}*x = \frac{y}{2} = 3z$$

(2) $$w + x + y + z = 34$$

(1) gives us

x= 4/3w
y = 2w
z = w/3
On substituting in wx/yz we can get the answer (an integer).
Hence Sufficient

(2) gives us w + x + y + z = 34

Now consider w = 8, x=9 , y = 8 and z = 9 then we can get the integer so we can say Yes

However if we take w = 3/2, x=1/2, y = 16 and z=16 then we will not get an integer and the answer would be No

Hence A
_________________
We must try to achieve the best within us

Thanks
Luckisnoexcuse
Manager
Joined: 23 May 2017
Posts: 239
Concentration: Finance, Accounting
WE: Programming (Energy and Utilities)
Re: If w, x, y and z are positive, is the value of (wx)/(yz) an integer?  [#permalink]

### Show Tags

05 Jul 2017, 01:08
st[1]

w = $$\frac{3x}{4}$$ = $$\frac{y}{2}$$ = 3z

multiply by 4

4w = 3x = 2y = 12z

now $$\frac{wx}{yz}$$ = multiply by 12 in both denominator & numerator

$$\frac{4w * 3x}{y * 12 z}$$

$$\frac{2y * 2y}{y * 2y}$$

= $$\frac{4y^2}{2y^2}$$

= 2 ( an integer)

st[2] - does not tell us the relationship among numbers, can have n number of combinations.
_________________
If you like the post, please award me Kudos!! It motivates me
Re: If w, x, y and z are positive, is the value of (wx)/(yz) an integer?   [#permalink] 05 Jul 2017, 01:08
Display posts from previous: Sort by