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

It is currently 13 Nov 2019, 00:22

Close

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
Your Progress

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.

Close

Request Expert Reply

Confirm Cancel

Set A consists of 5 different integers. If 1 is the least number in th

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58993
Set A consists of 5 different integers. If 1 is the least number in th  [#permalink]

Show Tags

New post 24 Jul 2019, 08:00
1
2
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

80% (01:01) correct 20% (01:16) wrong based on 234 sessions

HideShow timer Statistics

Manager
Manager
User avatar
B
Joined: 30 Oct 2018
Posts: 70
Location: India
Schools: IE '22
CAT Tests
Re: Set A consists of 5 different integers. If 1 is the least number in th  [#permalink]

Show Tags

New post 24 Jul 2019, 08:08
1
Set A consists of 5 different integers. If 1 is the least number in the set, is the median of the set less than 4?

(1) The range of the Set A is 4
(2) 5 is the greatest number in the Set A

Sol- 1) range= max-min
4= max-1
max=5
median =3 <4 (suff)

2)least no= 1
greatest= 5
1,2,3,4,5 (contains different int)
median <4 (suff)
(D)
_________________

----------------------------------
Plz Kudos! if my post helps....
SVP
SVP
User avatar
P
Joined: 03 Jun 2019
Posts: 1837
Location: India
Premium Member Reviews Badge CAT Tests
Re: Set A consists of 5 different integers. If 1 is the least number in th  [#permalink]

Show Tags

New post 24 Jul 2019, 08:09
2
Set A consists of 5 different integers. If 1 is the least number in the set, is the median of the set less than 4?

Let Set A = {1,x,y,z,w}

(1) The range of the Set A is 4
Range = Max - min = 4 => Max = 5=w
Only possible set A= {1,2,3,4,5} since all elements are different integers
Median = 3 <4
SUFFICIENT

(2) 5 is the greatest number in the Set A
Only possible set A={1,2,3,4,5} since all elements are different integers
Median = 3<4
SUFFICIENT

IMO D
_________________
"Success is not final; failure is not fatal: It is the courage to continue that counts."

Please provide kudos if you like my post. Kudos encourage active discussions.

My GMAT Resources: -

Efficient Learning
All you need to know about GMAT quant

Tele: +91-11-40396815
Mobile : +91-9910661622
E-mail : kinshook.chaturvedi@gmail.com
VP
VP
avatar
D
Joined: 20 Jul 2017
Posts: 1049
Location: India
Concentration: Entrepreneurship, Marketing
WE: Education (Education)
Re: Set A consists of 5 different integers. If 1 is the least number in th  [#permalink]

Show Tags

New post 24 Jul 2019, 08:10
1
Set A consists of 5 different integers. If 1 is the least number in the set, is the median of the set less than 4?

(1) The range of the Set A is 4
Range = 4
—> Maximum value = 5
—> Possible set = {1, 2, 3, 4, 5} ONLY
—> Median = 3 (<4)

Sufficient

(2) 5 is the greatest number in the Set A
—> Possible Set = {1, 2, 3, 4, 5} ONLY
—> Median = 3 (<4)

Sufficient

IMO Option D

Pls Hit kudos if you like the solution

Posted from my mobile device
Director
Director
avatar
P
Joined: 24 Nov 2016
Posts: 748
Location: United States
Set A consists of 5 different integers. If 1 is the least number in th  [#permalink]

Show Tags

New post Updated on: 24 Jul 2019, 09:31
1
Quote:
Set A consists of 5 different integers. If 1 is the least number in the set, is the median of the set less than 4?

(1) The range of the Set A is 4
(2) 5 is the greatest number in the Set A


given: set has 5 DIFFERENT integers, least is 1 = set {1bcde}
rule: range = greatest-least;
rule: median is the middle term in an ordered set or the average of 2 middle terms if the set has an even number of integers;

(1) The range of the Set A is 4: range=4… greatest-1=4, greatest=5,… set {1bcd5} since {bcd} must be different then, they must be {2,3,4}, sufficient.
(2) 5 is the greatest number in the Set A: set {1bcd5} since {bcd} must be different then, they must be {2,3,4}, sufficient.

Answer (D).

