GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 19 Jan 2020, 04:42 ### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # In the above sequence, x and y are integers, and the numbers are arran

Author Message
TAGS:

### Hide Tags

Math Expert V
Joined: 02 Sep 2009
Posts: 60484
In the above sequence, x and y are integers, and the numbers are arran  [#permalink]

### Show Tags 00:00

Difficulty:   45% (medium)

Question Stats: 68% (01:48) correct 33% (01:15) wrong based on 40 sessions

### HideShow timer Statistics

10, x, 30, y, 50

In the above sequence, x and y are integers, and the numbers are arranged in increasing order. What is the value of y - x ?

(1) The median of the sequence is equal to the mean.

(2) $$\frac{y+x}{2}=30$$

Are You Up For the Challenge: 700 Level Questions

_________________
GMAT Club Legend  V
Joined: 18 Aug 2017
Posts: 5693
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: In the above sequence, x and y are integers, and the numbers are arran  [#permalink]

### Show Tags

Clearly E ;
as both 1 &2 give same info

Bunuel wrote:
10, x, 30, y, 50

In the above sequence, x and y are integers, and the numbers are arranged in increasing order. What is the value of y - x ?

(1) The median of the sequence is equal to the mean.

(2) $$\frac{y+x}{2}=30$$

Are You Up For the Challenge: 700 Level Questions
Intern  Joined: 16 Nov 2019
Posts: 1
Re: In the above sequence, x and y are integers, and the numbers are arran  [#permalink]

### Show Tags

Statement 1 tells us that Mean = Median ie 30 = 10+X+30+Y+50/5 as they are arranged in increasing order

150 = 10+X+30+Y+50

150 = X+Y+90

X+Y = 60 but does not give any value of Y-X.

Statement 2 tells us the half of X+Y = 30 but does not give any value of Y-X either.

So, ans is E.
Manager  S
Joined: 22 Jun 2018
Posts: 137
Location: Ukraine
Concentration: Technology, Entrepreneurship
GMAT 1: 600 Q44 V28 GMAT 2: 630 Q42 V34
GMAT 3: 660 Q48 V34
GPA: 4
Re: In the above sequence, x and y are integers, and the numbers are arran  [#permalink]

### Show Tags

1
Quote:
(1) The median of the sequence is equal to the mean.

The fact that med = mean implies that we have an arithmetic progression.
As we have a couple of known terms, so we can easily deduct "d" - difference of arithmetic progression:
a3= a1 + 2d = 10 + 2d = 30
a5=a1 + 4d = 10 + 4d = 50

d=10.
So x(a2)=a1+d=10+10=20; y(a4)=a1+3d=10+30=40

y-x=40-20=20.
Sufficient.

(2) (y+x)/2=30
From this statement we only know that x+y = 60. There are can be more than one pair of x and y that satisfies the statetment:
x=11 and y = 49 > y-x=38
x=12 and y=48 > y-x=36
Not sufficient.
Manager  B
Joined: 08 Jul 2017
Posts: 58
GMAT 1: 620 Q48 V29
Re: In the above sequence, x and y are integers, and the numbers are arran  [#permalink]

### Show Tags

Bunuel wrote:
10, x, 30, y, 50

In the above sequence, x and y are integers, and the numbers are arranged in increasing order. What is the value of y - x ?

(1) The median of the sequence is equal to the mean.

(2) $$\frac{y+x}{2}=30$$

Are You Up For the Challenge: 700 Level Questions

when mean =median, then series is in AP. that is why we can determine X & Y . kindly correct me Re: In the above sequence, x and y are integers, and the numbers are arran   [#permalink] 06 Dec 2019, 03:37
Display posts from previous: Sort by

# In the above sequence, x and y are integers, and the numbers are arran  