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

 It is currently 17 Oct 2019, 18:27

### 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

# In a newly constructed city, plots were rectangular in shape with

Author Message
TAGS:

### Hide Tags

Director
Joined: 18 Feb 2019
Posts: 581
Location: India
GMAT 1: 460 Q42 V13
GPA: 3.6
In a newly constructed city, plots were rectangular in shape with  [#permalink]

### Show Tags

07 Mar 2019, 01:25
2
00:00

Difficulty:

55% (hard)

Question Stats:

51% (01:53) correct 49% (02:10) wrong based on 43 sessions

### HideShow timer Statistics

In a newly constructed city, plots were rectangular in shape with a length being 2 units more than the breadth. If the area of all the plots are between 25 sq. units and 400 sq. units, which of the following can be the minimum and the maximum possible breadth of any plot? (length and breadth are integers)

A. 5,19
B. 4,19
C. 5,21
D. 6,21
E. 6,19
Math Expert
Joined: 02 Aug 2009
Posts: 7971
Re: In a newly constructed city, plots were rectangular in shape with  [#permalink]

### Show Tags

07 Mar 2019, 07:20
kiran120680 wrote:
In a newly constructed city, plots were rectangular in shape with a length being 2 units more than the breadth. If the area of all the plots are between 25 sq. units and 400 sq. units, which of the following can be the minimum and the maximum possible breadth of any plot? (length and breadth are integers)

A. 5,19
B. 4,19
C. 5,21
D. 6,21
E. 6,19

Let the length be l, where l=b+2, and breadth be b...
so area = l*b=b(b+2)
The range of area 25<b(b+2)<400...

We have two values

MINIMUM => b(b+2)>25....
In the options we have 4, 5 and 6. Since we are looking for minimum, let us test the smallest 4, so area = 4(4+2)=24<25... NOT possible
Next value is 5, so area = 5(5+2)=35>25... possible value So, 5 is the least

MAXIMUM => b(b+2)<400....
In the options we have 19 and 21. Since we are looking for maximum, let us test the largest 21, so area = 21(21+2)>400... NOT possible
Next value is 19, so area = 19(19+2)<400... possible value So, 5 is the least

Value 5, 19

A
_________________
Manager
Joined: 19 Jan 2019
Posts: 88
Re: In a newly constructed city, plots were rectangular in shape with  [#permalink]

### Show Tags

07 Mar 2019, 07:31
1
We can right away delete answer options B, C and D...
The area is between 25 and 400 .. if the breadth is 21.. then length would be 23.. and area would be way more than 400.
If the breadth is 4 , length would be 6 and area would be less than 25..

Thus leaving us with options A AND E... option A would be the right one because 5<6.

Posted from my mobile device
Re: In a newly constructed city, plots were rectangular in shape with   [#permalink] 07 Mar 2019, 07:31
Display posts from previous: Sort by