Originally posted by exc4libur on 24 Jul 2019, 08:12.
Last edited by exc4libur on 24 Jul 2019, 09:31, edited 1 time in total.
Senior Manager
Senior Manager
User avatar
G
Joined: 10 Aug 2018
Posts: 338
Location: India
Concentration: Strategy, Operations
WE: Operations (Energy and Utilities)
Reviews Badge CAT Tests
Re: Set A consists of 5 different integers. If 1 is the least number in th  [#permalink]

Show Tags

New post 24 Jul 2019, 08:13
Set A consists of 5 different integers. If 1 is the least number in the set, is the median of the set less than 4?

(1) The range of the Set A is 4-------- set could be 1 2 3 4 5 , 1 2 4 5 6 ... we will get a Yes and a No.... Not sufficient.
(2) 5 is the greatest number in the Set A--------- The set has to be 1 2 3 4 5 ..... we will get a definite answer.


B has to be the answer.
_________________
On the way to get into the B-school and I will not leave it until I win. WHATEVER IT TAKES.

" I CAN AND I WILL"

GMAT:[640 Q44, V34, IR4, AWA5]
Manager
Manager
avatar
S
Joined: 24 Jun 2017
Posts: 71
CAT Tests
Re: Set A consists of 5 different integers. If 1 is the least number in th  [#permalink]

Show Tags

New post 24 Jul 2019, 08:16
1
Set A consists of 5 different integers. If 1 is the least number in the set, is the median of the set less than 4?

(1) The range of the Set A is 4
(2) 5 is the greatest number in the Set A

In this question, given 5 different integers. 1 is the least number, so all other integers are positive.

1 2 3 4 10 -- YES
1 10 15 18 24 -- NO


1) Given range is 5, so highest integer is 5. So
1 _ _ _ 5
2 3 4 must be the rest, since its all different. 2 2 2 not possible
and only three integers between 1 and 5.
2) Highest integer as 5 --> implies same meaning as 1)

So IMO D
Manager
Manager
avatar
S
Joined: 30 Aug 2018
Posts: 103
Location: India
Concentration: Finance, Accounting
GPA: 3.36
WE: Consulting (Computer Software)
Premium Member
Re: Set A consists of 5 different integers. If 1 is the least number in th  [#permalink]

Show Tags

New post 24 Jul 2019, 08:17
1
(1) The range of the Set A is 4
range is 4 .1 is minimum
numbers can be 1 ,2,3,4,5.
sufficient

(2) 5 is the greatest number in the Set A
5 is the greatest
1 is least all integers different.
1,2,3,4,5
sufficient
Intern
Intern
avatar
B
Joined: 16 Jun 2018
Posts: 8
CAT Tests
Re: Set A consists of 5 different integers. If 1 is the least number in th  [#permalink]

Show Tags

New post 24 Jul 2019, 08:18
1
IMO D

We know that the 5 integers are unique and the least number is 1

Statement 1 -> Range is 4, and hence, the greatest number is 5. The other 3 numbers will be 2, 3 and 4. Thus, the median is 3 and < 4 ---> Sufficient
Statement 2 -> The greatest number is 5. The same solution as statement 1 ---> Sufficient
Manager
Manager
avatar
G
Joined: 26 Jan 2016
Posts: 180
CAT Tests
Set A consists of 5 different integers. If 1 is the least number in th  [#permalink]

Show Tags

New post Updated on: 24 Jul 2019, 08:37
1
Quote:
Set A consists of 5 different integers. If 1 is the least number in the set, is the median of the set less than 4?

(1) The range of the Set A is 4
(2) 5 is the greatest number in the Set A


Least no is 1
1. Range is 4. So max no is 1+4=5

As all number are different integers, we know median is 3<4
Sufficient

2. max no is 5

As all number are different integers, we know median is 3<4
Sufficient
Hence D
_________________
Your Kudos can boost my morale..!!

I am on a journey. Gradually I'll there..!!

Originally posted by kitipriyanka on 24 Jul 2019, 08:19.
Last edited by kitipriyanka on 24 Jul 2019, 08:37, edited 1 time in total.
Manager
Manager
avatar
G
Joined: 30 May 2018
Posts: 157
Location: Canada
GMAT 1: 710 Q49 V36
GPA: 3.8
Premium Member Reviews Badge
Re: Set A consists of 5 different integers. If 1 is the least number in th  [#permalink]

Show Tags

New post 24 Jul 2019, 08:20
1
D

There are 5 different integers in a set, with 1 being least. We need to check if median is less than 4.

(1) The range of the Set A is 4
Range is 4 and smallest no is 1, so greatest has to be 5. Between 1 and 5, we need 3 more places to fill, those integers have to be 2, 3 and 4 since all integers are different. Therefore, median is 3. Sufficient

(2) 5 is the greatest number in the Set A
Least is 1 and greatest is 5. Again, three other integers have to be 2, 3 and 4. So, median is 3. Sufficient.
Manager
Manager
User avatar
G
Joined: 08 Jan 2018
Posts: 129
CAT Tests
Set A consists of 5 different integers. If 1 is the least number in th  [#permalink]

Show Tags

New post Updated on: 24 Jul 2019, 20:31
1
Given, Set has 5 different integers, and 1 is the least number in the set. Therefore, 1 is also present in the set.
We need to find whether Median < 4?

(1) The range of the Set A is 4
i.e. max - min = 4
Thus, max = 4 + 1 = 5
Thus the only possible elements in set A are: [1 2 3 4 5]
Therefore in set A, Median < 4

Sufficient

(2) 5 is the greatest number in the Set A
Given, max = 5
We know min = 1
Thus the only possible elements in set A are: [1 2 3 4 5]
Therefore in set A, Median < 4

Sufficient

Answer D

Originally posted by Sayon on 24 Jul 2019, 08:20.
Last edited by Sayon on 24 Jul 2019, 20:31, edited 1 time in total.
Manager
Manager
User avatar
G
Joined: 28 Jan 2019
Posts: 126
Location: Peru
Premium Member
Set A consists of 5 different integers. If 1 is the least number in th  [#permalink]

Show Tags

New post Updated on: 24 Jul 2019, 18:24
1
From the statement we have that the set contain different integers and the least integer is 1, so set A must consist on the following numbers:

1 X Y Z T

From (1) The range of the Set A is 4, we have that:

Since all numbers are different integers T-1 =4, so T =5, and the only combination, since all are different numbers, must be:

1 2 3 4 5

So, sufficient.

From (2) 5 is the greatest number in the Set A, we have that:

T = 5, and since all numbers are different, the only possible combination is:

1 2 3 4 5

So, sufficient.

(D) is our answer

Originally posted by Mizar18 on 24 Jul 2019, 08:26.
Last edited by Mizar18 on 24 Jul 2019, 18:24, edited 1 time in total.
BSchool Moderator
User avatar
G
Joined: 07 Dec 2018
Posts: 143
Location: India
CAT Tests
Re: Set A consists of 5 different integers. If 1 is the least number in th  [#permalink]

Show Tags

New post 24 Jul 2019, 08:28
1
Set A consists of 5 different integers. If 1 is the least number in the set, is the median of the set less than 4?

a = {1, a, b, c, d}
is b<4?

(1) The range of the Set A is 4

d-1=4
d=5
Hence, the maximum value that c can take is 4.
And hence, b has to be less than 3.
Sufficient.

(2) 5 is the greatest number in the Set A
d=5 is given.
Same info that statement 1 gives.
Sufficient.

Ans should be (D)
Intern
Intern
avatar
B
Joined: 17 Jul 2019
Posts: 6
Location: United States (FL)
GPA: 3.8
WE: Consulting (Investment Banking)
Re: Set A consists of 5 different integers. If 1 is the least number in th  [#permalink]

Show Tags

New post 24 Jul 2019, 08:29
1
Things to note:
1) Set A has 5 different Integers (positive or negative)
2) Least number in the set is 1,therefore all the numbers must be positive.

Rephrasing equation 1) Set A has 5 different positve Integers

To Find: Median<4?

1) The range of the Set A is 4

The range is the difference between the highest and lowest values in the set. --- (3)
Let a) Highest value in Set A is H.V
b) Lowest Value in Set A is L.V

Range=H.V - L.V (according to 3)
4 = H.V- 1 ( L.V =1 (acc. to 2)
Upon solving, H.V = 5 --- (4)

Now, Set A= (1,2,3,4,5) ---- because highest value is 5, lowest value is 1, all the integers must be different and must be positive. So, we can have the definite answer for the median. Sufficient statement

(2) 5 is the greatest number in the Set A

It is saying the same thing as in equation 4. Therefore, sufficient.

Hence, D is answer IMO
Manager
Manager
avatar
S
Joined: 26 Mar 2019
Posts: 100
Concentration: Finance, Strategy
Re: Set A consists of 5 different integers. If 1 is the least number in th  [#permalink]

Show Tags

New post 24 Jul 2019, 08:32
1
Quote:
Set A consists of 5 different integers. If 1 is the least number in the set, is the median of the set less than 4?


This is Data Sufficiency (DS) question, and we have a set A with 5 distinct numbers. The smallest number is 1. It means that all other numbers are positive and greater than 1.
We need to identify if the median i.e. the third smallest or third greatest number in this set is less than 4.
Median < 4?

Let us analyze statements 1 by 1 and check if it can be identified:
Statement 1:
(1) The range of the Set A is 4

If range of set A is 4, it means that \(the\) \(greatest\) \(value - lowest\) \(value = 4\)
In this case, as all numbers in the set are different, the greatest value is \(1+4=5\) and the third value is \(1+2=3\) which is less than 4
\(median<4\)
Statement 1 alone is sufficient.
Sufficient.

(2) 5 is the greatest number in the Set A
If number 5 is the greatest number in the set A, we can continue with the solution as per statement 1.
Statement 2 is Sufficient.

As both statements are sufficient on their own, the answer is D.

Answer: D
GMAT Club Legend
GMAT Club Legend
User avatar
D
Joined: 18 Aug 2017
Posts: 5261
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member CAT Tests
Re: Set A consists of 5 different integers. If 1 is the least number in th  [#permalink]

Show Tags

New post 24 Jul 2019, 08:36
1
Set A consists of 5 different integers. If 1 is the least number in the set, is the median of the set less than 4?

(1) The range of the Set A is 4
(2) 5 is the greatest number in the Set A

given
A ; ( 1,b,c,d,e)
find c<4
#1The range of the Set A is 4
so e or say max value is 5
since given all values are different so c= 3 <4
sufficient
#2
5 is the greatest number in the Set A
same info as #1
sufficeint
IMO D
Manager
Manager
avatar
G
Joined: 28 Feb 2014
Posts: 178
Location: India
Concentration: General Management, International Business
GPA: 3.97
WE: Engineering (Education)
Re: Set A consists of 5 different integers. If 1 is the least number in th  [#permalink]

Show Tags

New post 24 Jul 2019, 08:37
1
Lets us say 5 different integers are 1,a,b,c,d in ascending order.
To determine: is b<4?

(1) d=5, so the integers are 1,2,3,4,5. Sufficient.

(2) again d=5. Sufficient.

D is correct.
Manager
Manager
User avatar
G
Joined: 10 Mar 2019
Posts: 75
Location: Russian Federation
Schools: Haas '21
GPA: 3.95
Re: Set A consists of 5 different integers. If 1 is the least number in th  [#permalink]

Show Tags

New post 24 Jul 2019, 08:38
1
Both statements tell us the same information.

(1) The range of the Set A is 4
If the range is 4 then the highest number is 5.
Since all integers are different we have the only possible solution
These integers are 1, 2, 3, 4, and 5.
And we can answer the question.

Sufficient.

(2) 5 is the greatest number in the Set A
If 5 is the greatest number, 1 is the least number and all 5 integers are different we have only one solution
These integers are 1, 2, 3, 4, and 5.
And we can answer the question.

Sufficient.


IMO D
Intern
Intern
User avatar
B
Joined: 09 Feb 2017
Posts: 16
Location: India
Concentration: Marketing, Operations
GMAT 1: 660 Q49 V31
GMAT 2: 700 Q48 V37
GPA: 2.87
WE: Engineering (Manufacturing)
CAT Tests
Re: Set A consists of 5 different integers. If 1 is the least number in th  [#permalink]

Show Tags

New post 24 Jul 2019, 08:38
1
Let the numbers be x1,x2,x3,x4 and x5. Let x1<x2<x3<x4<x5 and x1=1. Question is is x3<4.

1) Range =4; implies x2=2,x3=3,x4=4 and x5=5; Hence x3=3 <4. Sufficient
2) x5=5; implies x2=2,x3=3 and x4=4, x3<4. Sufficient

Answer is D
GMAT Club Bot
Re: Set A consists of 5 different integers. If 1 is the least number in th   [#permalink] 24 Jul 2019, 08:38

Go to page    1   2   3   4   5    Next  [ 95 posts ] 

Display posts from previous: Sort by

Set A consists of 5 different integers. If 1 is the least number in th

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne